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One rope pulls a barge directly east with a force of 82 N and another rope pulls the barge directly north with a force of 57 N. Find the magnitude of the resultant force acting on the barge.
Please evaluate the following integral using the formula for integration by parts, Please show detailed solution, including substitution(s) used.
A textbook store sold a combined total of biology and sociology textbooks in a week. The number of biology textbooks sold was two times the number of sociology textbooks sold. How many textbooks of each type were sold.
A 64 inch wire is to be cut. one piece is to be bent into the shape of a square, whereas the other piece is to be bent into the shape of a rectangle whose length is twice the width. find the width of the rectangle that will minimize the total.
Translate this verbal sentence into a mathematical sentence: The difference between six and twice a number is 4 more than the number.
Use differentials to estimate the decrease in the number of housing starts when the mortgage rate is increased from 12% to 12.5%.
the turkeys found in a particular county have an average weight of 15.6 pounds with a standard deviation of 4.0
Find the volume of the solid obtained by rotating the region bounded by Y=1/x^2 , y=0 , x=1 ,x=3 ,about the line x=0 .
determining the maximum area of a norman window with the fixed perimeter of 16 feet.anorman window is constructed by
Calculate the distance traveled by the prey from the time it is dropped until it hits the ground. Express your answer correct to the nearest tenth of a meter.
The spot rate of the British pound to the dollar is 1.68 ($/£). The 180 day forward rate is $1.71, what is the annualized forward premium?
Solve. Write ratios as fractions in simplest form. For one month, a family spent $320 for food and $480 for rent. Find the ratio of the DIFFERENCE of the amount spent for food to the amount spent for rent.
Let vector r(t) = t i + t^2 j represent a plane curve. Find T(t), T(1) and N(1). Sketch the plane curve and graph the vectors T(1) and N(1) at the point t = 1.
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