2023 mat 136 - Study guides, Class notes & Summaries
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MAT 136 exam 2-with 100% verified solutions-2023-2024
- Exam (elaborations) • 29 pages • 2023
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MAT 136 exam 2-with 100% verified solutions-2023-2024
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MAT 136 Exam 2 With 100% Verified Solutions 2023/2024
- Exam (elaborations) • 27 pages • 2023
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MAT 136 Exam 2 With 100% Verified Solutions 2023/2024
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MAT 136 exam 2-with 100% verified solutions-2023-2024
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MAT 136 exam 2-with 100% verified solutions-2023-2024
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2023 MAT 136: Calculus I - Spring 2020 Exam 3
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2023 MAT 136: Calculus I - Spring 2020 
Exam 3 
 
 
 
 Question 1 
	Find the local linearization of f(x)= x^3-2x^2+5 at x=5 
L(x)=f(a)+f'(a)(x-a) 
f(a)=(5)^3-2(2)^2+5=80 
f^' (x)=3x^2-4x 
f^' (a)=3(5)^2-4(5)=55 
 Therefore, 
L(x)=f(a)+f^' (a)(x-a)=80+55(x-5)=80+55x-275=55x-195 
L(x)=55x-195 
	Estimate f(6) and f(0) using part a). 
f(6)≈L(6)=55(6)-195=135 
f(0)≈L(0)=55(0)-195=-195 
	 Are any of the estimates from part b) useful? Ex-plain why or why not. 
Yes, f(0) is the y-intercept ...
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MAT 136 exam 1 with 100% verified solutions-2023-2024
- Exam (elaborations) • 22 pages • 2023
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MAT 136 exam 1 with 100% verified solutions-2023-2024 
 
 
 
 
 
 	Question 
		√2⋅9 - Cancel the common factors of 18 and 16 which would be 2 
2⋅8 
√9 - Rewrite 
8 
 
√9 - as 
√8 
 
 3	- The squareroot of 9 = 3, factor 4 out of 8 
√4(2) 
 
 3 - The squareroot of 4 = 2, remove 2 from radical 
2√2 
( 3 ) ⋅ (√2 ) - Multiply togther and simplify 
2√2	√2 
 
(3⋅√2) 
2(√2)2 
 (3⋅√2)	n x	x	1 
- use √a = a n	to rewrite √2 as 2 2 and simplif...
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MAT 136 exam 1 with 100% verified solutions-2023-2024
- Exam (elaborations) • 22 pages • 2023
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MAT 136 exam 1 with 100% verified solutions-2023-2024 
 
 
 
 
 
 	Question 
		√2⋅9 - Cancel the common factors of 18 and 16 which would be 2 
2⋅8 
√9 - Rewrite 
8 
 
√9 - as 
√8 
 
 3	- The squareroot of 9 = 3, factor 4 out of 8 
√4(2) 
 
 3 - The squareroot of 4 = 2, remove 2 from radical 
2√2 
( 3 ) ⋅ (√2 ) - Multiply togther and simplify 
2√2	√2 
 
(3⋅√2) 
2(√2)2 
 (3⋅√2)	n x	x	1 
- use √a = a n	to rewrite √2 as 2 2 and simplif...
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MAT 136 exam 2-with 100% verified solutions-2023-2024
- Exam (elaborations) • 28 pages • 2023
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MAT 136 exam 2-with 100% verified solutions-2023-2024
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MAT 136 exam 2-with 100% verified solutions-2023-2024
- Exam (elaborations) • 31 pages • 2023
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MAT 136 exam 2-with 100% verified solutions-2023-2024 
 
 
 
 
 
 
 
 
 
Question 
 
 
 
 
 
Show your work and explain how you arrived at your answer. Answers with no relevant explanations do not show an understanding of the topic and may get reduced or no credit. 
 
 
f(g(x)) = sqrt(x^2 + 5) + 6	-Substitute g(x) into f(x) 
 
 
g(f(x)) = (sqrt(x) + 6)^2 + 5	-Solve for (sqrt(x) + 6)^2 
 
 
(sqrt(x) + 6)^2 = x + 12sqrt(x) +36	-Insert back to the formula 
 
 
g(f(x)) = x + 12sqrt(x) +36 + 5	-Simp...
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MAT 136 Exam 1 With 100% Verified Solutions 2023/2024
- Exam (elaborations) • 21 pages • 2023
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MAT 136 Exam 1 With 100% Verified Solutions 2023/2024
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MAT 136 Exam 2 With 100% Verified Solutions 2023/2024
- Exam (elaborations) • 20 pages • 2023
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MAT 136 Exam 2 With 100% Verified Solutions 2023/2024
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