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Find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of -1.

The point P(21, 28) is on the terminal side of θ. Evaluate sin θ.

Find the limit of

Lim (x+3)^2-9

----------------

2x

X----->0

Lim (x+3)^2-9

----------------

2x

X----->0

Find the rate of change of h(x)=2 cos〖(3x+tanx)〗 with respect to x.

Choose the correct answer.

Q.The eigen values of the matrix ■(0&a@-2&-3) are a-3 and -1. Find a.

a. a=-1

b. a=1

c. a=0

d. a=2

Q.The eigen values of the matrix ■(0&a@-2&-3) are a-3 and -1. Find a.

a. a=-1

b. a=1

c. a=0

d. a=2

Q.Which of following function is analytic in comolex plane.

(i) f(z)=z ̅ (ii) f(z)=2x+ixy^2 (iii) f(z)= z^2

(i) f(z)=z ̅ (ii) f(z)=2x+ixy^2 (iii) f(z)= z^2

Q. If f(x)= ∑_(n=0)^∞▒n^(n⁄2)/n! x^(n ), then f^6(0)=?

Q.Choose the correct answer.

The radius of convergence for power series ∑_(n=1)^∞▒(2^k 〖(x+1)〗^(k+1))/k is

a.3/2

b.1

c.∞

d.½

The radius of convergence for power series ∑_(n=1)^∞▒(2^k 〖(x+1)〗^(k+1))/k is

a.3/2

b.1

c.∞

d.½

Q. Which of the following function is periodic

a. sin x+sin √2x

b. sin 2x+cos 3x

c. e^xsin x

d. xsin x+cos x

a. sin x+sin √2x

b. sin 2x+cos 3x

c. e^xsin x

d. xsin x+cos x

Q. Solve ∫_(-∞)^∞▒x^2 e^(-x^2 )cos xdx.