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Mathematics

11th Grade

Used 18+ times

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Determine the dydx \frac{dy}{dx\ } of xy+x2=5xy+x^2=5

  dydx=−2x−y\frac{dy}{dx}=-2x-y

dydx=−2x\frac{dy}{dx}=-2x

dydx=2x−y\frac{dy}{dx}=2x-y

dydx=−2x−1\frac{dy}{dx}=-2x-1

2.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Determine the dydx\frac{dy}{dx} of x3+y3=8x^3+y^3=8

dydx=x2y2\frac{dy}{dx}=x^2y^2

dydx=x2y2\frac{dy}{dx}=\frac{x^2}{y^2}

dydx=−x2y2\frac{dy}{dx}=-\frac{x^2}{y^2}

dydx=xy\frac{dy}{dx}=\frac{x}{y}

3.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Determine the dydx\frac{dy}{dx} of y2=ln⁡⁡(2x2+3x−1)y^2=\ln⁡\left(2x^2+3x-1\right)

dydx= 4x+32y(2x2+3x−1)\frac{dy}{dx}=\ \frac{4x+3}{2y(2x^2+3x-1)}

dydx=12y(2x2+3x−1)\frac{dy}{dx}=\frac{1}{2y(2x^2+3x-1)}

dydx=2y(2x2+3x−1)\frac{dy}{dx}=2y(2x^2+3x-1)

dydx=−4x+32y(2x2+3x−1)\frac{dy}{dx}=-\frac{4x+3}{2y(2x^2+3x-1)}

4.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Determine the dydx\frac{dy}{dx} of y2+cos⁡x=4y^2+\cos x=4

dydx=−sin⁡x2y\frac{dy}{dx}=-\frac{\sin x}{2y}

dydx=−sin⁡x2\frac{dy}{dx}=-\frac{\sin x}{2}

dydx=−sin⁡x\frac{dy}{dx}=-\sin x

dydx=sin⁡x2y\frac{dy}{dx}=\frac{\sin x}{2y}

5.

MULTIPLE SELECT QUESTION

30 sec • 2 pts

Determine the dydx\frac{dy}{dx} of x3+y3=9xyx^3+y^3=9xy

dydx= (3x2−9y)(3y2−9x)\frac{dy}{dx}=\ \frac{(3x^2-9y)}{(3y^2-9x)}

dydx= 3y−x2y2−3x \frac{dy}{dx}=\ \frac{3y-x^2}{y^2-3x\ }

dxdx=x2y2−3yy\frac{dx}{dx}=\frac{x^2}{y^2}-\frac{3y}{y}

none of the above

6.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Determine the dydx \frac{dy}{dx\ } of x+sin⁡⁡y=4xx+\sin⁡y=4x

dydx=3cos⁡⁡y\frac{dy}{dx}=3\cos⁡y

dydx=cos⁡3y\frac{dy}{dx}=\cos3y

dydx=3cos⁡3y\frac{dy}{dx}=3\cos3y

dydx=3cos⁡⁡y\frac{dy}{dx}=\frac{3}{\cos⁡y}

7.

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Determine the dydx\frac{dy}{dx} y2=(2x2+4)2y^2=(2x^2+4)^2

dydx= (8x3+16x) 2y\frac{dy}{dx}=\ \frac{(8x^3+16x)\ }{2y}

dydx= (8x3+16x) y\frac{dy}{dx}=\ \frac{(8x^3+16x)\ }{y}

dydx= 2(8x3+16x) y\frac{dy}{dx}=\ \frac{2(8x^3+16x)\ }{y}

dydx= −(8x3+16x) y\frac{dy}{dx}=\ -\frac{(8x^3+16x)\ }{y}

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