Question 9 A curve is given by y = ax2 + 4x+b Given that a stationary point is found at (, ) find the value of a and b, where a and b are integers.

Q: 2. Knowing their linear relationship, find the expression of "C in terms of F using the point-slope…

A: If we have 2 points x0, y0 and x1, y1, then the point-slope form is y-y1=mx-x1, here, m is the slope…

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: Let A = (3, –5, /2) and let é be the A line with pole = |A| that lies on . Give one point

A: First we need to find direction ratio of line  l .

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

A: Solution:-

Q: (b) Find the points that touch the x axis of curve v = u? + pu + (n + 1). Where n=666. Also find the…

A: given the curve in u,v axis is as, v=u2+pu+n+1    where n=666

Q: Find the points on the curve y = x³ -3.5x² + 10x + 15 where the tangent is horizontal. List the…

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Q: #8. In each case, sketch the set of points determined by the given conditions (a) /2-1+i/>1 (b)…

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Q: 5 -4 -3 -2 -1 00 8 6 4 -2 -41 -6 234 5x

A:

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

A: Given curve is x2+y2−xy=a2. Differentiate x2+y2−xy=a2 with respect to x, we get…

Q: Determine the parameter equation of the following curve x2 + y2= 5

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Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

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Q: Find the length of the curve defined by

A: Length of the curve is :y=3x3/2 -11Differntiation :dy/dx= 3 * 3/2 *x3/2-1dy/dx= 9/2 *x1/2(dy/dx)2…

Q: (c) Find the slope of the curve x?y + xy? = 6 at the point (2, 1).

A: Slope of a curve is given as dy/dx. Pount given is (2,1)

Q: Find the points on the curve y = 2r3 – 3x2 – 12x + 20 - where the tangent is parallel to the x-axis.

A: A straight line parallel to x-axis have slope 0.

Q: A straight line y = 3x – 4 cuts the curve y = x2 – 2 at point P(2, p) and point Q(q, – 1). Find the…

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Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

Q: 9.) What is the smallest slope of the function y=x²-3x² + 5x-1 on ?

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Q: A curve is generated by the equation x² + 4y² = 16. Determine 2. whose corresponding tangent lines…

A: Given data:- The given equation of curve is, x2+4y2=16 Curve corresponding tangent line are…

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

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Q: 6. Two graphs touch at a point if both pass through the point and have the same tangent line there.…

A: To show that the given graphs touch at their intersection point