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(Public) SCI 226-01 Spring 2021 - Final Review Quiz (2nd Quiz) Flashcards | StudBud

Explore/(Public) SCI 226-01 Spring 2021 - Final Review Quiz (2nd Quiz)

13. Riemann Sums: What is the approximate area?

1. The Definition of a Derivative

(Public) SCI 226-01 Spring 2021 - Final Review Quiz (2nd Quiz)

11 terms·StudBud Administration

Only 10 Questions b/c of time constraints. I want to make the last week for my students fun.

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Questions 11

Answers

1
1. The Definition of a Derivative
f'\left(x\right)=6x+2
f'\left(x\right)=2x+6
f'\left(x\right)=6x^3+2x^2+7x
f'\left(x\right)=9x+2
2
13. Riemann Sums: What is the approximate area?
32
27
55
43
3
8. Curve Sketching: What are the x-values for the critical points?
x = 0, 2.347
x = -2, 6
x = 0.297, 2.387
x = -0.567, 1.334
4
7. Derivatives of Trig Functions: "g^'(z) = ?"
g'(z) =10\sin\left(z\right)\cos\left(z\right)+2\csc^2\left(z\right)
g'(z) =-10\sec^2\left(z\right)-2\csc^2\left(z\right)
g'(z) = -10\sec^2\left(z\right)+2\sec\left(z\right)\csc\left(z\right)
g'(z) = 10\sec^2\left(z\right)+2\csc^2\left(z\right)
5
15. The Fundamental Theorem of Calculus: What's the approximate area under the curve?
\frac{17}{6}=2.833
\frac{5}{2}=2.5
\frac{16}{3}=5.33
3
6
14. Anti-Derivatives
\frac{17}{x^4}
\frac{17}{x^4}+C
\frac{17}{x^3}+C
\frac{340}{x^6}+C
7
5. Implicit Differentiation
y‘=\frac{7x^5-3x}{7y^2-2}
y'=\frac{2x^5-2x}{5y^2-4}
y'=\frac{6x^5-8x}{6y^2-1}
y'=-\frac{6x^2-x}{6y^5-8}
8
12. L'Hopital's Rule
∞
DNE
\frac{40}{3}
\frac{27}{4}
9
4. Chain Rule
y'=54\left(6x-7\right)^2
y'=9\left(6x-7\right)^2
y'=6\left(6x-7\right)^2
y'=54\left(6x-7\right)^{^4}
10
2. Finding a Limit Graphically: \lim_{x\to-2^+} ("Limit as x approaches -2 from the right side")
DNE
-4
3
-3
11
9. Mean Value Theorem: What is the c-value that fits the mean value theorem for this problem?
c=-\frac{1}{2}
c=2
c=\frac{1}{2}
c=1