Find the angle between A = (2, 0, - 2) and B = (0, 3, - 3). First, find the scalar product.

A) 50°

B) 60°

C) 55°

D) 65°

Determine the values of the local extrema for each of the functions is
f(x) = \$ 4x^5 - 12x^3 + x^2 - 2 \$.

A) x = 1

B) x = 2

C) x = 0

D) x = 3

Solve the equation \$(x^2 - 6x - 7) / (x^2 - 10x + 21)\$.

A) x = - 1

B) x = 1

C) x = 2

D) x = - 2

Determine if the function \$f(x) = (x^2 - 1 / x - 1)\$ is continuous at
x = 1.

A) f(1) = 4

B) f(1) = 3

C) f(1) = 8

D) f(1) = 2

The number of real roots of the equation \$ x |x | - 5|x + 2| + 6 = 0 \$, is.

A) 3

B) 5

C) 4

D) 6

Let S = { x ∈ R: \$(sqrt3 + sqrt2)^x + (sqrt3 - sqrt2)^x\$ = 10}.
Then the number of elements in S is.

A) 4

B) 0

C) 1

D) 2

Factor: \$128x^7 - 1\$.

A) \$(2x − 3)(64x^7 + 31x^5 + 6x^4 + 18x^3 + 14x^2 + 2x + 21)\$

B) \$(2x − 1)(64x^6 + 32x^5 + 16x^4 + 8x^3 + 4x^2 + 2x + 1)\$

C) \$(x − 1)(61x^6 + 30x^5 + 26x^4 + 38x^3 + 44x^2 + 2x + 71)\$

D) \$(x − 1)(50x^6 + 21x^5 + 16x^4 + 8x^3 + 4x^2 + 55x + 12)\$

Solve the equation:
\$ 2x^2 + 5x + 3/(x+2) \$ = 0.

A) \$x = - 1\$ and \$x = - (3/2)\$

B) \$x = - 1\$ and \$x = - (7/2)\$

C) \$x = 9\$ and \$x = - (3/2)\$

D) \$x = 5/2\$ and \$x = - (3/2)\$

Evaluate the limit: \$lim_(x->∞) (1- 3x + 6x^2 - x^10)/(2 + 4x^4 - 8x^7 + 8x^10)\$.

A) \$1/8\$

B) \$- 3/8\$

C) \$- 2/9\$

D) \$- 1/8\$

Use synthetic division to divide \$6x^4 + x^3 - 39x^2 + 6x + 40\$ by 3x - 4.

A) \$x^4 + 1x^2 − 4x − 14\$

B) \$x^3 + 3x^2 − 7x − 10\$

C) \$2x^3 + 3x^2 − 9x − 10\$

D) \$5x^3 + 2x^2 − x − 15\$