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Honors Calculus Final
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Honors Calculus Final
24 terms
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Calculus Review - algebra rules/concepts, limits, continuity, derivatives, and integrals
Flashcards
24 cards
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Practice quiz
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Questions
24
Answers
1
Solve
\frac{1}{2\sqrt{x}}
0
\sqrt{x}
\frac{1}{\sqrt{x}}
2
Solve
0
-\frac{2}{x^3}
\frac{2}{x^3}
-\frac{2}{x^4}
3
Find the derivitive
3e^{3x}\left(\ln\left(3x-2\right)+\frac{1}{3x-2}\right)
3e^{3x}\left(\ln\left(3x-2\right)-\frac{1}{3x-2}\right)
-3e^x\ln\left(3x-2\right)
4
At x = 2 is f(x)
discontinuous
continuous
5
What is the derivative of f(x) = -2x
-2
2x2
2
2x
6
True or False
True
False
7
a
3
- b
3
=
(a-b)3
(a-b)(a2 + ab + b2)
(a+b)(a2 + ab + b)
(a-b)(a-b)(a-b)
8
Solve
\sqrt{3}
\frac{1}{3}
9
\frac{1}{2\sqrt{3}}
9
(x
2
y
2
)
3
= x
6
y
6
False
True
10
At x = 2 is f(x)
discontinuous
continuous
11
Write the equation of a line tangent to f(x) = 5x^4-2x+1 at x = -1
y = -22x + 14
y = -22x - 14
y = -11x - 7
y = 22x - 14
12
\int_{ }^{ }\left(\frac{10}{x}-3\right)dx=10\ln[x]-3x+C- [ ] - stand for absolute value
True
False
13
Which is the quadradic formula - x = _______
\frac{-b\pm\sqrt{b^2-4ac}}{2a}
a^2\pm b^2-c
b\pm\sqrt{b^2-4ac}
\frac{-b^2\pm\sqrt{-b-4ac}}{2a}
14
The derivative for f\left(x\right)=e^x is e
x
False
True
15
find the derivitave - f(x) = 2498
0
2498x
does not exist
2498
16
At x = 2 is f(x)
continuous
discontinuous
17
Solve - \int_1^5x^3dx
128
-128
156
-156
18
Find the area between the x-axis and the graph of the given function on the given interval.
-16
16
24
28
19
F(x) gives what?
y - values
x - alues
20
True or False
True
False
21
\int_{ }^{ }-\frac{6}{x^3}dx=3x+C
False
True
22
Find the second derivitive for f\left(x\right)=.5x^3-2x^2+5x+1
3x - 4
2x2 + 3
2x - 3
3x + 4x
23
True or False
False
True
24
a
2
± ab + b
2
=
a3 + b3
(a±b)2
ababab
(ab)2 (ab)
