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4 years ago

What is the value of the expression -3+6+r

Mathematics

1 answer:

denis23 [38]4 years ago

4 0

r+3

sum/substract -3+6 = 3

r+3

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6. y = -3x + 2<br> y = -3x - 7

Mkey [24]

Answer:

No Solution.

Step-by-step explanation:

y=-3x+2

y=-3x-7

------------

-3x+2=-3x-7

-3x-(-3x)+2=-7

-3x+3x+2=-7

2=-7

no solution

8 0

3 years ago

Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

3 0

3 years ago

PLEASE HELP! Simplify the expression and write any restrictions.

larisa86 [58]

Answer:

Step-by-step explanation:

2+2=4

4-1=3

Quick maths

3 0

3 years ago

When I solve this problem I get a big number, and I don't kwow if it's Ok:

Jlenok [28]

Answer:

undefined

Step-by-step explanation:

6 0

3 years ago

I need help Please!

goldenfox [79]

Answer:

To solve, use a simple one-step equation

Known: Number of coins; Number of Nickles.

Unknown: Number of Dimes.

a) To find the number of Dimes

b) Use x (or virtually any letter) to represent the unknown number of dimes

c) 9+x=13

d) Subtract 9 from both sides to cancel out the 9 and isolate the variable on one side. x=4

e) 9+4=13, so yes, the answer is correct

8 0

3 years ago

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