a) Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 5 using four approximating rectangles and right endpoints. Sketch the graph and the rectangles. y y 5 3 3 2 2 2 3 5 1. 2 3 5 y 아 5 3 3. 2 2.

Q: Find two  z  values so that  37%  of the middle area is bounded by them

A: we need to find two z values so that 37% of the middle area is bounded by them

Q: How do you find area under the curve?

A: y=12cosh(2x)

Q: Find the TOTAL geometric area bounded by the curve given by f(x) = x5 – x3 and the x-axis on the…

A: Given the curve is fx=x5-x3. Find the area bounded by the curve fx=x5-x3 and the x - axis y=0.

Q: 3) Use approximating rectangles to approximate the area under the curve y = 4 – x2 on the interval…

A:

Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

A:

Q: Estimate the area under the graph of f(x) = √x + 4 over the interval [−4, −2] using eight…

A: fx=x+4 To find: The area under the graph fx=x+4 over the interval -4,-2 using the midpoint formula…

Q: 10. You are given a 200 meters of fencing material and asked to enclosed a rectangular lot with…

A:

Q: 10. (8x + 3) dæ

A:

Q: Solve the area bounded by the parabola y2=4x and the line y=2x-4 in two ways. Graph it

A: We are given the parabola y2=4x and the line y=2x-4 .

Q: Find two  z  values so that  62%  of the middle area is bounded by them

A: Given that  We have to  find two z values so that 62%  of the middle area is bounded by them

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

A: To find the area under the graph of f(x)=1+x2 from x = −1 to x = 2 using three rectangles and right…

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.