f(x) = 15 + 6.25x If the 6.25 in the function is changed to 8.25, what does this mean?

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 8)…

A: It is given that, fx=x2, 0,8. Any point on the given curve will be in the form x,y=x,x2. Distance…

Q: Find the derivative.   g(x) = 4^x/x^4

A:

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: Find the second derivative of the function. f(x) = 4x3/2

A:

Q: Find the derivative of the function. f(x) = (2x³ – 8x?+ 7)1

A: topic - derivative of a function

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: We will find the limit  x→∞ of the ratio of the two functions.

Q: The concentration of salt x in a homemade soap maker is given as a function of time by

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Q: The math club is experiencing a growth in membership. On average, they are seeing a growth of 3%…

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Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: Find the higher-order derivative. f(4)(x) = (x² + 6)² f(6) (x) =

A: Finding the 6th derivative, given the fourth derivative.

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

A:

Q: The reciprocal function decreases on ______________

A: Answer: The reciprocal function function decreases on negative infinity

Q: Find the second derivative of the function. f (x) = 5(2 – 7x)*

A: Find the second derivative of the function

Q: Suppose and investment's value, V, can be tracked with the function v(t) = 932(1.005)120), www. ,…

A: Option D is correct answer. Detailed solution is given below.

Q: Find the average rate of change of f(x) = 3x2 - 5 from x1 = 6 to x2 = 10.

A:

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: fx=x2  &  gx=2x Concept used: Let fx & gx be positive for x sufficiently large. fx grows…

Q: Let f (x) = 5* – 7x - , for what value of root that the relative error would be equal or less than…

A: Given that f(x)=5x-7x2 The newton method formula is, xn+1=xn-f(xn)f'(xn) Take the derivative for f,…

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

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

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: Life expectancy at age 65:  By using the Social Security Administration data for selected year from…

A:

Q: How can the functions be multiplied by constants?

A: Multiplication of the function by a constant can be done by multiplying the output of the function…

Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

A:

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand…

A: We can find the derivative using chain rule as below

Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

A:

Q: calculate the derivative. f (x) = 4x5/3 − 3x−2 − 12

A: To find the derivative of: f(x)=4x53-3x-2-12 Solution: f(x)=4x53-3x-2-12 Differentiating both sides…

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

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Q: The perimeter of a rectangle is 200 meters. Express the area as a function of the length, ?.

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Q: The derivative of f(x) = 5lnx is

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Q: Calculate the derivative. f (x) = 4x5/3 − 3x −2 − 12

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Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: Find a formula for the derivative of the function 2x2 – 3

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Q: would it make sense for a function to pass through (0,100)? Why?

A: Topic:- function and geometry

Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

A:

Q: Life expectancy at age 65:  By using the Social Security Administration data for selected year from…

A: fx=0.077x+13.8

Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

A:

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.

Q: Calculate the instantaneous rate of change for the function f(x)=2/3x+5 when x=-7

A: The function is f(x) = 2/(3x + 5). We have to calculate the instantaneous rate of change for this…

Q: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

A:

Q: The average annual pay for truckers P in a certain country​ (in thousands of​ dollars) can be…

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Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

Q: Find the derivative of the function. f(x) = 10/((x ^ 2 - 4) ^ 4)

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Q: Find the derivative of the function. g(x)=(4x5+1)4

A: We have gx=4x5+14Using power ruleddxxn=nxn−1