Question 19 the radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area s becomes 100t square inches, what is the rate of increase, in cubic inches per second, in the volume V? A 25T B 10T 22.5T D 30T E 12 T

Q: Question: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away…

A: Let the girl is at A and the kite is at B. The length between A and B is 300 ft . Now the wind is…

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70…

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Q: Question 13) A house attic that is triangular shape has a W= 12 ft and H =4 ft and depth of 25 ft.…

A: Consider the given information. Now, first the calculate CFM ( Cubic feet minute).  CFM=60 ft312…

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Q: 2) A triangle has a height that is increasing at a rate of 2 cm/sec and its area is increasing at a…

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Q: 1. A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area…

A: Given that: Rate of decrease of area = 0.5 m2/s

Q: Question 3 How much work is required to pump all the water from a right circular cylindrical tank,…

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Q: can you please answer this question and show all of the steps and say the correct letter

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Q: Question 20 A ball is propelled straight up with an initial velocity of 250 feet/sec in a vacuum…

A: Given, intial velocity of ball=250 feet/sec

Q: QUESTION #4 EFFECT OF BACTERICIDE The number of bacteria certain culturet min after an experimental…

A: Introduction: Let us suppose that f(x) is the function of variable x, then the rate of change of…

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Q: QUESTION 20 The velocity function below corresponds to the motion of a particle. If the velocity is…

A: Solution is given below:

Q: 2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a…

A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: Question 3 a. . Newton's law of cooling is given by 0 = 0,e", where the excess of temperature at…

A: "Since you have sent 4 different questions therefore according to our guidelines we are bound to…

Q: Question 4 A microbial population's mass grows in such a way that its rate of growth r(t) = m'(t)…

A: The given question can be solved as shown in step 2.

Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as…

A: Let's find.

Q: Two sides of a triangle measure 15 m and 20 m. When the included angle is 60°, it increases at the…

A: Two sides of a triangle measure 15 m and 20 m. When the included angle is 60°, it increases at the…

Q: A triangle with area A = bh is expanding with time such that the length of the base, b(t) = t? + 2,…

A: Take the derivative of area function (A) with respect to time and calculate it.

Q: Shadow Length A man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15…

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Q: Question 3 With the given equation y = x- + 1_ Find the instantaneous rate of change of y with…

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Q: dh 2 cm/sec and an area that is = 4 cm² /sec. Find the rate at which the base of the triangle is…

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Q: Question 6 A car has acceleration given by a(t) = -8e0.24 m/s² and initial velocity 15 m/s. %3D (a)…

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Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as…

A: Solution...

Q: Question 6 The area of a square is increasing at a constant rate of 1 cm2/sec. How fast is the…

A:

Q: A rectangular water tank (see figure below) is being filled at the constant rate of 20 liters /…

A: To find: The rate of change of height. Given: The rate of change of volume is 20 liter per second.…

Q: Question 8 9 10 456 Number of trips PART A: What is the rate of change? kilometers per trip PART B:…

A: The given graph is:

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

A: Solution is given below:

Q: 1. A rectangular water tank (see figure below) is being filled at the constant rate of 20 liters /…

A: The volume of the water tank is given by                                               V=…

Q: 1. Peter is inflating a spherical balloon at a rate of 4.5 cubic feet per minute. Find the rate of…

A: To find the rate of change of radius.

Q: Question 1 A circular pipe with a 5.6 in diameter is conducting air at 12,500 A standard day at 6.5…

A:

Q: Question 2 A balloon is rising vertically over a point A on the ground at the rate of 15 feet per…

A: Using differentiation

Q: I have no idea how to do implicit differentiation

A: Introduction:Denote the length of side of the cube as x.Denote the volume of the cube as V.Denote…

Q: Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of…

A:

Q: 12. A snowball melts in such a way that the rate of change in its volume is proportional to its…

A: Let us find the required time for the snow ball to disappear in the the following steps.

Q: Two sides of a triangle measure 15 m and 20 m. When the included angle is 60°, it increases at the…

A: Recall the following. If a, b are the adjacent sides of a triangle with C its included angle, then…

Q: The sides of a square increase in length at a rate of 3 m/sec. a. At what rate is the area of the…

A: Let  l be the length of the square.The area of the square is A=l^2 .The rate of change in length = 3…

Q: d. Suppose that the cylindrical tank in the accompanying figure is filled to a depth of 4 feet at…

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Q: QUESTION 1 A group of researchers conduct a study about frost penetration in country X and come out…

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Q: Question 4 The radius r of a right circular cylinder with a fixed height of 48 inches is increasing.…

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Q: ! d. Suppose that the cylindrical tank in the accompanying figure is filled to a depth of 4 feet at…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: V=4πr3/3 dr/dt = 0.1 cm/min dV/dt =?   dV/dt = 4πr2(dr/dt)   dV/dt = 4(3.14)(9)2(0.1) dV/dt = 101.73…

Q: Problem 2. You are pumping air into a spherical balloon at a constant rate of 5 cm' /s. Recall that…

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Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50…

A: Find the rate at which area increasing after t seconds

Q: Question 20 The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36 T in3 /…

A:

Q: QUESTION 16 The radius rof a right circular cylinder with a fixed height of 48 inches is increasing.…

A: It is given that a radius and height of a cylinder are 3 feet and 48 inches respectively.

Q: QUESTION 2 The height, h, of a cylinder is two times its radius, r. If the radius of the cylinder is…

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Q: QUESTION 5 A rectangular box has a height of S, the length is twice the height, and the width is 6…

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Q: mg U = k E (1 -e ktlm). At what rate is the velocity is changing at time 0? At t = 6? What do your…

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Q: Question 6 A car has acceleration given by a(t) = –8e0:2t m/s? and initial velocity 15 m/s. (a) How…

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