4. (10 points) Define g(3) in a way that extends g(x) = (x2 - 9)/(x –...
4 Define f(1) in a way that extends [5] f(s) = to be continuous at s = 1.
8. Let y = x2 cos x, Find y' 9. Let g(x) = -2 cos x, Find g'(x) 10. Find F(x) = (4x + 3)5, Find F'(x) BONUS QUESTION (15 POINTS Let y = (4x - 3)(x - 1)5; Find y"
11. -1 points SAlgTrig4 7 1037 Verify the identity. sin(x) cos(-x) -sin x -cos x This answer has not been graded yet. Need Help? Rea I 12. O1 points SAgTrig4 7.1.040 Verify the identity. (sin(x) + cos(x))1 +2 cos(x) sin(x) This answer has not been graded yet Need Help? 16.0/1 points SAlgTrig4 7 1.063 Verify the identity csc(x) + sec(x) = cos(x) + sin(x) cot(x) + tan(x) .This answer has not been graded yet Need Help? Red 19. -1 points...
5. Is f continuous at f(1)? (10 points) [-x2 +1, 4x, f(x) = -5, -1<x<0 0<x<1 x=1 1<x<3 3<x<5 - 4x + 8 1,
8. (13 points) Let g(x) = /3 + x2. (a) Find Ti (r), the first Taylor polynomial for g(x) based at b 1 (b) Use your answer to (a) to approximate the value of 3.25 (c) Use Taylor's inequality to find an upper bound for the error in your approximation in part (b) 8. (a) Ti(r)2 +3(x - 1) (b) 3.25 g(0.5) Ti(0.5) = 1.75 (c) HINT: |g"(x)| = 3 + x2)3/2° This is positive and decreasing on [0.5, 1]....
Theoretical Part 1. Consider the problem of computing f(x)dx, where f(x) could be any function. Letting X1, X2 IID ~U[0, 2, define three very simple estimators: ff(0)f(2), i2= f(X1)f(X2), fi3 = f(X1/2) + f((X2+2)/2) (a) (5 points) Is ft an unbiased estimator of u? (b) (5 points) Is i2 an unbiased estimator of ? (c) (5 points) Is 3 an unbiased estimator of ? (d) (10 points) Compute the variance of each of the three estimator when f(x) x
Theoretical...
(7 points total) Calculator allowed. Let f(x) = -x2 + 4, g(x) = x4 + 3x3 – x2 + 1, and let R be the region enclosed by f(x) and g(x). y -5 -2 0 . -5 -10 -15 Made with Desmos (a) (2 points) Find the area of R, round to three places. (b) (3 points) Suppose R is the base of a solid whose cross-sections are semi-circles perpendicular to the x-axis. Find the volume of the solid. Round...
4 0/6.66 points | Previous Answers LarCalcET7 5.3.075 Find the Riemann sum for f(x) x2 +3x over the interval [0, 8] see figure), where xo = 0, x1 = 1, x2-2, x3 = 6, and x,-8, and where C1-1, c2-2,C3-5, and C4-8. 302 10아 80 60 40 20 10 6 4 8 2 20
4 0/6.66 points | Previous Answers LarCalcET7 5.3.075 Find the Riemann sum for f(x) x2 +3x over the interval [0, 8] see figure), where xo =...
Let f(x) = x3 + x. This is a one-to-one function. What is f(f(-2) + 3) ? Which of the following functions f(x) satisfy limx-of(x) = 1 ? (Select all that apply.) f(x) = x2 + cos(x) f(x) = sin(x) A(X) = cos(1) f(x) = x sin(= f(x) = sin() f(x) = 1 + sin(x)
URGENT
2) Find the x coordinates of all relative extreme points of f(x)÷4÷3 1 4.2.3.3,2+4 2+4 2) A) x--3,1 B)x=0 C)x=-3, 0, 1 D) x-1, 0.3 E) x-1.3 3) Find the x coordinates of all relative extreme points of fo) 4-33-6x2-1 ints of f(x)- 4- 3-6x2-1 3) A) x2, 0,3 B)x 0 C)x=-2.3 D) x--3,2 E) x--3,0,2 4) Find the relative minimum point(s) of fx)x35x2-10. 4) A) (0, f(o)) B) (-2, f(-2)) and (5, f(5)) C) (-2, f(-2)) and (0,...