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3 years ago

Which of the following represents the set of possible rational roots for the

Mathematics

1 answer:

kakasveta [241]3 years ago

7 0

Answer:

<h2>The rational root of the given polynomial is 42.59.</h2>

Step-by-step explanation:

The polynomial is given by 2x + 5.82 - 81 - 10 = 0

or, 2x + 5.82 - 91 = 0

or, 2x = 85.18

or, x = 42.59.

The rational roots of any polynomial = the ratio of the factors of constants and factors of leading coefficients.

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Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=4, u′(0)=7, v(0)=2 and v′(0)=1. Find the values

Leona [35]

Answer with Step-by-step explanation:

We are given that u and v are functions of x and both are differentiable at x=0

$u(0)=4,u'(0)=7,v(0)=2,v'(0)=1$

a.We have to find the values of $\frac{d(uv)}{dx}$

$\frac{d(u\cdot v)}{dx}=u'v+uv'$

Using this formula

Then , we get

$[\frac{d(uv)}{dx}]_{x=0}=u'(0)v(0)+u(0)v'(0)=7(2)+4(1)=14+4=18$

$[\frac{d(uv)}{dx}]_{x=0}=18$

b. $\frac{d(u/v)}{dx}=\frac{u'v-uv'}{v^2}$

$[\frac{d(u/v)}{dx}]_{x=0}=\frac{u'(0)v(0)-u(0)v'(0)}{v^2(0)}=\frac{7(2)-4(1)}{2^2}=\frac{14-4}{4}=\frac{10}{4}=\frac{5}{2}$

$[\frac{d(u/v)}{dx}]_{x=0}=\frac{5}{2}$

$[\frac{d(v/u)}{dx}]_{x=0}=\frac{v'(0)u(0)-v(0)u'(0)}{u^2(0)}=\frac{1(4)-7(2)}{4^2}$

$[\frac{d(v/u)}{dx}]_{x=0}=\frac{-10}{16}=\frac{-5}{8}$

d. $\frac{d(-6v-9u)}{dx}=-6v'-9u'$

$[\frac{d(-6v-9u)}{dx}]_{x=0}=-6v'(0)-9u'(0)=-6(1)-9(7)=-6-63=-69$

$[\frac{d(-6v-9u)}{dx}]_{x=0}=-69$

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3 years ago

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance fro the same section of the race is disp

sergey [27]

Step-by-step explanation:

Ryan had a head start of 10 meters.

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4 years ago

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dybincka [34]

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4 years ago

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PLEASE HELP I NEED THIS BRAINLISEST AND 20 POINTS

Bingel [31]

Answer:

SA = 18.2+10.4h

59.8yd²

Step-by-step explanation:

Surface area of a 3D shape is the sum of the areas of its faces. A rectangular prism is made of 2 rectangles that make the top and bottom, plus four equal, larger rectangles.

surface area = 2(small rectangles)+4(large rectangles)

surface area = 2(3.5*2.6)+4(2.6h)

SA = 18.2+10.4h

SA = 18.2+10.4(4)

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SA = 59.8yd²

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3 years ago

A boat has a speed of 28 miles per hour in still water. the boat travels 80 miles upstream and 80 miles downstream on a river, c

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80+ 80= 160 miles

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4 years ago