Show your work to receive credit. Write your f Given f(x) = (4x2 - 1)(2x +...
YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT!!! 1) Find the SOP form of X in all cases and simplify if possible using Boolean theorems. D- BT AL Doo Do was Da D D D 3) Simplify the following to minimal POS form. a) ((X + D')': A+ B'Y' + BC b) Y'X + X'Y c) ((AY)') · B+ XY' + BX'
Show all work. Answers without supporting work will receive no credit. 1.) Evaluate the limit using l'hopital's rule if necessary b.) lim xan a.) lim Please write clearly.
Show your work and CIRCLE or BOX your final answer. No credit if work is not shown. Differentiate. 1) f(x) - 3x2 - 5x + 7 Basic Derivative Rules 1. (c)' = 0 2. Fix) + (x)] = f'(x) g'(x) 3. ) - 9(x)]* = f'() - g'(x) 4. Icf(x)]* = f'(x) 5. txx)-f(xlg'(x) + g(xY'x) f'(x)-f(x)g'(x) [g(x)] Derivatives of Trigonometric Functions sin(x) = cos(x) csc(x)=-csc(x)cot(x) * cos(x) = -sin(x) “sec(x) = sec(x) tan(x) tan(x) = sec (x) cot(x) =...
Show all work. Answers without adequate justification will not receive full credit. 1. 12 pts Find the derivative of each of the following. You do not need to simplify your answer. a. f(x) = (2(lnx) + 1)5 b. g(x) = ln(x31x + 1)
(a) For each of the following, determine if L'Hopital's Rule applies. lim * x2+2x–15 cos(x-3)-1 (No Response) lim x3 e-x2 (No Response) x → ^ lim lim t3 ? t-3 3 (No Response) Vo Resp (b) Use L'Hopital's rule to evaluate the following limit. Enter your work in the answer fields below. If a second application of the rule is required, show your calculations. If not, enter NA. Credit for a final answer will not be given without supporting calculations....
Show work by hand and also using MATLAB code.
Model 1 Given a polynomial f(x) Write a first-order approximation of f(x), given the value of f(x) at two points Plot the polynomial and the first-order approximation on a graph Write a second-order approximation of f(x), given the value at three points. Plot the polynomial, the first-order and second-order approximations on a graph Find the integral Exactly Using trapezoidal rule Using composite trapezoidal rule Using Simpson's 1/3 rule . Calculate the...
Please show all work for full credit, Circle or otherwise clearly indicate your answer to each question. Simplify all answers. Do not leave any negative exponents or complex fractions in your final answers. Compute the given derivative. 1) dx =-9 Simplify. 2) e4x - 1 Differentiate. 3) e3x ex 4) f(x) = 1 + x2
3. Determine algebraically whether each of the following functions is one-to-one. Show your work! (a) f(x) = 4x2 4x (b) g(x) 3x + 2 2x – 1
DIRECTIONS: Work the problem. You must show all work to receive credit, and you must return this sheet, Be sure to explain carefully your answers and show your work in a neat and organized manner. The problem is worth 20 points. A student studying centripetal forces and accelerations did the experiment using unknown values for the mass of the accelerated block mb, the added mass ma, the speed vo, the radius ro, and the force Fo. The student used ma...
Find each of the following values given that f(x)= and g(x) = 2x +1. b. (f-9)(0) a. (f+gX-1) c. (fog)(2) . (9) a. (f+9)-1)= (Simplify your answer. Type an exact answer, using radicals as needed.) b. (f-9)0)= (Simplify your answer. Type an exact answer, using radicals as needed.) C. (-9)2) = (Simplify your answer. Type an exact answer, using radicals as needed.) d. (1) (Simplify your answer. Type an exact answer, using radicals as needed.)