1 What is the instantaneous rate of change of Y at x = 2? O -1 none of these -1 1 3 4

Q: 1 What is the instantaneous rate of change of Y= at x = 2? - o-1 4 O none of these -1 -1

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Q: 6+ f(x) 4 3 2- -1 i 2 3 4 5 6 The average rate of change of ƒ from 0 to 2

A: The average rate of change = (Change in output)/(Change in Input) So, from the graph,

Q: 1. The population of a town grows at the rate proportional to population present at any time t. The…

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Q: What is the rate equation for exponential growth and decay? dx %3D kxt a. dt b. dt b dz = kt dx C.…

A: Given, the rate equation for exponential growth anddecayThe exponential growth is an increasing…

Q: 1. SUPPOSE y varies at a constant rate of change of -0.3 with respect to x. Śuppose also that when…

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Q: (a) Suppose a stone is dropped from a height of 200 ft. Its position at time tis s(t)=-12t? +200…

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Q: Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of…

A: This question is related to application of derivatives.

Q: 1. A honeybee population starts with 100 bees and increases at a rate of f'(t) bees per week. What…

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Q: S(2) = 32+-4 ant line to f(2) (ak.a, the average rate of change of ) from input val

A: Please refer to the image below

Q: a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the…

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Q: 7. A yeast culture at room temperature (68°F) is placed in a refrigerator maintaining a constant…

A: Given,           A yeast culture at room temperature 68°°F is placed in a refrigerator…

Q: The number of yeast cells in a laboratory culture increases initially but levels off eventually. The…

A: Let's find.

Q: 4. The population of Florida (in millions) in recent years can be approximated by p(x)%3=…

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Q: dx 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: d. In which direction is the instantaneous rate of change the maximum from (1,0)? What is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: yeast culture is taken from a lab at room temperature and places in a refrigerator set at a constant…

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Q: 3. The point P(x, y) is moving along the curve y = x? -"x 10 +5x in such a way that the rate of…

A: Given: The point Px,y is moving along the curve y=x2-103x32+5x is such a way that the rate of change…

Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per…

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Q: If h (x) = x³ + 4æ² – 12x + 7 on the interval [-2, 4]: For what value(s) of C does h' (c) equal the…

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Q: 10 If w'(t) is the rate of growth of a child in pounds per year, what does w'(t) dt represent? O The…

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Q: (6) Find the direction and magnitude of the greatest rate of change of T at (3 -) 2)

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Q: 70. If r'(t) represents the rate of growth of a dog in pounds per year, what does r(t) represent?…

A: r(t) is the weight of the dog after t years.

Q: If f(x) = 5x-3 Compute the instantaneous rate of change of f(x) at x = 2. OA.7/41 Ов. -3/49 Oc. 1/5…

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Q: Estimate the instantaneous rate of change of P(t)=3t^2− 6 at the point: t =

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Q: 11. What is the instantaneous rate of change of f (x) = at x = 2? %3D %3D Sown ight ore the low ng…

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Q: 2. Find the instantaneous rate of change for y= arctan- at x = 3. 2 12 A. 85 2 В. 13 3n D. 4 С. О

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Q: Suppose x and y are functions of third variable t. In the equation *+y=45, what are the values dr of…

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Q: 4) A culture initially has Po number of bacteria. At t = 1 the number of bacteria is measured to be…

A: Given that initially, number of bacteria present in the culture is P0 At t=1, number of…

Q: A particle moves along a straight line and its position from a reference fixed point O is given by…

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Q: 10. A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm…

A: Rate of change of height = 5 cm/s Volume, V = πr2h Radius, r = 3

Q: (4) The temperature at a point (x, y) is given by T(x, y) = xy + x². (a) (2, –1)? What is the rate…

A: (1) The rate of change in temperature can be determined by finding the gradient,…

Q: Find the maximum rate of change of f(s,t)= te^{st} at the point (0,5).

A: In this question we have to find the maximum rate of change.

Q: With U.S. Census Bureau data (actual and projected) for selected years from 1960 to 2050, the rate…

A: Find the second derivative of P

Q: Consider a function y = 1 / x a) Find the rate of instantaneous change of y with respect to x at x…

A: a) y = 1 / x dy / dx = - 1 / x2

Q: As x increases, what happens to the instantaneous rate of change at (x,f(x)) for y-log(x) Z 13 4 5 6…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: What is the instantaneous rate of change of the secant function at ? O 2√3 02 0²/0 113 O 03/13 28

A: Solution

Q: 18. Estimate the instantancous rate of change of the function f(x) = x' +4x - 11x-30 at x = 1. Round…

A: Given,  f(x)=x3+4x2-11x-30, x=1

Q: What does r'(t)dt represent if r'(t) is the rate of growth of a dog in pounds for the t year?

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Q: 70. If r'(1) represents the rate of growth of a dog in_pounds per year, what does r(t) represent?…

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Q: 2. A rectangular water tank is being filled at the constant rate of 35lt/s. The base of the tank has…

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Q: A culture initially has P0 number of bacteria. At t=3 hour the number of bacteria is measured to be…

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Q: Two substances, A and B, are being converted into a single compound C. In the laboratory it has been…

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Q: 7. A radioactive material, Whatsuppium (Wu) decays according to the equation W (t) = 120(1.21)-t/5,…

A: W=120(1.21)-t/5

Q: (a) The rate of change of P is proportional to N. When t = 0, N = 250, and when t = 1, N = 400. What…

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Q: The cost of producing x units of a certain commodity is c(x) = 1000 + 5.70x + 7x2. What is the…

A: Let's find.

Q: A radioactive material, such as one of the thorium isotopes, thorium-234, decays at a rate…

A: We will find the rate of decay as following.

Q: Suppose x and y are functions of third variable t. In the equation x2+y2=45, what are the values of…

A:

Q: A culture initially has Po number of bacteria. At t = 2hour the number of bacteria is measured to be…

A:

Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

A: Given