2 years ago

Use the function f (x) = -2x4 + 3x) – 4x+ 9x2 + 2x – 5 to complete these sentences.

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

6 0

Answer:

srry need ko den tan

Step-by-step explanation:

pa brainly mo nalang

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2 years ago

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

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$W =15 *\frac{2700}{2}$

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Convert to Nm

$W =\frac{20250Nm}{100}$

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3 years ago