Provide an appropriate response.Factor completely: p2 + 2pq - 3q2
Fill in the blank(s) with the appropriate word(s).
(p + 3q)(p - q)
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Solve the initial value problem.Differential Equation: 
= (t4 + 5t2)i + 4tjInitial Condition: r(0) = 5i + 7j
A. r(t) = 
i + (2t2 + 5)j
B. r(t) = 
i + (t2 + 7)j
C. r(t) = 
i + (2t2 + 7)j
D. r(t) = 
i + 2t2j
Find the equation that the given graph represents.
A. f(x) = -x3 + 4x2 + x - 5 B. f(x) = x2 + 4x - 5 C. f(x) = x3 + x2 + x + 5 D. f(x) = x3 + 4x2 - x - 5
The graph of an exponential function is given. Match the graph to one of the following functions.
A. f(x) = 5x B. f(x) = -5-x C. f(x) = 5-x D. f(x) = -5x
Use the figure to determine the derivative.The figure shows the graph of f(x) = 2 + ln x along with its tangent line 
at the point (1, 2). What is f'(1)?
A. -2 B. -1 C. 2 D. 1