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.
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
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...