Question: Show that if ((x, y) = g(x)h(y) then f(x, y) dy dx=| | g(x) dxl| | h(y) dy

Show that if ((x, y) = g(x)h(y) then

Show that if ((x, y) = g(x)h(y) then

f(x, y) dy dx=| | g(x) dxl| | h(y) dy

Step by Step Solution

★★★★★

3.46 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

First step used linearity of in... View full answer

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

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (3317).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

If X and Y are any two random variables, then the covariance of X and Y is defined by Cov(X, Y) = E ((X E(X))(Y E(Y ))). That Cov(X, X) = V (X). Show that, if X and Y are independent, then Cov(X, Y)...

Q:

If X and Y are any two random variables, then the covariance of X and Y is defined by Cov(X, Y) = E ((X E(X))(Y E(Y ))). Note that Cov(X, X) = V (X). Show that, if X and Y are independent, then...

Q:

Show that if a family is given as g(x, y) = c, then the orthogonal trajectories can be obtained from the following ODE, and use the latter to solve Prob.6 written in the form g(x, y) =c. y 19 x

Q:

Set a 0 and b 2 Find the area under f x by selecting the between f x and g x by selecting the f x g x dx option Use the interactive figure to find your answer f x dx 0 Type an integer or decimal...

Q:

MATH 140 EXAM 1 Professor: Dr. J. Beyers NAME________________________ INSTRUCTIONS The exam is worth 100 points. There are 20 problems (each worth 5 points). This quiz is open book and open notes,...

Q:

MATH 201 - Brief Calculus Review for Test 1 1. Estimate the slope of the following function at x = 1. Show (on the graph) how you arrive at your estimate. 2. Use the limit definition to find the...

Q:

Did I do this question right? If not can you show me where I made a mistake? Can you also explain how to do B in detail? I am unable to open a file so please don't make the explanation a file. Method...

Q:

Answer: 3xVx2+7 Answer: -4 # y = sin2 (x2) , y' =? # g(t) = (+3 -2)7 , g'(1) =? Answer: 2 cos(x2) - 4x2 sin(x2) Answer: - csc x(cot2 x + csc2x) # For what value of t does y =- V3t-2 have # h (x ) =...

Q:

Unit 2: Derivatives Instructions There are 16 questions in this Assessment Opportunity. Show all work for each question. 1. Find the derivative of the following. a. f(x) =13x* -7x3 +5x3+11x+75 b....

Q:

Least Squares Approximation Hector D. Ceniceros 1 Least Squares Approximation Let f be a continuous function on [a, b]. We would like to find the best approximation to f by a polynomial of degree at...

Q:

Two organ pipes open at one end but closed at the other, are each 1.14 m long. One is now lengthened by 2.00 cm. Find the frequency of the beat they produce when playing together in their fundamental.

Q:

A boy has stacked two blocks on the floor so that a 500-kg block is on top of a 280-kg block. If the coefficient of static friction between the two blocks is 0.400 and the coefficient of static...

Q:

44. In a cover story, BusinessWeek published information about sleep habits of Americans (BusinessWeek, January 26, 2004). The article noted that sleep deprivation causes a number of problems,...

Q:

Create an attribute table for a company picnic.

Q:

Suppose we tested n diseased people. Compute x2 as a function of n. Does it increase proportionally to the sample size? The significance of deviations from the null hypothesis depends on the sample...

Q:

Find the expectation of C1. A random variable Cv follows a x2 distribution with v degrees of freedom if Cv = X21 + X22 + ... + X2v where X1, X2, ... , Xv follow the standard normal distribution.

Q:

Compute the critical value for p = 0.05 with 1 degree of freedom. A random variable Cv follows a x2 distribution with v degrees of freedom if Cv = X21 + X22 + ... + X2v where X1, X2, ... , Xv follow...

Q:

Un cilindro de 50 Ib descansa sobre dos superficies lisas. (a) Dibuje el diagrama de cuerpo libre del cilindro. (b) Si a = 30, cules son las magnitudes de las fuerzas ejercidas sobre el cilindro por...

Q:

A newly issued bond has a maturity of 10 years and pays a 6.2% coupon rate (with coupon payments coming once annually). The bond sells at par value. points a. What are the convexity and the duration...

Q:

Which of the following is credited to the buyer of a property at closing in Illinois?O A . B . D . sale price earnest moneyproperty taxes paid in advance unused seller's in trance premium