Use a calculator to approximate the area of the surface generated when the given curve is revolved about the x-axis. Round to two decimal places when necessary. y= sinx on O 13.39 O 1.15 O 5.1

Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: Find the area of the shaded region in the following graph: y 2 y = sec? y = sin(4x) T/8 T/4

A: The figure is given by To evaluate : The area of the shaded region.

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. DRAW A…

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Q: Find the area enclosed by the curve. x = cost sts y = sin(2t) 2

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Q: dr If dt dA when r = dt Let A be the area of a circle with radius 5, find 4. r. | ||

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y =x2 4 In(x),…

A: Given curve is y=14x2-12ln(x) Differentiate with respect to x. dydx=x2-12x

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. Draw a…

A: For the solution of the problem follow the next steps.

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Q: You construct a tangent to clrcle O at polnt X on the clrcle, as shown below. What do you expect to…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 3sy54

A: Given:y=x3  ,     3≤y≤4Surface area :S=∫ba2πx 1+dxdy2   dy

Q: 2. Write down the name of the curves and shade the region that is inside of r = 8 and to the left of…

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Q: x² : 4ay from x 0 to x = 2a

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Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: Find the area enclosed by the following parametric curves and the y – axis. Find its exact area, no…

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Q: In 1 decimal place, find the surface area generated by rotating the first quadrant portion of the…

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Q: QUESTION 1 Find the area enclosed between the two curves y --r and = 8- 87 Oa-343/6 Ob 243/2 c. No…

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Q: Find the area of the surface generated when the indicated arc is revolved about the specified axis.…

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Q: Find the area enclosed by the given parametric curve. (Use a calculator to look at the graph.) y =…

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Q: dr dA when r = 4. dt Let A be the area of a circle with radius r. If = 5, find dt

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2…

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. y=x^2…

A: The given equation is y=x2 from x=0 to x=1. Find the area of the surface generated when the…

Q: Find the area enclosed by the given curves. y = csc 2 x, y = cot 2 x, » 7, and x = 00

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Q: Find the area between the curves (figure(1). r+ y = 2 y= x² figure(1).

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Q: c) Find the curve length of the lemniscate of the area Inside the lemniscate r² = 6 cos 20 and…

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Q: Find the area of the surface generated when the given curve is revolved about the y- axis. y =, for…

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Area of surface generated by a curve y=f(x) when revolved around y -axis  S=∫ 2πx dsWhere…

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x2 –…

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Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: What is the area of one petal of the curve r = sin 30 ? AA= sq. units A-3 sq. units B. C. A = π sq.…

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Q: Find the arc length of the graph of the function over the indicated interval. X = (y? + 2)3/2, 0sys…

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Q: Find the area between the curves y = e and y = ex (shown below) from x = 0 to x = 2. (Leave the…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to…

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Q: Q2/ Compute the exact area that is inside the circle (r = 14) and outside the petal of the flowered…

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Q: Find the area of the surface generated when the indicated arc is revolved about the x-axis.…

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Q: Find the area of the region in the first quadrant between the curve y = e* and the x-axis. O 2 lee

A: Area under curve is given by the following formula.  Area =∫0∞ydx

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A: Given y=112e6x+e-6x  ,for -2≤x≤2  Area of surface of curve when revolved about x-axis…

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +…

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Q: Find the area enclosed by the curve x=t - 2t, y = \t and the y-axis.

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Q: In 1 decimal place Find the Surface Area generated by rotating the first quadrant portion of the…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x2 –…

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Q: You construct a tangent to clrcle O at polnt X on the circle, as shown below. Suppose you choose…

A: For the following question,