Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x = 2 using three rectangles and midpoints.

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−(6/7x) and the line…

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Q: Find the area of a triangle bounded by the y-axis, the line  f(x) = 6 − 6/7x  and the line…

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Q: Find the average rate of change of the function f(x)=−2x2+6x+8f(x)=-2x2+6x+8, on the interval…

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Q: Find the average rate of change of f(x)= 3x^2−x from x1=2 to x2=4

A: The given function is f ( x ) = 3x2 – x and x1 = 2 , x2 = 4. In order to find the average rate of…

Q: Express the area A of an isosceles right triangle as a function of the length x of one of the two…

A: We have to express the area A of an isosceles right triangle   We have to write area as a function…

Q: Find the average rate of change of g(x)=3x3 +3/x4 on the interval [-4,3]

A: Solution is given below

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=9−27xf(x)=9-27x, and the line…

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Q: Find the number b, where b>0, such that the average value of f(x)= 3 - 27x2 on the interval [0,b] is…

A: f(x)= 3 - 27x2  interval [0,b] average value of f(x)= 3    or      fave=2

Q: For f(x)=3x2 +4x+5on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height…

A: The area of the function fx on the interval a,b using midpoints of the n rectangles is given by the…

Q: Given f(x) = V2x – 3, find the average rate of change on the interval2, . %3D

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Q: Find the average cost function if cost and revenue are given by C(x)= 186 + 7.3x and R(X)= 7x-0.08x

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Q: Examine f(x,y) = 2x2 - 4x +xy2 - 1 for relative extrema?

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) = 2x2 - 4x +xy2 - 1 as follows. f(x,y) = 2x2-4x+xy2-…

Q: Find the average rate of change of f(x) = x3 - 5x2 + 27from - 3 to 2.

A: We know that, for the average rate of change, we divide the change in the output value by the change…

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

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: Find the average rate of change of f(x)=4x3-5 over the interval [-1,2]

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: Find the numbers b such that the average value of f(x) = 2 + 10x - 9x2 on the interval [0, b] is…

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Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

Q: Find the area of a parallelogram bounded by the y-axis, the line  x = 2,  the line  f(x) = 8 + 2x,…

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Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: use marginal profit to approximate the profit from the sale of the 26th skateboard.  P(X)= 30X-0.3X2…

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Q: If the marginal revenue function of a firm r/ (x) = 5 + 3x – x 2 and r(6) = 112, find the total…

A: Given  Marginal revenue function  MR=r'x=5+3x−x2   and   r(6) = 112

Q: Find the point at which the line f(x) = - x – 2 intersects the line g(x) 3x + 6 %3D

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: Find the average rate of change of g(x) = 4x² + 4 on the interval [-4, 3]

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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

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Q: If the marginal revenue function of a firm r'(x) = 5+ 3x – x² and r (6) = 112, find the total…

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Q: Find the relative extrema for f(x) = x* + 32a²

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Q: Find the average rate of change of f(x) = 8x² − 4 on the interval [5, a]. Your answer will be an…

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Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: A company has found that the profit (in dollars) from the sale of x ovens is given byP(x) = −0.02x3…

A: we will calculate profit  from 55th oven sold .for this we will use different technique

Q: What is the average rate of change for the function f(x)=x3−6x2+4x+7f over the interval 0≤x≤5?

A: We have to find

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−13xf(x)=7-13x, and the line…

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Q: Find the average rate of change of g(x)=2x2+7/x3 on the interval [-2, 1].

A: Average  rate of change of g(x) on the interval [a,b] can be calculated as

Q: Find the average rate of change of f(x) = 3x2 - 2, from 2 to 4.

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Q: Suppose that the revenue function for the manufacturer of a lawnmower is R(x) = 700x – 0.5x² , where…

A: Given,           Revenue function, R(x) =700x - 0.5x2  and where x is the number of lawnmovers sold.

Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

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Q: Estimate the area under the graph of f(x) = 9 + 2x2 from x = −1 to x = 2 using three rectangles…

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Q: Use local linear approximation based on the input 2, to estimate f(2.29) when f(x) = x5+26x3 - 112x…

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Q: For f(x)=3x2 +4x+5 on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with…

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Q: Given the function f(x) = -x² – 7x + 19, determine the average rate of change of the function over…

A: Given function is: fx=-x2-7x+19 And the given interval is: -9≤x≤3 At x=-9:…

Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

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Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: Use local linear approximation based on the input 1, to estimate f(1.41) when f(x) = x5+26x³ – 112x…

A: Use linear approximation formula:-

Q: Make an estimate for the area between the graph of the function f (x) = 1 / x and the interval 1 ≤ x…

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Q: Find the average rate of change of f(x) = 6x² – 7 over the interval [-3,1]. %3D

A: Given data: *The function f(x) is, f(x)=6x2-7 *The interval defined for the function is [-3,1]. The…

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: Find the numbers b such that the average value of f(x) = 6 + 10x - 6x2 on the interval [0,b] is…

A: Compute the average value of f (x) = 6+10x-6x^2 on the interval [0,b] equal to 7 as follows.

Q: Calculate the average rate of change for the function f(x) the interval -2 ≤x≤5 = =-3x². 7x over

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