A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y= 16 – x². For all such rectangles, what are the dimensions of the one with largest area? NOTE: Enter the exact answers. width of rectangle height of rectangle %3D

Q: If the given curve 6y = x + 9x2 + 12, what are its minimum and maximum points of the curve? Show…

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Q: Find the exact length of the curve.   y= 2/3x3⁄2,    0 ≤ x ≤ 4

A: Given query is to find the length of the curve for the interval.

Q: nd the exact length of the curve. y = 3 1. 4x 1sxs2

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Q: Find the length of the curve x= 4y +- from y = 1 to y = 3. w/ The length of the curve is (Type an…

A: We find dx/dy using the power rule.

Q: Find the exact length of the curve. 0 < x < 6 %3D 3

A: Given:   To determine: Exact length  of the curve     Concept: Exact length of the curve y = f(x)…

Q: Find the length of the curve y = 3/2 from a = 0 to a = 3.

A: Given curve is y=43x32   Length of the curve is L=∫ab1+dydx2      ......1 Here given a=0 and b=3 and…

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length 1. Show that one can…

A: To solve this problem we use the Pigeonhole principle . Pigeonhole principle : If there are m holes…

Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: The area of a parallelogram bounded by the y-axis, the line x=6, the line f(x) =6+2x, and the line…

A: The line parallel to y = 2x +6 will be of the form y = 2x + k…

Q: find the length of the curve 3/8 (x^4/3 - 2x^2/3) x = 1 to 8

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Q: Find the exact length of the curve.

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Q: Find the length of the curve y = x2, 0 ≤ x≤√3/2.

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Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

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Q: 2. Consider any five points P1, Ps in the interior of a square S of side length ... 1. Show that one…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Find the exact length of the curve. 1sys2 8. 4

A: Solve the given

Q: Find the exact length of the curve. y=3+8x3/2, 0 less than or equal to X less than or equal to 1.

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Q: Suppose that |(3x4-x2) dx=Ax+Bx³+C, for constants A, B, C. What is the value of C if the curve…

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Q: The graph of g consists of two straight lines and a semi -circle. Use it to evaluate each integral.…

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Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Find the length of the curve y= 3/2x^2/3 from x = 1 to x = 8

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

Q: Find the exact length of the curve. y = 3 2x3/2, 0 < x < 6

A: We have to find length of curve

Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤l

A: Given curve is y=2 + 2x32,  0≤x≤1 The objective is to evaluate the exact length of the curve. Length…

Q: Find the lengths of the curves x = y2/3, 1 ≤ y ≤ 8

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Q: d the exact length of the curve. y = 1 + 8x3/2, Osxs1

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Q: x = t³, y = t²,0 <t < v3

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Q: y= In x

A: Given function is y=x/ln(x)

Q: (1) Find a point P in the first quadrant on the curve f(x) = such that the rectangle with sides on…

A: In the question we have to find the perimeter of the rectangle.

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: Find the length of the curve. t,0stsV3 The length of the curve x = t°, y= ť on 0sts 3 is (Type an…

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Q: Find the area of the largest rectangle that can be inscribed in the region bounded by the graph of…

A: Given: y = 4-x2+xArea of the rectangle = xyA = x(4-x2+x)= 4x-x22+x

Q: The area, in square units, bounded by the curves y = x² + 4 and y = 3x +4 is Your answer

A: Consider the given curves. y=x2+4 and y=3x+4 Put the both curve equal to find the limit.…

Q: Find the length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

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Q: y = 2x-3 2 x² + 4

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Q: The graph of g consists of two straight lines and a semi -circle. Use it to evaluate each integral.…

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Q: Find the exact length of the curve. x3 y = 1 + 4x 1< x < 3 3.

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Q: y² = x x-1

A: We have to sketch the following curves.

Q: Find the exact length of this curve : to y= 16 2x² |<x<2

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Q: Find the length of the curve, L. y² = 4 (x + 5)* , 0 0

A: To find the length of the given curve

Q: Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

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Q: Find the exact length of the curve. y = 3 + 8x3/2, 0<x<1

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Q: Find the exact length of the curve. x3 y = 1 < x < 2 %3D 4x

A: y=x33+14x  ,  1≤x≤2.

Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

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Q: The graph of x + z² = 1 is an ordinary right circular cylinder. Indicate axis of the cylinder lies…

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Q: The region in the first quadrant bounded above by the parabola y = x ^ 2 below by the x -axis, and…

A: Follow the steps.

Q: Find the lengths of the curves y = 2/3 x3/2 - 1, 0 ≤ x ≤ 1

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Q: Find the exact length of the curve. V=5+8x3/2 0<x<1

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Q: Find the length of the curve. 3 y =x4/3 - 2x2/3) from x = 1 to x = 64 %3D

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Q: Find the exact length of the curve. x3 4x' У 1 < x < 2

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