Grinding engine cylinders Before contracting to grind engine cylinders to a cross-sectional area of 9 in2, you need to know how much deviation from the ideal cylinder diameter of c = 3.385 in. you can allow and still have the area come within 0.01 in2 of the required 9 in2. To find out, you let A = p(x>2)2 and look for the interval in which you must hold x to make 0 A - 9 0 … 0.01. What interval do you find?

Q: Find a number w such that the line through the origin that contains the point (4, w) makes a 13°…

A: Slope of the line m=tan(130)=0.23087 Given line is passing through origin. So equation of the given…

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Q: The value of e" dx from 0.2 to 2.2 by using multiple segment trapezoidal rule, n-2 is O 7.8423 O…

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Q: 2. Find the area between the curve y = 3x2 + 2 and the line y = 2 * x- 3 from x = 0 to x = 3. Answer…

A: To find the area enclosed by the curves y=3x2+2 & y=2x-3 from x=0 to x=3.

Q: Find the value of zg. a = 0.22 ... The value of zo.22 is . (Round to two decimal places as needed.)

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Q: Find the area under the curve y² = x and y=x a.) sq.units 2 b.) = sq.units

A: We need to find the area under the curve y2=x and y=x2. Let us first plot the region.

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Q: y = x2 y = k; -VE

A: Area between curves

Q: The area of the interval lies between z = -2.27 and z = 0.36 is %3D Part: 1/4 Part 2 of 4

A: Given that.   X~N(0 , 1 )   μ=0   , ?=1    ( for standard normal distribution)   Z-score =( x - μ…

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A: here we will use 8 rectangle i.e. n=8 with right Riemann sum to approximate value of rectangle and…

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A: Given that AB is parall to DE. We have to find the value of x.

Q: numerically equal. (A) 1/8t in. (B 1/4T in. 2πin. D T? in.

A: We will find the radius.

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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.