(b) A parallelogram has vertices at A(-3,0), B(-1,3), C (5,2) and D(3, –1). Find the area u- the parallelogram using the formula area = |AB x AD.

Q: Find the area of the region in the first quadrant bounded by the graphs of the equations r = 6 and r…

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Q: The area of the region enclosed by the graphs of y=x and y = x² – 3x + 3 is A в 1 D 2 14 E 3

A: Find the area between the curves

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A: I have appended the formula used in the solution part.

Q: The regions R, R,, and R, (see figure) are formed by the graphs of y = 2Vx, y = 3 - x, and x = 3. yA…

A: Now,

Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 21/2 square…

A: The given question has been solved in detail and option B is the correct answer.

Q: 13. Find the number b such that the line r = b divides the region bounded by the lines y = 1, y = 2x…

A: Please refer the attached image for complete solution. THANK YOU.

Q: i)Find the area of the region enclosed by graph of fx=x3-x2 and gx= 2x .

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Q: Find and graph the area of the region bounded by the curves, x=-6 ,  x=6 , the x-axis  and the…

A: region bounded by the curves, x=-6 ,  x=6 , the x-axis  and the parabola   x^2-4y-16 = 0.

Q: Use calculus to find the area of the triangle with the given vertices. (-1,1), (0,2) and (2,0)

A: The vertices are  (-1,1), (0,2) and (2,0)

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Q: Consider the region bound by the graphs of y=(1/7)x2 , y=26, x=10, and the first quadrent. The…

A: Given the region

Q: Find the area of the region between the graphs of y=17-x2 and y=-6x+10 over the interval -3<x<6.…

A: Consider the curves  y=17−x2y=−6x+10 Over the intervals -3≤x≤6

Q: Practice Question 8.3

A: (a) The given lines are,

Q: 1. Find the area of the trapezoid on the graph. T -7 -6 -5 -3 -2 -1 0 1 2 4. -2 -3 3. 1.

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Q: Find the area bounded by the parabola x = 8 + 2y − y^2 and the y axis and the lines y=-1 and y=3

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Q: Find the dimensions of the rectangle enclosed in the semicircley = V16-x with the largest possible…

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Q: Find c 0 such that the area of the region enclosed by the parabolas y- x- c and y = c-a2 is 100.

A: Given the region enclosed by the curve y=x2-c2 and y=c2-x2 To find the value of c such that area of…

Q: The area of the region enclosed by the graphs of y = x - 2x- 9 and y = x-9 is square units.

A:

Q: find the vertices of the parabola, points of intersection, and sketch the graph of the bounded…

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Q: The vertices of APQR are P(0, 0), Q(- 6, 0), and R(-6, 6). Find the area of APQR.

A: Given:

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A: First, find the point of intersections of given two equations:…

Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.

A: Given y2=5-xy2=4x

Q: The of the region enclosed by the graphs of y = x - 6x -2 and y = x-2 is_ area _square units. a.…

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Q: The shaded region between the graphs of y = -2x + 20 and y = 3z- 15 is displayed below in 25 H

A:

Q: The shaded region between the graphs of y 2x + 20 and y = 3x 15 is displayed below in 25 H -6 - Ax –…

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Q: The area of the region enclosed by the graphs of y = x - 2x -9 and y =x-9 is square units.

A:

Q: 23. The diagram shows the curve y = x2 – 6x – 2 and the line y32x-9, which intersect when x=1 and…

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Q: Find the area of the region described in the following.  The region bounded by y =  6x and y = 3x2 -…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find h so that the area of the region bounded by the graphs of y=x, y=8x and y=1/(x^2) is equal to…

A: solution is given below

Q: a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC = area ADEC…

A: Topic = Area

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A: First make the graph of the all the three curves and find the intersection points of the curve and…

Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-2, 2].…

A:

Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

A:

Q: 2. Find the hyperbolic area of the Euclidean square S with vertices (a, b), (a + h, b), (a, b + h),…

A: To find- Find the hyperbolic area of the Euclidean square S with vertices a, b, a+h, b, a, b+h and…

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Q: Find the length of y=e2x from x=0 to x=1.

A: Given that, y=e2x from x=0 to x=1.   The arc length is given by the formula, L=∫ab1+dydx2dx. Here,…

Q: 8x3 3, [8*(x^3)]/3 3 nd the value(s) of c such that the area of the region bounded by the parabolae…

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Q: Find the area of the region bounded by the graphs of the given equations. y = - 2x-x, y= - 8 The…

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Q: 7.5x A sketch of the region enclosed by y = x and y follows. x2 + 1 -3 -2 -3 Area of the region =

A: Let's find.

Q: Find the area of the region bounded by y = (1/8)(-x² + 6x + 7) and y = -6. Answer: Find the area of…

A: The two given curves are y=x2-4x and y=x2-x. The formula for integration is ∫xndx=xn+1n+1+c.

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Q: A. For numbers 1 and 2, find the vertices of the parabola, points of intersection, and sketch the…

A: Area between curves

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A:

Q: find he area of the region enclosed by x=y^3 and x=√ y-6.

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Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC = area…

A: Let's find.

Q: Find the area enclosed by the graphs of z+y = 4, z-- y = 0, y+3r = 4. 1. Area = sq. units 7 sq.…

A: Given, The equations  x+y = 4 ,  x-y =0  and   y+3x = 4 We have to find the area enclosed by the…

Q: Find the area of the region bounded by the graphs of the given equations. b) f(x)=2x2-6x+5,g(x)=x2+…

A: See below the answer and calculation