For the parametric equations given, use a graphing calculator to generate the curve over the stated interval for the parameter t. Use the window specified. Also, find a rectangular equation for the curve.x =
, y = 4t + 3, for t in [0, 4]
A.
The rectangular equation for the curve is
y = 3x2 + 4, for x in [-1, 2].
B.
The rectangular equation for the curve is
y = -3x + 19, for x in [0, 2].
C.
The rectangular equation for the curve is
y = -3x2 + 19, for x in [0, 2].
D.
The rectangular equation for the curve is
y = 4x2 + 3, for x in [0, 2].
Answer: D
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Solve the problem.A new exhibit is scheduled to open at the local museum. Museum officials expect that 5000 people will visit the exhibit in its first week, and that the number of visitors will drop by 10 people per week after the first week during the first 6 months. Find the total number of visitors expected in the exhibit's first 7 weeks.
A. 24,850 visitors B. 34,790 visitors C. 34,730 visitors D. 29,850 visitors
Find the sum of the infinite geometric series. +
+
+
+ ...
A. Does not exist
B. S = 25
C. S =
D. S = 5
Provide an appropriate response.It is estimated that service industries will grow at the rate of R'(t) = 5e1/(t+1) where t is the time in decades and R(t) is the percent of (non-farming) workers who are employed in the service industry. If 30 percent of the (non-farming) workers are now in the service industry, then use the trapezoidal rule and to approximate 30 +
the percentage of workers who will be working in the service industry in 2 decades.
Fill in the blank(s) with the appropriate word(s).
Solve the problem.A grocery store display of apples has a total of 17 rows. The bottom row requires 124 apples. Each successive row requires 5 less apples than the prior one. How many apples are required to build the display?
A. 2856 apples B. 1385.5 apples C. 1428 apples D. 2788 apples