Question

Find an equation for the ellipse of eccentricity 2 /3 that has the line x = 2 as a directrix and the point (4, 0) as the corresponding focus.

Find answers to questions asked by student like you

Q: Find the average value of ƒ(x) = sqrt(x + 1)/ sqrt(x) on the interval [1, 3]

A: Given a function

Q: Evaluate the limit, if it esxists. (If an answer does not exist, enter DNE.). lim x°-4I+3 x>3 X-3

A: Factor the numerator.Factor 3 so that the sum of the factors is -4Factors are -3 and -1Write -4x as ...

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of ...

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is fu...

Q: Show that a. cosh iu = cos u, b. sinh iu = i sin u.

A: To show that

Q: lim x → 0− g(x) lim x → 0+ g(x) Is g continuous at x = 0?

A: On the left side of x=0, y is approaching -3 So, limit x-> 0^- g(x)= - 3

Q: How can you sometimes find the area bounded by a parametrized curve and one of the coordinate axes?

A: Let the equation of parametrized curve be

Q: Solve the homogeneous equations (x + y) dy + (x - y) dx =0

A: Given,

Q: Solve the differential equation listed below:

A: Separate the variables.

Q: Find polar equations for the circles in Exercises 57–58. Sketch each circle in the coordinate plane ...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...