10 cos(t) – 5 sin(2t), y 7 sin(t) Find the area of the region enclosed by the curve x = with 0

Q: 6. (d) Sketch the curve described by x = 2 sin t , y = 2 cos t (you can use your calculator). (e)…

A: To sketch the curve x=2sint,y=2cost

Q: 4) Estimate tan (0.5) using the tangent line to y = tan(x) %3D 6

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Q: a). Find y' if sin(xr+ y)= y² cos x sin(x+ y)= y° cos x cos X by b). Sketch a graph of

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Q: 8. Find for y=√√4x (arcsin(x²+2x)) dx

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Q: arc tan (2x)

A: Explained below

Q: Sketch exactly two full periods of y=-3/2 sin (x/2- pi/4). Indicate all the key points on the x-axis…

A: Given: y=-32 sin x2-π4 To sketch for two full periods.

Q: 30. (cosa tan x) = O A OB O OD (A) secr+sina tanz (B) (C) (D) cos x - sin rsec²r sin r

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Q: Find the area of the shaded region. r² = sin(20) L

A: GivenEquation of the curve in polar coordinate  asAimTo find the area of the shaded region.1) The…

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: Find any relative extrema of the function f(x) = arcsin x − 2x

A: Given function f(x) - f(x) = sin-1x-2xDifferentiating with respect to x - f'(x) = ddxsin-1x-2xf'(x)…

Q: 11. Let h(z) = (arcsin(5z) + In(4 – z))27. Find h'(z). 12. Find in terms of x and y if arcsin(ry) =…

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Q: 7. Find the area of the region cut from the first quadrant by the curve r = 2(2 sin 20)¹/2

A: Solution :