Related Rates

Water slowly evaporates from a circular shaped puddle. The area of the puddle decreases at a rate of $36\pi\ \frac{in^2}{hr}$ . Assuming the puddle retains its circular shape, at what rate is the radius of the puddle changing when the radius is 5 in?

•  $\frac{-\frac{18}{5}in}{hr}$  

•  $\frac{-\frac{17}{5}in}{hr}$  

•  $-18\ \frac{in}{hr}$  

•  $-3\ \frac{in}{hr}$  

Tags

CCSS.HSG.GMD.A.1

A hypothetical cube grows at a rate of  $64\ \frac{m^3}{\min}$ . How fast are the sides of the cube increasing when the sides are 8 m?

•  $\frac{\frac{2}{3}m}{\min}$  

•  $\frac{1m}{\min}$  

•  $\frac{\frac{1}{3}m}{\min}$  

•  $\frac{\frac{7}{3}m}{\min}$  

Tags

CCSS.HSA.SSE.A.1

A spherical snowball is rolled in fresh snow, causing it to grow so that its radius increases at a rate of 2 in/sec. How fast is the volume of the snowball increasing when the radius is 2 in?

• $42\pi\ \frac{in^3}{\sec}$

• $39\pi\frac{in^3}{\sec}$

• $22\pi\ \frac{in^3}{\sec}$

• $32\pi\frac{in^3}{\sec}$

Tags

CCSS.HSG.GMD.A.3

Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 3 cm/min. How fast is the area of the pool increasing when the radius is 12 cm?

• $76\pi\ \frac{cm^2}{\min}$

• $72\pi\frac{cm^2}{\min}$

• $77\pi\frac{cm^2}{\min}$

• $62\pi\frac{cm^2}{\min}$

Tags

CCSS.HSA.SSE.A.1

CCSS.HSG.GMD.A.1

Rachel is standing atop a 13 ft ladder. The ladder is leaning against a vertical wall. The ladder starts sliding away from the wall at a rate of 3 ft/sec. How fast is the ladder sliding down the wall when the tip of the ladder is 5 ft high?

• 3 ft/sec

• 7.2 ft/sec

• -12 ft/sec

• -7.2 ft/sec

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.C.8

Who is the singer who wrote the lyrics written on the board?

(a)  

Tags

CCSS.RL.2.6

CCSS.RL.8.3

The phrase that best describes Brief Calculus is...

• A slow start to a long day

• A bit perplexing

• A challenge I would avoid

• The best class ever!

What color is the sky?

• Purple

• Grey

• Red

• Whatever color it is at the time.

Tags

CCSS.RI.2.1

CCSS.RI.3.1

CCSS.RL.1.1

CCSS.RL.2.1

CCSS.RL.3.1

What is Mrs. Malmos' favorite season of the year?

• Summer

• Autumn

• Winter

• Spring

Tags

CCSS.RL.11-12.3

CCSS.RL.6.6

CCSS.RL.7.6

CCSS.RL.8.6

CCSS.RL.9-10.3

How many dogs does Mrs. Malmos have?

(a)  

Tags

CCSS.K.CC.B.4

CCSS.K.CC.B.5