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(11 points) The cost of a box with a rectangular base is given by C(x) =...
SECTION 3.5: EXERCISES 1.) Suppose you want to construct a rectangular box with no lid that...
SECTION 3.5: EXERCISES 1.) Suppose you want to construct a rectangular box with no lid that is to hold 580 cubic inches of volume. The cost of the material for the sides is $0.10 per square inch, while the cost of the material for the base (made of a sturdier and more expensive material) is $0.25 per square inch. If the base is to have a length that is twice the width, what dimensions will minimize the total cost of...
(15 points - 3 points each) A rectangular storage container with open top is designed to...
(15 points - 3 points each) A rectangular storage container with open top is designed to have a volume of 10 cubic meters. The length of its base is twice its width. Assume the material for the base costs 10 dollars per square meter, and the sides 6 dollars per square meter. Assume also you wish to minimize the cost of a container of that volume. (a) Draw a sketch of the situation. (b) Write down the function to be...
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex...
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...
I'm not sure about b,c,d. Is there anyone can help with this question? A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base...
I'm not sure about b,c,d. Is there anyone can help with this
question?
A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0)4 metres. The volume of water is given by Vt)(t) Over time, the sides of the base are decreasing ata ateof0.05 m/s and the water is leaking from...
need help with c-h please! 3/11 points| Previous Answers The total revenue and total cost functions...
need help with c-h please!
3/11 points| Previous Answers The total revenue and total cost functions for manufacturing Items are: TR(g)-5q2+80q and TC(Q)-q3-12q2+60q+60, where q is measured in hundreds of Items and total revenue and total cost are given in hundreds of dollars (a) Determine the quantity at which marginal revenue is 68 dollars per Thing 12/10 hundred Items (b) Find the largest interval on which total revenue is increasing from q- 0 to q8 hundred Items (c) Find the...
(A) Find the slope of the line that passes through the given points. (B) Find the point-slope form of the equat...
(A) Find the slope of the line that passes through the given points. (B) Find the point-slope form of the equation of the line. (C) Find the slope-intercept form of the equation of the line. (D) Find the standard form of the equation of the line. (5,6) and (5,12) (A) Choose the correct answer for the slope below. OA, m=□ (Type an integer or a simplified fraction.) O B. The slope is not defined. A plant can manufacture 50 golf...
SECTION 3.5: EXERCISES 1.) Suppose you want to construct a rectangular box with no lid that is to hold 580 cubic inches of volume. The cost of the material for the sides is $0.10 per square inch, while the cost of the material for the base (made of a sturdier and more expensive material) is $0.25 per square inch. If the base is to have a length that is twice the width, what dimensions will minimize the total cost of...
(15 points - 3 points each) A rectangular storage container with open top is designed to have a volume of 10 cubic meters. The length of its base is twice its width. Assume the material for the base costs 10 dollars per square meter, and the sides 6 dollars per square meter. Assume also you wish to minimize the cost of a container of that volume. (a) Draw a sketch of the situation. (b) Write down the function to be...
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...
I'm not sure about b,c,d. Is there anyone can help with this
question?
A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0)4 metres. The volume of water is given by Vt)(t) Over time, the sides of the base are decreasing ata ateof0.05 m/s and the water is leaking from...
need help with c-h please!
3/11 points| Previous Answers The total revenue and total cost functions for manufacturing Items are: TR(g)-5q2+80q and TC(Q)-q3-12q2+60q+60, where q is measured in hundreds of Items and total revenue and total cost are given in hundreds of dollars (a) Determine the quantity at which marginal revenue is 68 dollars per Thing 12/10 hundred Items (b) Find the largest interval on which total revenue is increasing from q- 0 to q8 hundred Items (c) Find the...
(A) Find the slope of the line that passes through the given points. (B) Find the point-slope form of the equation of the line. (C) Find the slope-intercept form of the equation of the line. (D) Find the standard form of the equation of the line. (5,6) and (5,12) (A) Choose the correct answer for the slope below. OA, m=□ (Type an integer or a simplified fraction.) O B. The slope is not defined. A plant can manufacture 50 golf...
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