Question: If x 2 + y 2 + z 2 = 9 , dx dt = 7 , and dy dt = 8 , find dz

If
x2+ y2+ z2=9,
dx
dt
=7,
and
dy
dt
=8,
find
dz
dt
when
(x, y, z)=(2,2,1).
dz
dt
=

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

6. [-/3 Points] DETAILS SCALCET9 14.4.003.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following surface. z = 4x2 + y2 - 5y Let z = f(x, y). Find fx(x, y) and fy(x, y). x ( x , y ) =...

Q:

4. For each of the following, evaluate Is w using Stokes's Theorem or Gauss's Theorem. (a) S is topological boundary of cylindrical solid y2 + z2 ~ 9, ~ x ~ 2, with outward-pointing normal, and w =...

Q:

6. [-/3 Points] DETAILS SCALCET9 14.4.003.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following surface. z = 4x2 + y2 - 5y Let z = f(x, y). Find f (x, y) and f (x, y). fx ( x, y ) =...

Q:

Exercise 4.5 Calculus \fQuestion 1 0/1 pt 5 100 99 O Details dz Find given: dt z = me'y, x = t', y= - 1+ 2t dz dt Your answer should only involve the variable t. Let z(x, y) = - 3x2 - 6y where x = -...

Q:

Chain Rule (One independent variable) Let w(x, y, z) = 7xy arcsin (z) where x = to , y = t , 2 = 3t. dw dx Calculate by first finding dy dz dt , and and using dt dt the chain rule. dx dt dy dt dz dt...

Q:

Suppose x is a predator and y and z are both prey. z grows logistically in the absence of the predator, while y grows at an exponential rate in the absence of the predator. x dies in the absence of...

Q:

Please #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23 1-6 Write out the form of the partial fraction decomposition of x+ 4 the function (as in Example 7). Do not determine the numerical 31. x2 + 2x + 5 -...

Q:

If x + y+z = 9, dx dt = 8, and dy dt dz = : 5, find when (x, y, z) = (2, 2, 1). dt

Q:

Please # 25, 27, 29, 31, 33, 35, 37, 47, 51, 63, 65 1-6 Write out the form of the partial fraction decomposition of x+ 4 the function (as in Example 7). Do not determine the numerical 31. x2 + 2x + 5...

Q:

Need help correcting my final paper before its due, and special help with circled questions! Thank you 3. Perform the following integrals. Show your substitutions and any other work that is needed....

Q:

On July 1, year 1, Planet Corporation sold Ken Company 10- year, 8% bonds with a face amount of $ 500,000 for $ 520,000. The market rate was 6%. The bonds pay interest semiannually on June 30 and...

Q:

A quasi-reorganization: a) may produce a positive balance in retained earnings. b) will restate retained earnings to zero. c) should appear on the income statement as part of continuing operations....

Q:

Upon graduation from college, Warren Roberge was able to defer payment on his $ 3 6 , 0 0 0 student loan for 9 months. Since the interest will no longer be paid on his behalf, it will be added to the...

Q:

Present and Future Values of Single Cash Flows for Different Interest Rates Use both the TVM equations and a financial calculator to find the following values. Round your answers to the nearest cent....

Q:

LAST WORD Suppose that a tax cut involves two alternative schemes: ( a ) a $2 tax cut or tax rebate for each of the 10 people in the breakfast club, or ( b ) a tax savings for each of the 10 in...

Q:

KEY QUESTION Suppose the government misjudges the natural rate of unemployment to be much lower than it actually is, and thus undertakes expansionary fiscal and monetary policies to try to achieve...

Q:

Use the short-run aggregate supply schedules below to answer the questions that follow: AS (P100) AS (P125) AS (P75) P Q P Q P Q 125 $280 125 $250 125 $310 100 250 100 220 100 280 75 220 75 190 75...