Find the first three nonzero terms of the Taylor expansion for the given function and value of a.ln x (a = 2)
A. 1 + (x - 2) -
(x - 2) 2 + ...
B. ln 2 + (x - 2) -
(x - 2) 2 + ...
C. ln 2 - (x - 2) + (x - 2) 2 - ...
D. (x - 2) - (x - 2) 2 +
(x - 2) 3 - ...
Answer: B
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Find the area enclosed by the given curves.y = csc 2 x, y = cot 2 x, x = , and x =
A.
B. ?
C.
D.
Use the graph of y = P(x) to do the following: (i) Find the x-intercepts; (ii) Solve the equation P(x) = 0; (iii) Find the zeros of P(x).
A. (i) -2, 5; (ii) -2, 5; (iii) -2, 5 B. (i) 0, 10; (ii) 0, 3, 10; (iii) 0, 3, 10 C. (i) 0, 3; (ii) 0, 3; (iii) 0, 3 D. (i) -2, 5, 10; (ii) -2, 5; (iii) -2, 5, 10
Express the integrand as a sum of partial fractions and evaluate the integral.dx
A. 2 ln + ln
+ C
B. 2 ln + ln
-
+ C
C. 7 ln + ln
+ C
D. 2 ln -
+ C
Evaluate the determinant.
A. -3 B. -8 C. 3 D. 27