For f(x)=3x2 +4x+5 on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height of the rectangle be determined by the midpoint of the rectangle

Q: Find the number x in the interval so that the difference of the number from thrice its cube is…

A: Solution is given below:

Q: Find the average rate of change of the function f(x) = 2x² + 16x + 28 on the interval [-3, –3 + h].

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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: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

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Q: 15. Find the interval on which f(x) = x³ – 3x² – 144x – 140 is concave up and the interval on which…

A: Point of inflection is a  point where 2nd derivative of a function is 0.

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

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: 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: A company finds that the marginal profit, in dollars per foot, from drilling a well that is x feet…

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Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) < 0.

Q: find the extrema of f(x) =2x3-6x on [0,3]

A: Given:

Q: Find the absolute extrema of f(x) = 6x + 4 + on the closed interval [1, 6). Show all work.

A: Absolute extrema at x=2 and 6..

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−67xf(x)=7-67x, and the line…

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Q: Find the average rate of change of the function f(x) = x2-40x+28 over the interval [10, 50].

A: topic - average rate of change of function over interval

Q: Approximate f(3) centered at 0 of f(x) = 2x³ + 3x² + x - 1. %3D

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Q: for f(x)=2x4-5x3+7 find all potential points of inflection and map the intervals where the function…

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Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: Find the interval where the function, f(x) = 5 V3x – 2V3x + 57 is increasing?

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Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: Find the absolute extrema of the function on the closed interval.

A: Relative extremum of a function are critical points of the function. Critical points of a function…

Q: Consider the function f(x) = - 2x + 24x2 42x +4. %3D - Find the critical points.

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Q: What is the Average Rate of Change for the function f(x) = x² + 7x - 4 over the interval [0, 2]? You…

A: Follow the procedure given below.

Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

Q: Determine the largest interval on which the function f(x) = (x + 1) %3D is concave upward.

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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: The limit of f(x) = sqrt x as x approaches 9 is Infinity 3

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Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

Q: (A) Find the absolute maxima and minima for y 4x +1 over 3 - [-V5, V5]. (B) Use the second…

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Q: Find the areas below. a) Between the graph of f(x) = 50 + 3x² and x-axis over the interval [-2, 4].

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Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: : Find the value of k that makes function continuous at x = 4 %3D 3x + 6 x > 4 f(x) = 6x – k x < 4 -

A: To find: The value of k

Q: Find the absolute extrema of f (x) = x-12x on the closed interval [0, 4].

A: The given function is, fx=x3-12x The interval is 0, 4

Q: Find the absolute extrema of f(x) = 2x3+3x2−12x on the interval [0, 2]

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Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -

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Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

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Q: Differentiate. f(x) = 5x^5 - 8cos(x) f'(x) = ?

A: Given f(x)=5x5-8cos(x)

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: Estimate f′(20)f′(20) where f(x)=x3+7x2−16x−10f(x)=x3+7x2−16x−10 to within one decimal place by…

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Q: Find the value of K that makes 4-x2 f(x) = {2-x if x # 2 2K if x = 2 continuous at x = 2 ?

A: Find the value of k

Q: Find the slpoe of the secant line between the values x 1 =-1 and x 2 =3 for f(x) = 8x - 3

A: Givenf(x)=8x-3x1=-1  x2=3

Q: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: 5. Find the interval on which f(x) = x³ – 3x2 – 144x – 140 is concave up and the interval on which…

A: We will solve the problem

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 area of a triangle bounded by the yy axis, the line f(x)=7−(1/3x) and the line…

A: We have given the line f(x)=7−(1/3x)

Q: Find an approximation that is accurate to three decimal places to the zero of f (x) = x³ -3x- 1 in…

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Q: Find the root(s) of f(x) = x-12.42x +50.444x-66.552 in the interval 4sx56 to accuracy of 0.001.

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