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Mathematics

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Quiz

Lesson 1 Quiz: Three-Dimensional Cartesian Coordinates and Vector Operations

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  • Questions count: 3
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1.
If \(x = \sin t\) and \(y = \cos t\), then the second derivative \(\frac{d^2y}{dx^2}\) is equal to:
C) $-tan t$
B) \(-sec^3 t\)
A) $-cos t$
D) \(csc^2 t\)
2.
The derivative of f(x) = 4 x3 - 5 x2 + 7 x - 9 with respect to x is:
f'(x) = 12 x3 - 10 x2 + 7
f'(x) = 4 x2 - 5 x + 7
f'(x) = 12 x2 - 10 x
f'(x) = 12 x2 - 10 x + 7
3.
The slope of the tangent to the curve y = (x + 1)/(x - 1) at x = 2 is:
2
3
-2
-1
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