Answer:
The plot is attached.
Step-by-step explanation:
Plot the function y(x)=e^–0.5x sin(2x) for 100 values of x between 0 and 10. Use a 2- point-wide solid blue line for this function.
The step value for x is (10-0)/100=0.1.
Plot the function y(x)=e–0.5x cos(2x) on the same axes. Use a 3-point-wide dashed red line for this function.
The step value for x is the same as the previous function.
The plot is attached.
Z- score is a statistical tool that is used to determine the probability of finding a number or a value under a normal distribution plot. A normal distribution assumes that the mean is equal to zero and that the standard deviation is equal to 1. Using the z-score table, we can find the probability either on the right side or the left side. The expression to find the z score is z = (x -∪)/∅ where ∪ is the mean and ∅ is the standard deviation. Given ∪ equal to 571, ∅ equal to 236.5 and x equal to 724, we substitute these values to
z = (x -∪)/∅
z = (724-571)/236.5
z = 0.6469
Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (- 2, - 1)
m = = = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 1), then
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation in slope- intercept form
The volume of cylinder is 1205.76 cubic inches
<em><u>Solution:</u></em>
We have to find the volume of cylinder
<em><u>The volume of cylinder is given by formula:</u></em>
Where "r" is the radius and "h" is the height of cylinder
<em><u>Given dimensions are:</u></em>
Radius = 8 inches
Height = 0.5 feet
<em><u>Convert feet to inches</u></em>
1 feet = 12 inches
Therefore,
0.5 feet = 12 x 0.5 = 6 inches
Thus, we have got,
height = 6 inches
<em><u>Substitute r = 8 inches and h = 6 inches in formula:</u></em>
Thus volume of cylinder is 1205.76 cubic inches
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
Step-by-step explanation: