Given that y= (x2+1)n, where n is a positive integer, show that the ratio of dy/dx when x =1 to d2y/dx2 =1:n. Thank you!
Find the integral of (cos(2x) dx)/(sin^2 (2x)) from pi/12 to pi/4. Answer: 1/2 Please show all your work.
Evaluate the expressions. y = f(x), X =f(x) a. f(-1) = ? b. f^-1(3) = ? c. f^-1(0) = ? d. (f^-1 * f)(3) = ?
Find the area of the region in the xy-plane bounded above by the graph of the function f(x)=4, below by the x-axis, on the left by the line x=4, and on the right by the line x=24
Find the dy/dx using f(x+?x)-f(X)/(?x)
Wondering what the different ways are of finding the area under a curve and with a quick explanation of how they work? (Calculus) ekjfahkhsd;fkd;shf;kashf;dshfklfh;
A piece of plexiglass is in the shape of a semicircle with radius 2 m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass.
Find tangent line to the curve, given a point: Y= cosx - sinx (Pi, -1) I used the difference rule: (d/dx cosx) - (d/dx sinx) -sinx...
When multiplying y ^2 by y^-2 do you add the exponents? If so that would be zero correct?
The graphs of the polar curves r=3 and r=4-2sin(theta) are shown in the figure above. The curves intersect when theta=pi/6 and theta=5pi/6. a) Let S be the shaded region that is inside...
At what value of x is f(x) a minimum? I know f'(x) = e^((x^2-3x)^2) , but I don't know how to continue. Thanks!
Find the answer first using the deriavtive of the polynomial function.
after the coffee is heated to 200 degrees , it is set in a room at 50 degrees.It cools at a rate that is proportional to the difference between its current temperature and that of the surrounding...
the problem is let F(x) = ((x3 - B) / (x-2)) if X<0 , Ax+B if 0<x<4 , 2x2 if x>4 I have to find both A ad B which make it continuous...
Every month, a particular interest-bearing account earns 0.2 percent interest on the average balance for that month. The function B(t) =7.5t^2 -300t +5000 represents one investor's balance...
here the the equation of the parabola: y=6x^2 - 3x +4
1, x = t2 + 5t +4 , y= 4t , t=o 2, x = cosθ, y = 3sinθ , θ=0
1, x = 2+t2 , y = t2 + t3