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3 years ago

What is the algebraic expression for the following word phrase: the sum of 8m and 3?

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

8m+3

Because sum means adding so you add 8m and 3

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Find gradient xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to x, assuming y = y(x).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for dy/dx :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

$\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}$

If y ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}$

4 0

3 years ago

Identify whether each phrase is an expression, equation, or inequality.

Andreyy89

Answer:

Step-by-step explanation: 4y+8=9 is an equation. 3-2 is an expression. 7y<6 is an inequality!

7 0

3 years ago

Find the value of x in the triangle shown below.

almond37 [142]

Answer:

x=69.41860973

Step-by-step explanation:

We can use the law of sines

sin x sin 55

------------- = -----------

4 3.5

Using cross products

3.5 sin x = 4 sin 55

Divide each side by 3.5

sin x = 4/3.5 sin 55

Take the inverse sin of each side

x = sin ^-1 ( 4/3.5 sin 55)

x=69.41860973

7 0

3 years ago

Simplify ‐19 ‐ 7( ‐17z + 13) 4n ‐ 3( ‐9n + 13)

nataly862011 [7]

Answer:

for the first one it's 119z−110

the second one is 31n−39

i'm not sure if you wanted both together

so here just incase

31n+119z−149

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Hi guys can some one help me with this question pls this is kinda hard pls upload in a paper i need all answer i will give them

Ulleksa [173]

Answer:

Step-by-step explanation:

3 0

3 years ago