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A particle starts at the point (-4, 0), moves along the x-axis to (4, 0), and then along the semicircle y = √16 - x2 to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x, y) = ‹9x, x3 + 3xy2›.
A target heart rate T that is half a person's maximum heart rate is given by T=110 - 1/2A where A is a person's age.
7- Jensen Enterprises paid $1,300 in dividends and $920 in interest this past year. Common stock increased by $1,200 and retained earnings decreased by $310. What is the net income for the year?
The sales of a small company were $27000 in its second year of operation and $63000 in its fifth year. Let y represent sales in the xth year of operation. Find the slope of the sales line.
where tower A is due west of tower B. A fire is spotted from the towers, and the bearings from A and B are N 76 degrees E and N 56 degrees W, respectively. Find the distance d of the fire from the line segment AB.
" After solving a system of linear equations, how can you check your answer to determine whether it is correct? Demonstrate the process of checking an answer with an example."
A decision maker who is considered to be a risk taker is faced with this set of probabilities and payoffs. Rank the decision alternatives onthe basis of expected value.
The length of a rectangle is 6 times the width. If the perimeter is to be at least 98 meters, what are the possible values for the width?
what is the area of each triangle to the nearest tenth. In triangle ABC, a=326, c=157,M
The dimensions of a closed rectangular box are measured as 89 cm, 53 cm, and 35 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
An office supply company sells x mechanical pencils per year at $p per pencil. The demand equation for these pencils is p=10-0.001x. The total annual cost of manufacturing x mechanical pencils is C(x)=5000+2x.
Probability of speeding violations, A sample of 2000 licensed drivers revealed the following number of speeding violations
Show that the nonlinear differential equation is exact. Find an implicit solution of the initial value problem.
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