Problem 1. (a) The radius of a sphere is increasing at a rate of 4 mm/s....

Question

Question

Answer 1

Answer #1

die: 4-1 ((h), (on) c) u h = 2560011 ma Differentiale + P. AF 10 (2) + 8 (1) 2013 Dede b) y = ln (+ 100) 3 both sides, veget

Answer 2

Similar Homework Help Questions

please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the...

please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
D1.1. Evaluate f'(a) by using the definition of derivative of a function f(x) = 4x2 +...

D1.1. Evaluate f'(a) by using the definition of derivative of a function f(x) = 4x2 + 3x – 5 at a = -2. [4 Marks] D1.2. (a) Find the derivative of y = 4 sin( V1 + Vx). (b) If y = sin(cos(tan(x2 + 3x – 2))), then find the first derivative. [3 Marks] D1.3. Using logarithmic differentiation, find the derivative of y = (sec x)+”.
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of...

Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...

Use logarithmic differentiation to find the derivative of the function. y = (tan(x))2/ 4 cos ec(2x)...

Use logarithmic differentiation to find the derivative of the function. y = (tan(x))2/ 4 cos ec(2x) y' = 2 ln(tan(x)) 2 Need Help? Read It Watch It Talk to a Tutor Submit Answer 13. [1/1 Pointsi TOT
Calculus 1 MAT 201 Final Exam, Spring 1 2019, LAGCC Evaluate the following limits, you may...

Calculus 1 MAT 201 Final Exam, Spring 1 2019, LAGCC Evaluate the following limits, you may use L'Hospital's rule, if it applies. -V31+4 lim 4-1 -4 a. b. Evaluate the following limit. lim xIn x x-0 2. Evaluate and explain your answer -xsin(x)+cos (x) x+1 130 dx (a.) 130 Differentiate each of the following below using the fundamental theorem of calc part 1 X cos? (1- 51) dt ) g (x) = S_ e (2c) g(t)= J x2t+1 3 Use...
The region is a cone, z == ? + ytopped by a sphere of radius 4....

The region is a cone, z == ? + ytopped by a sphere of radius 4. Find the limits of integration on the triple integral for the volume of the snowcone using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers 0 = theta, o =phi, and p = rho. Cartesian V= "SC"}, "plz,y,z2) dz dydz where A B = .D= and p(x, y, z) = E= F= Cylindrical v=L" S "*P10,0,2)dz dr do where...

Problem # 1: (70 points) Solve the following problems (a) and (b) using Laplace Transform: a) (7 ...

Problem # 1: (70 points) Solve the following problems (a) and (b) using Laplace Transform: a) (7 points) y(0)-y'(0)-0 y"(0)-1 b) (dX/d't) + 3 (dy/dt) + 3y-0 (7 points) (d'x/d't) +3y-te' x(0) = 0 x'(0) = 2 y(0) = 0 c) An nxn matrix A is said to be skew-symmetric if AT--A. If A is a 5x5 skew-symmetric matrix, show that 9detA)-0 (4 Points) d) Suppose A is a 5x5 matrix for which (detA) =-7, what is the value of...
(1 point) All parts of this problem refer to the function below. y=(3+52)5/2 dy a) Use...

(1 point) All parts of this problem refer to the function below. y=(3+52)5/2 dy a) Use logarithmic differentiation to find dar dy dx b) Find the slope of the tangent line at x = = 1. Slope = C) Find the equation of the tangent line at x = 1. Tangent line: y
(14) 1. This problem investigates the iterated integral I - Jxdy dz. . a) Compute I. b) Use the a...

Please show all work thanks (14) 1. This problem investigates the iterated integral I - Jxdy dz. . a) Compute I. b) Use the axes to the right to sketch the region of integration for I c) Write I as a sum of one or more dz dy integrals. You do not need to compute the result! 4 (10) 2. Find and classify using the Second Derivative Test all critical points of f(x, y)2 Resembling problem 19 in section 14.7...

Problem 8. (1 point) If z2 = x2 + y2 with z > 0, dx/dt 4,...

Problem 8. (1 point) If z2 = x2 + y2 with z > 0, dx/dt 4, and dyldt = 5, find dzldt when x = 12 and y = 35. dz Answer: dt =