Скачать или смотреть Thomas calculus exercise 3.8 Q11 to Q15 | Related rates problems urdu hindi || Lec 69

In this lecture, we will solve Question 11, Question 12, Question 13, Question 14, and Question 15 of chapter 3 exercise 3.8 thomas calculus 14th edition.

If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at what rate does the cube’s
a. surface area change?
b. volume change?
A cube’s surface area increases at the rate of 72 in^2/sec. At what rate is the cube’s volume changing when the edge length is x = 3 in?
Volume: The radius r and height h of a right circular cylinder are related to the cylinder's volume V by the formula V = pi r^2 h.
a. How is dV/dt related to dh/dt if r is constant?
b. How is dV/dt related to dr/dt if h is constant?
c. How is dV/dt related to dr/dt and dh/dt if neither r nor h is constant?
Volume: The radius r and height h of a right circular cone are related to the cone's volume V by the equation V = (1/3)pi r^2 h.
a. How is dV/dt related to dh/dt if r is constant?
b. How is dV/dt related to dr/dt if h is constant?
c. How is dV/dt related to dr/dt and dh/dt if neither r nor h is constant?
Changing voltage: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the one shown here are related by the equation V = IR. Suppose that V is increasing at the rate of 1 volt/sec while I is decreasing at the rate of 1/3 amp/sec. Let t denote time in seconds.
a. What is the value of dV/dt?
b. What is the value of dI/dt?
c. What equation relates dR/dt to dV/dt and dI/dt?
d. Find the rate at which R is changing when V = 12 volts and I = 2 amps. Is R increasing, or decreasing?
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Thomas Calculus Exercise 3.8 Question #1 to 5 solution| Related Rates
Thomas Calculus Exercise 3.8 Question #6 to 10 solution| Related Rates
Thomas Calculus Exercise 3.8 Question #11 to 14 solution| Area and Volume
Thomas Calculus Exercise 3.8 Question #15 to 17 solution| Changing voltage
Thomas Calculus Exercise 3.8 Question #18 to 20 solution| Diagonals and Area
Thomas Calculus Exercise 3.8 Question #21 to 23 solution| A Sliding ladder
Thomas Calculus Exercise 3.8 Question #24 to 26 solution|Commercial Air Traffic
Thomas Calculus Exercise 3.8 Question #27 to 28 solution| A growing sand pile
Thomas Calculus Exercise 3.8 Question #29 to 30 solution| A Growing Raindrop
Thomas Calculus Exercise 3.8 Question #31 to 32 solution| Hauling in a Dinghy
Thomas Calculus Exercise 3.8 Question #33 to 35 solution| A Balloon and a Bicycle and Making coffee
Thomas Calculus Exercise 3.8 Question #36 to 38 solution| Moving along Parabola and Videotaping Car
Thomas Calculus Exercise 3.8 Question #39 & 40 solution| A Moving Shadow and A Building"s Shadow
Thomas Calculus Exercise 3.8 Question #41 & 42 solution| A Melting ice layer & Highway patrol
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