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3 years ago

Given y=x^3-2x^2-15x; find the relative minimum and maximum.

Mathematics

1 answer:

Harman [31]3 years ago

3 0

The minimum is x=3

The maximum is x=-(5/3)

I hope it helps!

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Write an equivalent expression for the following by combining like terms: 4y − y + 7y

Assoli18 [71]

4y - y + 7y

4y - y = 3y

3y + 7y = 10y

10y is your answer

hope this helps

4 0

3 years ago

Write an equivalent fraction of

matrenka [14]

Answer:

<h2>here's the answer</h2>

Step-by-step explanation:

$to \: do \: so \: we \: have \: to \: multiply \: \frac{9}{6} \: by \: \frac{8}{5} \: so$

$\frac{9}{6} \times \frac{8}{5}$

$\frac{72}{30}$

6 0

3 years ago

Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1

belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

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

By using integration formula

$\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c$

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

$\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx$

<em>On integration , we get</em>

= $(\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}$

$F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)$

= $(\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))$

After simplification and cancellation we get

= $\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6$

on calculation , we get

= $\frac{124,416}{5} + \frac{864}{3} + 180$

On L.C.M 15

= $\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}$

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0

3 years ago

Can u answer fast please

Gnesinka [82]

C. e

Step-by-step explanation:

$ln( {e}^{e} ) = e ln(e ) = e(1) = e$

6 0

2 years ago

Is 5 a natural whole integer or rational or irrational

lara [203]

Answer:

Rational number

Step-by-step explanation:

4 0

3 years ago

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