multivariable calculus please write clearly Prob. 3 (a) (10 points) Let f(x, y, z) = cos(x2) + xey2 – 2x²y?. Compute V.Of. (b) (10 points) Evaluate x² + y² + 2² <9, 220. 32 + y2 + z2 dV, where is the upper hemisphere
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
4. (10 points) Define g(3) in a way that extends g(x) = (x2 - 9)/(x – 3) to be continuous at x=3. 5. (10 points) If f(x) = (x -8)(1/2) , L = 5, c = 33, and epsilon = 1, find what delta has to be. 6. (10 points) Use the addition formulas to confirm if sin (ft/2 - x) = cos x is an identity. 7. (10 points) What is average rate of change of f(x) = x3...
1) Let f(x) and g(x) be f(x)-x2-x (x)- x + 2 Find (f/gXx) 2 +a 2) Solve the 2-equation system for both the variables x and y 5x-4y1 2x + 3y-2 3) Find an equation for the line parallel to y x-8 with the y-intercept being(0,-5).
Area between the curve problems 1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y 1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y
using the general power rule Question 1 let y = (x2 +x)3 Find y' 2x+1 3(x2+x)2 3(x2+x)2 (2x+1) • (x2+x)2 (2x+1) recall general power rule formula has three parts: [u(x)" ]' = n u(x)" 1 u'(x) Question 2 let y = (x3 +x2) 1/3 Find y' (x3 +x2) 1/3 (1/3) (x3 +x2) 1/3 . (1/3)(x3 +x2)-2/3 (1/3)(x3 +x2-2/3 (3x2+2x) recall general power rule has three parts. [u(x)"l' = n u(x)n-1 u'(x) Question 5 let g(x) = 1/(x3+x2)3 find g'(x) (x²+x23...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin st , z = sat find 4)Find the minimum of the function f(x,y) = x2 + y2 subject to the constraint g(x, y) = xy - 3 = 0 5)Find the first and second order Taylor polynomials to the function f(x,y) = ex+y at (0,0). 6) Let f(x, y, z) = x2 – 3xy + 2z, find Vf and Curl(f)
(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...
i need help with these two for homework Question 26 Let f(x)=x2-1, g(x) = 3x – 2. Find the function. (-8)(5) of-g)(5) = 15 of-g)(5) = 10 O None of the above o-g)(5)= 11 ob-g)(5)=9 OV-8)(5) = 12 Question 27 Graph the solution set of the system. tral y<x+3 O -34 1 2 3 4 5 -3 2+ 1+ 43 1 1+ 2 3 4 5 +6 -34 + Y . +1 EI 3 777 T 7 2 1+ T...
I need help on this question Thanks 1. Let g(x) = x2 and h(x, y, z) =x+ y + z, and let f(x, y) be the function defined from g and f by primitive recursion. Compute the values f(1, 0), f(1, 1), f(1, 2) and f(5, 0). f(5, ). f(5, 2) 1. Let g(x) = x2 and h(x, y, z) =x+ y + z, and let f(x, y) be the function defined from g and f by primitive recursion. Compute...