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3 years ago

F(x) = (x + 1)(x - 3)(x - 4)

Mathematics

2 answers:

Ulleksa [173]3 years ago

8 0

^^^^^^^^^^^^^^^^^^^^^^^^^

Vladimir [108]3 years ago

6 0

Answer:

f(x) x^3 - 2x^2 + 5x + 12

Step-by-step explanation:

Next time please share the goal. I'm guessing your intent was to multiply out the given function.

f(x) = (x^2 + x - 3x - 3)(x - 4), or

= (x^2 - 2x - 3)(x - 4)

Now apply the distributive property of multiplication:

f(x) = x^3 - 4x^2 - 2x^2 + 8x - 3x + 12, or

= x^3 - x^2(4 - 2) + x(5) + 12, or

f(x) x^3 - 2x^2 + 5x + 12

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coldgirl [10]

Answer:

Step-by-step explanation:

First you have to find the slope

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6-4 / 8-7 = 2/1 or 2

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I will choose (6,4)

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2 years ago

You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x: $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$ $\sqrt{2}$

y: -1 1 -1 1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

$m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

$2\theta = \cos^{-1}0$

$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

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The solutions listed from the smallest to the greatest are:

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2 years ago

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8090 [49]

To solve for radius use the volume formula and solve for r.

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320 = 20r²
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Answer is D. 4 feet.

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3 years ago

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sammy [17]

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