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Find the derivative of the function f(x) = (3 x + 1)^4(9 - 3 x^2)^{3/2}.
The differentiation
Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is the following. F=(GmM)/r^2
Determine the width of a river that flows due east, if the surveyor finds that a tree on the opposite bank had a bearing of 22 30 E from a certain point and bearing N 15 W from a point 400 feet downstream.
Use the Taylor Series for 1/(1-x) to find the Taylor Series of 1/(1+x) about x = 0 and its Interval of Convergence. Use the result of part (i) to find the Taylor Series of ln(1+x) about x = 0 and its Interval of Convergence.
The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 106 cm2, what is the length of the diagonal.
A man rows a boat 550 feet upstream against a constant current in 10 minutes. He then rows 325 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
what was the percent of sugar in the solution?
if five angles of a heptagon have measures of 80, 85, 175,90,and140 and if the other two angles are congruent what is the measure of each of the other two angles.
Which of the following indicates how many observations fall into various categories?
Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree
What is the area of the shaded region below? Assume the hexagon is regular. Use your calculator and round your final answer to the nearest hundredth.
what is the approximate power of each of the following planned studies all using a t-test for independent means at the
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