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3 years ago

Find f f'(x)=1+3sqrt(x) f(4)=25

1 answer:

6 0

It appears that you have a derivative and want to integrate...

dy/dx=1+3√x

y(x)=x+(2/3)x^(3/2)+C you are given that f(4)=25 so we can solve for the constant of integration...

y(4)=25=4+16/3+C

21=16/3+C

(63-16)/3=C

47/3=C so

f(x)=x+(2/3)x^(3/2)+47/3

f(x)=(3x+2x^(3/2)+47)/3

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3 years ago

Find the slope of the line through

Dafna11 [192]

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2 years ago

PLZ HELP! Determine the value of k. Round your answer to the nearest hundredth if necessary.

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Step-by-step explanation

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3 years ago

estamos construyendo una carretera que enlace los puntos a = 12 ,21 y b =(17,23) otro punto se encuentra en c =(3,9) es posible

Nadusha1986 [10]

Answer:

is not possible

Step-by-step explanation:

The question in English is

we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope ab

we have

a = (12 ,21) and b =(17,23)

substitute

$m=\frac{23-21}{17-12}$

$m=\frac{2}{5}$

step 2

Find the slope ac

we have

a = (12 ,21) and c =(3,9)

substitute

$m=\frac{9-21}{3-12}$

$m=\frac{-12}{-9}$

simplify

$m=\frac{4}{3}$

step 3

Compare slopes ab and ac

The slopes are different

That means ----> is not possible that a single road allows to join these three points

7 0

3 years ago

12.) Find the x-intercept and y intercept of the following equation. 9x + 6y = -36

Alik [6]

Answer:

Thevalue of x-intercept is 0

and y intercept is-6.

Step-by-step explanation:

here,9x+6y=-36

9x = -36 - 6y

x=(-36 -6y)/9

x=(-12-2y)/9.........(i)

putting value of x in question

9[(-12-2y)/9]+6y=-36

-12-2y+6y= -36

-12+4y= -36

4y=-24

y=-6

puting value of x in equation (i)

x=(-12-2y)/9

x=(-12-2×-6)/9

x=0

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3 years ago