the area between z=0  and z=-1.95 is

Q: Find the exact value of the area between the graphs of y = 1 – x and y = e for 0 < x < 1.9. area =

A:

Q: Find the area below the x-axis and bounded by the curve  y=1-2x for 5<=x<=7.

A: The given curve is: y = 1 - 2x;  where 5 &lt;= x &lt;= 7 The graph is as follows:

Q: y= -x² + 9; 0 sxs5 x< + 9; 0 < x< 5

A:

Q: Find the total area between y = 16 – x and the x-axis for 0 <x < 5. | Area

A: Please refer to the image below

Q: Find the area between the curves. y = x2 - 18, y = x - 6

A: y = x2 - 18, y = x - 6

Q: What is area between z = - 2.89 and z = -1.43?

A: We've to find, P(-2.89&lt;Z&lt;-1.43) =&gt; P(Z&lt;2.89)+P(Z&lt;-1.43)

Q: Find the area enclosed by the x axis and the curve y= 4-x2

A: Find the area enclosed by the x axis and the curve y= 4-x2

Q: Find the exact value of the area between the graphs of e for 0 < x < 1.9. y = 1 – x and y area =

A: Recall: Area=∫abf(x)-g(x)dx We have, a=0, b=1.9, f(x)=1-x, g(x)=ex

Q: Find the area between the curves x = y-1 and x =

A: Given:- x=y2 -1, x =2y2 -2 To find:- Area between given curves

Q: Approximate the area under the curve y

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

Q: 6. Calculate the area enclosed between y=x-4x2 – 5x and the x-axis.

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

A:

Q: Find the area between the CUoyes y=9-x² and y= -5

A: For any two curves f(x) and g(x) which intersect at points with x-coordinates a and b and bound a…

Q: Find the total area between y = 25 - x² and the x-axis for 0 < x≤ 6. Area

A: Given is the curve y=25-x2. The objective is to find the total area between this curve and x axis.…

Q: Find the area between y = 5x and y = 5/x. Round your answer to four decimal places.

A:

Q: Find the area bounded by f(x) = 4x − x2 and the x-axis. (In square units)

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Find the area between y = x^2 + 4, x = 1 and y = 0.

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Q: Solve for the area bounded by y = 2x - x2 and the x-axis.

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Q: Solve for the area beneath the curve y = -(x – 1)² + 10 and above the axis from x = -1 and x = 2.

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Q: Find the area bounded by the graphs of y = 3x2; x = 0; x = 2; and the x axis.

A: Given,

Q: Find the area between the Y=2x-x² and y=-x.

A: Given curves y=2x-x2 and y=-x We have to find the area between the curves.

Q: Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

A: We have to find the area between the curve y=x3-6x2+8x and the x-axis.

Q: Find the area under the graph of y=ex and above the graph of y=1 for 0 ≤ x ≤ 5.

A: The given function is: y=ex   ;     y=1

Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: The area of the region between the x-axis and the carve y = e¯ -3x for x >0 is

A: Formula:For y=fx; y≥0 area between the curve y=fx, x=a,x=b and x-axisA=∫ba fxdxGiven y=e-3x

Q: Find the area bounded by the line x-2y + 10 = 0, the x-axis, the y-axis and x=10.

A:

Q: Find the area included between x2+ y2= 4x and y2= x above x-axis

A: Find the area included between x2+ y2= 4x and y2= x above x-axis

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.

Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

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Q: Find the area bounded by y³ = x² and x-axis, from x = 0 to x = 8.

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Q: Find the area between y = (x - 3) eX and the x-axis from x = 3 and x 9.

A: Give that

Q: What is the area between z = − 0.84 and z = − 0.20? Use the z-table  Write and encircle your answer…

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Q: Solve the area bounded by the curve x=y^2 and the line y=x+1, y=2, and y=-2. Graph manually.

A:

Q: Find the area under the graph of y = 4x + 3, above the x-axis, between x = 1 and x = 4. (You can use…

A:

Q: Find the area represented by the definite int 8. x-2 dx

A: Given: ∫08x-2dx The mode function is defined as: |x|=-x if x&lt;0x if x≥0 Use definition of mode…

Q: Find the area under the curve  y= (2x2 - 7) / (sqrt(x)) ,   16 <= x <= 20

A:

Q: Find the area between y=ln(x-6) and y = (ln(x-6))2

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Q: Find the area between the curves x = 10 − y2 and y = x − 8

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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: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

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

Q: The area between z = −2.27 and z = 1.41 is .

A: P(-2.27&lt;z&lt;1.41)=?

Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

A:

Q: Find the area bounded by y = x^4 and the x-axis from x = -2 to x = 2

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Q: Find the area bounded by y=2%, y = 2x2, the y - axis and x = 1 Write your final answer in two…

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Q: Find the area bounded by y= x^2-2x and y= x. Also illustrate the graph

A: Topic = Area

Q: Find the area bounded by the curve f(x) = -x² + 7 and the x-axis. Give your answer correct to two…

A: We have to find Area bounded by the given curve and x-axis.

Q: Find the area bounded by the curver² = 8 c A. 8 sq. units

A: The given polar equation is r2=8cosθ  Put r = 0,

Q: y=9-x2 and ミ-4

A:

Q: Find the area the region lying between the x axis and the curve y=(ln(8x)-1)/x2 to the right of the…

A: Given curve is y=ln(8x)-1x2 Since region lying between x-axis and the curve to the right of the line…

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

A:

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.