or the function f(x, y) = 5e³¹ sin(y), find a unit tangent vector hat has a positive x component. Present your answer with three d Submit Question

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A: Let (?/6 , 1) =(x1 , y1)  Using the slope - intercept formula : ( y - y1) = m( x - x1 ) or y =mx +b

Q: -aluate tan t sec? t dt

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Q: All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with…

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Q: y = sin³ 2x جد مشتقة الدالة

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Q: A mass attached to a vertical spring has position function given by s(t) = 8 sin(3t) where t is…

A: Given data : Position function , s(t)=8sin(3t) where t is measured is sec and s(t) in cm.

Q: Find the tangent plane to the equation 2 = 4y cos(3x-5y) at the point (5, 3, 12). 2 =

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Q: '] Find the derivative of the function. a) y=c sint+\t cos t b) y = secx+e

A: Tje solution of the problem is given in the next steps .

Q: Find the derivative of y. 30) y- In (sinh 9x) 1. B) sinh 9x A) coth 9x C) 9 csch 9x D) 9 coth 9x

A: Derivative

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

Q: e) ay +sina-l, (,a) Equation of tangent 2.

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Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following…

Q: Find the second derivative of the vector-valued function r(t) = (7t + 5 sin(t))i + (4t + 5 cos(t))j…

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Q: Determine order and degree * d'y d'y + cos dr? dr? 2 O 5 undefine- Not linear

A: The degree of a differential equation is the power of its highest derivatives.

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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Q: 7. Use implicit differentiation to find two equations between x and y such that the tangent line to…

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Q: Find all Second partial derivatives fcx.y)- Sin?Cmx+ny)

A: Given that, f(x, y) = sin2(mx + ny) we have to find second partial derivative with respect to x and…

Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

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Q: 8. What is the derivative of y= Vu in terms of x? dy a) 2/y dulas b) 2vu d) 2/u

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Q: Sohue the fallowing differential eguatious. d'y odx? "(dx) 2 2. cly

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