Answer: The required solution is b = 0.
Step-by-step explanation: We are given to solve the following linear equation :
We need to find the value of the unknown variable 'b' in the give equation.
From equation (i), we have
Thus, the required solution is b = 0.
The period of the secant function is 2π, the correct option is C.
The period of a function is the value at which the function repeats itself.
The secant function is
f(x) = sec x
The period of the secant function can be determined from its graph.
A graph of y = sec x is plotted and the period is determined.
The period of the secant function is 2π, the correct option is C.
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Answer: C 2pi
Step-by-step explanation:
b. $223.75
c. $228.75
d. $232.75
Answer:
a.$233.75
Step-by-step explanation:
We are given that
Cost of 1 square yard of carpeting =$8.50
We have to find the total cost for 27.5 square yards.
Using unitary method
Cost of 27.5 square yards of carpeting =
After multiplying , we get
The cost for 27.5 square yards of carpeting =$233.75
Hence, the cost for 27.5 square yards of carpeting=$233.75
Answer:a.$233.75
Step-by-step explanation:
These are all examples of p-series:
∑(1 / nᵖ), where p>0.
If p > 1, the series converges. If 0 < p ≤ 1, the series diverges.
First option:
∑(1/n⁵)
Here, p = 5. Since 5 > 1, the series converges.
Second option:
∑((√n+3)/n³)
∑((√n)/n³) + ∑(3/n³)
∑(1/n^2.5) + 3 ∑(1/n³)
In the first sum, p = 2.5. In the second sum, p = 3. Both are greater than 1, so the series converges.
Third option:
∑((n−4)/(n⁴√n))
∑(1/(n³√n)) − ∑(4/(n⁴√n))
∑(1/n^3.5) − 4 ∑(1/n^4.5)
In the first sum, p = 3.5. In the second sum, p = 4.5. Both are greater than 1, so the series converges.
Fourth option:
∑(1/∛n)
∑(1/n^⅓)
Here, p = ⅓. This is less than 1, so the series diverges.
Note: if a series is converging, then the limit is 0.
However, if the limit of a series is 0, it does not necessarily mean that series is converging.
Here, the limit of all 4 options is 0. However, the fourth option is a diverging series.
Find the perimeter of a rectangular window frame with a length of 19 inches and a width of 3 inches.
is perpendicular to the x-axis,
A. Equation; x = 4
B. Equation; x = -2
C. Slope undefined
D. Slope: 0
E. Equation: y = 4
F. Equation: y = -2
Answer:a,b,e,f
Step-by-step explanation: