Find the area between the graph of the function and the x-axis over the given interval, if possible. 24 for (- o, 0] (x-1)2 f(x) = O A. 24 О В. 1 О С. -24 O D. Divergent

Q: Find the area under the curve below from x = 1 to x = 4. y = 5x + (3/x2)

A: We have to solve the area

Q: Set up the definite integral required to find the area of the region between the graph of y=x2-17…

A: First draw the curves and find their intersection  points then use integration to get the area.

Q: 1. [0, 3). Find the area between the graph of y = x and the x-axis over the interval

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Q: Approximate the area under the t - curve, with degrees of freedom 29, to the right of t = 2.462…

A: The degrees of freedom is 29.

Q: Find the area between the curve of X = 5 4 3 2 1 1 2 3 O 2.749 O 3.296 4.159 4.957 4 5 33 and the…

A:

Q: 2. The area bounded by y=3x+4 and the curve y=x2 is revolved about the line x =5.

A: 2) The area bounded by the given curves is:

Q: Find the area under the curve y Т over the interval [1,4]

A: Topic = Area

Q: 10. Find the area between y = 3x²+14 and y = 4x + 2 over the interval [-2 , 2]

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 18 -…

A:

Q: 6. Find the area between the curve y = x(x - 3) and the ordinates x = 0 andx = 5.

A:

Q: Find the area under the curve y 7 x over the interval [1, 5]

A: Given curve y=7x

Q: 1. Find the area bounded between the curves: y = x+1, y = -2x + 7 and x = 0 A. With respect to the X…

A:

Q: 3. Approximate the area under the curve y =x² +2 between x = 1 and x=7 using 3 subintervals (n = 3)…

A: We know that according to right end approximation, the area under the curve is, A≈∑i=1nf(xi)∆x   It…

Q: 39. For the function f(x) = e + e, prove that the are length on any interval has the same value as…

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Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

Q: The area of the region bounded above by yx+7. bounded below by vey2, bounded from the left by x2 and…

A: The given region is as shown. Now, It is bounded above by y=x+7 and below by y=x2. So, the upper…

Q: 1. Find the area between the curves x2-y2 = 9 and the line y = 2x-6

A:

Q: B) Compute the area under the curve of the function f(x) = x(3x – Vã), between x = 1 and x = 4.

A:

Q: Find the area under the given curve over the indicated interval. y =x +6x+ 1; [3, 5]

A: To find area under the curve we use definite integrals.

Q: Find the exact area under the curve between the indicated values of x. y = -x2 + 9; between x = 0…

A:

Q: 4. Find the approximate area under the curve f(x) = x³ – 3x² + 7 on the interval [0.97,3.4]. Use…

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Q: Approximate the area under the curve f(x) on the closed interval [1, 3] with 5 circumscribed regular…

A: Given curve f(x)=x2+9x+10 interval 1,3. The objective is to estimate the area under the curve. Area…

Q: Find the area between the curve y=2x+4x-6 and the x-axis from x =-2 to x= 3.

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 12-2²…

A: we have to find out area

Q: Find the area between the curve and the x axis over the indicated interval. y=8/x; [1,7]

A: We will use integration to find area under the curve

Q: Approximate the area under the curve of y =x+3 over the interval x=-3 to x= 1 uning 4 right endpoint…

A:

Q: The area of the region bounded by the curves y =x and y = 20–x² is попe 4.4 O 4= " |20–x²-x| dr -4.4…

A:

Q: What is the area bound between the curve y= \x/2 and the x-axis between x =-3 and 4/2 - 2/3 3 x = 2?…

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Q: 7 - over the interval [1, 5] Find the area under the curve y

A:

Q: 7. Find the area bounded by the curve y = x² + x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: The area under the curve y=f(x) in the interval a, b is calculated using the formula: A=∫aby dx. We…

Q: 2. Find the area between between x = 0 and x =9. y=√x-10 and y=0 10

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Q: Find the area under the curve y = - - over the interval [4, 9]. (4x + 2)² Enter the exact answer.…

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Q: 8. Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis.

A: We have to find volume of solid generated by revolution.

Q: 2. Find the total area under the curve f(x) = 2xe² from x = 0 and x = 5.

A:

Q: Approximate the area under the curve of y =-+x+5 over the interval x = -1 to x = 4 using 5 left…

A: Formula: Using left end points AL = Δx[f(xo)+f(x1)+......+f(xn-1)

Q: 1. Find the area under the curve y = 9- a2 over the interval[0, 3] using right end point…

A:

Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: Can i get help step by step?

A: We graph y=7x using a graphing calculator  The graph cuts  x-axis at x=0  So over the interval…

Q: 1. Find the area under the curve of y on the interval [1, 4).

A:

Q: The area between z = −2.27 and z = 1.41 is .

A: P(-2.27<z<1.41)=?

Q: (4) Calculate the area between the two curves of the functions fi(x) = x2 and f2(x) = 2 x + 3

A: Here, the given curves are f1(x)=x2, f2(x)=2x+3 First of all, find the intersection point(s) of the…

Q: Find the area between the curve and the x-axis over the indicated interval. y = 25 - x2; [-5, 5|

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Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

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Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

A:

Q: The area between the curve y = - and the x-axis from x = 10 to x = 20 is the same as the area…

A:

Q: Find the area under the curve y 5 -over the interval [4, 7]. (3x + 1)² Enter the exact answer. area…

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Q: 3 Find the area under the curve y over the interval [3, 8] (4x + 2)?

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Q: Compute the area under the curve of f(x)= e4 1 from x = 2 to x = 5

A:

Q: The area under the curve y =3/x over the interval [1.4]is equal to: 14

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.