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Find parametric equations for the following.
a. A line from the point P = (2, -3) to the point Q = (-4,12) along which a particle moves at a constant speed in 3 seconds.
b. A semicircle from (-2, -1) to (-2, 5) along which a particle moves counterclockwise at a constant speed of 15 units per second
What is the magnitude of the tension on the ends of the clothesline?
State the null & alternative hypotheses in words
What year is it in Japan right now. This is a Math question and I believe it has something to do with with change in Calendar systems and the fact Japan drops a month.
(1) A right circular cone has a base of radius 1 and height 3. A cube is inscribed in the cone so that one face of the cube is contained in the base of the cone. What is the side-length of the cube?
The cost C for ordering and storing x units is C = 7x + 500,000/x. What order size will produce a minimum cost?
Why did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model?
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
(1) Prove or disprove the following: a: n^7-n is divisible by 7 b: n^9-n is divisible by 9 (2) Prove that a^3+b^3+c^3 is greater than or equal to 3abc (3) Find 1000 consecutive composite integers.
There are 1000 students in the senior class at a certain high school. The high school offers two advanced placement math / stat classes to seniors only:
An executive invests $28,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1540, how much is invested at each rate.
how do i write the formula for the following problem: the width of a window is 8 less than 3 times the height. The total amount of wood needed is 272 inches. what is the width and height of the window.
Estimate the number of replications needed to reduce the half width of each con?dence interval by 25 percent. Run the additional replications for each system and compute new con?dence intervals using a 0.10 level of signi?cance.
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