Given the functions: 1. y = 0.1sin((x+0.15)/-0.1) +0.1 2. 6y=x^2-10 Find the area of the region bounded by the functions. (integral)

Q: Find the exact area between f(x) = 2x and g(x) = 15 – x from the vertical axis to their point of…

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Q: Find the area under the curve y = 1/(6³) from x = 1 to x = t and evaluate it for t = 10, t = 100.…

A: To find the area under the curve  and to evaluate it for . Then to find the total area under this…

Q: Find the area bounded by the curve y = 62xe-62x and the x axis from x =0 to x = 4

A: Area bounded by the curve y=f(x) and x-axis from x=a to b is given as, ∫abf(x)dx Some common…

Q: y = -x^2 + 4x, y = x^2 - 6x + 5, x=0, x= 1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units…

A: We have to find the area of the bounded region.

Q: Find the area bounded by the curve y = 7x ln(x), the x-axis, and the lines x = 1 and x = e.

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Q: Find the area under the curve y = 3xe for æ > 3. area =

A: Given:The given curve is y=3xe-x and x≥3To find:we have to find the area under the curve

Q: y = x2 y = 6 - x 10 8- (a) Find the area of the region by integrating with respect to x. (b) Find…

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Q: 1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5?…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the area of the region between the x-axis and the curve y = 8/(x2 − 4) for x ≥ 4.

A: Find the area of the region between the x-axis and the curve y = 8/(x2 − 4) for x ≥ 4. (Please put 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.