Find the derivative of the function
\$f(t) = ln(3t+2)^4 \$

A) 0

B) \$ 2/(3t + 4) \$

C) \$ 12/(3t + 2) \$

D) \$ 8/(6t - 7) \$

Evaluate the integral \$ (cos^3xsinx)/(sqrt(3+cos^4x) dx \$.

A) \$ 1/2 \sqrt(- sin^4 x - 3) \$

B) \$ 1/2 \sqrt(sin^4 x + 3) \$

C) \$ 1/2 \sqrt(- sin^4 x + 2sin^2 x + 2) \$

D) \$ - 1/2 \sqrt(sin^4 x - 2sin^2 x + 4) \$

Find the sum of the series:
7 + 15 + 23 + 31 + 39 + 47 + ……….. 255.

A) 4392

B) 4192

C) 4291

D) 4128

Find the square root of the complex number z = - 2 + 3i.

A) \$ sqrt(z) = \pm(sqrt(-2 + sqrt(13)) / (\sqrt2)) + (sqrt(sqrt(13) + 2) / (\sqrt2))i \$

B) \$ sqrt(z) = \pm(sqrt(3 + sqrt(13)) / (\sqrt2)) - (sqrt(sqrt(13) - 3) / (\sqrt2))i \$

C) \$ sqrt(z) = \pm(sqrt(3 + sqrt(13)) / (\sqrt2)) + (sqrt(sqrt(13) - 3) / (\sqrt2))i \$

D) \$ sqrt(z) = \pm(sqrt(-2 + sqrt(13)) / (\sqrt2)) - (sqrt(sqrt(13) + 2) / (\sqrt2))i \$

Find the derivative of the function \$f(x) = cos^2(x)sin(x)\$.

A) \$ -2cos(x) + 3cos^3(x) \$

B) \$ 2sin(x) + 3cos^3(x) \$

C) \$ -3cos(x) + 2sin^3(x) \$

D) \$ -2sin(x) - 3cos^3(x) \$

Find the derivative of the function
\$ h(x) = (3x^2 - 5x + 1 ) (x+2) \$

A) \$ 6x^2 + 3x - 6 \$

B) \$ 9x^2 + 2x - 9 \$

C) \$ 6x^2 + 3x + 6 \$

D) \$ 9x^2 - 2x + 9 \$

Evaluate \$ \int (2x^2 - 5x + 3)/(x^2 - 2x +1) dx\$.

A) \$ (2)(x-3) + 2 ln (| x-1|) + c \$

B) \$ (2)(x-3) - 2 ln (| x-1|) + c \$

C) \$ (2)(x-3) + 3 ln (| x-1|) + c \$

D) \$ (2)(x-3) - 2 ln (| x+1|) + c \$

Evaluate the integral \$ \int_0^(π/3) sin^2 (x)/cos (x) dx\$.

A) \$ ln((\sqrt(3) + 1 )/2) + ((\sqrt(3) / 2) ln 2 + ((\sqrt(3)) / 2 )) \$

B) \$ ln((\sqrt(3) + 1 )/2) - ((\sqrt(3) / 2) ln 3 + ((\sqrt(3)) / 2 )) \$

C) \$ ln((\sqrt(3) + 1 )/2) - ((\sqrt(3) / 2) ln 2 + ((\sqrt(3)) / 2 )) \$

D) \$ ln((\sqrt(3) + 1 )/2) + ((\sqrt(3) / 2) ln 3 + ((\sqrt(3)) / 2 )) \$

Evaluate the sum of the series: \$9 + 19 + 29 + 39 + 49 + ... + 259\$.

A) 3844

B) 3848

C) 3484

D) 3488

Multiply the complex numbers (1 + 2 i ) and ( -3 + i ).

A) ( -1 - 4i )

B) ( -1 - 5i )

C) ( -1 + 4i )

D) ( -1 + 5i )