Write the chain rule formula for the given composition

Assignment Help Mathematics
Reference no: EM13848140

Write the Chain Rule formula for the following composition using a tree diagram

z = g(x,y),

where x = x(r,?), y = y(r,?). Write formulas for the partial derivatives ?z/?r and ?z/ ??. Use them to answer the following question: find first partial derivatives of the function z=ex +yx2, in polar coordinates, that is find ?z/?r and ?z/ ?? as a function of polar coordinates (r,?).

Reference no: EM13848140

Questions Cloud

A rectangulr cross section alumina bar : A rectangulr cross section alumina bar, E=415 GPas , v=0.23  of initial lengths 100mm in the x direction, 10mm in the y direction and 20mm in the z direction, is loaded in compression by a load of 50 kN applied in the x-direction. What are the strain..
What is the elastic strain energy per unit volume in mj/m3 : If the sphere is made of steel (E=210 Gpa, poison ratio=0.29 ) and the internal pressure is 10MPa, the radius of the sphere is 0.5m, and the wall thickness is 10mm, what is the stress state in MPa? What is the elastic strain energy per unit volume in..
The bicycle with the treadmill still in motion : Lets say you subjected yourself to a weird experiment by bicycling on a treadmill. What is expected to happen once you apply the brakes on the bicycle with the treadmill still in motion?
Fea it is preferred to analyze thin structures : Why is that in FEA it is preferred to analyze thin structures using shell elements rather than the solid elements?
Write the chain rule formula for the given composition : Write the Chain Rule formula for the following composition using a tree diagram. Write formulas for the partial derivatives ?z/?r and ?z/ ??. Use them to answer the following question.
How is a modern passenger aircraft brought to halt : How is a modern passenger aircraft brought to halt after landing? Considering the enormity of a modern jetliner and the momentum involved.
Calculate the stress state in the wall of a thin-walled : Calculate the stress state in the wall of a thin-walled spherical pressure vessel in terms of the internal pressure, p, the sphere radius, r, and the wall thickness, t.
Imagine a container is removed from a hot oven : Imagine a container is removed from a hot oven and plunged into cold water. Which material would be more likely to have better thermal shock resistance?
A unidirectional, continuously reinforced glass fiber : A unidirectional, continuously reinforced glass fiber composite has Vf=60 volume percent fibers in a matrix of epoxy. Glass has a Young's Modulus of E glass =70 GPas ; epoxy has a Young's Modulus of E epoxy = 2 GPas. Give numerical values for the Yo..

Reviews

Write a Review

 

Mathematics Questions & Answers

  Estimate the mean score

You want to estimate the mean score within ±10 with 90% confidence. How large an SRS of scores must you choose? Give your answer as a whole number.

  Why might the results of this survey be inaccurate

A female student wants to determine whether or not students at the college like the cafeteria's food. This student uses a random number generator to help randomly select students in the cafeteria during lunch hour.

  Solve euler-lagrange equation and explain the solution

Show that provided that B> -7/3, the coefficient of ε2 in the expansion of Δ is negative. What is the significance of Δ being negative - Solve Euler-Lagrange equation, and explain the significance of the solution.

  Write this as an augmented matrix

Write this as an augmented matrix, call it T . (b) Solve the linear system from part (a) in terms of the free variable f4 . (c) If the traffic is regulated on CD so that f4 = 10, what will the average flows on the other streets be? (d) What is the..

  What type of sampling

What type of sampling? the population consists of all 250 students in your large statistics class. You plan to obain a simple random sample of 30 students by using the sampling frame of students present next monday.

  Find the force against the end

The deep end of a swimming pool is vertical and has the shape of an isosceles trapezoid across the top, across the bottom, and deep. Find the force against the end.

  How fast is the radian measure of the angle

How fast is the radian measure of the angle between the ladder and the ground changing at the moment when the bottom of the ladder is 12 feet away from the wall?

  What is the volume of the remaining ring

A manufacturer drills a hole through the centre of a metal sphere of radius 5cm. The hole has radius 3cm. What is the volume of the remaining ring?

  Write a simplified expression for the weekly revenue

Write a simplified expression for the weekly revenue and Construct a table of values and graph the function

  Information about vector subspaces

Suppose that V and W are vector subspaces of Rn. If I define: How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example)

  At what rate is his distance from second base changing

A baseball batter is running to first base at the rate of 30 ft/sec. When he has run halfway, at what rate is his distance from second base changing?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd