A. Area is the Integral of (sin(pi*X)-(X^3-4X)) from 0 to 2 which should equal 4.
B. The horizontal line y=-2 intersects the graph of X^3-4X at the points .539 and 1.675. The area is going to be the Integral of (sin(pi*X)-(X^3-4X)) from .539 to 1.675
C. Volume= the integral of (sin(pi*X)-(X^3-4X))^2 from 0 to 2 because the height is proportional to the width of the base. this should equal 9.978
find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3,y=1, and x=2 about the x-axis using the disk method. 9 express the answer in terms of pie) i got the answer to be 3/5 pie but im not sure
let R be the region bounded by the graphs of y = sin(pie times x) and y = x^3 - 4. a) find the area of R b) the horizontal line y = -2 splits the region R into parts. write but do not evaluate an integral expression for the area
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = sin x, y = 0, x = 0 I just need help setting up the formula. So far I got V= the integral from 0 to pi of
1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=-6, and y=7.
The motion of a particle is described by x = 10 sin (piet +pie/2 ). At what time ( in second ) is the potential energy equal to the kinetic energy ? here is what i have done so far where am i going wrong V=pie10cos(piet + pie/3)
Choose the two options which are true for all values of x 1) cos (x) = cos ( x – pie/2) 2) sin (x + pie/2) = cos (x – pie/2) 3) cos (x) = sin (x – pie/2) 4) sin (x) = sin (x + 4pie) 5) sin (x) = cos (x – pie/2) 6) sin^2
Let R be the region bounded by the graphs of y=sin(pi x) and y=(x^3)-4x, as shown in the figure above. (a) Find the area of R. (b) The horizontal line y=-2, x=2, x=-1. Write, but do not evaluate, an integral expression for the
Consider the graphs of y = 3x + c and y^2 = 6x, where c is a real constant. a. Determine all values of c for which the graphs intersect in two distinct points. b. suppose c = -3/2. Find the area of the region enclosed by the two