Consider the trapezoid whose bases are the left and right sides of the shaded region. The trapezoid has a longer base of length a = a shorter base of length b=[ The value of the integral found in the previous step is slightly than the area of and a height of h=, so the area of the trapezoid is the trapezoid, as the figure suggests it should be. (Simplify your answers.)

Q: Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and +2y-8=0. A. 11.7 B. 4.7 C. 9.7…

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Q: Find the larger area formed by x2 + 3y2 + 7x = 3 and 2x2 - 6y = 5. .

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Q: Consider the segment of the parabola ƒ1x2= x2 on the interval 30, 24. a. Write the integral for the…

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Q: 2. Find the area of the plane figure bounded by the curves. Plot the graphs of the given functions,…

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Q: 6.Find the area for a circle that has a radius of 4x3y3

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Q: Xy =1 y=x, x-2 , y=0

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Q: The area of the triangle formed by the tangent and the normal to the parabola y = 4ax both drawn at…

A: Given  the parabola y² = 4ax both drawn at the same end of the latus rectum and the axis of the…

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

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x)…

Q: If b = 6 cm, c = 3 cm, h = 6 cm, and a = 2 cm, the centroid of the area about x axis is equal to:…

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Q: Determine the area enclosed by the curve r²=4sin(20).

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: 5. Find the area of the surface formed by revolving the graph of y = √√x + 2 from x = 1 to x = 8…

A: Area surface generated by rotating a curve y= f(x)  in interval [a,b]  about x- axis  A=∫ab2πyds…

Q: If h(x) = (f.g)(x) and f(2) = 5, f'(2) = 3, g(2) = 1, g'(2) = -1 Then h' (2) = -20 - 7 – 2 - 6

A: Given  h(x) =(f.g)(x) And f(2)=5,f'(2)=3 g(2)=1,g'(2)=-1

Q: There is a line through the origin that divides the region bounded by the parabola y = 3x – 4x² and…

A: we have been given the parabola y=3x-4x2 to find the points put 3x-4x2=0⇒x(3-4x)=0⇒x=0, 34…

Q: Find the area of the region in the 2nd quadrant which is bounded by the parabola y = x² + 1 and the…

A: Given:1. The parabola equation: .2. The line equation: To find:The area of the region in the 2nd…

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: Find the areas enclosed by the parabolas y = x² and y = 2x - x²

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Q: For #1 and =2, find the area of the shaded region. No calculator, show all work 1) (1.1) 2) +y=2

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