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Consider the spiral given parametrically by
x(t) = 3e-0.3t sin (6t)y(t) = 3e-0.3t cos(6t)
on the interval 0 ≤ t ≤ 6.
a. Fill in the expression which would complete the integral determining the arc length of this spiral on 0 ≤ t ≤ 6.
b. Determine the arc length of the given spiral on 0 ≤ t ≤ 6.
c. Now determine the arc length of the given spiral on [0, ∞).
a man deposits $500 in a savings account with a 5% annual interest. At the end of ten years how much money will be in the account?
Determine forecasts value
How much did it cost, per person screened, for the initial cholesterol testing? Remember that each provider on site incurs costs to travel form the health department to the site and back.
Find the range of the sets (a) 12, 6, 7, 3, 15, 10, 18, 5
a carpenter wants to bolts two long boards together for strength . the boards are 288 inches long. by mistake he tells
a woman 6 feet tall walks at a constant rate of 5 feet per second away from a light that is 15 ft. above the ground.
using the substation Method or elimination Method. If you can show the work on how to solve these problem.
two car models are tested for a difference in average gas mileage. ten cars of model a averaged 32.1 miles per gallon
Compute a 3-month moving average forecast for months 4 through 9. Compute a weighted 3-month moving average forecast for months 4 through 9. Assign weights of 0.55, 0.35, and 0.10 to the months in sequence, starting with the most recent month
a manger of small firm is considering whether to produce a new product that would require leasing equipment at 20000
(a) Compute the gradient vector of f at the point (0, 0). (b) Find the directions in which the directional derivative of f at (0, 0) has the value 1
A rectangular carpet has a perimeter of 218 inches. The length of the carpet is 87 inches more than the width. What are the dimensions of the carpet?
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