Find the Taylor series generated by f at x = a.f(x) = x3 + 7x2 - 3x + 5, a = 1
A. (x - 1)3 + 10(x - 1)2 + 20(x - 1) + 10
B. (x - 1)3 - 10(x - 1)2 + 20(x - 1) - 10
C. (x - 1)3 - 10(x - 1)2 + 14(x - 1) - 10
D. (x - 1)3 + 10(x - 1)2 + 14(x - 1) + 10
Answer: D
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Solve the equation.
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Graph the parabola, including its vertex, focus, and directrix.(x - 2)2 = 4(y + 5)
A. vertex: (2, -5); focus (2, -6); directrix y = -4
B. vertex: (2, -5); focus (2, -7); directrix y = -3
C. vertex: (2, -5); focus (2, -3); directrix y = -7
D. vertex: (2, -5); focus (2, -4); directrix y = -6
Find the present value of the future amount. Assume 365 days in a year. Round to the nearest cent.$1200 for 10 months; money earns 2%
A. $19.67 B. $1182.27 C. $1180.33 D. $1176.47
Write the sentence as an equation. Let the variable x represent the number.The product of 3 and a number increased by 2 is 15.
A. 6x = 15 B. 3x - 2 = 15 C. 3x + 2 = 15 D. 3(x + 2) = 15