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3 years ago

Pls answer Subtract (17+4.5m+8k)-(7.5m-9+4k)

Mathematics

1 answer:

gladu [14]3 years ago

3 0

The answer would be, 26-3m+4k

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3 years ago

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3 years ago

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Compute the exact value of the function for the given x-value without using a calculator. (5 points) f(x) = (1/4)^x for x = -3 a

konstantin123 [22]

Answer:

D. -1/64

Step-by-step explanation:

F(x) = (1/4)^-3

This is 1/4 to the power of -3

= -(1/4)*(-1/4)*(-1/4)

= -(1*1*1)/(4*4*4)

= -1/64

Another way to calculate this is (-1/4)*(-1/4)*(-1/4). This is the same as (-1/4)³

When solved out the solution = -1/64

Therefore the correct answer to this question is the last option, which is d.

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3 years ago

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = -f. If it is not, enter NON

GrogVix [38]

We need to have

$\dfrac{\partial f}{\partial x}=2x-4y$

$\dfrac{\partial f}{\partial y}=-4x+10y-5$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx=\int(2x-4y)\,\mathrm dx\implies f(x,y)=x^2-4xy+g(y)$

Differentiate with respect to $y$ to get

$\dfrac{\partial f}{\partial y}=-4x+10y-5=-4x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-5$

$\implies g(y)=5y^2-5y+C$

So we have

$f(x,y)=x^2-4xy+5y^2-5y+C$

which means $F$ is indeed conservative.

5 0

3 years ago

Pls answer Subtract (17+4.5m+8k)-(7.5m-9+4k)​

Pls answer Subtract (17+4.5m+8k)-(7.5m-9+4k)