Volume and Centroid of an Ice Cream Cone (Sphere on top of Cone).

Please see the attached file for the fully formatted problems. Find the volume and centroid of the ice cream cone.

Average distance from a point on a disk.

Please see the attached file for the fully formatted problem. Show that the average distance of a point of a disk with radius a is...

Surface area of the part of a sphere that is inside a Cylinder

Please see the attached file for the fully formatted problem.

Volume enclosed by a surface.

Show that the volume enclosed by the surface ___ is equal to ___. Please see the attachment.

Find where a Line Intersects a Circle

Determine the points where the line intersects the circle.. 4x+3y=24 x^2+y^2=25

8 calculus problems

Please answer eight (8) calculus problems. Please show as much works as possible for every problem. The problems are posted in the following website: http://www.netprofitspro.com/math.html

Differentiation using the product rule and the chain rule with the exponential function

Find the derivative of the function y=x^2e^(3x) See Attachment for a cleaner version of the question.

Triple Integrals : Finding Volume of Solids with Boundaries

1) Evaluate the triple integral e^(1-(x^2)-(y^2)) dxdydz with T the solid enclosed by z=0 and z= 4-(x^2)-(y^2) 2) Find the volume of the solid bounded above and below by the cone (z^2) = (x^2) + (y^2), and the side by y=0 and y= square root(4-(x^2)-(z^2))

This problem involves evaluating an indefinite integral using the substitution rule.

Evaluate the following indefinite integral. int[(x^a)sqrt(r+tx^(a+1))]dx, (t not=0, a not=-1). (See attachment)

Fibonacci sequence in closed form

Prove that Fn can be expressed by: Fn=[(a^n-b^n)/(a-b)] for n=1,2,3... ~: Set Gn=[(a^n-b^n)/(a-b)] and show that Gn satisfies the recurrence formula {G(n+1) = Gn + G(n-1) for n=2,3,4...} and don't forget that a and b satisfy the equation x^2-x-1=0. a and b are the roots of x^2-x-1=0, which are (1+sqrt5)/2 and (1-sqrt5)/2 ...continues