A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y 49 – 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

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

A:

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

A:

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

A:

Q: Find the exact length of the curve. x = 8 + 12t2 y = 3 + 8t3 Osts 3

A:

Q: 7. Find the exact length of the curve: y = 1 + 6x³/², 0 < x < 1.

A: The length of the curve is calculated from the graph.

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

A:

Q: Find the exact length of the curve. y = 4 + 6x3/2, Osxs1

A:

Q: Find the exact length of the curve. y 1x²-1-In(x), = 4 2 1 ≤ x ≤ 8

A:

Q: Find all points on the curve 5x² + 8y² = 64 %3D

A: Given: The curve 5x2+8y2=64 where tangent line passes through the point (11, 0). To find: All the…

Q: Suppose that / (3x+-x²) dx=Ax³+ Bx³ +C, for constants A, B, C. What is the value of C if the curve…

A:

Q: Find the exact length of the curve. y = 4 + 4x3/2, osxS1

A:

Q: Find the exact length of the curve. y = 4 + 8x3/2, Osxs1

A:

Q: Find the exact length of the curve. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

Q: Find the length of the curve. x = 413. y = 612. 0 sts v8 %3D The length of the curve x = 4t°, y = 6t…

A: Given curve x=4t3,   y=6t2    0≤t≤8

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

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

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=x^2-1/8lnx for 1<=x<=3

A:

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

A: Please see the white board for the formua to calculate the length, L of the curve y = f(x), over the…

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

A: We have to find length of curve

Q: Find the exact length of the curve. 2. y = 3 x3/2 Osxs1

A:

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

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

Q: Find the length of the curve.  y = (9 - x^2/3)^3/2 from x = 1 to x = 27

A:

Q: The rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and…

A: Given that the rectangle shown here has one side on the positive y-axis,one side on the positive…

Q: Find the length of the curve Y = 4x^3/2 from x = 1 to x =8

A:

Q: Find the length of the curve. y= (16-x2/3)3/2 from x=1 to x=64

A:

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 exact length of the curve. y = 4 + 4x3/2, oSxS1

A:

Q: The region in the first quadrant bounded above by the parabola y = x², below by the x-axis and the…

A: Aa per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Find the length of the curve: - for 1< y<3. 3 4y 4. x=

A: As we know that the length of a curve x=f(y) is given by:- L=∫ab(f'(y))2+1dy

Q: Find the exact length of the curve y=x^4/4+1/(8x^2 ) , 1≤x≤2.

A: Given: The expression to calculate the length of a curve 'y=f(x)' is over the interval [a,b] is,…

Q: 4. A coastline is given by y2 = x+3 with the ocean being to the right of the curve. If a boat crew…

A: Solution

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

A:

Q: y² = x x-1

A: We have to sketch the following curves.

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

A:

Q: =r = 2 and r = 4cos.

A: Intersection points in polar coordinates given in the form as (r, theta).

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 shortest distance from the point (4,2) to the curve x^2 Зу^2 %3D 12 +

A:

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

A:

Q: Find the lengths of the curves y = x1/2 - (1/3)x3/2, 1 ≤ x ≤ 4

A:

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

A:

Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

A:

Q: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Fnd the x uterceptis) and the coordinates of the vertex for the parabola y=x+10x+25. If there is…

A:

Q: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

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

A:

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

A:

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

A:

Q: =+ dr x = 2 ke x = 3 16 2x2

A: