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Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4 + 3x3 - 2x - 2; x = -3 A) 52 B) 50 C)-31 D) -29 Use L'Hopital's Rule to compute each of the following limits: (a) lim cos(x) -1 2 (c) lim 1-0 cos(x) +1 1-0 2 sin(ax) (e) lim 1-0 sin(Bx) tan(ar) (f) lim 1+0 tan(Br) (b) lim cos(x) -1 sin(ax) (d) lim 1+0 sin(Bx) 20 2 Find the exact length of the curve.x = e^t 9t, y = 12e^t/2, 0 t 3 The loop is in a magnetic field 0.32 T whose direction is perpendicular to the plane of the loop. At t = 0, the loop has area A = 0.285 m2.Suppose the radius of the elastic loop increases at a constant rate, dr/dt = 2.70 cm/s .1) Determine the emf induced in the loop at t = 02) Determine the emf induced in the loop at t = 1.00 s . there are 5000 people at a stadium watching a soccer match and 1000 of them are female. if 3 people are chosen at random, what is the probability that all 3 of them are male? In the event of premium default, which life insurance provision will use the cash value to keep the policy in force? what is the degree of multiprogramming for a single-processor system how often should a renewable media pleated surface be changed patent prints become latent prints when the fingerprint is not formed by residue, but by the body's natural oils and sweat on the skin that are deposited onto another surface. Find the absolute maximum and minimum, if either exists, for the function on the indicated interval f(x)=x* + 4x -9 (A) (-1,2) (B)1-4,01 (C)I-1.11 (A) Find the absolute maximum Select the correct choi "The invoice amount is $885; terms 2/20 EOM; invoice date: Jan5a. What is the final discount date?b. What is the net payment date?c. What is the amount to be paid if the invoice is paid on Jan Let R be a binary relation on Z, the set of positive integers, defined as follows: aRb every prime factor ofa is also a prime factor of b a) Is R reflexive? Explain. b) Is R symmetric? Is Rantisymmetric? Explain. c) Is R transitive? Explain. d) Is R an equivalence relation? e) Is (A,R) a partially ordered set? 2) Evaluate a arcsin x dx by using suitable technique of integration. Which of the following is characteristics of people in a trance?1.) the inability to eat2.) a lack of voluntary control.3.) the inability to be killed.4.) the ability to remember every detail experienced during the trace. Inflation is defined as increases in the average prices in the economy. The February 2022 inflation rate is 7.9% which is the highest in the last 40 years. Have you noticed the price increases in your daily life? What goods are increased by the most? and by how much? What do you think are the causes of the recent inflation? How do you cope with the inflation? a researcher compares the dog and human sequences of gene x and its protein product. the nucleotide sequences of the two different species' genes are 87% identical, whereas the amino acid sequences of the proteins are 99% identical. the discrepancy between the nucleotide and amino acid levels of sequence identity is possible because the genetic code is a large solar panel on a spacecraft in earth orbit produces 1.2 kw of power when the panel is turned toward the sun. What power would the solar cell produce if the spacecraft were in orbit around Saturn, 9.5 times as far from the sun?" The solution is 11 Watts. I just can't find the steps to solving this. Consider the reaction 30(g) 2 03(g) for which AHxn= +285 kJ and AS rxn -148.5 J/K. Which of the following statements regarding its temperature dependence is true?A. This reaction is spontaneous at all temperatures. B. This reaction is nonspontaneous at low temperatures and spontaneous at high temperatures. C. Insufficient data are provided to ascertain the temperature dependence of the reaction. D. This reaction is nonspontaneous at all temperatures. E. This reaction is spontaneous at low temperatures and nonspontaneous at high temperatures. On January 1, Crane Company has a beginning cash balance of $32000. During the year, the company expects cash disbursements of $240000 and cash receipts of $190000. If Crane requires an ending cash balance of $30000, the company must borrow$37000.$30000.$82000.$48000. acording to hares research studies what is the criminal psychopath lacking