The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the y- axis is Select one: O y = tx - 1 O y = -2x + 4 O y = x+2 O y = 2x + 2 O y = -2x + 2

Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

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Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Identify and sketch the curve for x2+25y2-4x+100y + 4 = 0

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Q: Sketch the graph of the curve y=x(x² +2x)², labelling the stationary points and intercepts.

A: Recall: 1) Stationary Point : dydx=0 2) Intercepts :The x-intercept is the point at which the graph…

Q: Find the coordinates of the center of the curve whose equation is 16x2-25y2+160x- 200y+400=0. 4,5 O…

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Q: Find the point on the curve 4x

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Q: Determine the turning points and point of inflexion for the curve y = 2x +3x2 -12x+7.

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Q: 5. Trace the curve: r = 4 cos 0 e (degrees) r e (degrees) r 8 (degrees) r 8 (degrees) r 165⁰ 180°…

A: To Sketch: the following curves: (1) y=x(x-4)(x+1)(x-2) (2) y=x2-4x+4x2+x-2 (3) y2=x3+4x2-9x-36. (4)…

Q: Find a possible point of inflection of the curve y x +3x2 + 6x

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Q: Find the linearization of y = 3xe²x-10 at x = 5. %3D

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Q: What is the midline equation for the function

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Q: The work done by a force field in a moving particle around a closed path is zero.

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Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: Determine the equation of the line tangent to the curve y = x√√√ 2x² + 17 at the point (4,28). y =

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Q: 3. Trace the curve: y² = x³ + 4x² - 9x - 36

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