For 1-10 please answer true or false Please explain why it is true If false, please explain why or give a counterexample (whichever is appropriate). Recall that a counterexample is a specific example which shows that a statement is false. x²-1lim→-1 2a3 +11.Sdx = In(4) + ln(2) + ln(1) + In(1).2.Let f be a one-to-one function with domain (-0o, 0). Then for any horizontal line L,the graph of f intersects the line L exactly once.3.4.Let f(x) and g(x) be any two invertible functions. Then f(x)+g(x) is an invertiblefunction.-15.For any x in the domain of sin¯', we have that:x2cos(sin-1(교)) =46.Assume that f has domain (-∞, 0) and f is differentiable everywhere. If f'(x) <O for every , then f is one-to-one.For any two positive real numbers a, b such that a + 0 and b + 0 we have thatIn(a) · In(b) =In(a · b).7.8.If money is invested in an account that is continuously compounded at 4%, then ittakes the same amount of time for the account to double in value no matter how muchmoney was initially invested.9.|sin(sin(T)) = T.For any b > 0 and b + 1, we have that limgIn(1+b*)= In(b).10.

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Answered: -1 2x3+1 3 Sda = In(4) + In(2) + ln(1)…

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-1 2x3+1 3 Sda = In(4) + In(2) + ln(1) + ln(1).

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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Question

For 1-10 please answer true or false

Please explain why it is true

If false, please explain why or give a counterexample (whichever is appropriate). Recall that a counterexample is a specific example which shows that a statement is false.

x²-1
lim→-1 2a3 +1
1.
Sdx = In(4) + ln(2) + ln(1) + In(1).
2.
Let f be a one-to-one function with domain (-0o, 0). Then for any horizontal line L,
the graph of f intersects the line L exactly once.
3.
4.
Let f(x) and g(x) be any two invertible functions. Then f(x)+g(x) is an invertible
function.
-1
5.
For any x in the domain of sin¯', we have that:
x2
cos(sin-1(교)) =
4
6.
Assume that f has domain (-∞, 0) and f is differentiable everywhere. If f'(x) <
O for every , then f is one-to-one.
For any two positive real numbers a, b such that a + 0 and b + 0 we have that
In(a) · In(b) =In(a · b).
7.
8.
If money is invested in an account that is continuously compounded at 4%, then it
takes the same amount of time for the account to double in value no matter how much
money was initially invested.
9.
|sin(sin(T)) = T.
For any b > 0 and b + 1, we have that limg
In(1+b*)
= In(b).
10.

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