1. Find the dimensions of the largest rectangle that can be inscribed in the right triangle...
(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).
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
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)
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)
Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 80 cm. What is the maximum volume? Express the volume of a right circular cylinder inscribed in a sphere of radius 80 in terms of the cylinder's height, h. V(h)= (Type an exact answer, using n as needed.)
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.
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.
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 given rectangle is inscribed in the parabola as shown here. a. Find the coordinates of the point (x,y) that will maximize the area of the rectangle (absolute max). (x, y) b. Find the maximum area.
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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.