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3 years ago

Suppose u and v are differentiable functions of x and that

Mathematics

1 answer:

Nutka1998 [239]3 years ago

5 0

Answer:

B I personally think..

Step-by-step explanation:

Hi,

Use Differential Formula :

d(u(x) • v(x))/dx = u'(x) • v(x) + u(x) • v'(x)

at x = 1 :

d(u(1) • v(1))/dx = u'(1) • v(1) + u(1) • v'(1)

d(u(1) • v(1))/dx = -5 • 6 + 4 • -2

d(u(1) • v(1))/dx = -30 - 8

d(u(1) • v(1))/dx = -38

Hope this helped :)

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Solve the following 3 × 3 system. Enter the coordinates of the solution below.

defon

9514 1404 393

Answer:

(x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

(2x -3y -2z) +(x +3y +2z) = (4) +(-7)

3x = -3

x = -1

Adding equations 2 and 3:

(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

-3x -y = 3

Substituting for x, we get ...

(-3)(-1) -y = 3

0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

-1 +2z = -7

2z = -6 . . . . . add 1

z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

3 0

3 years ago

Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,

Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

$\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}$

4 0

3 years ago

2- Guillermo envasa 355 ml de agua

Lapatulllka [165]

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

7 0

3 years ago

HELP ME ASAP PLS

Katarina [22]

Answer:

Tommy had 56 cents in start and Loren had 7 cents in start.

Step-by-step explanation:

Let,

x be the money Tommy have.

y be the money Loren have.

According to given statement;

Tommy had 8 times more money than Loren.

x = 8y Eqn 1

Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore

x-14=y+35 Eqn 2

Putting x=8y in Eqn 2

$8y-14=y+35\\8y-y=35+14\\7y=49$

Dividing both sides by 7

$\frac{7y}{7}=\frac{49}{7}\\y=7$

Putting y=7 in Eqn 1

$x=8(7)\\x=56$

Hence,

Tommy had 56 cents in start and Loren had 7 cents in start.

6 0

2 years ago

Please help me :) i would appreciate it

chubhunter [2.5K]

Answer:

D. 15

Step-by-step explanation:

Given the expression, 32 + 2n - 9, and a value of <em>n </em>= -4:

You can substitute the value of <em>n</em> into the given expression:

= 32 + 2n - 9

= 32 + 2(-4) - 9

= 32 - 8 - 9

= 15

Therefore, the correct answer is D. 15

Please mark my answers as the Brainliest if my explanations were helpful :)

4 0

2 years ago

Read 2 more answers