Question: Suppose z = x ^ 2 siny , x = 3 s ^ 2 - 2 t ^ 2 , y = - 4 st

Suppose z=x^2siny, x=3s^2-2t^2, y=-4st.A. Use the chain rule to find and as functions of x, y, s and t.

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:

Suppose z = x siny, x = -4s2 + 3t2, y = -8st. A. Use the chain rule to find oz and az at as functions of x, y, s and t. at B. Find the numerical values of o and at oz when (s, t) = (4, 4). 8z (4, 4)...

Q:

1. Given f (x) = - x+3 -find the following: x2 - 2x - 15 . lim f (x) x--3 b. All x-values where f(x) is not continuous c. lim f (x) x-0 2. Let f (x) =x# -8x +15. Find all x-values where the slope of...

Q:

9. The distance in feet of an object from a starting point is given by s(t) = 2t- -5t + 40 where t is the time in seconds. Find the velocity and acceleration at 2 seconds. 10. Find the derivative of...

Q:

16.The temperature T {in degrees Fahrenheit} of a person during an illness is given by Tin = of +1.2: + ass. where t is the time in days. c. Find Tia) and interpret your results. d. Find T18) and...

Q:

7. For the graph below, find the following: a. lim f (x) = b. lim f (x) = X ->-00 X ->00 c. lim f (x) = d. lim f (x) = X-0 X->-4+ e. lim f (x) = f. f ( -4) = X-3 g. the X - values where the function...

Q:

(a) Let z = f(x, y) and x = u 2 v 3 , y = 2uv + v 2 . Find f v at the point (u, v) = (1, 0) when f1(1, 1) = 3 and f2(1, 1) = 4. (b) Let z = x 2 + 3xy + 7y 3 . Compute all possible second order...

Q:

The space truss shown has four members. Determine the displacement components of node 5 and the force in each member. The node numbers are numbers in the circle in the figure. The dimensions of the...

Q:

which option would it be? Find the equation of the tangent line to the graph of f (x ) = 1 x 3 + x 2 at 2 = 3 4 = 152-27 ST 4 = 3x + 4 y = 15x +27 y = 27 2 + 15 15 y = 27 2+ 13

Q:

Suppose that |x - 2|

Q:

Express the graph shown in color using interval notation. Also express it as an inequality involving x. -2 -1 2 3 6 9 10 Use interval notation to describe the graph. What is the resulting interval?...

Q:

Cans of fruit are often packed in boxes as shown below. Calculate the area that is wasted in between all the cans. d=6" x boo

Q:

Using the forms for the butcher test and the cooking loss test illustrated in Figures 6.3 and 6.4, complete butcher test and cooking loss test calculations for a rib of beef, U.S. Choice, weighing 38...

Q:

Which of the following are constraints that developers face that prevent them being able to build housing that is affordable?Group of answer choicesLocal zoningBuilding standardsLabor...

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...