Compute the arc length of y = ln(x) – (1/8)x² on 1< < 3

Q: y = Arctan(sec (3x)) +ncot(2x)

A: Given: y = tan-1sec3x + πcot2x To find: The value of dydx

Q: arctan( sine*

A: Given that, y=tan-1sinex Then we get, y'=dydx=excosex1+sin2ex

Q: Find the equation of the tangent line to g(x) = (2x 3 + 4 tan x) / (5x 6 + 7 cos x ) at the point…

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Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: If y = arcsin(- 5x + 1), dy dr

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x -dx, in six…

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Q: Find the tangent line at t=1/2 for the graph given by x=4+4ln(2t) and y=t2+10 for all Real numbers…

A: The given curves are x = 4+4ln(2t) and y = t^2+10.In order to find the tangent line, first find the…

Q: Differentiate implicitly to find: dy/dx ln[sqrt(x2 + y2)] + x + y = 4

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Q: Consider the implicit curve C defined by the equation C: ln(²+1) + ln(y² + 1) = In 5. dy da dr dy'…

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Q: (a) Let f(x) = arcsin(x). Compute the following quantities. f(1/2) = Number f'(1/2) = Number (b) Let…

A: (a) f(x)=arcsin⁡(x)

Q: Find the linear approximation to y=arcsinh(2x) at x=6.

A: Given:y=arcsinh(2x) and x0=6To find:The linear approximation to y=arcsinh(2x) at x0=6

Q: Find the arc length of the graph of the function y=ln(ex+1ex−1)y=ln(ex+1ex−1) over the interval [[…

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Q: find the arc lenght of f(x)= ln(cos x) on [pi/4, pi/3]

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Q: C) use implicit nind ay differentiation to dn for 22 (Osh (y) - In (tanh 2) = y2 %3D

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Q: 213 If cot 0+ tan = and sece - sece = y, Prove that (x'y)° (xy²)*° = %3D

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Q: dy/dx for (ln(tan(2x)-sqrt(3+e^2x) / (pi(x)^3-cos^2(-5x))

A: Given,     y  =  ln(tan2x)-3+e2xπx3-cos2(-5x)

Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

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Q: s defined over ai at one point in tl асcordi

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Q: Cualuate the definle integial. x33 COs (xH) dx

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Q: Find the length of the curve y = ln x from x = 1 to x = e.

A: Given:Find the length of the curve y = ln x from x = 1 to x = e.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.