Answer these with work please!! Thanks and please

Plus CE Forest Hills High School Mathematics Department : Julia Orlowska MCN11H - Quarterly Exam (Spring 2024) Prindpal: P. Wilbur J. 4x) dx Date: 09/ 15/ 24 Part 1: Answer all 8 questions in this part. Each correct answer will receive 5 credits, No partial credit will be allowed. Period:_ 2. Find if 3xy = 4x+ y (A) 15 (B) 13.5 (C) 14 (D) 14.5 B) 3x-4 (E) 2) By-x )zy -3x E ) 4+3y Find the limit below. zy+3x (2x - 1)(3 -x) DO ( x - 1 ) ( x + 3 ) 4. If f (x) = (x -1)(x2 + 2)3, then f' (x) 1) - 3 2 6x (x2 + 2) 2 2) - 2 6x - 2x 2-3 Kx (x 2 + 2 ) 2 ( x2 + 3 4 ) ( x2 + 2) 2 (7 x 2 - 6x + 2 ) 3 ) 2 5 ) - 3 ( x - 1 ) ( x 2 + 2 ) 2 4) 3 ( x2+2) 5 ) DNE 5. If y= Vx3 +2x, then dy= * 3 + 2 x / 2 6. The area of the region between the graph of y = 3x2 + 2x and the x-axis from x = 1 to x = 3 is ( A) (2x2 + 1) (23 + 2x ) : (A) 36 (B) (2x2 + 1) Vx3+2x (B) 34 (C) 31 (C) (x3 + 2x ) (D) 26 ( D) ( 3x 2 + 2 ) 1 (E) 12 (E) (3x2 + 2) Vx3 + 2x 8. A particle moves along the x-axis in such a way 7. Approximate the area between the x-axis and 1-1 that its position at time t is given by x(t) = f(x) = = from x = 0.5 to x = 2 using a left 1+1 Riemann sum with 3 equal subdivisions. What is the acceleration of the particle at time t=0? (A) - 4 f ( z ) = 2 (B) - 2 (C) -3/5 (D) 2 0.5 1 1.5 2 (E) 4 ( A) 2 (B) 3.7 (C) 4.5 (D) -39. " J_sf(x)dx = -17 and S, f(x)dx = -4, what |10. The area of the region between the graph of is the value of , f (x) dx ? y - 3x* + 2x and the x-axis from x - I to x - 3 is ( A ) - 21 (B) -13 (A) 36 (C ) O (B) 34 -17+4 (C) 31 ( D) 13 (D) 2 ( E ) 21 - 9 -8 + 4 ( E ) 12 CE Part 2: Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Each question is 10 points. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 10. The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral ], f(x)dx 11. Evaluate: Six - 21 dx 5 1 x 2 _ 2x /d* = 22.5 clear [$ 2 - 215) ] - [ -2 - 21- U)] = 225 12 . Set up the definite integral that gives the area of the region 1 = x2 - 6x enclosed by. 12 = 15. Evaluate 14. Differentiate with respect to x: y = (5x2 +3) x2 - cos x dx y' = 2(5x 2 + 3 ) . (10 x - + sinx dy y = ( 10 * 2 + 6) - 10 x y' = 100 * * + 60 *