- The equation of the tangent to the curve 2x^2 − y^4 = 1 at the point (−1, 1) is
(A) y = −x
(B) y = 2 − x
(C) 4 y + 5x + 1 = 0
(D) x − 2y + 3 = 0
(E) x − 4y + 5 = 0
- The nth term of the Taylor series expansion about x = 0 of the function
(A) (2x)n
(B) 2 xn − 1
(C)
(D) (−1)n − 1(2x)n − 1
(E) (−1)n(2x)n − 1
- When the method of partial fractions is used to decompose one of the fractions
obtained is
(A)
(B)
(C)
(D)
(E)
- A relative maximum value of the function is is
(A) 1
(B) e
(C)
(D)
(E) none of these
- When a series is used to approximate the value of the integral, to two decimal places, is
(A) −0.09
(B) 0.29
