The average round trip speed 5 (in mph) of a vehicle travelling a distance of a miles each way is given by s = 2 d d r 1 + d r 2 . In this formula, r 1 is the average speed going one way, and r 2 is the average speed on the return trip. a. Simplify the complex fraction. b. if a phone files 400 mph from Orland to Albuquerque and 460 mph on the way back, compute the average speed of the round trip. Round to 1 decimal place.
The average round trip speed 5 (in mph) of a vehicle travelling a distance of a miles each way is given by s = 2 d d r 1 + d r 2 . In this formula, r 1 is the average speed going one way, and r 2 is the average speed on the return trip. a. Simplify the complex fraction. b. if a phone files 400 mph from Orland to Albuquerque and 460 mph on the way back, compute the average speed of the round trip. Round to 1 decimal place.
Solution Summary: The author calculates the simplified form of the complex tion by multiplying the numerator and denominator.
The average round trip speed 5 (in mph) of a vehicle travelling a distance of a miles each way is given by
s
=
2
d
d
r
1
+
d
r
2
.
In this formula,
r
1
is the average speed going one way, and
r
2
is the average speed on the return trip.
a. Simplify the complex fraction.
b. if a phone files 400 mph from Orland to Albuquerque and 460 mph on the way back, compute the average speed of the round trip. Round to 1 decimal place.
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = -1.
654
-2-
-7-6-5-4-
2-1
1 2
5 6 7
02.
Select all that apply:
☐ f(x) is not continuous at x = -1 because f(-1) is not defined.
☐ f(x) is not continuous at x = −1 because lim f(x) does not exist.
x-1
☐ f(x) is not continuous at x = −1 because lim ƒ(x) ‡ ƒ(−1).
☐ f(x) is continuous at x = -1
J-←台
Let h(x, y, z)
=
—
In (x) — z
y7-4z
-
y4
+ 3x²z — e²xy ln(z) + 10y²z.
(a) Holding all other variables constant, take the partial derivative of h(x, y, z) with
respect to x, 2 h(x, y, z).
მ
(b) Holding all other variables constant, take the partial derivative of h(x, y, z) with
respect to y, 2 h(x, y, z).
ints) A common representation of data uses matrices and vectors, so it is helpful
to familiarize ourselves with linear algebra notation, as well as some simple operations.
Define a vector ♬ to be a column vector. Then, the following properties hold:
• cu with c some constant, is equal to a new vector where every element in cv is equal
to the corresponding element in & multiplied by c. For example, 2
2
=
● √₁ + √2 is equal to a new vector with elements equal to the elementwise addition of
₁ and 2. For example,
問
2+4-6
=
The above properties form our definition for a linear combination of vectors. √3 is a
linear combination of √₁ and √2 if √3 = a√₁ + b√2, where a and b are some constants.
Oftentimes, we stack column vectors to form a matrix. Define the column rank of
a matrix A to be equal to the maximal number of linearly independent columns in
A. A set of columns is linearly independent if no column can be written as a linear
combination of any other column(s) within the set. If all…
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