Solve the problem.In 1990 the number of factory pollution incidents reported in Country X was 7500. This number had decreased roughly at a rate of 440 per year since 1982. (i) Find an equation of a line
that describes this data, where y represents the number of pollution incidents during the year x. (Answers may vary.) (ii) Estimate the year when there were approximately 8250 incidents.
A. y = -440(x - 1988) + 7500; 1986
B. y = -440(x - 1982) + 7500; 1980
C. y = -440(x - 1990) + 7500; 1988
D. y = -7500(x - 1990) + 440; 1983
Answer: C
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Solve the problem.A rock falls from a tower that is 78.4 m high. As it is falling, its height is given by the formula with t in seconds. How many seconds will it take for the rock to hit the ground (h = 0)?
A. 1254.4 sec B. 8.6 sec C. 8.9 sec D. 4 sec
Find the derivative of y with respect to x, t, or ?, as appropriate.y = ln 4x
A. -
B. -
C.
D.
Solve the problem.f(x) = is defined on the interval
.(a) Approximate the area A under the graph of f by partitioning
into three subintervals of equal length and choose u as the left endpoint of each subinterval.(b)Approximate the area A under the graph of f by partitioning
into three subintervals of equal length and choose u as the right
endpoint of each subinterval.(c)Express the area A as an integral.(d)Use a graphing utility to approximate this integral to three decimal places. What will be an ideal response?
Divide using synthetic division.(x5 - 243) ÷ (x - 3)
A. x4 + 3x3 + 9x2 + 27x + 81 +
B. x4 + 3x3 + 9x2 + 27x + 81
C. x4 + 3x3 + 3x2 + 3x + 3
D. x4 - 3x3 + 9x2 - 27x + 81