Sketch the graph of the following between x = 4T and x = 4т. y = sin x 0.5 -Зл -2л 2л 47 -0.5-

Q: H.w Find the enlsed between yasinx, ya cas X arca

A: In the question it is asked to calculate the are enclosed between y = sin(x) and y = cos(x) when x…

Q: Find the arc length of the graph of the function over the indicated interval.

A: Using the power rule we find the derivative of y

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0S0< x.…

A: Given :           r=6 cosθ

Q: Find the length of the curve 7(t) = (4 cos(3t), 4 sin(3t), 4t) for – 4 <t < 2 Give your answer to…

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Q: Let C be the graph of the equation In(3y – 2e") = sinh“(Tx) – tan(y – 1). | dy (a) Find dr (b) Find…

A:

Q: Find the length of the following curve: y = ln(cos(x)) from x=0 to x=pi/4

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Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: Find dy/dx for the following functi 5" + 5*y = In sin-1 e*

A:

Q: Find the equation of the tangent line to the curve y = 5 sec(x) – 10 cos(x) at the point (T/3,5).…

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Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: Find the arc length of the graph of the function y=2x32+3y=2x32+3 over the interval [0,9][0,9].

A: Here we have to find the arc length of the graph of the function y= 2x3/2 +3 over the interval [0,9]

Q: 26) y = tan((T/6)x) Period: TT. -217 -ㅠ TT 21T -2 -1 -1 -2 -ㅠ MCL @01 %24 ElN-

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Q: 2. Find the arc length of the curve y= from x-2 to xD3 16 2x2

A: The solution is given as

Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: Find a path c(t) that traces the parabolic arc y = x2 from (0, 0) to (3, 9) for 0 ≤ t ≤ 1.

A: Given parabolic arc y=x2 from 0,0 to 3,9 for 0≤t≤1. The path ct that traces the parabolic arc has to…

Q: Find the arc length of the graph of the function over the indicated interval.

A:

Q: Find the arc length of the graph of the function over the indicated interval.

A:

Q: B) Find (dy/dx) for the following 1. y = tan2(cosx)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 9. Find the arc length of the curve 24xy = x* + 48 from x = 2 to x 4.

A:

Q: Find the length of the curve 7(t) = (cos(4t), sin(4t), 5t) for – 8 <t< 1 Give your answer to two…

A: use the arc length formula for finding length.

Q: Find the equation of the tangent line to the curve y = 3 sec(x) – 6 cos(x) at the point (T/3, 3).…

A: Given : y =3secx - 6cos(x)

Q: Find the arc length of the graph of the function over the indicated interval.

A:

Q: Find the lengths of the following curves: e. x = 8cost + 8t sint and y = 8 sin t – 8t cos t, 0stsn/2

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Q: Q3 Find dy/dx on the graph y sec/x+ y? = cos2x at point (1, 2).

A: We have to find dy/dx at (1,2).

Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

Q: 1. Find the arclength of y= (4 -x3,3/2 from x = 1 to x = 8.

A: The arclength of given equation

Q: For a cosine function with amplitude A=0.75A=0.75 and period T=10T=10, what is y(4)y(4)?

A:

Q: The equation for the tanget to graph of y=sin^1(x/2) at the origin is

A: Given, y=sin1x2 Differentiate the given function with respect to x we get, dydx=cosx212 At point…

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A: Given- y=51+cosx and consider the figure, To find- The average height of the wave above the trough…

Q: Find the arc length of the graph y =(x2 + 8)°/2 from x = 1 to x = 4. 12

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Q: Sketch the graph of y = 2 cos (r) +1 on the axes below. 4 -1/2 T/2 Зл /2 27 -1 -2 -3 -4 2.

A: Given that: y = 2cos12 x+1

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOL'N): у%3D 3…

A: given that y=3 arccos1-x3+6x-x2 find the second derivative of y

Q: Find the exact length of the curve. y = 2 In(cos (÷)) Tt/3 < x <T/2

A: Here given Differentiate the given function with respect to x using the chain rule of derivative

Q: Find the exact length of the curve. x = 9 cos(t) - cos(9t), y = 9 sin(t) - sin(9r), Ostsn 9 cos (47)…

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Q: Q3 Find dyldx on the graph y sec /x2 + y cos2x at point (1, 2). ес

A: We have to differentiate the given function with respect to x.

Q: O) skelch a graph of the Punchion y=sinx- Sin3X at [ej z0] 18

A:

Q: Match the graphs with the correct equation below 1. y=3+ sinz 2. 3. 4. y = -3+ cosz y = sin 2 y =…

A: The given functions are1. y=3+sin x2. y=-3+cos x3. y=sin 2x-π24. y=cos 2x-π2

Q: Let C be the graph of the equation In(3y – 2e") = sinh (ma) - tan(y- 1). dy (a) Find da (b) Find an…

A:

Q: Find the exact length of the curve. y = (x-x2)1/2 + sin-1((x1/2))

A: The arc length formula is given as

Q: Find the equation of the tangent line to the curve y = 4 sec(x) – 8 cos(x) at the poin (T/3, 4).…

A:

Q: Find the exact length of the curve. y = In(cos(x)), 0 s xs- TO 6. Need Help? Read It

A: Given problem:- Find the exact length of the curve.   y = In(cos(x)),   [0, π/6]

Q: ind an equation of the tungent line to y= 45in2 X at point (i II

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Q: Sketch the graph of y = t + sin t for 0 ≤ t ≤ 2π.

A: The given function is y=t+sin t    for  0≤t≤2π. Sketch the graph of the above function as shown…

Q: that cos (x-T) 2/a Find the puints on the curve y= 2x-3x-12.X + 20, where the tangent is parallel to…

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Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A: Solution is given below

Q: Find the exact arc length of the curve y = (x^6+8)/16x^2 from x = 2 to x = 3

A: We first write y as two terms and then find dy/dx using the power rule