Recent Homework Questions About Calculus
Monday, November 18, 2013 at 11:22pm
We need the whole area to be twice the area under the line y=b. y(1/2) = 1 y(√b/2) = b So, integrating along x, we need ∫[0,1/2] 1-4x^2 dx = 2∫[0,√b/2] b-4x^2 dx Now just evaluate the integrals and solve the polynomial for b.
Monday, November 18, 2013 at 8:45pm
Write it as f(x) = 7x^-2 - 6x^-6 F(x)= -7x^-1 + (6/5)x^-5 + c F(2) = -7/2 + (6/5)/2^5 + c = ......
Monday, November 18, 2013 at 8:16pm
let the side of the square be x let the side of the triangle be y 4x + 3y = 40 x = (40-3y)/4 height of triangle from the 30-60-90 triangle ratio = √3/2 y area of triangle = (1/2)(y)(√3/2 y) = (√3/4)y^2 area of square = [(40-3y)/4]^2 = (1600 - 240y + 9y^2)/16...
Monday, November 18, 2013 at 8:08pm
A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus, the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 25 ft, find the dimensions of the window so that the greatest possible amount of light is ...
Monday, November 18, 2013 at 8:07pm
The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 386 square centimeters, find the dimensions of the poster with the smallest area.
Monday, November 18, 2013 at 8:06pm
10x−6y√(x^2+1)dy/dx=0 6y√(x^2+1) dy/dx = 10x 6y dy = 10x/√(x^2+1) dx 3y^2 = 10√(x^2+1) + c Since y(0) = 4, 3*16 = 10+c c = 38 now you have it.
Monday, November 18, 2013 at 1:55pm
I did plot the curve on Wolfram and got full curve across 3pi. Curve length is also shown full at 3pi but period is shown as 6pi.I can't understand this.
Monday, November 18, 2013 at 12:18am
f is a function from R to R such that f(a) is rational when a is irrational and f(a) is irrational when a is rational . prove that f cannot be continuous
Sunday, November 17, 2013 at 6:52pm
since the curve is a parabola, there is no inflection point. Since #1 #2 do not provide any useful data, the other items are hard to figure.
Sunday, November 17, 2013 at 5:27pm
thanks...though I asked for (-3,-1).
Sunday, November 17, 2013 at 2:31am