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A spherical balloon is inflating with helium at a rate of 641 it? min How fast...
A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 2 ft/min. What is the rate in the change of area at the instant that the radius is 23 ft? Write an equation relating the area of a circle, A, and the radius of the circle, r. (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dA dr dt dt (Type an exact...
A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft 3/min. How fast is the radius of the balloon increasing when the radius is 1 ft?
A spherical balloon is inflated with gas at a rate of 900 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 40 centimeters and r = 75 centimeters. r = 40 cm/min r = 75 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. The rate of change of the radius is a linear relationship whose slope is dV dt...
question 2 in two parts Incorrect Question 2 0/1 pts The first question in this problem is "How fast is the radius of the balloon changing at the instant the balloon's diameter (dis 12 inches?" Which of these sketches best records the known and unknown quantities that are relevant to this question? dr/dt? d=12 dv/dt=20 r=6 d=12 dv/dt=20 =6 dr/dt=20 d=12 r=6 dr/dt=20 dv/dt = ? d=12 Incorrect Question 3 0/1 pts Part b of Preview Activity 3.5.1 reads: "Recall...
Lueslon Help Apiston is seated at the top of a cylindrical chamber with radius 2 cm when it starts moving into the chamber at a constant speed of 5 cms (see figure) What is the rate of change of the volume of the cyinder when the piston is 18 om from the base of the chamber? 2 m Piton Let V.r and h be the volume, radius and height of a eylinder, respectively Write an equation relating V, , and...
the volume v=4/3πr3 of a spherical balloon changes with the radiusa) at what rate (ft3/ft) does the volume change with respect to the radius when r=2ft?(type an exact answer in terms of π)b)using the rate from part a, by approximately how much does the volume increase when the radius changes from 2 to 2.4ft?
A spherical balloon is inflated with gas at a rate of 6 (???) 3 per minute. How fast does the radius of the balloon grow the instant the radius reaches 5 cm? Step1 Identify known and unknown data Step 2 Write an equation that relates the known and unknown variables Step 3 Implicitly derive Step 4 Substitute and interpret the answer 10) Un balón esférico es inflado con gas a razón de 6 (cms) por minuto Cuan rápido el radio...
please type up a clear explination for how to do these and explain what the unit circle is. hw due at 12 tonight. thank you! Graph the function. y 3 tan (2x-x) Choose the correct graph of y 3 tan (2x-x). O A. OB. O C. t/2 A 6- /2 4y 6- 6- 3/4 3s/4 /4 5/4 g/4 5x/4 Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. tan 8 tan...