Question: Questions for calculus Q1 (3 marks ) Find two positive numbers such that their product is 192 and the sum of the first plus three

Questions for calculus

Q1 (3 marks ) Find two positive numbers such that their product is 192 and the sum of the first plus three times the second is a minimum.

Q2 (4 marks) A rectangle has its base on the x-axis and its upper two vertices on the parabola y=12-x^2. For all such rectangles, what are the dimensions of the rectangle with the largest area?

Q3 (4 marks) Given the cost function C(x)=1280+4x+0.02X^2, and the demand function p(x)=20+80/x, find the number of units produced in order to have maximum profit. (Be sure to confirm that this is a maximum )

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find...

Q:

1. [-/3 Points] DETAILS LARCALC11 3.5.012. Find lim h(x), if it exists. X - 00 f( x ) = 3x1 (b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a...

Q:

1. [-/3 Points] DETAILS LARCALC11 3.5.012. Find lim h(x), if it exists. X - 00 f( x ) = 3x1 (b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a...

Q:

1. [-/3 Points] DETAILS LARCALC11 3.5.012. Find lim h(x), if it exists. X - 00 f( x ) = 3x1 (b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a...

Q:

12. [1'2 Puintsl I DETAILS I LARCALCH 3.1'D11. Find the length and width of a rectangle that has the given perimeter and a maximum area. Pen'meter: 212 meters :m :m Need Help? 13. [42 Paints} DETAlLS...

Q:

Graphing: PS 1 For 1 - 5 , f (x) = -= (x3 - 3x + 2) = -=(x -1)2(x+2) 1. find the x and y intercepts. a) x = 1, -2; y = - b) x = -1,2; y = - WIN c) x = -;y = 1, -2 d) x = 1, -2; y = 2 2. find the...

Q:

Find two positive numbers such that their product is 192 and the sum of the first plus three times the second is a minimum.

Q:

Complete the following problems: 1. For the function f(x) = 4x3 - 24x2 - 60x (a) Find the critical numbers of f (if any); (b) Find the open intervals where the function is increasing or decreasing;...

Q:

Find two positive numbers such that their product is 192 and the sum of the first plus 3 times the second is a minimum.

Q:

QUESTION 1 A farmer has 500 yards of fencing and wishes to fence three sides of a rectangular field (the fourth side is along an existing stone wall, and needs no additional fencing). Find the...

Q:

Convert the following to appropriate SI units: (a) A length, l = 5 ft. (b) A stress, = 90 kpsi. (c) A pressure, p = 25 psi. (d) A section modulus, Z = 12 in3. (e) A unit weight, w = 0.208 lbf/in....

Q:

MGR Corporation expects to pay dividends in year 1. After year 1, the dividends will grow at a constant rate of 10% forever. If the company's intrinsic value is $55 and the required return is 15%....

Q:

3. (True/False): The 32-bit Str_length procedure uses SCASB to find the null terminator at the end of the string.

Q:

1. State the following for the MC: Has absorbing states? If yes, which ones? Which nodes are accessible for nodes 1,2,3 & 4? Which are the classes in this MC 2 0.7 3 0.3 0.6 0.5 1 1 0.4 0.5

Q:

Subjective norms, i.e. the norms of the target group

Q:

The temporal rule: The closer temporal proximity we have to an event or action, the more probable it is that the distortion of information is less than if the event or action happened longer ago.

Q:

The relevance of the information to the interpreter