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3 years ago

Pls this is my last question !!

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

7 0

Answer:

the 1st 2nd and last one

Step-by-step explanation:

emmainna [20.7K]3 years ago

3 0

Answer:

The first one, the third and the fourth one.

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Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your

BaLLatris [955]

$f(x,y)=\dfrac{y^3}x$

a. The gradient is

$\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath$

$\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}$

b. The gradient at point P(1, 2) is

$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

$D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}$

It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

$\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2$

Then

$D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}$

$\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}$

7 0

3 years ago

Rewrite using positive exponents

Oxana [17]

Answer:

Your selection is appropriate

Step-by-step explanation:

A negative exponent in the numerator is equivalent to a positive exponent in the denominator, and vice versa.

... a⁻² = 1/a²

____

2⁴ multiplies the variable expression no matter which way it is written.

4 0

3 years ago

Help me please algebra 2 PLEASSEEEEE!!!

liq [111]

Answer:

29.74 degrees.

Step-by-step explanation:

Tan(theta) = opposite / adjcent.

opposite = 8

adjacent = 14

Tan(theta) = 8/14

Tan(theta) = 0.5714

theta = tan^-1(0.5714)

theta = 29.74 degrees

5 0

3 years ago

Which statements are true? Check all that apply.

Aleksandr-060686 [28]

Answer:

um ok i do not know

Step-by-step explanation:

7 0

2 years ago

in 2019 there were 16 named storms, of which 8 grew into hurricanes and 5 were major. What fraction of hurricanes were major?

olga2289 [7]

There were 16 total storms, meaning our denominator is 16. Since 8 grew into hurricanes, we can leave that alone. Since 5 out of 16 storms were major, 5 is our numerator.

5/16 storms were major because 8 were hurricanes and the other 3 were other kinds of storms. As a decimal conversion, about 31% of these storms were major.

How to find the percentage conversion:

Step 1: We take the fraction 5/16.

Step 2: Since our numerator is 5 and the default denominator is a maximum of 100, we can multiply 5 by 100.

5 x 100 = 500

Step 3: We can divide 100 by 16 to get our decimal conversion.

100 divided by 16 will give us 31.25, which also is representative of 31 and 1/4 added together.

Your final answer: With there being 16 storms, 5 of these storms are major (5/16). In terms of if there were 100 total storms, about 3/10 of these storms were major.

6 0

2 years ago