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skelet666 [1.2K]
2 years ago
15

What is the value of f(x) when x = 4 in the piecewise function f(x) = 2x² when x>4

Mathematics
1 answer:
zepelin [54]2 years ago
6 0

Answer:

16

Step-by-step explanation:

f(x) = 2x² when x>4

We cannot use this expression of f to calculate f(4)

because ,this expression define f for the value of x

that are greater (not equal) than 4.

………………………………………………………

f(x) = 4x when x ≤ 4 , here x is can be equal to 4

(notice the sign ≤ )

Therefore

f(4) = 4 × (4) = 16

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Step-by-step explanation:

Given

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Required

The solution

Differentiate y=c_1e^x +c_2e^{-x

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Next, we solve for c1 and c2

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So, we have:

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So, we have:

y' = c_1e^x - c_2e^{-x}

e = c_1 * e^1 - c_2 * e^{-1}

e = c_1 e - \frac{1}{e}c_2 --- (2)

Add (1) and (2)

0 + e = c_1e + c_1e + \frac{1}{e}c_2 - \frac{1}{e}c_2

e = 2c_1e

Divide both sided by e

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Divide both sides by 2

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Rewrite as:

\frac{1}{e}c_2 = -\frac{1}{2} e

Multiply both sides by e

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