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3 years ago

Given f(x) = x^2 + 5, g(x) = √x, and h(x) = x - 4, perform each operation. f(g(x)) = ?

Mathematics

1 answer:

bagirrra123 [75]3 years ago

7 0

Answer: x + 5

Step-by-step explanation:

f(x) = x² + 5 g(x) = √x

f(g(x)) = (√x)² + 5 (replaced the x in f(x) with √x)

= x + 5

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2 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

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Answer- Length of the curve of intersection is 13.5191 sq.units

Solution-

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

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$\frac{dy}{dt} = 2 \cos t$

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As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

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$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

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3 years ago

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2 years ago

i will give 1534!!!!A CFL factory uses 24325.208 L of water in 4 hours. How much water does the factory use in 3 hours?

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Answer:

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24325.208 / 4= 6081.302

meaning 1 hour is 6081.302

so 3 hours is 6081.302*3= 18243.906

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2 years ago