3. A rectangle has its base on the x-axis and it upper two vertices on the...
Please do both 3. A rectangle has its base on the x-axis and it upper two vertices on the parabola y = 12 - x? What dimensions will maximize the area of the rectangle? 4. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere with radius 8 inches? OE (S! R4 135=61 rta 64 - 4
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
all of them please CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex of the triangle is at the point (O.y), where y > 0, and the remaining two vertices are at the points (x, 0) and (-x,0), where x > 0 (see figure). The area of the triangle is 120 in? This triangle lies inside a bigger isosceles triangle that also has its base on the x-axis. The apex of the bigger triangle is at the...
2. (a) Find the area of the region bounded by the parabolas y 6z - 2 and y 22 (b) (Optional) Find the area of the region between the curves y2 and y - 22".. over the interval [0,2. 2 36 3. (Review) Evaluate the limit lim 4. (Review) A rectangle has its base on the z-axis and its two upper vertices on the curve y 5-x4. What is the largest area the rectangle can have? 2. (a) Find the...
2. The area of a rectangle with vertices (±x, ±y) is 4xy. Use Langrange multipliers to find the maximum area of such a rectangle with vertices on the ellipse 4x 2 + y 2 = 32 2. The area of a rectangle with vertices (trty) is 4xy. Use Langrange multipliers to find the maximum area of such a rectangle with vertices on the ellipse 412 + y2-32. 2. The area of a rectangle with vertices (trty) is 4xy. Use Langrange...
concisely working please the correct answer is A 2x is the base of a solid. For the solid, each cross section andy 23. The region enclosed by the graphs of y dicular to the y-axis is a rectangle whose height is 3 times its base in the xy-plane. Which of the llowing expressions gives the volume of the solid? Jo 3 (2x x) dx 3「(2x+x2)2 dr + x (D) 2x is the base of a solid. For the solid, each...
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
Two -3.00 nC point charges occupy the two lower vertices of a rectangle that is 6.00 cm wide and 8.00 cm tall. Two -1.00 nC point charges occupy the upper two vertices. Determine the magnitude and direction of the electric field at the center of the rectangle (Answer: 11520 N/C downward) What would be the magnitude and direction of the electric force acting on a -3.00 nC point charge placed at the center of the square? (Answer: 3.46 x 10-5...
1) Problem 12 The area of the region bounded by the parabola x y-3) and the line y x is Problem 13 The base of a solid S is the parabolic region [(x.y):x s y S 1). Cross-sections perpendicular the y-axis are squares. Find the volume of the solid S 1) Problem 12 The area of the region bounded by the parabola x y-3) and the line y x is Problem 13 The base of a solid S is the...