1. Graph: 4x +5y = 10 slope y-int domain Give: range

Q: 4. If one uses the horizontal strip/element as a representative area, then the infinitesimal change…

A: You have posted the multiple question. I am answering the first one. Please post the question again…

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 bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the…

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Q: 4. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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Q: 3 Estimate x dx using right endpoints for n = 4 approximating rectangles. x² dx is approximately

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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: 19) The region in the first quadrant bounded on the left by the circle x2 + y2 = 1, on the right by…

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Q: 2. The area bounded by y=3x+4 and the curve y=x2 is revolved about the line x =5.

A: 2) The area bounded by the given curves is:

Q: 2. Find the length of curve of shaded region in the shape. y = x2 2.

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Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the…

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Q: y = 4/x, y- 4y + 2x = 5 and the line y = 4

A: Sketch the region and integrate in y variable.

Q: Determine the area bounded by the curves y = 6x − x2 and y = x2 − 2x and illustrate an accurate…

A:

Q: Graph the equations and shade the area of the region between the curves y = x3 and y = x2 − 7x over…

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Q: Find the area bounded by the curve 5y2 = 16x and the curve y2 = 8x − 24 and provide a correct and…

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Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

Q: 1. Find the area between the curves x2-y2 = 9 and the line y = 2x-6

A:

Q: Find the area of the region of the first quadrant bounded on the left by the y - axis below by the…

A: Given: X=2y^0.5 X=(y-1)^2 X=(3-y)

Q: Two curves having an equation of x = 2vy and y = 2Vx intersect each other. Compute the area between…

A: Solution:-

Q: Graph the equations and shade the area of the region between the curves x = −7 + y2 and x = 5y − y2.…

A: The given curves are: x=-7+y2     and     x=5y-y2

Q: The area of the region bounded by the curve y= e", the x-axis,'the y-axis, and the line x 2 is equal…

A: We have to find the area of the region bounded by the curve y=e2x , the x-axis, y-axis and the line…

Q: 2. Identify the following key features of y = 2x + 5. 6. Slope = y-int. = x-int. = 4- Domain = Range…

A: Given equation is: y=2x+5

Q: Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 2u)^(1/2).

A:

Q: (0, у)

A: Given that You are planning to close off a corner of the first quadrant with a line segment 17 units…

Q: Find the length of the curve y = ln(ex - 1) - ln(ex + 1), ln 2 ≤ x ≤ ln 3.

A: Given: y=lnex-1ex+1

Q: The area under the curve y = 2x bounded from below bythe x-axis and on the right by x = 4 is 16 3…

A: Given that the area under the curve y=2xwe need find the area below the x-axis and the right by x=4

Q: Find the area of the “triangular” region in the first quadrant that is bounded above by the curve y…

A: Consider the provided curve,  Bounded above by the curve y=ex2 and below by the curve y=e-x2. And on…

Q: Find the area of teh region bounded by y=5x/x2+2, x=1, x=5, y=0. Sketch the graph

A: We graph the region using a graphing calculator.

Q: 2. Find the area in the first quadrant bounded by the curve y = 3x – x³, the lines x = 0 and y = 2.

A: Given- y=3x-x3 To Find- The area in the first quadrant bounded by the above curve, the lines x=0 and…

Q: Find the area bounded by the curve x = y² + 2y and the line  x = 3.

A:

Q: The area bounded by the curve y = 14.x and the lines x = 4 and x = 6 above the x- axis is 364 square…

A: Area=∫ab(upper curve-lower curve)dx∫xndx=xn+1n+1+C

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

A:

Q: Find the area between the curves: y=x^3-11x^2+18x and y = -x^3+11x^2-18x

A: y=x3-11x2+18x and y=-x3+11x2-18xTo find the area between the curves:

Q: 2 Find the area of a triangle bounded by the y axis, the line f(x) = 8 – -x, and the line…

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Q: Find the area between the curve y = sec (4x) and the line joining the points (-,2) and (. 2).

A: Consider the given information: To find the area between the curve and the line joining the points.

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: 8) Find the area between the curves: y = x'-9x + 14x and y =-x +9x2 - 14x

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Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

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Q: 1.) Find the area of the region bounded by the parabola y = 2x and the line y = x - 4

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Q: What is the slope of the curve y = ex at x = ln 2? What is the area of the region bounded bythe…

A: Consider the curves, y=ex,x=ln2 Differentiating with respect to “x” then, dydx=ddxex=exTo  calculate…

Q: Find the equation of a horizontal line that equally cuts the area bounded by the curves 2y=x^2 and…

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Q: 1. find the area enclosed by the x-axis and the curve y= -x^2+9

A: The region enclosed by the x-axis and the curve y=-x2+9

Q: Find area of the region under the curve y=8−3x^2 and above the x-axis

A: First we find where y=8−3x2 cuts x axis. We set y=0 and solve for x

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: Find the area of the region between the curve y = √2x — 1 and the lines x = 1 and x = 5.

A: Given: The region between curve y=2x-1 and lines x=1 and x=5

Q: Find the area bounded by the given curves. y = 4x3 + 5 and y = 4x + 5        square units

A: We first sketch the area using a graphing calculator  There are two areas. They are symmetric. So…

Q: 14. (a) Find the area bounded by the curves y = 2x² and y = 4x. %3D (b) Two cars both start on a…

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Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: 4. Find the area of the region bounded by the parabola x=y^2 +2 and the line y=x-8 *

A: Given curves are x=y2+2, y=x-8 We have to find the area bounded by this region.

Q: Determine the area between the curves x 2 y2 and x + 15 y = 8. -2 -4 -6 -8 -10 -50 50 100 150 200…

A: This question is based on application of integration.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.