Q1: lim Q2: lim (x-1)(x-2) x+1 x-001+stnx Q3: f(x) = x²-16 đêm 5244 A) 3 (A) B) 00 (B) 00 18 (C)-8 D) d.n.e (D) d.n.e is discontinuous at: (A) x 1 (B) x=4 (C) x= 1 and x=4 (D) x=-1 and x=-4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Q 1 and Q 2 please
Q1: lim
(x-1)(x-2)
Q2: lim
x+1
x+01+stnx
Q3: f(x)=
=
A) 3
=
(C)-8
x-16
is discontinuous at: (A) x 1 (B) x = 4 (C) x = 1 and x = 4 (D) x=-1 and x=-4
đêm 5244
Q4: Which of the given functions is discontinuous on the interval [0,2). (A)esex (B) cosx (C) tanx (D) sinx
Q5: The average rate of change of f(x) = x² + x on the interval [2,5] is (A) 3 (B) 8 (C)-8
(D) 10
Q6: If the line 2x + 3y = 5 is tangent to the graph of y = f(x)at x = 1, then f'(1) = (A) (B) (C) D
then F'(1) = . (A) (B
(A)
B) 00
(B) 00
C)18
Q7: If f(1) = -1,f(1) = 2,g(1) = 3,g'(1) = -1, F(x) =
g(x)
csc(x+h)-cscx = (A)…CSCx cotx (B) cscx cotx
h
dt
Q10: If siny=x then
Q11: If A = x² and
dA
dt
= 3, then 10 = A) ²00
D) d. n. e
Q8: lim
h-0
(C) secx cotx (D)-secx cotx
Q9: If f(2)=3, f'(2) = 4, g(3) = 6, g' (3) = -5, K(x) = f(g(x)),then K' (3)=(A) (B
(A)sec²y tany
(B) secy tany
(D) d.n.e
(C) secy tan²y (D)-sec²y tany
D)
10
-20
10
Q12: If y = 5-x², find Ay and dy at x = 2, with dx = Ax = 0.1
(A)Ay = 0.41, dy = 0.4 (B)Ay = -0.4, dy = -0.41 (C)Ay = -0.41.dy = -0.4 (D)Ay=-0.41, dy = 0.4
Transcribed Image Text:Q1: lim (x-1)(x-2) Q2: lim x+1 x+01+stnx Q3: f(x)= = A) 3 = (C)-8 x-16 is discontinuous at: (A) x 1 (B) x = 4 (C) x = 1 and x = 4 (D) x=-1 and x=-4 đêm 5244 Q4: Which of the given functions is discontinuous on the interval [0,2). (A)esex (B) cosx (C) tanx (D) sinx Q5: The average rate of change of f(x) = x² + x on the interval [2,5] is (A) 3 (B) 8 (C)-8 (D) 10 Q6: If the line 2x + 3y = 5 is tangent to the graph of y = f(x)at x = 1, then f'(1) = (A) (B) (C) D then F'(1) = . (A) (B (A) B) 00 (B) 00 C)18 Q7: If f(1) = -1,f(1) = 2,g(1) = 3,g'(1) = -1, F(x) = g(x) csc(x+h)-cscx = (A)…CSCx cotx (B) cscx cotx h dt Q10: If siny=x then Q11: If A = x² and dA dt = 3, then 10 = A) ²00 D) d. n. e Q8: lim h-0 (C) secx cotx (D)-secx cotx Q9: If f(2)=3, f'(2) = 4, g(3) = 6, g' (3) = -5, K(x) = f(g(x)),then K' (3)=(A) (B (A)sec²y tany (B) secy tany (D) d.n.e (C) secy tan²y (D)-sec²y tany D) 10 -20 10 Q12: If y = 5-x², find Ay and dy at x = 2, with dx = Ax = 0.1 (A)Ay = 0.41, dy = 0.4 (B)Ay = -0.4, dy = -0.41 (C)Ay = -0.41.dy = -0.4 (D)Ay=-0.41, dy = 0.4
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