Calculate the area, in square units, bounded above by f(x)=x2+8x+16 and g(x)=8x+80 and bounded below by the x-axis over the interval [−10,−4].

Q: Determine the area, in square units, of the region bounded above by g(x)=−8x+3 and below by…

A: Given g(x)=−8x+3 and f(x)=−7x+16 And the curve g(x) is bounded above and f(x)=−7x+16 is bounded…

Q: Consider the function f(x) = 2x10 + 7x° – 6x² – 9. Enter the antiderivative of f(x) -

A: To find The anti derivative of f(x).

Q: Calculate the area, in square units, bounded above by f(x)=x2+4x+4 and g(x)=−4x+4 and bounded below…

A: Consider the curves, fx=x2+4x+4,   gx=-4x+4 To sketch the graph: Here there are two region be…

Q: Determine the area, in square units, of the region bounded by f(x)=10x3+x2−21x−9 and…

A: The region bounded by the curves, fx=10x3+x2-21x-9 and gx=9x3+x2-5x-9 over the interval [2,6].

Q: Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 6. ...

A:

Q: Find the area, in square units, bounded above by g(x)=6x−1 and below by f(x)=7x−15 over the interval…

A: It is given that region is

Q: Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x =

A:

Q: Estimate the area between the x-axis and the graph of f(x)=9−x2f(x)=9-x2 over the interval…

A: We will use rectangle's formula to evaluate the area of curve

Q: Find area of region f(x)=x2+4x+4 g(x)=4x+13

A:

Q: Consider the region bounded above by f(x)=7x2+3x−45 and below by g(x)=8x2+22x+45. Find the area, in…

A: First, we need to find the points of interesection of f(x)=7x2+3x−45 and g(x)=8x2+22x+45At points of…

Q: find the area of the region under the graph of the function f on the interval [4,10]  f(x) = 8x - 5…

A: Area of trapezium

Q: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over…

A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval…

Q: Consider the function f(a) = 7x° + 5x° - 5x 3. Enter the antiderivative of f(x)

A:

Q: Determine the area, in square units, bounded above by f(x)=−x2−8x and g(x)=3x+24 and bounded below…

A: Topic = Application of integration

Q: Determine the area, in square units, of the region bounded by g(x)=−10x+11 and f(x)=x^2−5x−13 over…

A: Solve the following

Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2 +19x+62 over the interval…

A: We have to find area between f(x) and g(x) for given boundaries.f(x) and g(x) is given below:Graph…

Q: Find the total area between the curve of the function f(x)=−4x+8 and the x-axis over the interval…

A: To find the total area between the curve of the function f(x)=−4x+8 and the x-axis over the interval…

Q: Consider the region bounded above by f(x)=7x2+3x−45 and below by g(x)=8x2+22x+45. Find the area, in…

A: The given functions are,

Q: (a) Estimate the area under the graph of f(x) = 2 + 4x from x = -1 to x = 2 using three rectangles…

A:

Q: Find the area in square units, bounded by g(x)=-7x+1 and f(x)=x^2+7x+41 over the interval [-10,-4].…

A: to find the area we use the formula  ∫abg(x)-f(x)dx

Q: The area of the interval lies between z =-0.82 and z = -0.42 is | 0

A: area under normal curve represented by proabability

Q: Consider the region bounded above by f(x)=−2x3−9x2−10 and below by g(x)=−x3−12x2−10. Find the area,…

A: To calculate the area contained between the two given curves (as boundaries)

Q: Given the function f(x)=2x+6, find the total area between f(x) and the x-axis over the interval…

A: Result used:The area between the function f(x) and the x-axis over the interval [a, b] is,

Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

A:

Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

Q: Determine the area, in square units, of the region bounded above by f(x) = -x² + 20x – 70 and below…

A: Given:  fx=-x2+20x-70 gx=x+20 To find: Find the area over the interval 9, 10. Required formula:…

Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2+19x+62 over the interval…

A: The area enclosed by the parabola and line is given by

Q: Determine the area, in square units, bounded above by f(x)=−x2−10x−16 and g(x)=2x+16 and bounded…

A: Given: fx=-x2-10x-16gx=2x+16 We need to find the area bounded above by fx and gx and bounded below…

Q: Let f(x)=6x2+1f(x)=6x2+1.Enter an antiderivative of f(x) . . .

A: The given function is,

Q: The area bounded by the curve y = 14.x and the lines x = 4 and x = 6 above the x- axis is 364 square…

A: Area=∫ab(upper curve-lower curve)dx∫xndx=xn+1n+1+C

Q: Determine the area, in square units, bounded above by f(x)=−x^2−10x−16 and g(x)=2x+16 and bounded…

A: Given that fx=-x2-10x-16gx=2x + 16 The objective is to find the area of the region which is bounded…

Q: 1. Determine the area of f (x) = 3 + 2x – x² and above the x axis. - X - 3x 3 3 2. Determine the…

A: To find the area of f(x) and above the x-axis, use the formula, A=∫-13f(x)dx and substitute f(x)…

Q: Find the area, in square units, bounded by g(x)=3x−4 and f(x)=x2+5x−52 over the interval [−8,6]. Do…

A:

Q: Find the area (in square units) of the region under the graph of the function fon the interval [-1,…

A:

Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 & x=14 To find Area:

Q: Let f(x) = -a² + 6æ – 5. Estimate the area below the curve y = f(x) and above the x-axis using 100…

A: Let f(x)=-x2+6x-5 To estimate the area below the curve y = f(x) and above the x-axis using 100…

Q: Find the area of the region enclosed between f (x) = 0.1x2 + 4, g(x) = x, x = -8, and x = 4

A:

Q: find the area between f(x)=x^2-16 and the x axis from x=0 to x-=9

A: The given function is fx=x2-16 We have to find the area between fx and the x-axis from x=0 to x=9

Q: Find the area, in square units, bounded above by f(x)=x2+4x+4 and g(x)=9x+54 and bounded below by…

A:

Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

A:

Q: Determine the area, in square units, of the region bounded by g(x)=6x+12 and f(x)=x2 +7x−8 over the…

A: We have to find the area under the curve of g(x), then substract the area under the curve of f(x).…

Q: Find the area of the region between the graph of f (x) = x* – 3x² +8 and the closed interval [-1,…

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – 2° over the interval [0, 3] by…

A: Given function is f(x)=9-x2 we have to find the area over interval [0, 3]. Since there is 3…

Q: Find the area, in square units, bounded above by f(x)=x2+8x+16 and g(x)=x+10 and bounded below by…

A: The given functions are fx=x2+8x+16 and gx=x+10 .

Q: Determine the area, in square units, of the region bounded by f(x) = 2x³ + 5x² – 11x + 9 and g(x) =…

A:

Q: Determine the area, in square units, bounded above by f(x)=x2−8x+16 and g(x)=4x−4 and bounded below…

A: Given: fx=x2-8x+16gx=4x-4 Bounded below by x-axis over the interval [1,4] To find the area bounded…

Q: The area of the interval lies between z = -2.49 and z= 1.72 is

A:

Q: 18: Find the total area of the region between the functior F(x) = x3 – 4x² + 3x and x-axis from…

A: The given curve is we have to find the area bounded by the region f(x)  and x-axis from [-3,3].

Q: Find the area, in square units, bounded above by f (x) = –x² + 10x – by the x-axis over the interval…

A:

Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.