A stuntman estimates the time T, in seconds, for him to fall x meters, 15. is T(x) = 0.54Vx. Find the instantaneous rate of change of T with respect to x when x = %3D 9 meters.

Q: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt.…

A: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt.…

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 s xs 60) where x is the…

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Q: If a snowball melts so that its surface area decreases at a rate of 2 cm²/min, find the decreasing…

A: To find- Radius is decreasing at the rate of

Q: For the function y = x2 , find the instantaneous rate ofchange of y with respect to x when x = 3.

A: The instantaneous rate of change of y with respect to x is given by dy/dx

Q: Suppose there is no snow in a parking lot when snow begins to fall at midnight; From midnight until…

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Q: When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, c, in…

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Q: James is pumping air into a spherical balloon at a rate of : бст3 What is the rate of change of the…

A: Find the rate of change in the question by doing the derivative with respect to time after…

Q: A balloon is deflating at a constant rate of 12 cm3 per second. When the volume of the balloon is…

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Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

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Q: What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?

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Q: For the function y=x2,compute the average rate of change between x=9 and x=10

A: We have to find the average rate of change of function.

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

Q: The rate at which a radioactive chemical is delivered into cells is r(t) (measured in miligrams per…

A: NOTE: As method is not specified, question is solved for Riemann left end point approximation.

Q: What is the average rate of 5. If f (t) = -3t + 7t, describes the movement of a whale in meters.…

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Q: Find the instantaneous rate of change of 7. y = (x + 1)*(x – 3) at a = 1.

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Q: In the equation, x² +y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: to determine the instantaneous rate of change c Use f(x+0.0001)-f(x) 0.0001 f(x) = 5x² - 7x ata = 2,…

A:

Q: If f(x) = 3x + 2x + 6, find the instantaneous rate of change of f(x) at x = 1. -

A: Topic - applications of derivativea Instantaneous Rate of change of f(x) at x is given by slope of…

Q: The number of Bacteria at time t hours is N= 1000 30 + te а. What is the initial number of bacteria…

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Q: 3. fox =V X at X T6

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Q: What is the rate of change of y with respect to x for this function?

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Q: If f(x) = 12x2 - x', what is the rate of change of f'(x) at (2, 40)? %3D Need Help? Watch It

A: Rate of change of f'(x)

Q: 14. Find the rate of change of y= (2x' +6x +4) at x =-1.

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Q: Estimate the instantaneous rate of change of P(t) = 2t² – 6 at the point t = - 2 |

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Q: The number of bacteria in a culture is given by the function n(t)=960e0.4tn(t)=960e0.4t where tt is…

A: To find- relative rate of growth of this bacterium population

Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

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Q: The radius of a right circular cylinder is given by √(t + 2) and its height is 1/2√t, where t is…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Martin is inflating a balloon. For a balloon of radius r, the volume is V = 4/3pi(r)2. At the moment…

A: Given, Volume of balloon is V=43πr3 r is balloon radius in inches. To find, dVdt=? when r=6 inches.

Q: Estimate the instantaneous rate of change given the following: f(x) =5 at the point (-3, — 2/1) x+5…

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units, (40 < x< 60) where x is the…

A:

Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

Q: for the function f(x)= √2x+3, estimate the instantaneous rate of change at x=5. use h value of 0.01

A: The instantaneous rate of change of f at x = a is f'(a), if it exists,

Q: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

Q: If V(t) is the volume of water in a reservoir at time t (seconds), v(t) is the rate of change,  then…

A: Rate Change: Rate change is defined as the change in one quantity with respect to any other quantity…

Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

A: Answer is mentioned below

Q: ending from the surface. What is the best estimate of its instantaneous change in depth at t = 3 sec

A: In this question, the concept of the derivative is applied. Derivative A derivative is used to…

Q: The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is…

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Q: What is the average rate of change of the function k(x) = 5x– 11 over the interval -asrs? -22 Sx?

A: Dear students here I'm answering to this problem according to our company guidelines so, here I can…

Q: Find the average rate of change of g (x) = 3x – 2x from x=3 to x=7. Simplify your answer as much as…

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Q: What is the instantaneous rate of change of y=y=−2x^2+2x at x=0 ?

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Q: estimate the instantaneous rate of change at the point indicated. f (x) = e^x ; x = 0

A: To find the instantaneous rate of change at x=0 we need f'(0) So we find f'(x)

Q: For the functiony = (x2 + 2)(x3 − 4x),at(−2, 0)find the following.(a) the slope of the tangent…

A: y = (x2 + 2)(x3 − 4x) = x5 + 2x3 - 4x3 - 8x = x5 - 2x3 - 8x Recall famous law of differentiation:…

Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: The surface area of a cube with sides of length x is given by S = 6x2 . Find the rate of change of…

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Q: Use f(x+0.0001)-f(C) 0.0001 f(x)=52²-7x ata = 2, to the nearest tenth. to determine the…

A: Given function f(x)=5x2-7x

Q: The diameter of a sphere is 5(2x+ 5), the rate of change of its surface area with respect to x is

A: