Question 14 An engineer is experimenting with a cylindrical can with a fixed height of 15 inches Find the rate of change of volume with respect to radius when the diameter is 8 inches. O A. 120 cubic inches per inch O B. 120m cubic inches per inch OC. 20n cubic inches per inch OD. 12 n cubic inches per inch

Q: QUESTION 1 The radius of semicircle is increasing at the rate of 0.8 cm/s, calculate the rate of…

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Q: QUESTION B11 A vase with a circular cross-section is shown in Figure 1. Water is flowing into the…

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Q: on a tree farm and the number of years since the trees were plante What is the rate of change of the…

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Q: Question 4 Liquid is pouring into a vat. After t hours there are A = 5t – Vt litres in the vat. %3D…

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Q: QUESTION 6 A ladder 10 m long leans against a wall in a building. When the lower end of the ladder…

A: A ladder 10m long leans against a wall in a building.when the lower end of the ladder is pulled away…

Q: Question 1. Find the average rate of change of the function f(x) = x² – 5 on the interval [2, 2 +…

A: WE HAVE TO FIND THE AVERAGE RATE OF CHANGE OF A FUNCTION   given function is f(x)=x2-5   Given…

Q: QUESTION 1 The radius r of a right circular cylinder with a fixed height of 48 inches is increasing.…

A: We have to find dV/dr

Q: QUESTION 8 A ball is dropped from the top of a tall building, 100 meters above the ground. At timet…

A: Given the velocity function v(t) = 9.8 t

Q: 21: Fimd the rate of change of volume at t= 2 Sec if ri= 2t-1 hi=3-t r2= 3++1 hz=2m

A: we are given that  r1 = 2t-1 h1= 3t2 -t r2= 3t +1 h2 = 4t3-1 We know that the volume of a cylinder…

Q: 1. A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the…

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Q: Question 14 > Given f(x) = 1 find the average rate of change of f(x) on the interval [10, 10 + h]. x…

A: We are asked to average rate of change.

Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t) = 12 - 6t, where…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Question 24 A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a…

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Q: Example A light is on the top of a 12 ft tall pole and a Sft 6in tall person is walking away from…

A: Consider the provided question, The pole and the person are shown in the figure below;

Q: Question: 3 The volume of a cube is increasing at a rate of 15cm/min. At what rate the side of the…

A: We know that volume of cube is (side)3. That is V=x3, where x is side of a cube. Differentiate V…

Q: If the radius of a circle increases at the rate of 0.01 inch/sec, find the rate of change of the…

A: We have to find the rate of change of area when the radius is 3 inches and when the radius increases…

Q: Problem 7: If water is being drained from a swimming pool and V liters is the volume of water in the…

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Q: QUESTION 14 A ball is thrown vertically upwards with a velocity of 48 f/s from the top of a building…

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Q: QUESTION 5 Figure 1 shows a right triangle with base 6 cm. If x is decreasing at the rate of 2 cm/s,…

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Q: QUESTION 1 Find the rate of change of the area of a square (Area is A = s if the sides are 14 cm…

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Q: Problem 5: The volume V of a cube with edge length s cm is V = s cm. (a) Find the average rate of…

A: The average rate of change of function f over the interval a≤x≤b is obtained as Average rate  of…

Q: One side of a triangle is increasing at a rate of 6 cm/s and a second side is decreasing at a rate…

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Q: Question #5 C11: "Related Rates." A man starts walking south at 5 ft/s from a point P. Thirty minute…

A: Man moves at 5ft /sec along S direction. Woman moves 4ft/sec along N direction.

Q: QUESTION 1 You want to spray a fertilrer at 425 L/ha at a ground speed of 6 km/t, using regular flat…

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Q: Question 9 A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of…

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Q: Problem 3. Water runs into a conical tank at the rate of 9 ft3 /min. The tank stands point down and…

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Q: Solve the following related rates problems. 4. The radius of a circle is increasing at the rate of…

A: We have to find the rate of change of area of circle where radius of a circle is increasing at the…

Q: QUESTION 9 If the radius of a circle decreases at a rate of 3 ft/s, what can you say about the rate…

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Q: Problem 2. The total surface area of a right circular cylinder is given by the formula A = 2Tr(r+h)…

A: Here, the surface area of the right circular cone is given by: A=2πr(r+h)...(1) where r is the…

Q: If f is the focal length of a convex lens and an object is placed at a distance p from the lens,…

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

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Q: Problem 04: A rock is dropped from a height of 882 feet and falls toward Earth in a straight line.…

A: Given: A rock is dropped from a height of 882 feet and falls towards Earth in a straight line. In t…

Q: QUESTION 21 A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a…

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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: QUESTION 5 A spherical balloon is being inflated at a rate of 8cm3/s. Find the rate of change of the…

A: Explained below

Q: Question 19 the radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At…

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Q: QUESTION 4 The average rate of change of a function over an interval is the same as the…

A: The average rate of change is defined as ravg=fb-fab-aover same interval a,b

Q: Question 12 : A spherical snowball is melting in such a way that its diameter is decreasing at rate…

A: We know the volume of a sphere is V=43πr3, where r is the radius. Given that,  Diameter, d=18 cm…

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

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Q: QUESTION 1 It is given that the radius of the semicircle increases at the rate of 0.5 cms¹ when…

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Q: Problem 6. A cylindrical container with a diameter of 3 meters is being filled with water. The water…

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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: 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: Question 2 Sand is being dropped into a conical pile in such a way that the base radius of the pile…

A: Let's find.

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 12 A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a…

A: Taking upward direction is positive; u=48ft/s.

Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t): = 12 - 6t, where…

A: Solution :

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: Rate of Equation formed from the Newton's Law of Cooling ?

A: I am attaching image so that you understand each and every step.

Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…