3 years ago

Determine the value of x

Mathematics

1 answer:

Tomtit [17]3 years ago

4 0

Answer:

the value of x is 80

Step-by-step explanation:

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The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is $\frac{2}{3}$ .

Step-by-step explanation:

The given equation of ellipse is

$2x^2+xy+y^2=4$

Differentiate both sides with respect to x.

$\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)$

$\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)$

$4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0$

$(4x+y)+(x+2y)\frac{dy}{dx}=0$

$\frac{dy}{dx}=-\frac{4x+y}{x+2y}$

Calculate the value of \frac{dy}{dx} at (1,-2).

$\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}$

$\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}$

$\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}$

Therefore the slope of tangent at point (1,-2) is $\frac{2}{3}$ .

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3 years ago

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Which of the following is equivalent to the complex number i^8?

Maru [420]

Answer:

I think the answer is -1

Step-by-step explanation:

the sequence goes i, -i, 1, -1

Right? >_>

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There were 350 members in the high school marching band last year. This year, the number of marching band members increased by 5

Rudiy27

Answer:

The percentage of the number of marching band members increased by 16% this year.

Step-by-step explanation:

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56 is 16% of 350

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The answer is d. i hope this helps!

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The answer is B, which is -1.5.

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