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Q: 7/2 [sec¹ x tan³ x dx 4. 0

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: Find an equation of the tangent line to the graph of y equals StartFraction 4 x Over x squared plus…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: a) Solve Cauchy problem for the non-homogeneous ovo andhulsel) aogel botning (som equation: Elo…

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Q: 1- Ellipse 1. Find the equation of the ellipse x' + 9y - 4x - 72y + 139 0 and locate the coordinates…

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

Q: coth-1 x = tanh 1 x 1 x Prove mathematically that the right-hand side is equal to the left-hand side…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

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Q: The tangents to the rectangular hyperbola xy = c² and the parabola y = 4ax at their point of…

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Q: Transform axis inclined 30° to the original axis, the equation is x^2+2√3 xy-y^2=2a^2

A: The given equation is: x2+23xy-y2=2a2                      (1)

Q: %3D Funetion 3. В) Considen evenywhere i's domain - il Prove that L is differentiable ii) Find…

A: (i) The derivative of the given function Lx=lnx in its domain x>0,  is given by the limit,…

Q: Diffirentiate 4=V sec? (St?)

A: Write the given expression using exponents, the apply the power rule

Q: sinty

A: This is a basic integration problem

Q: x(1-x')y = x' + y-2xy? ソ=

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Q: Two highways intersect at a right angle. An  car A, moves along one of the highways, approaching the…

A: given that                                         car A approaching intersection at 80kmph,…

Q: angents PA and PB are drswn to x\power{2}+y\power{2}=a\power{2} from the point…

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Q: Lim Sin 2x Sin 2x |- CoS1ox

A: Given: L=limx→0sin2x1-cos10x+sin2x2x

Q: 3. Write the equation of the circle with center at (4,-5) and touching the line 3x – 2y -7= 0.

A: Consider that the center of circle be -4,-5 and line 3x-2y-7=0 touches the circle.   Since the line…

Q: Triangle JKL was translated 12 units vertically and then reflected over the y-axis to create…

A: The given sides of the triangle JKL are 8,6,10. The triangle J'K'L' is congruent to the triangle…

Q: ay/date Onos equation Cauchy Eulas digperential 19 x dy + 16y =8 dse 2.

A: Solve the Cauchy Euler differential equation: 4x2d2ydx2-12xdydx+16y=8x2