(If I think it’s right I’ll make you brainless answer) Mark is building a scale model of his car as shown in the diagram. The ac
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Answer:
The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as .
Step-by-step explanation:
A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).
It is asked to find the linear equation which satisfies the given condition.
Step 1 of 3
Determine the slope of the line.
The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,
Substitute 2&4 for and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
Step 2 of 3
Write the linear equation in point-slope form.
A linear equation in point slope form is given as,
Substitute for m,-1 for
, and 4 for
in the above equation and simplify using the distributive property as follows,
Step 3 of 3
Simplify the equation further.
Add 4 on each side of the equation , and simplify as follows,
This is the required linear equation.
Answer:
Step-by-step explanation:
Rn(x) →0
f(x) = 10/x
a = -2
Taylor series for the function <em>f </em>at the number a is:
............ equation (1)
Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2
f(x) = 10/x f(-2) = 10/-2
f'(x) = -10/x² f'(-2) = -10/(-2)²
f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³
f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴
f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵
∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)
So, we get Or