T (1 point) Evaluate f(x) dx, where J12) f(x) = { 2.2 -ASX < 0 | 3 sin(x), 0 < x < 1. [fle) de =
Problem 3: Show that cosh ax dx = 1 cosh x^4 *2cos (ra/where (al<1 om dx = - D 1 1 4 . 1 1 .
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
Question 9 Evaluate the integral f(x) dx where 203 f(x) = for x <1 for x > 1 6 7 4 5 3 O2 11 2
1. Evaluate S SR(5 – y)dA with R= {(x, y)|0 SX 55,0 Sy < 4} by identifying it as the volume of a solid and then calculating the volume geometrically.
(1 point) Book Problem 21 Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 0.5e-20, 0 < x < 2. L = Să f(x)d« where f(x) = The estimation S4 =
Given that , Jº f (x) dx = 15 and , S | (r) dx = 9 where a <b<c Determine the following 1. a Sº f (x) dx = 2. Sº 3f (x) di = 3. Sº f (I) du = 4.. S f(x) dx =
(1 point) Let f(x) = 0 if x < -4 5 if – 4 < x < 0 -3 if 0 < x < 3 0 if x 2 3 and g(x) = Los f(t)dt Determine the value of each of the following: (a) g(-8) = 0 (b) g(-3) = 5 (c) g(1) = (d) g(4) = (e) The absolute maximum of g(x) occurs when x = 0 and is the value It may be helpful to make a graph...
Consider the function f(0) = 2x3 + 6x² – 144x +1 with -6<< < 5 This function has an absolute minimum at the point and an absolute maximum at the point Note: both parts of this answer should be entered as an ordered pair, including the parentheses, such as (5, 11). į < x < 5. Consider the function f(1) = 1 – 2 In(x), The absolute maximum value is and this occurs at x equals The absolute minimum value...
7. Evaluate the circulation integral [/s<= x F) .nds where F(x, y, z) = (x + 3,4+2,2 + y) and S is part of the upper part of the sphere r2 + y2 + 2+ = 25 with 3 <=55(you may use any theorem you find helpful).