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Rudiy27
3 years ago
7

Im so so sad worse day pls

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

The answer would be D) 12. because you use base times height.

Korvikt [17]3 years ago
7 0

Formula: base x height

Therefore: 4x3 = 12

Hope this helps!

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Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1
tatuchka [14]

Answer:

t_{1} = 0.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

t_{2} = 1.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Where \frac{dx}{dt} and \frac{dy}{dt} are the first derivatives of x and y regarding t. Let be x(t) =2\cdot \cos t and y(t) = 8\cdot \sin t, their first derivatives are found:

\frac{dx}{dt} = -2\cdot \sin t and \frac{dy}{dt} = 8\cdot \cos t

Thus, equation for the slope is:

\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}

\frac{dy}{dx} = -\frac{4}{\tan t}

If \frac{dy}{dx} = -1, then:

-1 = -\frac{4}{\tan t}

\tan t = 4

Tangent is positive at 1st quadrant and is a function with a periodicity of \pi, the set of solutions are:

t_{1} = 0.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

t_{2} = 1.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

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Answer:

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Step-by-step explanation:

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