Question

Solve triangle *ABC*. (If an answer does not exist, enter
DNE. Round your answers to one decimal place. Below, enter your
answers so that

∠A_{1}

is smaller than

∠A_{2}.)

b = 129, c = 168, ∠B = 40°

∠A |
° |
∠A |
° | |

∠C |
° |
∠C |
° | |

a |
a |

Answer #1

Use the Law of Sines to solve for all possible triangles that
satisfy the given conditions. (If an answer does not exist, enter
DNE. Round your answers to one decimal place. Below, enter your
answers so that ∠A1 is smaller than
∠A2.)
b = 26, c = 31, ∠B
= 27°
∠A1 =
°
∠A2 =
°
∠C1 =
°
∠C2 =
°
a1 =
a2 =

Use the Law of Sines to solve for all possible triangles that
satisfy the given conditions. (If an answer does not exist, enter
DNE. Round your answers to one decimal place. Below, enter your
answers so that ∠A1 is smaller than
∠A2.)
b = 29, c = 32, ∠B
= 21°
∠A1 =
°
∠A2 =
°
∠C1 =
°
∠C2 =
°
a1 =
a2 =

Consider the function below. (If an answer does not exist, enter
DNE.)
g(x) = 250 +
8x3 +
x4
(a) Find the interval of increase. (Enter your answer using
interval notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b) Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
(c) Find the inflection points.
(x, y)=(smaller x-value)
(x, y)=(larger x-value)
Find the...

Consider the function below. (If an answer does not exist, enter
DNE.)
f(x) = 1/2x^(4) − 4x^(2) + 3
(a)
Find the interval of increase. (Enter your answer using interval
notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b)
Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
(c)
Find the inflection points.
(x, y) = (smaller x-value)
(x, y) =...

Find all horizontal and vertical asymptotes (if any). (If an
answer does not exist, enter DNE. Enter your answers as a
comma-separated list of equations.) r(x) = 5x + 1 4x2 + 1
vertical asymptote(s)
horizontal asymptote

Consider the function below. (If an answer does not exist, enter
DNE.)
h(x) = (x
+ 1)9 − 9x − 3
(a) Find the interval of increase. (Enter your answer using
interval notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b) Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
(c) Find the inflection point.
(x, y) =
Find the interval...

Consider the equation below. (If an answer does not exist, enter
DNE.)
f(x) =
x4 − 8x2
+ 7
(b) Find the local minimum and maximum values of f.
(c) Find the interval on which f is concave up. (Enter
your answer using interval notation.)
(d) Find the interval on which f is concave down.(Enter
your answer using interval notation.)

Solve ΔABC. (Round your answer for b to one
decimal place. Round your answers for α and γ to
the nearest 10 minutes. If there is no solution, enter NO
SOLUTION.)
β =
72°10', c =
14.2, a = 86.6
b
=
α
=
° '
γ
=
° '

1. Consider the equation below. (If an answer does not exist,
enter DNE.)
f(x) = e2x + e−x
(b) Find the local minimum and maximum values of f.
local minimum value
2. A particle is moving with the given data. Find the position
of the particle.
a(t) = 13 sin(t) + 6 cos(t), s(0) =
0, s(2π) = 10
3. Find the area of the largest rectangle that can be inscribed
in the ellipse
x2
a2
+
y2
b2
= 1.
4....

Consider the following. (If an answer does not exist, enter
DNE.)
f '(x) =
x2 + x − 30
(a)
Find the open intervals on which f ′(x) is
increasing or decreasing. (Enter your answers using interval
notation.)
increasing
(−12,∞)
decreasing
(−∞,−12)
(b)
Find the open intervals on which the graph of f is
concave upward or concave downward. (Enter your answers using
interval notation.)
concave upward
concave downward
(c)
Find the x-values of the relative extrema of
f. (Enter...

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