Find dyldx: y = (x-1) v(2x - x^2) + Arcsin (x-1)

Q: The TrapZoidalrule for fdx = 5 and Midpointrule %3D fex) olx = 4 what value does Simp Sans rule give…

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Q: Evaluate and determine its particular antiderivative whose x-intercept is 3. y = arcsin () y =…

A: We have to find the particular antiderivative .

Q: If cosh x  =5/3 and x>0 , find the values of the other hyperbolicfunctions at x .

A: Given  cosh x  =53 , x>0

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Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (4,). %3D

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Q: Find the equation bounded by x = 9yeY and x = 3y2, y = 3 and y = 9 %3D %3D Write your answer in two…

A: solution is given below

Q: Find the Contour integration to

A: ∫-π-π11+sin2xdx∫aafxdx=0, a≠∞=0

Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

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Q: Find length of arc of the curve 9y2=4x3 from the origin to the point (3, 2√3)

A: Given curve is 9y2=4x3, and the point is 3,23.   The objective is to determine the length of arc of…

Q: x*Arcsinxe

A: we have to find

Q: Determine the equation of a sinusoidal function with a minimum at (2, 4), an amplitude of 3, and a…

A: Given:-for a sinusoidal functionminimum at (2, 4)amplitude=3period=10 equation of sinusoidal…

Q: where does this concave up and down?

A: A graph is concave up if f''x>0 and concave down if f''x<0. When f''x>0, it means…

Q: What is the maximum vertical distance between the line y = x + 2 and the parabola y = x2 for −1 ≤ x…

A: Consider the given line

Q: Find the parabola with equation y = ax2 + bx whose tangent line at (1, –1) has equation y = 3x – 4.…

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Q: Find the length of the arc of the curve 4y2 = 9x3 from the origin to the point (2,3v2).

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Q: Find an equation of the tangent plane to the surface 9x2 + y2 + 4z2 = 25, at the given point (0, −3,…

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

Q: Sketch a graph of y = 2 on [-1, 4] and use geometry to find theexact value of function given

A: Given : y=2 on -1,4 The graph is shown below: The shaded region is the required value of ∫-142dx

Q: Use shifting graph to sketch a) y = 1-|V2 – 2x| b) y = 1- sin (0.5x)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the points where the line y=−3xy=-3x intersects a circle of radius 2 centered at the origin.…

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Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

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Q: Find point on the ellipse x^2+2y^2=1  where the tangent line has a slope of 1.

A: We know, slope of tangent line = dydx

Q: Find an equation of the povalbola in standovet form focus at F(-4,0) and divectrix ;X=-4

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Q: find the point p on the line y=5x that is closest to the point (78,0). what is the least distance…

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Q: What is the length of the arc y = (x6/6) + (1/16x4) on the interval [1,2]?

A: Given, function and interval

Q: Define “hyperbolic” trajectories?

A: we have to define "hyperbolic" trajectories

Q: What is the maximum vertical distance between the line y = x + 2 and the parabola y = x2 for -1 <x<…

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Q: parametrically

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Q: Regionenclused by the_curve (r=2 cos20)-

A: Given:     r=2cos2θ

Q: Find the area of one side of the “winding wall” standing orthogo-nally on the curve y = x2, 0 &lt;=x…

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Q: cosax + sinx = 0, [0.2]

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Q: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x-coordinate…

A: It is given that the x coordinate increases at a steady 10 m/sec. dxdt=10msec. The equation of…

Q: find the arclength of y= 9-x° between its x-intercepts

A: Find the x-intercept.

Q: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval…

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Q: Find a result by using variable separation for ý=secy b- xý = x + y

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Sketch the curve and find the axis. y = Sinx; [0,] 2

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

Q: Find the arc 3/2 y= 2x length 1 15x52 of on

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Q: What is the maximum vertical distance between the line y = x + 29 and the parabola y = x² over the…

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Q: What is the maximum vertical distance between the line y = x + 38 and the parabola y = interval [–…

A: Given line equation is y=x+38 Given parabola equation is y=x2 From the above two equations x2-x-38=0…

Q: Find the area of the surface generated by revolving the curve y=2/x 18xs2, about the x-axis.

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Q: Find the derivative dydx of the polar function r=sec(2θ) at θ=π4

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Q: Find the length of the arc of the curve 9y2 = 4x³ from the origin to the point (4, ). %3D

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Q: Find the moment of inertia of the solid formec y2 = 2x and th

A: Introduction: If a solid is formed by revolving an area about the y-axis, then the moment of inertia…

Q: What is the average distancebetween the parabola y = 30x(20 - x) and the x-axis on theinterval [0,…

A: The equation of parabola is given by y=30x20-x on [0, 20] The expression to evaluate the average of…