Arc length Find the length of the curve y = In x on the interval [1, e*).

Q: u= - e' sinhx satisfies one of the f ollowing u = -u O"xx Not harmonic Harmonic u =u O "x

A: U is not harmonic

Q: length of the curve y Set up the integral which gives the arc 0<x< 2.

A: To set up the integral which gives the arc length of the curve y = ex, 0 ≤ x ≤ 2.

Q: 2. Find the volume generated by revolving the area under the curve y = e* from x = 0 to x = 1 about…

A: We will solve the problem.

Q: Unit area sine curve Find the value of c such that the region bounded by y = c sin x and the x-axis…

A: Given :- y = c sin x and the region bounded by y = c sin x and the x-axis on the interval [0, π] has…

Q: sine a, +e-rag – 2cos@sinpas v x F(1,"/2, "/3 =?

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Q: 2. Region R is bounded by the give curves. Find its area.

A: Given: x=-y-1x=0y=5

Q: sin x Use a CAS to plot the region of integrati on for 0 y dx dy. Then use this plot to switch the…

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Q: Determine the area bounded by the curve y = x(2- x)

A: Given, Area bounded by the curve  and the x-axis.

Q: derivative Shoue that the total in cylindrical coordlinates is givenr by DV Dt

A: To show, the total derivative in cylindrical coordinates is The total derivative in cylindrical…

Q: tan y What is the area bounded by the curve x = = ? and the y-axis from y to y 6.

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Q: sec (In x) + sec2(In x) tan(In x) 2х Given: dx Find: du tan(in x) 2х sec³(In x) + sec²(In x) sec(in…

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Q: Arc length Find the length of the curve y = x4 on the interval [0, 1]. (Hint: Write the arc length…

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Q: bounded by the curve. Find the area y=2x+₁²₁ y=10x-x²

A: Given:  the curve is y=2x+12                               y=10x-x2

Q: segment XY. What is the length of segment XY?

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Q: Inteprete Show your work COS dx

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Q: Function from arc length Find a curve that passes through the point 11, 52 and has an arc length on…

A: To find a curve that passes through the point (1,5) and has an arc length on the interval [2,6]…

Q: Formula, Arc Length = | /1+ [f'(x)]² dx. Where f'(x) denotes the first derivative of f(x). Given the…

A: The formula for the arc length of a function f(x) bounded by the interval [a,b] is: Arc…

Q: Length of a catenary Show that the arc length of the catenary y = cosh x over the interval [0, a] is…

A: Given  The curve is  y=cosh x over the interval [0,a] .     Formula  Arc length formula…

Q: Arc length Find the length of the curve y = In (sin x), 6 2

A: y=lnsin x, π6≤x≤π2

Q: Average velocity Find the average velocity of a projectile whose velocity over the interval 0 s ts i…

A:

Q: 3. Function y = 4 cos x at the point with the abscissa x A. Point of Tangency B. The Gradient of the…

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Q: sechudu - 2tan".c -tan (sinhu) - C

A: Use the exponential form of sechu and easily prove the integral.I have used many inverse…

Q: Find the exact value of * dx. Find the error of approximation between the exact value and the value…

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Q: Arcsin y dy

A: Let us find the value of ∫01Arcsiny dy. This can also be written as ∫01sin-1y dy Let I=∫01sin-1y dy…

Q: Arc length Find the length of the curve y = ln (sec x), for 0 ≤ x ≤ π/4.

A: Given:y=lnsecx    for 0≤x≤π4Length of the curve:L=∫ab 1+dydx2  dx

Q: Fine arc length of AB in terms of n and using 3.14

A: Use angle formula for arc Convert angle in radian

Q: liminate the parameter

A: Given: a) x=tan t and y=sec2t -1 b) x=t+1 and y=1t+1 To eliminate: The parameter.

Q: ntegral of arcsin((1/2)x)

A: Given: ∫sin-1x2dx

Q: Find the volume generated by revolving the area under the curve y = e* from x = 0 to x = 1 about the…

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Q: volume of the solid generated by the curve e-", between x = 3 and x = 8 about the axis is

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: Arc length Find the length of the curve 3 x² + y V3 -sin from x = 0 to x = 1. V3

A: y=x23-x2+32sin-1x3 Differentiating with respect to x, we get…

Q: [sinh4dx 11. cosh2x

A:

Q: Use a graphing utility to determine the number of times the curves y = x' and y = 9 – x intersect;…

A: Given the curve y=x3 and y=9-x. We need to use a graphing utility to determine the number of times…

Q: Qi. Use first principle rule and proue that dy secl tene if y = secxton x · %3D

A: Assume y=sec x. Use the first principle rule for derivative if y = sec x.…

Q: sinx Evaluate the integral dx 1-cOsx using Karl Weierstrass substitution.

A: We need to evaluate the given integral using Karl Weierstrass substitution.

Q: the area of the region bounded by the graph of f(x) = cos x, the x-axis and the vertical lines.x==,…

A: To find the area of the region that is bounded by the graph of fx=cosx, the x-axis and the vertical…

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

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Q: Approximate the area under a curve using midpoint approximation Question Approximate the area under…

A: Given:

Q: The region 2 is bounded by the curve y = =÷x and x = a) Sketch and shade the region 2. b) Find the…

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Q: 1 arctan y + arctan x =0 %3D y'+1

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Q: (sinh4dx 11. cosh2x

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: A solid is generated by revolving the 1-st quadrant area bounded by 5 X = 1, x 5 about Y-axis . y =…

A: We'll answer the first question since the exact one wasn't specified.  Please submit a new question…

Q: A thin metal plate covers the 1-st quadrant area bounded by y = 8x and y = 2x' a) Sketch the bounded…

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Q: Arc length Find the length of the curve y = In (sec x), for 0 <xs #/4.

A: Given that: y=ln(secx)    for   0≤x≤π/4

Q: Average velocity Find the average velocity of a projectile whose velocity over the interval 0 ≤ t ≤…

A: Given, Velocity function, v(t)=10sin(3t), 0≤t≤π

Q: Approximately, using differentials, find the area of a circular ring with an inner radius of 30cm…

A: Solution: