The distance the player is from the right post is = 5.1 meters
<h3>Calculation of distance using Pythagorean theorem</h3>
The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Formula for the Pythagorean theorem =
a²= b²+c²
From the diagram given,
The hypotenuse (a) = x²
b= 1.82²
c = 4.8²
x² = 1.82² + 4.8²
x²= 3.3124 + 23.04
x²= 26.3524
a= √26.3524
a= 5.1 meters.
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C. because her distance from home is decreasing
Answer:
Step-by-step explanation:
<u>Step 1: Subtract m from both sides
</u>
<u>Step 2: Divide both sides by -1
</u>
Answer:
The nth taylor polynomial for the given function is
P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴
Given:
f(x) = ln(x)
n = 4
c = 3
nth Taylor polynomial for the function, centered at c
The Taylor series for f(x) = ln x centered at 5 is:
Since, c = 5 so,
Now
f(5) = ln 5
f'(x) = 1/x ⇒ f'(5) = 1/5
f''(x) = -1/x² ⇒ f''(5) = -1/5² = -1/25
f'''(x) = 2/x³ ⇒ f'''(5) = 2/5³ = 2/125
f''''(x) = -6/x⁴ ⇒ f (5) = -6/5⁴ = -6/625
So Taylor polynomial for n = 4 is:
P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴
Hence,
The nth taylor polynomial for the given function is
P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴
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Answer:
b is the answer i think
Step-by-step explanation:
I learned this at some point
