use trigonometric substitution to integrate

Q: How do I choose  my g(u,v) and h(u,v)?

A: The double integral is given by,

Q: how to find  Find the area of the region enclosed by one loop of the curve. r = sin(4θ)

A: The given curve is r= sin4thetaArea of the curve enclosed in the first loop is,

Q: Find the function F that satisfies the following differential equations and initial conditions F'''(...

A: We are given second derivative as 

Q: For the year data given in the chart find a power function that is used to model the Lorenz function...

A: A power function is of the form,y = axbWe can take log to the natural base “e” on the both the sides...

Q: find the derivative of f(x)= 2x^3 + 4e^3

A: Given information:The given function is  

Q: Water drains from the conical tank at the rate of 5ftmin 14. 4 10 Exit rate: 5 ft/min a. What is the...

A: By using the concept that the sides of similar triangles are proportional, therefore, the ratio of r...

Q: 2 sec x Ay and the 2 In the figure to the right, the equation of the solid curve is y equation of th...

A: The curves are given by,

Q: I need help for this.

A: (a)  Use the ratio test and compute the interval of convergence as follows. 

Q: The heat flow vector field for conducting objects is F=−k∇T​, where T(x,y,z) is the temperature in t...

A: Assume k = 1.Then the vector field becomes, F = −∇T.Find ∇T as follows.