Determine the constant a, b and c so the curve defined by f (x) = ax3 + bx2 +c has a extremum at the point (2,11) and a point of inflection at the point (1,5). Show your w

Q: Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d₂ pass through (-1, -1) and have at…

A: To Determine: Value of a, b, c and d so that curve y = a x3 + b x2 + cx + d

Q: Find the r value of the point on the curve y = 3x + 2 closest to the point (1,0). Evaluate /(-글 +…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: Find the coordinates of all points on the curve x^2 -2y^2 = 5xy-33 where the curve has a horizontal…

A: x2-2y2=5xy-33 →(1)Horizontal tangent slope is 0Differentiate (1) w.r.t…

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Q: Find the point(s) on the graph y = x3 where the line through the point (4, 0) is tangent to y.

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Q: The curve y = ax² + bx + c passes through the point (1,8) and is tangent to the line y= 6x at the…

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Q: Q1)a) Find line that are tangent the curve x2 + xy – y² = 1 at the point (2,3)

A: Explanation of the solution is given below...

Q: Find the length of the curve defined by 2? = 2y3 from x = 0 to x = 4:|| %3|

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Q: the slope of the curve 2y2=ax2+b at (1,-1) is -1.find a,b

A: The equation of the curve is  2y2 = ax2+b…

Q: The curve y = ax2 + bx + c passes through the point (1, 2) and is tangent to the line y = x at the…

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Q: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…

A: Given that the curve passes through a point.

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

A: we have to solve the problem

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Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: For the curve y=ax^3+bx^2+12x-7, what values of a and b will make the tangent to the curve at x=2…

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Q: For the curvey ax + bx- + 12x - 7. what values of a and b will make the tangents to the curve at x =…

A: We have to solve the problem

Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

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

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Q: Find the point (xo, yo) on the graph of y = x³ + 3x? + 8x – 3, at which the slope of the tangent…

A: To find the slope of the function we need y'y=x3+3x2+8x-3y'=3x2+6x+8

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

A: Given, The curve  y=ax3+bx2+12x-7 We have to find the value of a  and b such that tangent to the…

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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…

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Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

Q: 2. Find the length of the curve y=- 1 from 1<x<2. 8 4x?

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Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

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Q: 19. For what values of the constants a and b is (1, 3) a point of inflection of the curve y = ax³ +…

A: Consider the value of y and solve:

Q: Find the x-coordinate of the point where the curve y = x3 - x crosses the horizontal line y = 1.

A: Given:                                 y=x3-x and y=1  Let                                y=x3-x…

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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…

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Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the…

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Q: b The curve f(x) =ax + has inflection point at (2,27). a) -- Find the values of a and b.

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Q: If f(x) = 2x2 - ax - a, b, c ER, then a +b – c=? 4 and the equation of the tangent line to the curve…

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Q: At a particular point of the curve y = 2x2 -x+q, the equation of the tangent is y = 3x-5. [7 marks]…

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Q: . Determine the points where the curve 6x+ 4y-y=6 has a vertical tangent line. p. Does the curve…

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Q: a. Determine the points where the curve 4x + 2y -y =1 has a vertical tangent line. b. Does the curve…

A: Consider the given curve 4x + 2y2 – y = 1

Q: At what point on the curve x = 6t2 + 2, y = t3 - 5 does the tangent line have slope (x, y) =

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