

. Let f(x) = 22,3 + 5 sin x + 4 cos x. Find (Ji ),(4) 1 . Let f(x) = 22,3 + 5 sin x + 4 cos x. Find (Ji ),(4) 1
Problem 7. (6 points) Let f(x) = 5 sin(x) 3 + cos(x) Find the following: 1. f'(x)= 2. f'(5) = Note: You can earn partial credit on this problem.
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0
4. (a Let (sin( x cos( ) dr...
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
-10.7 POINTS Let f(x) = cos X - sin x for OS X S 27/3. Find the area A of the region between the graph of f and the x-axis on the given interval. (Hint: Where is f(x) > 0 and where is f(x) < 0?) 12. -70.7 POINTS Let F(x) = [5 (1 + 4314 de . Then F'(x) =
9 - sin (1 point) Find the derivative of f(x) = 5 - COS f'(x) = Preview My Answers Submit Answers You have attempted this problem 0 times. You have 2 attempts remaining. Email WebWork TA
Find the range of the following functions
Please solve without using calculus
(vii) f(x)sin (sin x) (viii f(x) cos (cos x) (ix) f(x)sin (sin x)cos (sinr) (x) f(x) cos (sin x)sin (cos x)
(vii) f(x)sin (sin x) (viii f(x) cos (cos x) (ix) f(x)sin (sin x)cos (sinr) (x) f(x) cos (sin x)sin (cos x)
Let F(x, y, z) = sin yi + (x cos y + cos z)j – ysin zk be a vector field in R3. (a) Verify that F is a conservative vector field. (b) Find a potential function f such that F = Vf. (C) Use the fundamental theorem of line integrals to evaluate ScF. dr along the curve C: r(t) = sin ti + tj + 2tk, 0 < t < A/2.
Find the derivative of each
one.
a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x
a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x
Thank you to any who can help.
- Let f(x, y) = sin r cos y +2.14 and let C be the path in the ry plane that follows the arc of y = sin x from 6, 1) to (7,0). Then (a) Find the gradient of f, that is, find F=Vf. (b) Explain why Green's Theorem cannot be applied to find | F. dr Jc (c) Use a different method to find F. dr
(1)Calculate the scalar curl of the vector field.
F(x, y) = sin(x)i + 6 cos(x)j
(2)
Let F(x, y, z) = (2exz, 3 sin(xy),
x7y2z6).
(a) Find the divergence of F.
(b)Find the curl of F.
-/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...