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yaroslaw [1]
3 years ago
5

Determine if f(x, y) = 10 − x^2 − y^2

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Answer:

Step-by-step explanation:

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. x is treat any other variable as a constant.

dz/dx=0-2x-0

dz/dx=-2x

Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.

Since this result is negative, it mrans as x increases z decreases.

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. y is treat any other variable as a constant.

dz/dx=0-0-2y

dz/dx=-2y

Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.

Since this result is positive it mrans as y increases z decreases.

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$19.4

Step-by-step explanation:

Simple Interest=SI

Principle(deposit)=P(97)

Rate= R(4/100=0.04)

Time= T(5)

SI=P•R•T

SI=97x0.04x5

SI=19.4

Interest earned = $19.4

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Find the Least Common<br>Multiple of 26 and 38.​
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Answer:

494

Step-by-step explanation:

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Please explain step by step for 0.67÷0.3=?
pentagon [3]
Multiply each of the numbers by a ten to a power that they both become whole numbers.

0.67 * 10^2 = 67
0.3 * 10^2 = 30

Divide as usual.

67 / 30 = 2 \frac{1}{3}

So, the answer is 2 1/3.
3 0
3 years ago
Identify two composite numbers that each have 8 as a factor.
Dima020 [189]
<span>A composite number, we remember, is a whole number (no decimals or fractions) that can evenly divide (again, into no fractions or decimals) into two numbers other than itself and 1 (sort of the opposite of a prime number). So, 8 needs to be one of the two numbers. Pick another number--any whole number--and multiply it by 8. The result will be your composite number. Two examples: 8 times 6 equals 48. This works as 48 divided by 8 equals 6, both of which are whole numbers other than 48. Another is 72, the product of 8 times 9.</span>
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3 years ago
(x+1)^2+(x-1)^2-2x(x+2)=0
antoniya [11.8K]

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • (x+1)^2+(x-1)^2-2x(x+2)=0
  • x^2 + 2x + 1 + x^2 - 2x + 1 -2x^2 -4x = 0
  • (x^2 + x^2-2x^2) + (2x-2x-4x)+(1+1)=0
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Step 2: Subtract 2 from both sides.

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Step 3: Divide both sides by -4.

  • \frac{-4x}{-4} = \frac{-2}{-4}
  • x = \frac{1}{2}
8 0
2 years ago
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