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Consider the helix parameterized by h(t) = (kt, 4sin(t/5), 4 cos(t/5)).
a. Which axis does the helix wrap around?
b. Find a parameterization for the tangent line to the curve at t=5π/6 , assuming k=1.
c. Which value(s) of k make h(t) an arc-length parametrization?
In this problem we use the change of variables x = 5s + t, y = s - 2t to compute the integral ∫R(x + y) dA, where R is the parallelogram formed by (0, 0), (10, 2), (11, 0), and (1, -2). First find the magnitude of the Jacobian.
What is degree of polynomial and is it a monomial, binomial or trinomial? Find the quotient and remainder
The DNA molecule has the shape of a double helix. The radius of each helix is about 8 angstroms (1Å = 10-8 cm). Each helix rises about 33 Å during each complete turn, and there are about 2.9 108 complete turns. Estimate the length of each helix. (..
Consider a normal population with µ = 25 and Ï? = 8.0. Calculate the standard score for a value x of 23. Calculate the standard score for a randomly selected sample of 45 with X(line on top)= 23.
Final exam scores in a mathematics course are normally distributed with a mean of 66 and a standard deviation of 8. Based on the above information and a Z-table, fill in the blanks.
Assuming a company is selling guitar at its list price of 1,899.90, with a cash discount of 3/10, n/30 sales tax is 7% and shipping is 30.40. What is the final price if cash discount period was met?
Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set.
Find all the solutions for b equals the zero vector - Apply elimination and back substitution and write the LU factorization of the system. use b=Lc and c=Ux to solve the system.
You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat
a genetic condition is found that affects 10 of adults in the us population. in a city with 100000 that means that
Find what percent that increase is of the 2002 sales. b. What was the percent growth in Home Depot's sales from 2002 to 2006? Do all your work by using scientific notation.
Find the range of optimality for Cx, You are given a linear programming problem that has already been solved. The following conditions hold
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