The table shows transportation from five different bank accounts. Fill in the missing numbers

Suppose u and v are functions of x that are differentiable at x=0 and that u(0)= 7,u'(0)=-5,v(0)= -1, v'(0)= -4.

andriy [413]

This question is incomplete, the complete question is;

Suppose u and v are functions of x that are differentiable at x=0

and that { u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }

Find the values of the following derivatives at x = 0.

a) $\frac{d}{dx}$ ( uv )

b) $\frac{d}{dx}$ ( $\frac{u}{v}$ )

c) $\frac{d}{dx}$ ( $\frac{v}{u}$ )

Answer:

a) $\frac{d}{dx}$ ( uv ) = -23

b) $\frac{d}{dx}$ ( $\frac{u}{v}$ ) = 33

c) $\frac{d}{dx}$ ( $\frac{v}{u}$ ) = -32/49 or - 0.6531

Step-by-step explanation:

Given that;

{ u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }

a)

$\frac{d}{dx}$ ( uv )

we differentiate

$\frac{d}{dx}$ ( uv ) = uv' + vu'

at x = (0), we substitute our values

$\frac{d}{dx}$ ( uv ) = ( 7 × -4 ) + ( -1 × -5)

$\frac{d}{dx}$ ( uv ) = -28 + 5

$\frac{d}{dx}$ ( uv ) = -23

b)

$\frac{d}{dx}$ ( $\frac{u}{v}$ )

we differentiate

$\frac{d}{dx}$ ( $\frac{u}{v}$ ) = ( vu' - uv' ) / v²

at x=0, we substitute our values

$\frac{d}{dx}$ ( $\frac{u}{v}$ ) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²

$\frac{d}{dx}$ ( $\frac{u}{v}$ ) = (( 5 - ( -28 )) / 1

$\frac{d}{dx}$ ( $\frac{u}{v}$ ) = 33 / 1

$\frac{d}{dx}$ ( $\frac{u}{v}$ ) = 33

c) $\frac{d}{dx}$ ( $\frac{v}{u}$ )

we differentiate

$\frac{d}{dx}$ ( $\frac{v}{u}$ ) = ( uv' - vu' ) / u²

at x=0, we substitute our values

$\frac{d}{dx}$ ( $\frac{v}{u}$ ) = ( (7 × -4) - (-1 × -4) ) / (7)²

$\frac{d}{dx}$ ( $\frac{v}{u}$ ) = ( -28 - ( 4 ) ) / 49

$\frac{d}{dx}$ ( $\frac{v}{u}$ ) = ( -28 - 4 ) /49

$\frac{d}{dx}$ ( $\frac{v}{u}$ ) = -32 / 49

$\frac{d}{dx}$ ( $\frac{v}{u}$ ) = -32/49 or - 0.6531

6 0

2 years ago

a line has a slope of 8 and passes through the points (3, 26) and (-1,-6) what is the equation of the line?

ladessa [460]

Answer:

Step-by-step explanation:

$y = mx + b\\$

We know that $m$ is going to be 8

All that's left now is to find $b$

Let's make a system of equations where we plug in the known values of x and y for each coordinate

$\left \{ {{-6 = 8(-1) + b} \atop {26 = 8(3) + b}} \right. \\$

For this system of equations solution, please check the image that's annexed

Now that we know that $b$ is 2, we can plug that into $y = 8x+b$ and get

$y=8x+2$

We can graphically verify this answer by using a graphing calculator (if you have one) or Desmos (check the other image that's annexed)

Good luck!

4 0

2 years ago

Mark purchased a new refrigerator that sells for $1300 including tax and delivery. He paid $350 down and the remaining cost in f

sashaice [31]

Answer:

$ 190.00 a month.

Step-by-step explanation:

$350.00 subtracted from $1300.00 equals $950.00. $950.00 divided by 5 equals the amount of money Mark payed each of his remaining payments.

5 0

3 years ago

Find the length of arcAB. *

Naddik [55]

I hope this helps you

4 0

3 years ago

Solve for l, 2l+8=36

inna [77]

Step-by-step explanation:

2I+8=36

2I=36-8

2I=28

I=28/2

I=14

4 0

2 years ago