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8. (8 points) Use calculus to find the dimensions of the rectangle of largest area that...
(1 point) Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. List the dimensions in non-decreasing order (the answer may depend on r).
Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse = 1 with sides parallel to the coordinate axes Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-acis.
1. Find the dimensions of the largest rectangle that can be inscribed in the right triangle ABC show in the illustration. A (0, 9) (x, y) 0 8 (12, 0)
Maximum perimeter rectangle Use Lagrange multipliers to find the dimensions of the rectangle with the maximum perimeter that can be inscribed with sides parallel to the coordinate axes in the ellipse x2/a2 + y2/b2 = 1.
A rectangle with sides parallel to the coordinate axes is inscribed inthe ellipsex2/a2 + y2/b2 = 1:Find the largest possible area for this rectangle.
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5 sin(x), y 5 cos(x), OS XS/4; about y = -1 V- Sketch the region. 2 1 -1.0 -1.5 -0.5 0.5 1.0 -0.4 -0.2 0.2 0.4 0.6 0.8 1.0 4 3 3 2 2 1 1 -0.5 0.5 110 102 2 04 La Sketch the solid, and a typical disk or washer. y 6 -0.4 -02 0.2...
7. Find the rectangle of largest area that can be inscribed under f(x)-9-x and above theX-axis. radvea ans) 7. Find the rectangle of largest area that can be inscribed under f(x)-9-x and above theX-axis. radvea ans)
11 please 11. [10pts.] Find the dimension of the rectangle of the largest area that can be inscribed in a circle of radius r. Find critical number(s) and apply the second derivative test.
ou have 1 day remaining in your WebAssign Grace Period. Get Access Today. 012 points 1 Previaus Answers SCalcET8 6.1.520 XP Sketch the region enclosed by the givei curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. 4x2, y 6x2. 5x y 6, x 20 y= y 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 0.2 0.4 0.6 0.8 1.0 1.3 0.2 0.4 0.6 0.8 1.0 13 / Typetiere...
PLEASE do them all Use the rectangles in the following graph to approximate the area of the region bounded by y cos x, y 0, x-. and x 0.8+ 0.6+ 0.4+ 02+ 0.522 1.568 -1.57 -0.524 1.57 0.001 1.045 -1.047 3.1400 1.5700 0.7850 1.1775 2.0933 Use the rectangles in the graph given below to approximate the area of the region bounded by y y 0, x 1 , and x= 4. Round your answer to three decimal places. 7 6...