Use the Chain Rule to find z/s and z/t. z = ln(3x + 2y), x = s

Question:

Use the Chain Rule to find ∂z/∂s and ∂z/∂t.

z = ln(3x + 2y), x = s sin t, y = t cos s

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

See More Books

Question Posted: May 19, 2021 07:43 AM

See More Questions

Use the Chain Rule to show that if is measured in degrees, then (This gives one reason for the convention that radian measure is always used when dealing with trigonometric functions in calculus: The...
Use the Chain Rule to find the indicated partial derivatives. z = x 4 + x 2 y, x = s + 2t u, y = stu 2 ; ze ze when s 4, t= 2, u = 1 dz as' at' du
Use the Chain Rule to find the indicated partial derivatives. u = xe", x= a*B, y= B'y, t = y'a; when a 3D - 1, 3 2, 3D 1 da' aB' dy
How does the range of hFE (Fig. 3.23j, normalized from hFE = 100) compare with the range of hfe (Fig. 3.23f) for the range of IC from 0.1 to 10 mA?
Using the realtor sales information from Exercise 13.14, the realtor makes a typical commission of $4000 on each home sold, but he needs to pay an assistant $900 each week. a. What is the realtor's...
Use the information for Merrill Corporation from BE206. Assume that a residual value of $17,000 is expected at the end of the lease, but that Merrill does not guarantee the residual value. Prepare...
True or False: If MARR $=10 \%$ and IRR $=9 \%$, then ERR $ <10 \%$ and $\mathrm{PW}>\$ 0$.
Dudley Calendars imprints calendars with college names. The company has fixed expenses of $ 1,125,000 each month plus variable expenses of $ 4.50 per carton of calendars. Of the variable expense, 74%...
3. Suppose f: RR is continuous and U CR. Assume R has the usual Euclidean metric. (a) Define U is "open" in R.
The following account balances are for Lisa Assaad, Certified Public Accountant, as of April 30, 20X1. INSTRUCTIONS Using the accounting equation form, determine the balance for Lisa Assaad, Capital,...
Show that the limit does not exist. 2 lim (x, y)(0, 0) x? + 3y?
Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all...
Why does SFAS No. 52 provide an example of finite uniformity in terms of the use of remeasurement?
The first challenge is to help Rita to achieve the following: 1- Prepare Personal Cash Flow Statement. 2- Personal Balance Sheet. 3- Calculate the current Ratio, debt to assets ratio and savings...
You own a construction company with a revenue of $365,000. The direct costs of producing goods is $280,000. Your annual general overhead is $42,000 that includes $3000 in meals and entertainment;...
Use the information provided in the table below to calculate the dividend yeild and expeted return on Verizon stock. Verizon Stock Price $ 51.91 Next Expected Dividend $ 2.56 Dividend Growth Rate...
Write a function called delete_repeats that has a partially filled array of characters as a formal parameter and that deletes all repeated letters from the array. It returns a new dynamic array where...
1. 1) The term structure of interest rates (30 p) Date 31.10.2008 30.09.2019 1 year yield 0,9738 1,7897 2 year yield 1,4104 1,656 3 year yield 2,0107 1,5498 4 year yield 2,5805 1,4988 5 year yield...
The positions of three particles, written as (x, y) coordinates, are: particle 1 (mass 4.0 kg) at (4.0 m, 0 m); particle 2 (mass 6.0 kg) at (2.0 m, 4.0 m); particle 3 (mass 3.0 kg) at (1.0 m, 2.0...
Tiger, Inc. signed a lease for equipment on July 1, 2007.The lease is for 10 years (the useful life of the asset).The first of 10 equal annual payments of $500,000 was made on July 1, 2007.The...
Evaluate the integral. tan'x dx
Evaluate the integral. tan sec x dx
Evaluate the integral. X sec x tan x dx
An electron (me = 9.11 1031 kg) with velocity v = (2.50 106 m/s)i + (3.00 106 m/s)j moves through a uniform magnetic field B = (0.20 T)i (0.15 T)k. Calculate the (a) magnetic force exerted on the...
A planet moves around a star of mass 2.1 x 1030 kg completing one revolution every 2.7 x 107 seconds. What is the average distance (in m) of the planet from the star?
A 3.0-cm-wide diffraction grating has 1500 slits. It is illuminated by light of wavelength 510 nm. What is the angle (in degrees) of the first diffraction order? Express your answer using three...

Use the Chain Rule to find z/s and z/t. z = ln(3x + 2y), x = s

Question:

Step by Step Answer:

2 ln3x 2y x s sint y t cos s s t ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions