dy The family of curves having * is 1) y=-2x+c 2) y=(2x - x') +e 3) y = 2x - +o O 4) y=(2- x²)³ +c II

Q: The point on the curve y = 2-x nearest to (3,2) is (1,1) (0,2)

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Q: If y is a differentiate function of x, then the slope of the curve of; xy^2-2y+4y^3=6 At what…

A: given that y is a differentiate function of x then we have to find the slope of the given curve at…

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: The point P(5,-2) lies on the curve y = (a) If Q is the point (x, (1) 4.9 MpQ (ii) 4.99 MpQ (iii)…

A: Given that P(5,-2) and y=24-x the equation of the curve. Q (x, 24-x) lie on the curve.

Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

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Q: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: Arc length is defined as the distance between two points on the curve. It is done in such as way…

Q: 4. Determine the slope of the common tangent to the parabolas y=x² +1 and y=-x² - 1. y=x*2+1 (a, b)…

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Q: What does it mean for two families of curves to be mutually orthogonal?

A: Two families of curve are said to be mutually orthogonal if they intersect at right angles. Angles…

Q: 1 - Sketch the curve : y=-(x3– 6x²+9x+6). 6 y=Lcx³-

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Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

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Q: Find equations of tangent lines to the curve y= Oy=-x-2, y = -x- 0 y=-x--, y= O y=-x-6, y=-x-²/7/…

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Q: Find the equation of tangents to circle x² + y² - 2x+4y-4 = 0 drawn from point P(2, 3).

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Q: For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at…

A: We have to solve the problem

Q: b. The y' of the curve y 4 Vx

A: The given function is y=4x. Obtain the first derivative as follows. y'=ddx4x=ddx4 x-12=4…

Q: Suppose that a curve is given by the equation  x3−y3= 40xy which defines  y  as function(s) of  x…

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Q: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: If y=f(x) be the curve that lies on the xy plane, then its length from x=a to x=b is given by…

Q: Q3\ Sketch the graph of the curve 1) y=x² +1

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