If f(x) is a function such that f'(x) = 8°(2)+1 with f(2)=0, then f(6)= 1 Select...
3. (points 10) We have that XAB+A B.D+A B (does not have hi-Z for any input combination). a) Determine appropriate values for In1, In2, In3, In4, In5, In6, In7 and In8 (fill the following table) In6 In7 In8 Inl In2 In3 In4 In5 b) Give an implementation for netl using 6 n-MOS transistors. Only A, B, C, D, and their complements, the ground and the power supply can be u inputs. sed as 4 In 10 In3 ou I Netl
The function f that satisfies f'(x) = 3x2 +1, f(2)=5 is Select one: a. f(2)=23+ O b. f(x) = 2 + 1 - 5 O c. f(x)=x3 ++2 d. f(x) = 3x2 – 7 O e. None of these. Let f(2) be a function that is continuous on 1, 7] with f(1) =3 and f(7) = 9. Then the Intermediate Value Theorem guarantees that Select one: O a. f'(2)=1 has at least on solution in the open interval (1,7). O...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8. -2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
21 Q. No: 1 lim is equal to: انا ابن (a) o (6) 1 (c) 2 Q. No: 2 The average value of the function f(x) = sin(32) on (0, is equal to: 2 (6) (d) Q. . No: 3 The integral (.' |--1/4 | dx is equal to: (a) 0 (6) 1 (0) sin Q. No: 4 The intergral ſi dr is equal to: 1 + cos2x (a) - tan(sin x) + (6) - tancos x) + c (c)...
The graph of the first derivative f'(x) of function f(2), 1€ (-5,5) is shown below. Then f(x) has a local minimum at (-1,1) - 2+ (0,0) (4,0) (-2,0) 2 - 2 (2,-2) Graph of f'(x) Select one: O a. None of these. O b. x = -2,0,4 only. C. 2 = 2 only. d. 2= -2,4 only. e. 2 = 0 only. Oo oo Consider a function f(x), a € (-0,00) whose first derivative is f'(2) = 1 +(22 –...
If f'(x) = (x – 7)(x-1), the function f(x) is increasing on: Select one: O a. (-0,1) O b. (-1,0) O c. (-0,7) O d. (7,00) O e. (-1,7)
QUESTION 8 Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x. 6 y = 8 X O y = 542 10x16 6 u +878 - u; u = x8, causing O y = u8; u = 5x2.-x -f10x -1) Oy= u®; u = 5x2.6 x = 0(532-60) y = 48: u = 5x2.5 - X 5x2 x dx QUESTION 9 Given y = f(u) and u = g(x),...
Find the limit. 4- 34 lim 1-0 Select one: a. oo b. 1 0 C. In 3 - In 4 O d. 0 0 e. None of these O f. In4- In 3
FIND THE DOMAIN OF THE FUNCTION VX+1 +5 f(x) VVx2-x-6 A) (-00,-2) U (3,0) B) (-2,3] C)(-0, -1) U (3,0) D)(3.c) E)(-0, -1]U (5.00) F)(-60,-2]U[3,00) G)(-2,3)U(-1,00) H)(-00,-1] Select one: a. D b. C C. A d. B e. E f. F g. G h. H
2 7 For the function f(x)=x', find f''(x), f''(O), and f''(1). f'(x) = Select the correct choice below and fill in any answer boxes in your choice. O A. f''(0) = (Type an integer or a simplified fraction.) OB. f''(0) is undefined. Select the correct choice below and fill in any answer boxes in your choice. O A. f''(1) = (Type an integer or a simplified fraction.) OB. f''(1) is undefined.