3. The values of f, g, f and g' are given as follows. 2102 f(x33/22 g(z2/3 1/4-13-1 (a) Let P( (). Find the values...
(1 point) Let [ f(z)dx=-13, 5° f(x) dx = 3, $*g(x) dx = 6, §*9(a) dx = 1, J2 Use these values to evaluate the given definite integrals. a) ["{$(2) + 9()) dx = 6 .) – g(x)) dx = * (31(2) + 29(2) de = (af(x) + g()) dc = 0. d) Find the value a such that a=
Given the following table of values, compute f(g(4)). x f(x) 13 g(x) 3 | 4 | 8 2 Do not include "f(g(4)) =" in your answer.
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13
Differentiate. Let f and g be functions that satisfy: f(4)-1, g(4)--3, f'(4)--2,and g'(4)-3. Finod h(4) for h(x)-f(x)g(x)-2/(x)+'7 O-5 -13 13
Let F :P3 + R2 be a linear transformation with three values given below. F(22) = 11 F(x) = 1 f(1) = 1 Find F((x – 2)2) B. Find an element of ker(F)| A.
9. Let f(z) z4 +6z2 13. Find the residue of z2/f(z) at the zeros f(2)=0 which lie in the upper half-plane fwEC: Rew> 0}. of =
9. Let f(z) z4 +6z2 13. Find the residue of z2/f(z) at the zeros f(2)=0 which lie in the upper half-plane fwEC: Rew> 0}. of =
Let p(q) = 24 + x3 +1 € Z2[2] and let a = [2] in the field E = Z2[r]/(p()), so a is a root of p(q). (a) (15 points) Write the following elements of E in the form aa'+ba? +ca +d, with a, b, c, d e Z2. i. a", a, a, and a 10 ii. a ta' + a² +1 iii. (a? + 1)" (b) (5 points) The set of units E* = E-{0} of the field E...
Let p(q) = 24 + x3 +1 € Z2[2] and let a = [2] in the field E = Z2[r]/(p()), so a is a root of p(q). (a) (15 points) Write the following elements of E in the form aa'+ba? +ca +d, with a, b, c, d e Z2. i. a", a, a, and a 10 ii. a ta' + a² +1 iii. (a? + 1)" (b) (5 points) The set of units E* = E-{0} of the field E...
Let f(z) z2 and g(z)-z-2, find: a. (fo g)(z) = [ Preview b, (go f)(x) c. (fo g)(-)-1 d' (g of)(-1) = Get Help: Preview Video eBook Points possible: 1 This is attempt 1 of 1. 閂亩□
QUESTION 9 Use the values given in the table for differentiable functions f and g to answer the following questions. 3 f(x) f'(x) g(x) g'(x) 1 3 2 3 -3 2 5 3 1 -2 3 10 4 0 -1 (a) If B(x) = f(x) · g(x), find B'(3). (b) If M(x) = f(g(x)), find M'(1). (c) If P(x) = f(x3), find P(1).
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...