2. Find the area between the curves. x = - 2, x = 1, y = 6x, y = x2 - 7

Q: Find the area bounded by the parabola y2 − 3x + 3 = 0 and the line x = 4. With illustrations please

A:

Q: Find the equation of the vertical line that divides the area of the region R bounded by 1 y = 20x2…

A: Identify the limits of integration from the given region, to calculate the area of the region. Here,…

Q: Find the area to the left of z = -1.96 or to the right of z 1.96?

A: We want to find the area to the left of z = -1.96 or to the right of z = 1.96

Q: Q4. Ca) Graph s=2sin3 (b) Evaluate the area inside the curve.

A:

Q: 1. Find the area between y intersection points. = 3x²+2x+1 and y = 7x+2. Use technology to find the

A: Area = 4.1678 square unitsExplanation:Given curves:y=3x2+2x+1y=7x+2 The curves can be plotted as…

Q: a) The function f:x 1 a+b cos x, is defined for 0<x<2n. Given that f(0) = 10 and that f()=1, find…

A: As per the answering guideline, only one question can be answered at a time. Please repost the other…

Q: Determine which graph corresponds to the area enclosed by the curves y = 5x² and y = x² + 3. O 9 8 7…

A: Given functions , y = 5x2 y = x2 + 3 To be found : Area enclosed by the two curves.

Q: y y =x - 4 y =/2x + 8 4 6 10 x -2- -6+

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: 6. 2x² 11+x²³ Find the area in square units, between the curve y=- x=2 to x = 5. and the x-axis,…

A:

Q: Find the area between two curves. x = y? 2- x = 9 0- + + + 10x 2 -2- 4 6 8 4.

A: The objective is to find the area between two curves.

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.