7. Find the rectangle of largest area that can be inscribed under f(x)-9-x and above theX-axis. r...
(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).
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)
10. (5 points) You want to maximize the area of an inscribed rectangle under the line 4 in the FIRST quadrant with the x-axis and the y-axis. Find the measurements of such rectangle so that you can have maximum area. Please draw the picture of the problem on X-y coordinate system to receive full credit. Yx) = -x +
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.
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.
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11-2P. What are the dimensions of such a rectangle with the greatest possible area? Width- Preview Height- Preview
8. (8 points) Use calculus to find the dimensions of the rectangle of largest area that can be inscribed in the region bounded by x+y=1, and the positive r and y axes. 0.8 0.6 0.4 x + y = 1 0.2 0.5
Q-3:a) A rectangle is to be inscribed in a semicircle of radius 2 m. What is the largest area that the rectangle can have and what are the dimensions. (10 marks) 0-4: Draw a graph of f(x) (15 marks)
6. The curve y = ex, the x-axis, the y-axis and the vertical line x = 4 bound a closed region. Find the dimensions of the largest (area) rectangle that can be inscribed in this region with one of its sides on the x-axis (see given figure). X=4
f(x) = 3/x+4, from x = 1 to x = 9 Approximate the area under the graph of f(x) and above the X-axis with rectangles, using the following methods with n=4. (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and (b) (d) Use midpoints. The area, approximated using the left endpoints, is _______ (Round to two decimal places as needed.)