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tankabanditka [31]
3 years ago
7

Determine f (x) = (x + 1)(x - 3)(x - 4)

Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

Step-by-step explanation:

(x+1)(x−3)(x−4)

=((x+1)(x−3))(x+−4)

=((x+1)(x−3))(x)+((x+1)(x−3))(−4)

=x3−2x2−3x−4x2+8x+12

=x3−6x2+5x+12

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To find the extreme values of a function​ f(x,y) on a curve xequals​x(t), yequals​y(t), treat f as a function of the single vari
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Answer:

Absolute maximum is 2  

Absolute minimum at -2

Step-by-step explanation:

The given parametric functions are:

x=2\cos t,y=2\sin t

By the chain rule:

f'(t)=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }

\frac{df}{dt} =\frac{2 \cos t}{-2\sin t} =-\cot(t)

At fixed points, f'(t)=0

\implies -\cot (t)=0

This gives t=\frac{\pi}{2} ,\frac{3\pi}{2} on 0\le t\le 2\pi

This implies that the extreme points are (2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2) and (2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)

By eliminating the parameter, we have x^2+y^2=4

This is a circle with radius 2, centered at the origin.

Hence (0,2) is an absolute maximum ,at t=\frac{\pi}{2} and (0,-2) is an absolute minimum at  t=\frac{3\pi}{2}

7 0
3 years ago
Forty-five states in a country have​ four-star hotels. Assume the country has 50 states.​ (a) What fraction of the states can cl
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A. 90% b. 5 c. 10/100 or 5/50 or 1/10
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Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.
quester [9]
An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex.  Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9).  Therefore, a = 5/9, and the 
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8 0
3 years ago
Which of the diagrams below represents the statement, "If it is not an apple, then it is not fruit"?
kherson [118]
I'm pretty sure it is figure A
3 0
3 years ago
Read 2 more answers
How do i do this. will give brainliest
Tomtit [17]

Try this option ↓

Step-by-step explanation:

1) according to the condition two angles are equal, then two sides are equal also, it means

2) √x+4=√(5x+4);

3) the 'x' can be calculated if to solve this equation:

\sqrt{x} +4=\sqrt{5x+4};

x+16+8\sqrt{x} =5x+4;

4x-12=8\sqrt{x} ;\ => \ x-2\sqrt{x} -3=0;

\left \{ {{\sqrt{x} =-1} \atop {\sqrt{x} =3}} \right. \ => \ x=9.

4) finally, answer: 9.

4 0
2 years ago
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