At what point on the curve x = 6t2 + 5, y = t3 − 1 does the tangent line have slope of 1/2?

Q: At what points on the curve x = = 3t2 + 1, y = t³ – 1 does the tangent line have slope .

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Q: 8. Find the equation of the tangent and normal to the curve y = x3 3x + 1 at x = -1. [4] -

A: We have to find the eqution of tangent and normal of given curve y

Q: Find the slope of the tangent to the curve y = 1//x at the point where x = a.

A: Since you have asked multiple questions in single request.so We will be answering only first…

Q: Find the equation of the tangent line at the given point on curve. ex2+ y2 = xe5y - y2e5x/2; (2, 1)

A: Given, ex2+y2=xe5y-y2e5x2:(2,1) To find the equation of tangent line at the given point on the…

Q: Find the equation of the line tangent to the curve y = ex/x at x=1

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Q: Find the point(s) on the graph of y = x' – 3x at which the tangent line is horizontal.

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Q: Find the slope of the tangent to the curve at the point specified. x² +y² = 9 at (0, 3) The slope is

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Q: Find an equation of the tangent line to y = xt + 2x2 – x at x = 2

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Q: Find the slope of the tangent to the curve x2 + 8xy + y = 10| at (1, 1)|

A: The equation of the given curve, x2+8xy+y2=10

Q: What is the slope of the tangent line that touches the graph of In y + e2=-1 = 3y – 4x at the point…

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Q: At what point on the curve x 3t2 + 1, y = t3 - 5 does the tangent line have slope ? (х, у) -

A: We have given curve as x=3t2+1         ⋯⋯1y=t3-5           ⋯⋯2 From the equation (1) and (2), on…

Q: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

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Q: For what value of x is the tangent line to the curve y= x2 –6x+5 horizontal?

A: We have to solve the problem

Q: The slope of the tangent line to the curve y=-4e 2xcos(-8x) at xw0 is

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Q: At what point on the curve  y = 6 + 2ex − 3x  is the tangent line parallel to the line  3x − y =…

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Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: For what value of x is the tangent line to the curve y= x² - 6x +5 horizontal?

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Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: The slope of the tangent line to the curve y=2eUXcos(-6x) at x-0 is

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Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

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Q: Find the slope of the tangent to the curve y at (2, 1) xy + 6

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Q: Find the equation of the tangent line to y = at 3 - x X = 1.

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Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find the equation of the tangent line to y=5x2  at x=0

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Q: Find the slope of the tangent line to the given curve at t3D1. Sx=7-4

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Q: Find the equation of the line tangent to the curve of x²y2 – xy + x = 1 at (1, 1).

A: Given: x2y2-xy+x=1 As we know that; The slope of the tangent line to the curve at a given point is…

Q: Find the slope of the tangent line to the curve 3x? + xy – 4y³ = 6 at the point (1, – 1).

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Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Find the equation of the tangent line to the curve y = (5 – 3x)² at z = –5.

A: To find the equation of the tangent line to the below curve at x = -5. y=5−3x2

Q: Find the slope of the tangent line to the curve x²-3y=4y³ at x=-1

A: Solution: Consider the given equation of the curve is: x2 -3y = 4y3or4y3 = x2  -3y Differentiating…

Q: Find the equation of the tangent line to y = 3e at x 7.

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Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y = 192x*; x=1

A: Given eqn : 3y3+xy-y=192x4  ,  x=1 So when x =1 3y3+xy-y=192x4=3y3+y-y=192= y3 = 64= y = 4 Now find…

Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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Q: Find the equation of a tangent line to the curve y=xe2x at the point where x=1

A: We need to find the equation of a tangent line to the curve y=xe2x at the point where x=1. Now,…

Q: At what points on the given curve  x = 2t3, y = 4 + 16t − 10t2  does the tangent line have slope 1?

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: Find the equation of the tangent line to y=5e^x  at x=0

A: Slope of the tangent line to a curve is given by the first derivative of the curve at the point.…

Q: 2x2 y = Зх — 1

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Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

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Q: Find the equation of the tangent line to the curve y = 2x - x2 at (2, 0).

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Q: 2. At which points on the curve y = 1+ 60x – 2x does the tangent line have the largest slope?

A: Solution ) y = 1+60x3- 2x5 First derivative with respect to  x y' =0+ 60 ×3 × x2 - 2×5 x4 y' = 180x2…

Q: At what points on the given curve x = 4t3, y = 1 + 100t - 20t2 does the tangent line have slope 1?…

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Q: . Find an equation of the tangent line to the curve y = x* + 1 that is parallel to the line 32x – y…

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Q: Find the slope of the tangent line to the curve y = x²+4x+7 at the point (1, ). 7x+2

A: We can find the slope to the tangent to the curve at the given point as below.

Q: Find the slope of the tangent line to the curve 1x² − 2xy + 1y³ = 13 at the point (4,3).

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Q: The slope of the tangent line to the curve y=2e10xcos(-6x) at x-0 is

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Q: . Find the equation of the tangent line to the curve y =1 – 2x + x² at (1, 2).

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Q: Find an equation of the tangent line to the curve y=3ex that is parallel to x-4y=1.

A: Given:Equation of a curve

Q: At which point on the curve y = -1+2e* 3x is the tangent line parallel to the line 3x – y = 5?

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Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

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Q: Find the x-coordinate of the point on the graph of y=x^2 where the tangent line is parallel to the…

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