Calculus Answers

Consider the sequence 1, 6, 11, 16, 21, 26
A) Find the next term
B) Find the 50th term
C) Find the formula for the general or nth term

Evalute
∫(x-2)/(x²-6x+10) dx

Show that
∫ₐb (lnx)/(x) = (1/2)ln ab ln(a/b)
please very urgent

If the price in dollars of stereo system is given by p(q)= 1000/q^2 + 1000

Find the angle of intersection between the curves x^2+2xy-y^2+2ax =0 and 3y^3-2a^2x-4a2y+a^3=0 at the point (a,-a).Please solve it is very urgent

Find the length of the curve ,
2y^2 = x^3 from the vertex (0,0) to the point (4,4√2) .Please solve it is very urgent

Find the surface area of the solid formed by the rotation of an arc of the cycloid
x=a(theta + sin theta), y=a(1+cos theta) about the axis of x . Please

Let a function f be defined as
f(x) = a^2x if x>1 and 5ax - 4 ,if x≤1
Determine the value(s) of 'a' if any, for which f is continuous over R.

Evaluate the integral
√(1+√x)

Say true or false
The graph of the function , y = x+|x| for all x € Q is strictly increasing .