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10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 < t < 2, 7 t=2 tre. (7(t²-4) (-2) ift > 2 q: R→R q(t) = \t(t-7)(t-2) and the following statements (a function is said to be continuous (respectively differentiable) if it is continuous (respectively differentiable) at all the points in the domain of the function).

10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 < t < 2, 7 t=2 tre. (7(t²-4) (-2) ift > 2 q: R→R q(t) = \t(t-7)(t-2) and the following statements (a function is said to be continuous (respectively differentiable) if it is continuous (respectively differentiable) at all the points in the domain of the function).

Calculus: Early Transcendentals
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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10) Consider the following two functions p(t) = and 7e(t-2)-7 t-2 P: R → R if 0 < t < 2, t=2 7 7 (t²-4) (-2) ift > 2 q: R→R q(t)=t(t-7) (t2) and the following statements (a function is said to be continuous (respectively differentiable) if it is continuous (respectively differentiable) at all the points in the domain of the function). Statement P: Both the functions p(t) and g(t) are continuous. Statement Q: Both the functions p(t) and g(t) are not differentiable. Statement R: p(t) is continuous, q(t) is differentiable. Statement S: g(t) is continuous, p(t) is not differentiable. Statement T: Neither p(t) nor q(t) is continuous Find the number of correct statements.
Transcribed Image Text:10) Consider the following two functions p(t) = and 7e(t-2)-7 t-2 P: R → R if 0 < t < 2, t=2 7 7 (t²-4) (-2) ift > 2 q: R→R q(t)=t(t-7) (t2) and the following statements (a function is said to be continuous (respectively differentiable) if it is continuous (respectively differentiable) at all the points in the domain of the function). Statement P: Both the functions p(t) and g(t) are continuous. Statement Q: Both the functions p(t) and g(t) are not differentiable. Statement R: p(t) is continuous, q(t) is differentiable. Statement S: g(t) is continuous, p(t) is not differentiable. Statement T: Neither p(t) nor q(t) is continuous Find the number of correct statements.
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