Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
Find the slope of the line through the points (13, 14) and (0, −1)
Answer:
[tex] \frac{15}{13} [/tex]
Step-by-step explanation:
gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of line
[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]
In a circle with radius 22, an angle measuring 2\pi2π radians intercepts an arc. Find the length of the arc in simplest form.
Answer:
15
Step-by-step explanation:
The length of the arc in its simplest form will be 138.16 units.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.
Then the length of the arc in the simplest form will be given as,
Arc = (2π/2π) 2π (22)
Arc = 44 x 3.14
Arc = 138.16 units
The length of the arc in its simplest form will be 138.16 units.
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6. Given the function f(x) = –5x + 2, find the range of f(x) for x = –1, 0, 1.
options:
A. –7, –2, 3
B. 7, 2, 3
C. –7, –2, –3
D. 7, 2, –3
Answer:
it is D = 7, 2, -3
Step-by-step explanation:
step 1
-5 x -1 + 2 = 7
step 2
-5 x 0 + 2 = 2
step 3
-5 x 1 + 2 = -3
hope this help's
Answer: D = 7, 2, -3
Step-by-step explanation:
Please help ASAP. Will mark as Brainliest.
∠A and ∠B are supplementary. If m∠A = 83° , what is the measure of ∠B?
7°
83°
97°
17°
suplementary means adds to 180
a+b=180
a=83
83+b=180
minus 83 both sidse
b=97
answer is 97 degrees
Answer:
97°
Step-by-step explanation:
Supplementary angles are a pair of angles whose sum is 180°.
If one angle of a pair of supplementary angles is given, it is easy to find the other angle.
It can be found out by subtracting the given angle from 180.
So here in this case, ∠A + ∠B = 180° where ∠A = 83°
83 + ∠B = 180
∠B = 180 - 83
∠B = 97°
So the m∠B = 97°
Hope this answer helps you.
PLS MARK ME AS BRAINLIESt.
“Which expressions are equivalent to x + x + x + 2?”
Answer:
3x+2
Step-by-step explanation:
x+x+x=3x
Because there are three lots of x
You can’t add 2 to the x so 2 is going to be separate
Answer is
3x+2
PLS HELP IF U HAVE THE WORK PLS ADD I RLLY NEED HELP THANK YOU ITS OK IF U DONT KNOW ALL OF THEM BUT MORE THAN 5 WILL HELP A LOT
what is the inverse of the function f(x)= 19/x³
What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp
Are my answers correct?
Answer:
Step-by-step explanation:
1. it is an equilateral triangle.
let base=2x
let h be the height from centre.
h/8=sin 30=1/2
h=1/2×8=4
so total height=8+4=12
again x/8=cos 60
x=(√3/2)×8=4√3
Base=2x=2×4√3=8√3
area of triangle=1/2×8√3×12=48√3 sq. units.
2.
one diagonal=3+8=11
second diagonal=5+5=10
area=1/2 d1d2=1/2×11×10=55 sq units
Find the slope of a linear function passes through the points (3,2) and (-4,1)
Answer:
1/7
Step-by-step explanation:
We can use the slope formula(k=y₁-y₂/x₁-x₂) to solve this problem
k = 2-1/3-(-4) = 1/7
solve for y please !
Answer:3
Step-by-step explanation:
I need help with this too....Thanks In advance and will.give you five star and brainlist....
Answer:
1/8
Step-by-step explanation:
I think you mean under 5 minutes
1/4*1/2
1/8 probability that the next call will be a customer complaint and will be dealt with under five minutes
(I am not sure if I'm correct with the proportions)
PLZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEE
A quadrilateral has two pairs of parallel sides. The opposite angles in the quadrilateral are congruent but do not measure 90 degrees. Which of the following best describes the quadrilateral? A. square B. parallelogram C. trapezoid D. rectangle
parallogram has opposite sides parallel
only with this point we can say that the given quadrilateral is a parallogram
Answer: i think its parallelogram.
Step-by-step explanation:
parallelogram has 2 sets of parallel sides, Opposite sides are congruent, opposite angles are congruent, all angles are NOT congruent, and all sides are NOT congruent.
hope its CORRECT :)
Write the following as an algebraic expression. Subtract 6X +4 from 4X -14.
___________________________________
Hey!!!
Here's your answer:
4x-14-(6x+4)
=4x-14-6x-4
=4x-6x-14-4
=-2x-18
Hope it helps..
Good luck on your assignment_
________________________________
Answer:
[tex]= - 2x - 18 \\ = - 2(x + 9) \\ [/tex]
Step-by-step explanation:
[tex]4x - 14 - (6x + 4) \\ 4x - 14 - 6x - 4 \\ 4x - 6x - 14 - 4 \\ = - 2x - 18 \\ = - 2(x + 9)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
#stay safe#
The perimeter of the scalene triangle is 54.6 cm.
A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.
Which equation can be used to find the value of b if side a measures 8.7 cm?
8.7 plus b equals 54.6
17.4 plus b equals 54.6
26.1 plus b equals 54.6
34.8 plus b equals 54.6
Answer:
8.7 plus b equals 54.6
Step-by-step explanation:
4(8.7) + b = 54.6.
b = 19.8 cm.
The sum of the sides = the perimeter = 3a + a + b = 54.6.
Now a = 8.7, so:
3(8.7) + 8.7 + b = 54.6
4(8.7) + b = 54.6.
b = 54.6 - 4(8.7)
b = 19.8.
Answer: D.) 34.8 + b = 54.6
Step-by-step explanation: i hope this helps :)
The diameter of the cylinder is 6 cm.
If the height is triple the radius, what is the volume of the cylinder? Use 3.14 for pi and round to the nearest
hundredth.
Answer:
254.34 cubed centimeters
Step-by-step explanation:
Sean drinks 350mL of milk every day. How many liters of milk does he drink in a week?
Answer:
2.45 L in a week
Step-by-step explanation:
First find out how many ml he drinks in a week
350 mL * 7 days
2450 mL in a week
We know that 1000 mL = 1 L
2450 mL * 1 L /1000 mL = 2.45 L in a week
Answer:
2.450 litres.
Step-by-step explanation:
The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml
(-42.27,4.4) and (2.27,3.1) what is the slope?
Answer:
i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
HELP KEY FOR SLOPE RIGHT HERE!Using the Slope Equation:
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
How do you calculate rise over run?
Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.
What does a slope of mean?
The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.
How do I find slope?!
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)
PLEASE GIVE ME BRAINLIEST! have a great day.
EMERGENCY REALLY NEED HELP only answer this one queastion and i will give brainly and 30 points PLEASE HELP ME JESUS
Answer:
boundary lines are parallel
Step-by-step explanation:
When there are no solutions to a system of equations which consists of two lines, it means the lines are parallel, but have different y intercepts. This happens when the boundary lines are parallel
Answer:
The boundary lines are parallel
solve for 3x2 + 15x = 12
Step-by-step explanation:
3x2 pls is this multiplication sign or it is (x)
15. The set of ordered pairs represents a function.
{(1,3), (2, 9), (k, 12), (5,9), (8,0)}
Which of these could be the value of k?
A. 0
B. 1
C. 5
D. 8
Answer:
A. 0
Step-by-step explanation:
In a function, all x-coordinates must be different.
The given function already shows 1, 2, 5, and 8 as x-coordinates, so you must choose a number other than those.
Answer: 0
The correct option will be Option A : the value of k will be 0.
What is a function?The function is a relation between two sets where one set is called the domain and another set is the codomain which is one one or many one relations.
If the x or input values are different then the relation will become a function.
So we can say if the x values are repeated and their corresponding y or output values are the same, then also the relation becomes a function.
If the x values are repeated and their corresponding y or output values are different, then the relation will not become a function.
Given the ordered pairs are {(1,3), (2, 9), (k, 12), (5,9), (8,0)
As we know the x value is repeated and the y value is different then the relation will not be a function.
So here in the given ordered pair, there is no any second 12. So k value should not be equal to 1,2,5,8 otherwise it will not be a function.
By checking all the options
0 is not present in x value of the given ordered pair.
Therefore the correct option will be Option A : the value of k will be 0.
Learn more about function
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A baseball player reaches base 7 out of 20 times. How many times can he expect to reach base in 800 at-bats? a.40 b.787 c.300 d.280
Answer: D. 280
Step-by-step explanation:
20 goes into 800 40 times
7×40=280
Hope this helps.
Answer:
I hope this helped and please mark me brainliest! :)
D. 280
Step-by-step explanation:
We can divide 800 bats by 20. That will give us 40. We then multiply 7 by 40 and we get 280.
Two similar cylinder have radii 3 cm and 4 cm. If the first cylinder has a volume of 270cm³ , find the volume of the second cylinder.
Please help me , i need help.
Answer: 480 cu. cm
Step-by-step explanation:
Height of first cylinder: h = V/pi r^
= 9.55 cm
Volume of second cylinder = pi r^2 h
= 480
Answer:
360
Step-by-step explanation:
Find the relativeness: If 3 is to 270 then 4 is to ?
270/3 = 90
90 times 4 = 360
Therefore if
3 is to 270
then
4 is to 360
Solve for : 3 2 + −10 = 0. PLEASE HELP
Answer:
Step-by-step explanation:
32+(-10)
32-10
22 is not equal to 0
so its false
Answer: no solution
Step-by-step explanation:
Remove parentheses.
32+-10=0
Simplify 32+-10 to 32-10
32-10=0
Simplify 32-10 to 22
22=0
Since 22=0 is false, there is no solution.
PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!
Question 1). Mrs. Cruz randomly surveyed 25 of her 125 students about their pets. Her survey indicated that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Cruz’s best estimate of the total number of her students who have a dog? Justify your answer.
Answer: 70 I’m almost certain
Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70
Help please I don’t understand it
Answer:
C
Step-by-step explanation:
The original price p is reduced by 3000 to obtain the new price
(06.07 MC)
The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (V), in mm, to
which it grows:
y = 4 + 2x
What does the slope of this function represent? (1 point)
Select one:
a The original height of the plant was 4 mm.
b. The original height of the plant was 2 mm.
C. The height of the plant increases by 2 mm for every hour of sunlight it receives.
d. The height of the plant increases by 4 mm for every hour of sunlight it receives.
Amar tried to evaluate an expression step by step. -2 + 5 - (-3)
= -2 + 5 - 3 1
= -2 + 2 2
= 0 3
Find Amar’s mistake.
Choose 1 answer:
Ⓐ 1
Ⓑ 2
Ⓒ 3
Ⓓ Amar did not make a mistake.
Answer:
1.
Step-by-step explanation: - (-3) should be a positive 3 when simplified. Whenever there is two negative sign in front of a number it is going to be positive.
The solution to the expression is A = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the expression , we get
A = -2 + 5 - ( -3 )
On simplifying , we get
Step 1 :
A = -2 + 5 + 3
The - ( -3 ) becomes positive value and Amar made a mistake in Step 1
So , the value of A is
Step 2 :
A = -2 + 8
On simplifying the equation , we get
Step 3 :
A = 6
Therefore , the value of A is 6
Hence , the expression is A = 6
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The perpendicular line which of the following equations represents the line that passes through the point 1,-1
Answer:
The answer is the letter A