Solve the problem.The data below show the types of medals won by 25 State University students participating in the statewide science fair. Make a bar chart for the data.goldgoldsilvergoldbronzesilversilverbronzegoldsilversilverbronzesilvergoldgoldsilversilverbronzebronzegoldsilvergoldgoldbronzebronze
What will be an ideal response?
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Solve the problem.For a surface parametrized in the parameters u and v and a force F, show that 
d? = 
dudv.
What will be an ideal response?
Find an equation for the line tangent to the curve at the point defined by the given value of t.x = csc t, y = 9 cot t, t = 
A. y = -18x + 9
B. y = 3
x - 18
C. y = 18x + 3
D. y = 18x - 9
Find the first four terms of the binomial series for the given function.
-2/3
A. 1 - 
x + 
x2 - 
x3
B. 1 + 
x + 
x2 + 
x3
C. 1 + 
x + 
x2 + 
x3
D. 1 - 
x + 
x2 - 
x3
Solve the problem.A company that produces handbags has found that revenue from the sales of the handbags is $8 per handbag, less sales costs of $50. Production costs are $75, plus $7 per handbag. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes P > 0, that is, R - C > 0.(a) Write an expression for revenue, R, letting x represent the production level (number of handbags to be produced.)(b) Write an expression for production costs C in terms of x.(c) Write an expression for profit P, and then solve the inequality P > 0.(d) Describe the solution in terms of the problem.
A. (a) R = 8x - 50; (b) C = 25 + 9x; (c) P = (8x - 50) - (25 + 9x) = x - 75; x > 75; (d) To make a profit, more than 75 handbags must be produced and sold. B. (a) R = 8x - 50; (b) C = 75 + 7x; (c) P = (8x - 50) - (75 + 7x) = x - 125; x > 125; (d) To make a profit, more than 125 handbags must be produced and sold. C. (a) R = 8x - 50; (b) C = 75 - 7x; (c) P = (8x - 50) - (75 - 7x) = x - 75; x > 75; (d) To make a profit, more than 75 handbags must be produced and sold. D. (a) R = 8x + 50; (b) C = 75 + 7x; (c) P = (8x + 50) - (75 + 7x) = x - 25; x > 25; (d) To make a profit, more than 25 handbags must be produced and sold.