# Calculus

Find the centroid of the area bounded by the parabola y = 4 - x^2 and the x-axis.

A. (0,1.6)
B. (0,1.7)
C. (0,1.8)
D. (0,1.9)

Find the average value of the function i=15(1-3^-1/2t) from t=0 to t=4.

A. 7.5(1+e^-2)
B. 7.5(2+e^-2)
C. 7.5(2-e^-2)
D. 7.5(3-e^-2)

1. 👍 0
2. 👎 0
3. 👁 244
1. I get (A)

Assuming the typo 3 means e, I get (B)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra

The vertex of a parabola represented by f(x)=x^2-4x+3 has coordinates of (2,-1). Find the coordinates of the vertex of the parabola defined by g(x)=f(x-2). Explain how you arrived to your answer. My question: Would you move the

asked by Anon on May 2, 2016
2. ### Maths

find the area of the region bounded by the parabola y^2= 16x and its latus rectum

asked by Tony on November 15, 2014
3. ### calculus

Find the centroid (¯ x, ¯ y) of the region bounded by: y = 6x^2+7x, y = 0, x = 0, and x = 7

asked by maggie on March 12, 2017
4. ### calculus 2

Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (1, 3), and the x-axis.

asked by TayB on January 22, 2016

1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate,

asked by Danni on March 22, 2017

Find the centroid of the area bounded by the parabola y=4-x^2 and the x-axis A.(0,1.6) B.(0,1.7) C.(0,1.8) D.(0,1.9)

asked by Tracy on November 22, 2011
2. ### Calculus: Centers of Mass

Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 2x, and the line x + y = 4. I've graphed the function, and it looks like a triangle with one side curved (the parabola). I'm not quite

asked by Anonymous on November 17, 2016
3. ### calculous

Find the area of the region bounded by the parabola y = 4x^2, the tangent line to this parabola at (4, 64), and the x-axis.

asked by Ryan on November 9, 2011
4. ### Calculus

Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9. -------------- Is this basically 1/4 of an oval/ellipse? If so then the area would be: pi*9*3, correct? So the X coordinate would equal: 1/Area * Integral from

asked by COFFEE on June 17, 2007
5. ### math

The base of a solid is the region bounded by the parabola x^2 = 8y and y=4. Each cross section perpendicular to the y-axis is an equilateral triangle. Find the volume.

asked by dee on March 12, 2016
6. ### Math

An area is bounded by the x-axis and the parabola y = 16 - x^2. Use four rectangles of equal width and the midpoint approximation method to estimate the bounded area. Could you please show me how to work out this problem? Thanks!

asked by Johnny on May 21, 2016