What is 1/10
If dy/dx = ex/y2 and y(0)=1 find an equation for y in terms of x.
Cars A and B leave a town at the same time. Car A heads due south at a rate of 80 kilometers per hour and car B heads due west at a rate of 60 kilometers per hour. How fast is the distance between the cars increasing after three hours?
What's fl(x) if f(x) = x12+x3+5
What is 12x11+3x2
dy/dx = -4xy2 and y(0)=1 find the equation for y in terms of x.
What is y = 1/2x2+1
Approximate the area under the curve y=x3+4 from x=0 to x=8 using n=4 trapezoids
What is 1,120
What is 2,000 square feet per second
Find dy/dx if y = cos2(x2)
What is -4xcos(x2)sin(x2)
If dy/dx = y2/x3 and y(1)=2 find an equation for y in terms of x.
What is y=2x2
What is -cos4(3x) / 12 + C
The minute hand of a clock is 6 inches long. Starting from noon, how fast is the area of the sector swept out by the minute hand increasing in square inches per minute at any instant?
Find yl.
x2 + 2y3 = x3 - 4y2
What is 3x2 -2x/ 6y2-8y
If dy/dx = sinx/cosy and y(0)=3pi/2 find an equation for y in terms of x.
What is sin-1(-cosx)
What is -sin(1/x) + C
DOUBLE JEOPARDY!!!!!
An inverted conical container has a diameter of 42 inches and a depth of 15 inches. If water is flowing out of the vertex of the container at a rate of 35pi cubic inches per second, how fast is the depth of the water dropping when the height is 5 inches?
What is -5/7 inches per second
What is Does Not Exist
Polonium-210 has a half-life of 140 days. It decays exponentially, where rate of decay is proportional to the amount of time t. If we start with 100 grams, how much will remain after 10 weeks?
What is 71 grams
A 6-foot-tall woman is walking at the rate of 4 feet per second away from ma street lamp that is 24 feet tall. How fast is the length of her shadow changing?