Recent content by togo

how would you tell the difference? (sin/arcsin)

Find the derivative of function with respect to x y = sin^-1 (x-1/x+1) Steps I took: = sin(x-1/x+1)^-1 u = sin(x-1/x+1) u' = cos u * u' u = x-1/x+1 u' = t'b - tb'/b^2 t = x-1 b = x+1 t' = 1 b' = 1 b^2 = (x+1)(x+1) = x^2+2x+1 u' = (1)(x+1) - (x-1)(1)/x^2+2x+1 u' = x+1-x-1 /...

Problem with derivative accidental post.

any suggestions?

which formula would that be?

Homework Statement 25-2-EX9 The time rate of change of the displacement (velocity) of a robot arm is ds/dt = 8t/(t^2 + 4)^2. Find the expression for the displacement as a function of time if s = -1 m when t = 0 s. 26-5-9 Find the moment of inertia of a plate covering the first-quadrant region...

thanks for the tips how do you use latex

Formulas: Shell Method: dV = 2pi(radius) * (height) * (thickness) Disk method: dV = pi(radius)^2 * (thickness) Question 1 (26-3-15) Statement Using Shell method, find the volume generated by revolving the region bounded by the given curve about the x-axis. x = 4y - y^2 - 3, x = 0...

bounded region: y = 8, x = 0

Homework Statement Given the following curve: y = x^3 Use shell method and rotate around x-axis to determine the volume bounded region: y = 8, x = 0 Homework Equations 2pixyThe Attempt at a Solution x(x^3) = x^4 Integrate x^4 = 1/5 x^5 1/5(8)^5 = 6553.6 *2 = 13107.2 pi the answer should be...

Homework Statement Find the volume generated by revolving the regions bounded by the given curves about the x-axis. Use indicated method in each case. Question 11: y = x^3, y = 8, x = 0 Question 15: x = 4y - y^2 - 3, x = 0 Homework Equations for question 11: Shells for Question 15...

I guess that I am not sure how to do that. for example, ∫(2)dx = 2x + C but how does that apply here? the answer doesn't have any + in it.

x=0 to x=a but I forget how to integrate a constant (a)

R^2 and Y^2 end up being the same thing right?

k so the integral of 4ax would be (4/2)ax^2 right?