I've reached my limit
Gotta deriv to thrive!
Radicular for particular!
Can't spell "integrate" without ATE
All hate for related rates
100

If dy/dx = ex/y2 and y(0)=1 find an equation for y in terms of x.

100

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 is 100 kilometers per hour
200

What's fl(x) if f(x) = x12+x3+5 

What is 12x11+3x2

200

dy/dx = -4xy2 and y(0)=1 find the equation for y in terms of x.

What is y = 1/2x2+1

200

Approximate the area under the curve y=x3+4 from x=0 to x=8 using n=4 trapezoids

What is 1,120

200
Oil spilled from a tanker spreads in a circle whose circumference increases at a of 40 feet per second. How fast is the area of the spill incerasing when the circumference of the circle is 100pi feet.

What is 2,000 square feet per second

300

Find dy/dx if y = cos2(x2)

What is -4xcos(x2)sin(x2)

300

If dy/dx = y2/x3 and y(1)=2 find an equation for y in terms of x.

What is y=2x2

300

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?

What is 3pi/5 square inches per minute
400

 Find yl.

x+ 2y3 = x- 4y2

What is 3x2 -2x/ 6y2-8y

400

If dy/dx = sinx/cosy and y(0)=3pi/2 find an equation for y in terms of x.

What is sin-1(-cosx)

400

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

500

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

500

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?

What is 4/3 feet per second
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