Match the vector equation with the correct graph.
r(t) = 
ti +(2 - t)k; 0 ? t ? 2
A. Figure 8
B. Figure 5
C. Figure 3
D. Figure 1
Answer: A
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Solve the problem.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. The linear model for this data is 
where x is entering GPA and y is current GPA. Use this model to predict current GPA of a student whose entering GPA is 3.1.Entering GPACurrent GPA 
A. 3.57 B. 3.77 C. 3.39 D. 3.28
The radioactive element polonium decays according to the law 
where Q?0 is the initial amount and the time t is measured in days. If the amount of polonium left after 560 days is 40 mg, what was the initial amount present?
?
A. The initial amount was 645 mg B. The initial amount was 642 mg C. The initial amount was 651 mg D. The initial amount was 640 mg
Which scenario(s) below should be counted using permutations? I. the number of ways the gold, silver, and bronze medal winners can be chosen in an Olympic track-and-field event (assume that there are no ties) II. the number of ways 3 people can be chosen to sit from among 8 people III. the number of ways to choose 5 lottery numbers IV. the number of ways to roll a total of 7 when rolling a pair of dice V. the permutation may not be used in any scenarios
A. ?II only B. ?I only C. ?V only D. ?IV only E. ?III only
Provide an appropriate response.Derive the identity: cos 
= sin x
What will be an ideal response?