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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
Find the rate of change of h(x)=2 cos⁡〖(3x+tan⁡x)〗 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.Which of following function is analytic in comolex plane.
(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
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
Q. Solve ∫_(-∞)^∞▒x^2 e^(-x^2 )cos xdx.
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