Provide an appropriate response.For x > 0, sketch a curve y = f(x) that has f(1) = 0 and f'(x) = - 
. Can anything be said about the concavity of such a curve? Give reasons for your answer.
What will be an ideal response?
Since f"(x) = 
> 0 for all x > 0, then the function is everywhere concave up.
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Find the first three nonzero terms of the Maclaurin expansion of the given function.f(x) = 
A. 1 + 
x - 
x2 + ...
B. 1 + x - x2 + ...
C. 1 + 
x2 - 
x4 + ...
D. 1 + 
x - 
x3 + ...
Provide an appropriate response.Write another multiplication equation and two division equations that are equivalent to 
A. (-45) ? (-10,320) = 464,400; 464,400 ÷ 45 = -10,320; 464,400 ÷ (-10,320) = 45 B. (-10,320) ? (-45) = -464,400; (-464,400) ÷ (-45) = -10,320; (-464,400) ÷ (-10,320) = -45 C. (-10,320) ? (-464,400) = 45; (-10,320) ÷ 45 = -464,400; 45 ÷ (-10,320) = -464,400 D. 45 ? (-10,320) = -464,400; (-464,400) ÷ 45 = -10,320; (-464,400) ÷ (-10,320) = 45
Convert as indicated. When necessary, round to the nearest tenth of a degree.A weather forecaster has predicted a high temperature of 21° C for tomorrow. Find this temperature in degrees Fahrenheit.
A. 43.7° F B. 5.8° F C. -20.3° F D. 69.8° F
Solve the problem. Round your answer to three decimals.What annual rate of interest is required to triple an investment in 7 years?
A. 16.993% B. 8.497% C. 10.409% D. 15.694%