dydzwhen (x, y, z) = (2,2,1).dtdx= 7, finddt11If x2+y2+z? = 9,dt8,dzX when (x, y, z) = (2,2,1)dt

Answered: If x2+y?+z? = 9, dt dx dy = 7, find zp…

Math

Calculus

If x2+y?+z? = 9, dt dx dy = 7, find zp dt when (x, y, z) = (2,2,1). = 8, %3D %3D dt dz dt X when (x, y, z) = (2,2,1)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: A model for tumor growth is given by the Gompertz equation = a (In b – In V) V where a and b are pos...

A: Given: A model for tumor growth is given by the Gompertz equation, dVdt=aln b-ln VV, where a and b ...

Q: Given the side length c = 9 and the angle A = 47° on the triangle below, find the lengths of a and b...

Q: 1-cos x lim sin x x→0

A: Given: limx→01-cosxsinx

Q: The population of Hungary has been modeled by P = 9.919(0.998)',

Q: Determine whether the improper integral converges and, if so, evaluate it. (Express numbers in exact...

Q: Evaluate the limit lim CSC X

Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

Q: Use substitution to find the Taylor series at x = 0 of the function 22 sin (- x). ...

Q: Find a formula for the linear function with a slope of 8 and a y-intercept value of 8. Use x as the ...

Q: Describe the level surfaces of the function f (x, y, z) = y2 + z2.

Q: Does the series (- 1)"n²| =| 3 converge absolutely, converge conditionally, or diverge? n= 1 Choose ...

A: We want to check the series is convergent or divergent.

Q: 1. Let y be the part of the curve y =r² running from (-1,1) to (2,4). Calculate ry dr + (x+ y) dy.

Q: Find the point (x,y), at which the graph of y = 6x + 6x - 5 has a horizontal tangent. 2 The function...

A: Topic = Derivative

Q: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet...

Q: For the function y - f(x)- 2x + 0: df at = d.x a. Find 4. f'(-4) = 96 b. Find a formula for a 1 df a...

A: Answer: a.) ddf(2x3+0) = 6x2 =f'(x)f'(-4) = 6×(-4)2 = 96 b.) y = f(x) = y = f(x) = 2x3 + 0y = 2x3 ...

Q: The table below gives data from a linear function. Find a formula for the function. Year, t Value of...

A: We have to find the linear function.

Q: Part A The human heart consists largely of elongated muscle cells, some 100 µm long and 15 um in dia...

A: We need to choose correct option.

Q: O Find the set s on w/C fu (x) = x Sin converges pointwise. in Your answer Q2: Write your answer on ...

A: The given sequence of function, fnx=x sinxn

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

Q: Test each of the following series for convergence by either the Comparison Test or the Limit Compari...

Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

Q: Find the Taylor series generated by fat x = a. f(x) = 9*, a = 3 Choose the correct answer below. 729...

Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: Suppose that in winter the daytime temperature in a certain office building is to be maintained at 7...

Q: 1. Find the values of x,4 and z that corvespond to the critical point of the funchion Z="f(x,4)= Sx?...

A: We have to find critical points of f(x,y).

Q: The local linearization, L(x) for the function f(x) = ln(x) at the point where a = 1 is given by L(x...

Q: Suppose that the average cost, in dollars, of producing a shipment of a certain product is 48,000 C=...

A: Given average cost function C=3000x+48000x

Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection. (I...

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

Q: [sin (21x) dx

A: ∫sin4(21x)dx Note- sin2x=1-cos(2x)2 and cos2x=1+cos(2x)2

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Topic = Integration

Q: (g) sin vt dt.

A: Intigrating the given equation.

Q: A cylinder has a height equal to its radius. Find the rate of change of volume V with respect to rad...

Q: ā xb = 6 x a а

Q: x*+2х+3

A: We can find the integration as below.

Q: Evaluate the following expression. arcsec (2) Provide your answer below: Radians

Q: Any line perpendicular to r(t) = t+ ·

Q: Find the Taylor series generated by f at x= a. f(x) = 2*, a = 1 Choose the correct answer below. O A...

Q: 10n Consider the series Evaluate the the following limit. If it is infinite, type (n + 1)62n+1 n=1 "...

Q: Draw a contour map of the function f (x,y) = (y – 2x)2 showing several level curves.

Q: Evaluate the integral. Show all your work. dx (x² – 1)32

Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic =Limits

Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

Q: 13 What is the Maclaurin series of 1+x Σ (Type an expression using n and x as the variables.) n=0

A: Given: f(x)=131+xTo find the Maclaurin series for f(x):f(x)=∑n=1∞ xnf(n)(0)n! ; n=0,1,2,...Formul...

Q: Solve the given initial-value problem. 7y2 y5 t2 t 0, У(1) 3D 1 2y4 dy dt

Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2)) To find:- fx(x, y) at (3, 4)

Q: ind all critical points of the function f(x) 4x2 %3D 5x2-2x+4 Jse symbolic notation and fractions wh...

Q: Question Find far for f(, e tan(). Sorry, that's incorreci. Try again?

Question

dy
dz
when (x, y, z) = (2,2,1).
dt
dx
= 7, find
dt
11
If x2+y2+z? = 9,
dt
8,
dz
X when (x, y, z) = (2,2,1)
dt

Expert Solution

Step 1

$G i v e n x^{2} + y^{2} + z^{2} = 9 \frac{d x}{d t} = 8, \frac{d y}{d t} = 7$

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

What does Peanos EU theorem guarantee for the IVP: dy/dt = -t/y , IC: (to,0)
How is the linearization of f (x, y) at (a, b) defined?
Calculate dy/dt using the given information. x^4/3+y^4/3=2; dx/dt=6, x=1, y=1
if x^2 + y^2 + z^2 = 9, dx/dt = 5, dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
How is the linearization of f(x, y) centered at (a, b) defined?
Integrate f(x,y,t)=3x^2-2y+t over line segment C joining the origin to point (2,2,2,)
resolver usando la transformada de Laplace y"+6y'+5y=t-tU(t-2), y(0)=1, y'(0)=0
Find the total differential of W = x^4 y^3 z^2 + x^3 Y^2 + x^2 z +y + 3 at (2,1,1)
Integrate f(x, y, z) = x2 +y – z over the line segments from (0, 0, 0) to (1, 1, 0) and then to the point (1,1, 1).
IntegrateF(x, y, z) = z, over the portion of the plane x + y + z = 4 that lies above the square 0<= x <= 1, 0<=y<=1, in the xy-plane
What does Cauchys EU theorem guarantee for The IVP: dy/dt = -(y)^2/2t, IC: (to,0)
Show all work of integrating x and y. As specific