Linearization And Differentials:
If ƒ(x) is a differentiable real function at x=a, then the approximating function t(x) =ƒ(a) + ƒ′(a) (x – a) is called the linearization of f at a.
Linearization And Differentials Sample Questions:
Question 1: Estimate 11,907 + 3,789
(a) 4
(b) 3
(c) 2
(d) 1
Answer: (c)
Explanation:
Question 2:
Answer: (b)
Explanation:
Question 3:
Answer: (c)
Explanation:
Question 4:
Answer: (a)
Explanation:
Question 5:
Answer: (a)
Explanation:
Question 6:
Answer: (c)
Explanation:
Question 7:
Answer: (b)
Explanation:
Question 8: Differentials are often constrained to be______?
(a) Very small quantities
(b) Very large quantities
(c) Constant
(d) None
Answer: (a)
Explanation: Differentials are often constrained to be very small quantities.
Question 9: A linear approximation normally loses accuracy away from its ____?
(a) Extreme points
(b) Center
(c) Both
(d) None
Answer: (b)
Explanation: If ƒ(x) is a differentiable real function at x=a, then the approximating function t (x) =ƒ(a) + ƒ′(a) (x – a) is called the linearization of f at a.
Question 10:
Answer: (c)
Explanation:
