If we know the pdf of of the Fandom variable, then we can find the exact area by using

Q: Find the area bounded by the graphs of the indicated equations over the given interval.

A:

Q: Find the area between the two Curv G. ye- -X, x² = G - Sy

A: Given that  y^2=-x,x^2=6-5y To find the area between the curves

Q: Then find the exact area.

A: Giveny=x-3 and 3≤x≤5

Q: 1.Find the area of RQT

A:

Q: Approximate the

A: Given,

Q: Find the area bounded by the given curves and lines. 1 (2–æ)³ x = -2 х — о

A: The given curves are: y2=1(2-x)3x=-2x=0

Q: What is the area of th

A: Here we have, x=(y-2)2 and x=-y2+10  Now we have to find the area of the region,

Q: Approximate the area under the curve y

A: Introduction: The formula of the trapezoidal to approximation is given by,…

Q: Find the area bounded by the given curves.

A:

Q: What is the area to the right of z=1.15?

A: Given z=1.15

Q: To get a better approximation of the area under a curve using Simpson's Rule, the value of "n" can…

A: SOL

Q: Approximate the area under the curve y with 6 subdivisions.

A:

Q: O Find the area of the region that lies inside the first curve and outside the econd curve.

A: We have to find the area of the region that lies inside the curve r=-2sin(θ) and outside the curve…

Q: Find the z-score that best satisfies the condition. 14% of the total area is to the right of z.…

A: Solution..

Q: Find the value of z such that .99 of the area under the curve is less than z (to the left of z).

A: Introduction:The random variable, Z conventionally denotes the standard normal variable, which has…

Q: Match the given Z-score with its corresponding area.

A: Given:   Z 1.18 0.75 3.15 1.23 2.82 2.17 3.04 0.96 0.08 1.65

Q: use midpoints from [1,5] with n = 4 to approximate the area

A:

Q: Approximate the area under the curve graphe

A: answer is in next step

Q: ind the

A: Here we have to find the area of the bounded region by the curves  y2=4a(y-x) .....................…

Q: The integrals can help us to find the area under the curve. Select one: OTrue O False

A:

Q: For the bell-shaped graph, what is the area under the curve?

A: For the bell-shaped graph, what is the area under the curve? For the bell speed distribution, the…

Q: find the area bounded by the following

A: Area between curves

Q: What is the procedure to find the z value when you have an area shaded between z on the left and 0…

A: Area shaded between z on the left and 0

Q: The area under the graph of y = on , e] equals 1+ In2 Select one: O True False

A: we have to find integration

Q: Find the area bounded by the given curves and lines. Illustrate

A:

Q: The question is "What is the area under the curve at the right?" How and what are the steps to…

A:

Q: the Area bound by

A:

Q: Find the​ z-score that best satisfies the condition. 14​% of the total area is to the right of z.…

A: Given, Area to the right of z = 0.14

Q: what z value has an area of 0.9803 to its left?

A: Answer: Here we have to find for what  z value has an area of 0.9803 to its left

Q: Find the area of the region that is bounded by the given curve a

A: Given, r=e-θ6, π2≤θ≤π

Q: Find the area between z%3D0 and z= 1

A:

Q: Find the total area of the region satisfying the E

A:

Q: Find the area under the standard curve that lies either to the left of 0.63 or to the right of 1.54.

A: Giveneither to the left of 0.63 or to the right of 1.54.

Q: To get a better approximation of the area under a curve using Simpson's Rule, the value of "n" can…

A: Explanation of the answer is as follows

Q: Let a be the number such that the area to the right of z=a is 0.21  Without using tables or…

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: Approximate the area Under the cur ve FCX) =x²+\ From X=z to x=5 Using a le Ft EAapoint…

A: The given question is from the application of integration.

Q: Determine the area under the curve to the left of z = -3.02.

A: Required probability is P(Z<-3.02)

Q: 1. Find the area under the curve on

A:

Q: ______  is the z-score such that the area under the curve to the left is 0.93

A: Given info: The area under the curve to the left is 0.93.

Q: One of the important applications of Green is to calculate the area. True false

A:

Q: Find the approximate net area of y = x cos x on [−π, π] using 3 left rectangles

A: Consider the given function as fx=x cosx on -π,π. Approximate net area of fx=x cosx on -π,π using 3…

Q: Find the z-value such that the area in the right tail is approximately 0.27.

A: From the provided information, The z value for which the area in the right tail is approximately…

Q: What z value has an area to the right of 0.0418?

A:

Q: Evaluate the integral of the following data using the Trapezoid Rule:

A: Given integral , I=∫00.5FXdX Values of X , FX given as follows: X 0 0.1 0.2 0.3 0.4 0.5 FX 1 7…

Q: What does the area under the curve signify?

A:

Q: Find the area under the curve from z = −1.5 to z = 2

A: Suppose the area under the curve from z = −1.5 to z = 2 is A. P(-1.5 < Z < 2)  = A

Q: how do I determine the area under a curve?

A:

Q: If we know the pdf of of the andom variable, then we can find the exact area by using

A: we can find the cdf by integrating the pdf over the range whose cdf is required

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.