4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4
evaluate the limit if exsist
e) lim x2-3x+2 *2-2x x-2 (x2-3x+2 x2 x2-2x yes, this is the SAME limit as in parte) Demonstrate ANOTHER (still algebraic/non-numerical) way to find this limit than you used in parte).
16. Divide: X-3 1 [A] x2 + 3x + 2 [B] x3 +3x2 + 3x – 1 X-3 3 5 [C] x2 + 3x + 14+ [D] x2 +3x+9+ 20 x-3 [E] None of these X-3 е е
evaluate integral
- 2x (x2 + 3x-2) e ax S.***+ 3x-2)
6. If 3x – 3 5 f(x) < x2 – 3x + 6 for x 2 0, find lim f(x). X-3
What is the maximum value of the function y=-x2 +3x-3
Solve the inequality log2 (x2 – 3x + 4) <1. Give the answer as an interval.
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
Perform the indicated operations; simplify if possible: (x 4)x2 3x 2)
write an equation of the tangent line to the graph of f(x) = x2 – 3x+4 at (-1,8).