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4 years ago

Square Root Of 0.36 is 1. 0.6 2. 0.06 4. 1.8 5. 0.18 please Help me

Mathematics

2 answers:

Gelneren [198K]4 years ago

6 0

Answer:

The answer is 0.6

Step-by-step explanation:

Square Root means ''a number that when multiplied by itself (squared) equals a given number'' which means all you need to do is find a number that can be multiplied by itself to get the square root of the number! Hope this helps

cestrela7 [59]4 years ago

4 0

0.6*0.6=0.36

So 0.6 is the answer.

-TheOneandOnly003

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Answer:

A. $\frac{\partial{h}}{\partial{t}}=0$

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A. The problems asked for 2 ways to solve it, expanding the equation with the substitution x(t)=2 cos(t) and y(t)=4 sin(t) to differentiate it . The other way is by chain rule.

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We start by substituting x(t)=2 cos(t) and y(t)=4 sin(t) in h(x,y)=4x2+y2:

$h(x,y)=4x^{2}+y^{2}= 4(2cos(t))^{2}+(4sin(t))^{2}\\h(x,y)=4(4cos^{2}(t))+(16sen^{2}(t))\\h(x,y)=16cos^{2}(t)+16sen^{2}(t)=16(sen^{2}(t)+cos^{2}(t))\\h(x,y)=16$

So, in the path that the hiker chose:

$\frac{\partial{h}}{\partial{t}}=0$

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We start differentiating h(x,y) using chain rule as follows:

$\frac{\partial{h}}{\partial{t}}= \frac{\partial{h}}{\partial{x}}\frac{\partial{x}}{\partial{t}}+\frac{\partial{h}}{\partial{y}}\frac{\partial{y}}{\partial{t}}$

Now, it´s easy to find all these derivatives:

$\frac{\partial{h}}{\partial{x}}=8x\\\frac{\partial{x}}{\partial{t}}=-2sin(t)\\\frac{\partial{h}}{\partial{y}}=2y\\\frac{\partial{y}}{\partial{t}}=4cos(t)$