1. Find the differential equation for the family of: 1. Circles passing through the origin with center at x-axis 2. Curves y = 2ce2x 1+ce2x

Q: Find the equation of the tangent line to the curve y = 2 sin æ at the point (, 1). The equation of…

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

Q: e12x+2y=8y-4xy+1 Use this information to answer the questions to the right. (a) At a general point…

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Q: x=1+4sin(3t) y =-2 cos (3t) Eliminate the parameter and graph if 0<t<". Indicate the direction of…

A: To eliminate the parameter of the parametric curve and graphing the curve with increasing t.

Q: 6) —— (y² + z²)u₂ +xzu₂ − xyu¸ = 0

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Q: . Determine the derivative of the following complex functions: f(z) = (z³ + 3z²)³at z = 2i b. Item…

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Q: dy using implicit differentiation dx 1. Find а. Зху + 4x2 + 5y? %3D 5 b. y + 2x³y* + 2y² = 3x = 3y2…

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Q: Q.4 Find the increment and differential of the function f=e° siny-z); x = y = z = 1, dx =- 0.2, dy =…

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Q: 2 The diagram shows a sketch of the curve y = a sin(hx) + c , for 0 SIST. Find the value of a, b and…

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Q: 2. The slope of a curve at any point (x, y) is given by dy da 4x, if the curve passes through (-1,…

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Q: Q1 Find all the points of intersections of the curves r = 1+cose and r=1+sin0 r-1+ (0) r=1+cm(0)

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Q: 8. Find the differential of each function: (a)y=tan(cos.x) : (b) y=- Answer D

A: 8) a) y= tan(cosx)

Q: Oe. 0.5 20. If an equation of the tangent line to the curve y = f(x) at the point a = 2 is y = 4x -…

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Q: Find an equation of the tangent line to the graph of y = x³ - 3x - 1 at the point (2, 1).

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Q: Q. 3. a) Find first and second derivatives of the following functions: +7x y=cot(3t-1) 201

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