Question 86 - 100: Look at the graph of function f(r) . A -5 -1 3 5 7 9 11 1--1 86. lim f(x) = 87. lim f() = 88. Is f(x) continuous at I = 1? 89. Is f(x) continuous at x = 0? 90. Is f(x) continuous at x = - 3 from the left hand side ? 91. limf() = 92. Does limf (x) exist ? 93. Is f(x) continuous at I = 8? 94. Is f()...
101 8 7 6 5 4 2 r -10 -3 -6 4 10 -7 Give numeric values for each of the following. Write "DNE" if the value does not exist and "0" or "-20" as appropriate. lim f'(-8) = lim f(x) = 1() de f(3+At) - (3) lim (1) = lim A- lim f(x) - (2) 12 I-2 lim f(1) = limf(1) =
Function f is graphed. y 9 8 7 6+ y = f(x) CT 4+ 3+ 2+ 1+ H4+ 29-8-7 -6 -5 -4 3-2 1 2 3 4 5 6 7 8 9 -2 -3 4 -50 1 A 2+ M من 4 -58 -6 -8 -9 What appears to be the value of lim f(x)? 20+ 07 0-5 Unbounded Function g is graphed. → see y= g(2) 9 8 7+ 6+ 5+ 4+ es 2+ 1+ A+++ -9 -8 -7...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
9-24 Evaluate the limit, if it exists. 2 - 6x + 5 9. lim 10_lim x² - 4x 3-4 x - 5 why. - 5x4+ 6 -5 2r² + 3xunt 12. lim 1-1 r2 - 2x 13. lim 21,7t + 3 14. lim -182 - 3x - 4 4 + 12 – 16 15 lim 16. lim h 0 (2 + h): - 8 h 1 + 1 - 1 h 17. lim -27 + 8 18. lim h 0
6. (10 points) The graph of a function fis given below. O O . a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity Gump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: lim f(x) it. limf(x) ill. lim 1.
number8 (6x²-1 xSl. a. DNE b. O c. 3 d. -3 e. 00 Given the piecewise function f(x) = { answer the questions belov Vx+ 24 x>1 76. Evaluate the lim f(x) if it exists. a. DNE b. 4 c. 5 d. 4 and 5 e. 25 7. State the domain of the function.a. (-00,00) b. (-00,1) C. (-0,1] d TX Given the function f(x) = 2x2 - 16x+1, answer the following questions (#8-#12) 8. Find the average rate of...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t is measured in seconds and sin meters, (a) Find the velocity of the particle in terms of t. (b) Find the velocity and the speed at time t=1. (c) When is the particle at rest? (d) When is the particle moving to the right and when is it moving to the left? (e) Find the acceleration of the particle at t. (10pts) 2. Evaluate...
2x+5xy* 1) Let f(x,y) = *3+x3y2 Which among the following is true about limf(x,y)? (x,y)--(0,0) a. By using the two path test we can deduce that the limit does not exist b. By using the two path test we can deduce that the limit exists c. The limit is 2 d. None of the above O a. O b. O c. O d. 2) Let f(x,y) Vx+1-y+1 xy Then lim f(x,y) (xy)+(0,0) a. is 0 b.is c. is 1 d....