27. If a function representing distance (feet) as a function of time (minutes), what does f(30) represent in terms of the situation? Special Characters Back Complete Assessment Time Remaining: 26/ 60 (minutes)

Q: At the surface of the ocean, the water pressure is the same  as the air pressure above the water, 15…

A: Let the distance be measured from the surface of ocean. The distance be represented by variable h…

Q: Evaluate the function f(x) = 30x at the given value of x=√3. Round your result to three decimal…

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Q: The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that…

A: We will modern the following question by the function in next step.

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Q: Differentiate the following function. y = 6 e* (1+3 ex)2

A: To differentiate the given function :

Q: 3. A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well…

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Q: A ball is projected off of a 400-ft-tall building at a velocity of 45 ft/sec. The function f (x) =…

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Q: The acceleration of a moving body is given by the function a = 6t +4. If the velocity after 4…

A: Given, Acceleration of the body  a=6t+4 Velocity after 4 seconds = 70m/s Displacement in that time =…

Q: A spherical balloon with radius r inches has volume V(r) =Tr'. Find a function that represents the…

A: First, we are given the formula for the volume of a sphere…

Q: Answer the following, showing all necessary work. 1. Given a function f(x), what does f'(x) tell us…

A: First we have to to understand meaning of f'(x):

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: Suppose a pizza has just been taken out of an oven to cool. The temperature, H, of the pizza…

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Q: The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P' (x) = 3 (2а —…

A: THE SOLUTION IS GIVEN BELOW

Q: Find the net change in the value of the function between the given inputs. f(x) = 8 − 3x;    from 4…

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Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each…

A: Given function fx=x2 to find rate of change of area.

Q: A pebble is embedded in the tread of a rotating bicycle  wheel of diameter 60cm. If the wheel…

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Q: The function f(x) = Tx describes the area of a circle, f(x), in square inches, whose radius measures…

A: It is given that, the functionf(x)=πx2   ,  where f(x) is area of circle and x is the radius of…

Q: Šuppose that the price p, in dollars, and the number of sales, x, of a certain item are related by…

A: Differentiate the given relation with respect to time 't'.

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Q: One company buys a new bulldozer for $126400. The company depreciates the bulldozer linearly over…

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Q: 3. Suppose that, in a given gourmet food store, people are willing to buy x pounds of chocolate…

A: Given :         The price - demand equation is          x = 10 + 180p  , 2 ≤ p ≤ 10   To find :…

Q: What is meant by “the value of a function at x”?

A: Let the function be f(x).

Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the…

A: Differentiate wrt t

Q: 4. The value, V(t), in dollars, of a certain vehicle as a function of time, t, in years, depreciates…

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Q: Mr. dela Cruz encourages his students to solve math problems fast and with accuracy. He observed in…

A: Given: fx=3x2-x  ……1   where x=Number of word problemsfx=Minutes spend   To find: Average rate of…

Q: 4. Jan invested $2500 in an investment vehicle that is guaranteed to earn 4% interest compounded…

A: The given account equation is A(t)=2500(1.04)t. (a) Evaluate the value of A0 and A10. (b) What do…

Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

A: Given length = x  width= y

Q: The function for the distance required of a moving object to reach a specific velocity is v = v2as…

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Q: The function f(x) = πx2 describes the area of a circle, f(x), in square inches, whose radius…

A: Given,  The area of the circle is described by the function  fx=πx2 in square inches. Where x is the…

Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

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Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item are related by…

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Q: Find the average rate of change of the function from x = 1 to x = 2  F(x) = 8/x^2   Average rate…

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

Q: Use a calculator to evaluate the function at the indicated values. Round your answers to three…

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Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: 1. The function f gives the discharge rate of the Kalamazoo river in m³/s as a function of x miles…

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Q: Is the ball rising or falling then? Because the upward velocity is positive, the ball is rising.…

A: Given: V=48-32t

Q: The average cost for a company to produce  units of a product is given by the function…

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Q: Determine the maximum and minimum value of the function f(x) decimal places where applicable. 3x3 -1…

A: Given: fx=3x3x-1for -10≤x≤10 To Find: Maximum and Minimum Value Concept: First Derivative Test for…

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

A: I use second derivative test to find out time where height is maximum

Q: 3. Suppose a feather is dropped from a height of 40 m above the surface of the moon, its height s…

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Q: Determine the net change and the average rate of change for the function  f(t) = t2 − 4t  between…

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Q: During a month-long advertising campaign, the total sales S of a magazine is modeled by the function…

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Q: 1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

A: Area of the circle = πr2............................................(i)                   radius =…

Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

Q: 4, A vehicle was traveling along a straight way. The velocity as a function of time is modeled by…

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: The cost of renting a moving van is $25a day, plus $0.35 per mile driven. Which function can be used…

A: Given, No. of miles driven = x miles Cost of 1 mile =$ 0.35  So, cost of x mile driven = Cost of 1…

Q: 1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Differentiate the function.

A: Given: y=ex1-ex

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

A: