Answer:
see below
Step-by-step explanation:
I enter the equation into a graphing calculator and let it do the graphing.
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If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.
Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).
I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).
Of course, you don't plot any function values for x > 4.
The percentage value of the decimals are 475%, 99% and 1040% respectively.
Data;
a) 4.75
To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.
b) 0.99
To convert this decimal value to percentage, we just need to multiply this number by 100.
c) 10.4
To convert this decimal value to percentage, we just need to multiply this number by 100.
Learn more on conversion of decimal value to percentage here;
Answer:
Radius of convergence of power series is
Step-by-step explanation:
Given that:
n!! = 1⋅3⋅5⋅⋅⋅⋅(n−2)⋅n n is odd
n!! = 2⋅4⋅6⋅⋅⋅⋅(n−2)⋅n n is even
(-1)!! = 0!! = 1
We have to find the radius of convergence of power series:
Power series centered at x = a is:
Applying the ratio test:
Applying n → ∞
The numerator as well denominator of are polynomials of fifth degree with leading coefficients: