Make sure to highlight the region. (1, /3)

Q: Find the area of the region between the graph of y=x+2, above x-axis, and between the lines x= -1…

A: Given:

Q: Find the area of the shaded region.

A:

Q: Find the area of the “triangular” region bounded on the left by y = sqrt(x), on the right by y = 6 -…

A: It is given that,

Q: Find the area of the region bounded by the graphs of the equations.

A: Given that : The curve y = 4x2 + 3 , x = 0 , x = 2 , y = 0.

Q: Compute the total variation distance between

A: Introduction: The probability mass function (p.m.f) of Bernoulli distribution is as given below:

Q: 8. Determine the area of the shaded region: (4x +5) (x-2)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The area between the two curves in the picture is

A: GIven functions are, y1=4y2=x2The given graphs are symmetric about y axis.The points of intersection…

Q: What is the area of this region?

A:

Q: Find the region bounded by the graphs of the equations : りミメき,リ:タx

A: Let's find.

Q: What is the area of the largest rectangle that can be drawn with one side along the x-axis and the…

A: given curve is y=e-x2 find the largest area of a rectangle which has one side along the x-axis and…

Q: If the area of the shaded region. is 21.05% or .2105, find the z score at the question mark. Round…

A: z-score: The z-score is the number of standard deviations that the data points lies above or below…

Q: Find the area between the curves x² and 3x – 2

A:

Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the…

A: Area under the curve =∫ab(upper curve -lower curve)dx

Q: Estimate the area under the curve y=64-x^3 between x=0 and x=4. Use four rectangles

A:

Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

A:

Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

A:

Q: FIND THE AREA OF THE REGION IN THE FIRST QUADRANT THAT IS BOUNDED ABOVE BY y=sqrt(x) AND BELOW BY…

A:

Q: Estimate the area under the graph of the function

A: Given,            f(x)=x+4,   x=-3, to x=3.

Q: Find the area of shaded region.

A: Consider the graph,

Q: Find the area of the shaded region. 6- 5- 4 3 1- 4 -3 -2 -1 4 3

A:

Q: Approximate the area under the curve graphe

A: answer is in next step

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: Find the area of the shaded region. yA y = -x2 + 4x y = x2 - 2x

A: We have the given curves as y=-x2+4x        ⋯⋯1y=x2-2x            ⋯⋯2 On solving the equation (1)…

Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis. Answer:

A:

Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes.

A: Given query is to find the area bounded by the line.

Q: Find the area of the region bounded by the graphs of the given equations. 4

A:

Q: Find the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

A: Consider the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Use Desmos graphing calculator to sketch the area of the region bounded by the curves

A: Given,          The two curves are x=4-y2 and x=4-4y.

Q: Find the area of the shaded region. 5ft

A: Given shaded region is  This shaded region is quarter of a circle having radius 5 ft. Therefore the…

Q: Using the z-table, determine the z-score that has  15% of the area to the right of it

A: P-value = 15% = 0.15 Right tailed test

Q: Find the area between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

A:

Q: Find the area between the curves x2 and 6x – 5

A:

Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Find the z score if the area of the shaded region is -8172 Round to 2 decimal places Z score

A: The given area of the shaded region is 0.8172 The total area is 1  The remaining area is,  Remaining…

Q: Find the area of the shaded region. 2x - x? -2... 3 x³ - 2x? -3- -4

A:

Q: Find the area between the curve and the x-axis over the indicated interval. y = 25 - x2; [-5, 5|

A:

Q: y=9-x2 and ミ-4

A:

Q: Find the area of the region in the first quadrant bounded by the line y=5​x, the line x=5​, the…

A:

Q: Find the area of the region between the x-axis and the curve .3 y = x³- 4x - 2 < x<2 ?

A: Let us first plot the graph of y=x3-4x, -2≤x≤2.

Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

A:

Q: Find the area of the shaded region. f(x) = x* - 8x + 21x, g(x) = 6x + 36 (3,54) (-1,30 by -10

A: GIvenf(x)=x4-8x3+21x2g(x)=6x+36To find the area of shaded region from given figure.

Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes. Draw the graph

A: Given query is to find the area bounded by the line.

Q: What is the area of yhe region in the first quadrant defined by y=x^2 and y=4

A: Area of the region in the first quadrant defined by y=x^2 and y=4

Q: Find the area in the first quadrant bounded by y=4x-x² and the x-axis

A:

Q: Find the area of one petal of the rose curve.  r=2sin(5theta)

A:

Q: Estimate the area of the region under the curve        y = -x3 + 5 and above the x-axis for…

A:

Q: Find the area of the shaded region on the graph with y =4secxtanx

A: To find the area of the shaded region

Q: Calculate

A: Please refer to the image below

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.