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4 years ago

I don’t know how to do this I need help can someone help me

Mathematics

1 answer:

sveta [45]4 years ago

4 0

Yes so for example starting at number 10 (x to the second power = 49) x would equal 7 because 7 to the second power is 49. (7x7= 49) Your answer is x=7.

Number 2 is x = 10 because 10 x 10 = 100

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What exspression is equal to 1/4 ?

Salsk061 [2.6K]

1/4 is equal to 25% and 0.25, hope this helps

7 0

3 years ago

Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xe^y + ye^z +

LUCKY_DIMON [66]

Answer:

$D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}$

Step-by-step explanation:

We need to find the directional derivative of the function at the given point in the direction of the vector v.

$f(x, y, z)=xe^{y} + ye^{z} + ze^{x}$ ,point (0, 0, 0) and $v=$

By Theorem: If f is a differentiable function of x , y and z , then f has a directional derivative for any unit vector $\overrightarrow{v} =$ and

$D_{\overrightarrow{u}}f(x,y,z)=f_{x}(x,y,z)u_1+f_{y}(x,y,z)u_2+f_{z}(x,y,z)u_3$

where $\overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}$

since, $v=$

then $\overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}$

$\overrightarrow{u}=< \frac{6}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{-3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}} >$

$\overrightarrow{u}=< \frac{6}{\sqrt{54}},\frac{3}{\sqrt{54}},\frac{-3}{\sqrt{54}} >$

The partial derivatives are

$f_{x}(x,y,z)=e^{y}+ze^{x}$

$f_{y}(x,y,z)=xe^{y}+e^{z}$

$f_{z}(x,y,z)=ye^{z}+e^{x}$

Then the directional derivative is

$D_{\vec{u}}f(x,y,z)=(e^{y}+ze^{x})(\frac{6}{\sqrt{54}})+(xe^{y}+e^{z})(\frac{3}{\sqrt{54}})+(ye^{z}+e^{x})(\frac{-3}{\sqrt{54}})$

so, directional derivative at point (0,0,0)

$D_{\vec{u}}f(0,0,0)=(e^{0}+0e^{0})(\frac{6}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{3}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{-3}{\sqrt{54}})$

$D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}+\frac{3}{\sqrt{54}}+\frac{-3}{\sqrt{54}}$

$D_{\vec{u}}f(0,0,0)=\frac{6+3-3}{\sqrt{54}}$

$D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}$

3 0

4 years ago

Answers ASAP simplify the ratio answer both questions

ruslelena [56]

Answer:

The answers are 40 : 1 and 16 : 5

Step-by-step explanation:

3. ) 400 : 10

Cancel out two of the zeros to get-

40 : 1

6. ) 1600m : 5km

1 km = 100 m, Therefore-

1600 : 500

Cancel out the zeros to get-

16 : 5

4 0

3 years ago

4/5(2x+5)−4=1<br> btw 4/5 are fractions

Crazy boy [7]

4/5(2x+5)-4=1
8x/5+20/5=5
8x/5=5-20/5
8x/5=1
8x=5
x=5/8

4 0

3 years ago

Read 2 more answers

Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.

s2008m [1.1K]

Y = -2x + 4
6x + 3y = 6x + 3(-2x + 4) = 6x - 6x + 12 = 12
⇒ y = -2x + 4 == 6x + 3y = 12 ⇒ invinite solutions: 12
⇒ no solutions -12, -4, 0, 4

6 0

4 years ago