f(x, y, z) = xz + yz + xy, g(t) = (et, cos(t), sin(t))

Answer:

[tex]\displaystyle y' = \frac{-1}{x^4}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{1}{3x^3}[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

1

Step-by-step explanation:

Answer:

14 is C and 13 is also C

Step-by-step explanation:

so 14 and 13 a both C

mark brainliest or give 1 heart and 5 stars or maybe both

Answer:

Hello . ♡

The answer to your question is : −370 .

Step-by-step explanation:

Hope this helps u ;)

Answer:

B: y = 3x + 6

Answer:

Drink = 1.4

Hot dog = 1.75

x + y = 3.15

Step-by-step explanation:

Let drink = x ; hot dog = y

3x + 2y = 7.70 - - (1)

2x + y = 4.55 - - - (2)

From (2)

y = 4.55 - 2x - - - (3)

Put y = 4.55 - 2x in (1)

3x + 2(4.55 - 2x) = 7.70

3x + 9.1 - 4x = 7.70

-x = 7.7 - 9.1

-x = - 1.4

x = 1.4

Put x = 1.4 in (3)

y = 4.55 - 2(1.4)

y = 4.55 - 2.8

y = 1.75

Drink = 1.4

Hot dog = 1.75

x + y = 3.15

Step-by-step explanation:

Perimeter of figure =

[tex]w + x + x + y + y + y + y \\ = 1 \times w + 2 \times x + 4 \times y \\ = w + 2x + 4y[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be the population

so we have ,

2x= 6h

?= 3 days or 3×24h

by cross multiplication we have

2x× 72h= 6h×?

?= 2x×72/6 = 24x

So, in three days the bacteria will b 24 times current population.

Answer:

wowo cool

Step-by-step explanation:

Answer:

sounds cheeesyyy

Step-by-step explanation:

Answer:

the 3rd one is the answer .

Step-by-step explanation:

Hope it was helpful .

Answer:

BD = 21 units

Step-by-step explanation:

By applying mean ratio theorem in the given triangle ABC,

[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]

AD × CD = BD²

21 × 21 = BD²

BD² = (21)²

BD = 21

Therefore, measure of segment BD is 21 units.

Answer:

C. 24 12/20

Step-by-step explanation:

4 3/4 × 6 4/5

24 3/4 × 4/5

24 12/20

Answer:

55.64

Step-by-step explanation:

The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses

We will use the Pythagorean theorem:

x^2 = 106^2 - 92^2

= 11,236 -  8,464

= 2,772

= √2,772

x = 52.64978632

The height of the building:

h = x + 3

= 52.64978632 + 3

= 55.64978632

or

≈ 55.64 feet

Step-by-step explanation:

the answer to the nearest is 55.64

Answer:

x=3

Step-by-step explanation:

Hope this help and plz give me brainlist.

Answer:   x=3

Step-by-step explanation:   cuz Im know how to solve for x.    Hope its good!

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

When we replace proportional sign with an equal to sign, we get

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

hence, when j =6 and m=4, the value of G = 4.5

Answer:

40

Step-by-step explanation:

because a straight line is 180 degrees so 140 plus 40 equals 180

Answer:

40

Step-by-step explanation:

straight line is 180 degrees

180=140+x

140+40=180

Answer:

-5.2

Step-by-step explanation:

15.6 ÷ (-3) = -5.2

Answer:

4 times

Step-by-step explanation:

3+3+2=8

8*4=32

She can listen to part of her playlist in those extra three minutes, but the question asks for the ENTIRE PLAYLIST

Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

53 + 2444

= 0053 + 2444

= 2497

Answer:

C

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

Given:

The given vector is:

[tex]v=9i-6j[/tex]

To find:

The unit vector in the direction of the given vector.

Solution:

If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is

[tex]\hat v=\dfrac{v}{|v|}[/tex]

Where, [tex]|v|=\sqrt{a^2+b^2[/tex]

We have,

[tex]v=9i-6j[/tex]

Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,

[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]

[tex]|v|=\sqrt{81+36}[/tex]

[tex]|v|=\sqrt{117}[/tex]

[tex]|v|=3\sqrt{13}[/tex]

Now, the unit vector in the direction of the given vector is:

[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]

Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].

Answer:

20°

Step-by-step explanation:

ok so if 40 degrees is on one side its also on the side parallel from it

a straight line = 180 degrees

so 180 - 40 = 140

so 7x =140

we now divide 7 on both sides and get x=20 because the 7 cancels out

180 -40 =140

7x = 140

7x/7 =140/7

x=20

Hope I helped?

Answer:

x = -14

Steps:

Rewrite the equation as -8 = 6+x

Then move all terms not containing x to the right side of the equation.

x = -8-6

Afterwords subtrack.

x = -14.

hope this helps :)