For the curve y=ax^3+bx^2+12x-7, what values of a and b will make the tangents to the curve at x=2 and x=3 horizontal?

Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: We have  y=ax2+bx+c        at (2,28)           and               y=4x

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: To find the length of the curve defined by y = 5x° + 8x from the point (-1,-13) to the point (2,56),…

A: Here the curve is given by y=5x3+8x x coordinate of the points (-1,-13) and (2,56) are -1 and 2…

Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the…

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Q: Please Find an equation of the line tangent to the curve defined by x^4+2xy+y^3=4 at the point (1,1)…

A: The given problem is solved below in detail.

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 3  where the tangent line is horizontal.

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Q: The slope of the tangent line to the curve y=2x^3 at the point (-4,-128) is ____. The equation of…

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Q: What is the value of the slope of the tangent line to the curve *y+y<=5 passing through the point…

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Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: Find the points on the curve y = 2x3 + 3x² – 12x + 5 where the tangent line is horizontal. (smaller…

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Q: The equation of the tangent line to the curve x2 + y = 9, at (6,-16) is %3| 16 y = (x + 6) – 16 6 6…

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Q: Find an equation of the form y = f(r) for a curve with z-intercept 2 whose tangent line at any point…

A: we have to find an equation of the form y=f(x) for a curve with x-intercept 2 whose tangent line at…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: Find the equations of the tangents to the curve x = 9t2 + 6, y = 6t3 + 3 that pass through the point…

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Q: Suppose a curve is defined by the equati on y2 = x*(2- x). What is the equation of the line tangent…

A: Given curve

Q: Find the equations of the tangents to the curve x = 6t2 + 2, y = 4t3 + 2 that pass through the point…

A: Given data:     The first equation is: x=6t2+2. The second equation is: y=4t3+2. The given point is:…

Q: find the equation of the tangent line to the curve  8x2y3-5x2+7y3 = 10(x-3y) , at point (2,-2)

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Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: For the curve 3e arcsin (y) + 2 (x² + y²) = 2, find the slope of the tangent line at the point…

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Q: Find the points on the curve y = 2x3 + 3x2 12x + 8 where the tangent line is horizontal. (х, у) %3…

A: Given curve is : y = 2x3+3x2-12x+8 Tangent line is horizontal at points where slope=0

Q: 3 at the point 7, 3 is: The slope of the tangent line to the curve y %3D

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Q: 2. What is the slope of the line tangent to the curve 8x3 –- y² = 4 at the point (1,-2)?

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Q: What is the value of the slope of the tangent line to the curve *y+y²=5 passing through the point…

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Q: Find the equation of the tangent line of funclion y= ²+1 23 -2 at (40,- 73)

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Q: Find the equation of the tangent line to the curve y=lnx2 that is parallel to the straight line y=x.

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Q: What is the value of the slope of the tangent line to the curve *+4xy+y2=13 passing through the…

A: Note : As per guidelines, I have to answer Only one question, if you want other questions to be…

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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Q: Find the equation of the line tangent to the curve y =8/x2+4 at the point (2, 1).

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Q: Determine the equation of the line tangent to the curve square root(xy)=x-2y  at point (4,1)

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Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,…

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the…

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 6  where the tangent line is horizontal.

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Q: Find the equation of a curve in the xy-plane that passes through (1,3) and -6x(2+y) V3 – 3x2 whose…

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: How can we find the slope of the tangent line to the parabola y = x2 at the point?

A: Consider the following equation of parabola: y=x2 Differentiate y with respect to x: dydx=ddxx2=2x

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 2 where the tangent line is horizontal

A: To obtain the points where the tangent line is going to be horizontal to the curve, we need to find…

Q: Find equations of all lines having slope −3 that are tangent to the curve y=3/(x−4)

A: Equations of all lines having slope −3 that are tangent to the curve y=3x-4

Q: At what point on the curve  y = 4 + 2ex − 4x is the tangent line parallel to the line  4x − y = 9?…

A: Given, y=4+2ex-4x First, find the slope of tangent line parallel to the line 4x-y=9 Find the point…

Q: Show that the tangent line to the curve at y = 3x²+ 6x− 5 the point (−1. −8) is horizontal.

A: To show: That the tangent line to the curve at y=3x2+6x−5 the point -1,-8 is horizontal. Concept…

Q: Find the point on the parabola y= X- + 4 whose tangent line is parallel with y = 3x -5

A: Let a point on the parabola is h,k. Now the slope of the tangent line is given by: m=dydxh,k Since,…

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 3 where the tangent line is horizontal. (х, у)…

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Q: What is the slope of the tangent line to the graph of y = x^2 + 1 at the point (0, 1)?

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Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

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Q: Find the points on the curve y = 2x3 + 3x² – 12x + 5 where the tangent line is horizontal. (х, у) )…

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Q: Find the slope of the tangent line to the curve defined by 9a – 8zy – y* = -18 at the point (-1,…

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Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

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Q: Find the tangent line at (-1,3) to the curve y* – 2x²y' – 27=0.

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Q: The slope of the line tangent to the curve y=2x- 3 at point (1,-1) is 5

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1