Find the slope of the tangent to y= -7Sin(x)+2cos(x) at x= 3π/4

1 answer:

6 0

Y = -7sin(x) + 2cos(x)
y = -7sin(3π/4) + 2cos(3π/4)
y = -7sin(9.42/4) + 2cos(9.42/4)
y = -7sin(2.355) + 2cos(2.355)
y = -7(0.03698381721) + 2(0.9993158646)
y = -0.2588867205 + 1.998631729
y = 1.739745009

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Help!! Thank you so much!!

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The volume we're looking for is the volume of both cones in the figure.

The volume of a cone is $V=\pi r^2\frac{h}{3}$ .

So, $V_{tot} = V_{1} + V_2$ .

<u>Cone 1's variables:</u>

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<u>Cone 2's variables:</u>

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Now we can just plug and chug!

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