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Question - Let R = xi + yi and dR = dxi + dyj.
(a) Compute the magnitude of the vector cross product R x (R + dR).
(b) Thus, give a direct geometrical interpretative of the integrand of equation ∫c½(xdy - ydx) = A. (Hint: Consider the triangle with the following vertices (0, 0), (x, y) and (x + dx, y + dy).)
Calculate the angular speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per minute. Use π = 3.14. Round to the nearest whole number
About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizations. How much was given to charities in general?
Find the moment of inertia with respect to its axis of the solid generated by revolving the region bounded by y = ex, x =1, and the coordinate axis.
Factor polynomial and state the multiplicity of each zero - Use the factor theorem to find P(x)
write your answer in words, labeling units as necessary. Hank bicycles 5 km/hour slower than Kelly. In the time that it takes Hank to bicycle 42 km, Kelly can bicycle 57 km. How fast does each bicyclist travel?
The amount of time available on machine A is 360 hrs and on machine B is 260 hrs. Formulate the LP problem, which when solved, would indicate the number of product 1 and 2, which should be sold in order to maximize total contribution for the compa..
Within the context of Discrete mathematics please assist in answering the following questions:
The circumference of a sphere was measured to be 85.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area
Find a single 3 × 3 matrix A for which all of the following properties are true: a) The kernel of A is the line spanned by the vector $vec{v_1} = begin{bmatrix}1\1\1end{bmatrix}$
An election with four candidates (A, B, C, and D) and 200 voters will use the Plurality Methodto choose a winner. How many first-place votes are needed.
How many tickets should be sold at each price for a sellout performance to generate a total revenue of $144500
Assume the governmental agencies requested estimates of the mean attitudes towards each borough with a margin of error of 0.05 for each borough. If the governmental agency personnel want to have 95% confidence that the sample mean will fall within..
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