Find equations of the tangent and normal line to the curve y = 3Vx – 2Vx4 at (1,1) |

Q: Find the equation of the tangent and normal line to the curve y=x2 at x=1

A: Tangent is a line to the curve that just touches the curve at a particular point. Normal is a line…

Q: Find the tangent and normal line to the curve at the specified condition.  y = x ( 4x - 1 )2 at…

A: The tangent line is a straight line to the curve that touches the curve at a single point. The…

Q: Find an equation of the normal line to the curve  y = sqrt(x)  that is parallel to the line  4x +…

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Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: 2. Find the equation of the tangent and normal line of the function y+ 3xy +x = 5 at the point (1,…

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Q: Find an equation of the tangent line and normal line to the curve at the given point. y = (2x)/(x2 +…

A: Given :          y=2xx2+1     1,1

Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: Find an equation of the normal line to the curve  y = x  that is parallel to the line  4x + y = 1.

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Q: Find the equation of the tangent and the normal to the curve y=5x4 at the point (1,5)

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Q: y = 2x' - x' +x+1 when x =1

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Q: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

Q: Find the points on the curve y 2x3+ 3x2- 12x + 9 where the tangent line is horizontal. (x, y)…

A: The above question is answered below

Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y=…

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Q: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

Q: y = 4x3 – 12x² – 16x at x = 1

A: Equation of line at point (a, b) and slope m is : (y - b) = m*(x - a)

Q: Compute Δy Δxfor the interval [4,10], where y= 2x-6   ________   What is the slope of the tangent…

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Q: Find an equation of normal line to the curve y = Vx that is parallel to the line 2x+y = 4.

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Q: x4 3x2 at x = 2 y = 4 2.

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Q: Estimate the slope of the tangent line to y=x^2 at the point (1,1). Verify your answer analytically.…

A: Since multiple questions are asked, we will solve the question that the graph attached is related…

Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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Q: Find equations of the tangent and normal line to the curve y = x cos x at x = t/2.

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Q: Find the equation of tangent and normal to the curve 2.x2 – 4y? = -14 at (–1, –2)

A: The equation of the curve is x2-4y2=-14 Differentiate both sides with respect to x…

Q: Find all points on the curve  x 2  y 2 + xy = 2  where the slope of the tangent line is - 1

A: We first find dy/dx using implicit differentiation

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

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Q: 2. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

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Q: Find equations of the tangent line and normal line tothe curve at the given point. y= 6Cosx  (π/3,…

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Q: Find point(s) on the curve y = x3 – 5x2 + 6x + 1 where the tangent line is horizontal.

A: Find the points where the tangent is horizontal

Q: find equation of tangent line and normal line to the curve y = tan(x) at      (pi/4, 1)

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Q: Find the equations of tangent plane and normal line to the graph of 9yz – Vx² – 8z = xy² – 26 at the…

A: Find the direction derivative for the function f (x,y,z).…

Q: Find the equation for the normal line (perpendicular to the tangent line) to f(x) = 2x3 – 2x at x =…

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Q: Find the equations of the tangent and the normal lines to the curve x5 + y5 = 4 x2y2 at the point…

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Q: Find the equation of the normal line at 2 x = 0 to the curve, y + 0. x – 3 %3D -

A: Given: Equation of the curve…

Q: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

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Q: Find the equation of normal to the curve y = 2x – 4x² +x- 6 at point (2,–4)

A: Given y=2x3-4x2+x-6 and point is P(2,-4)We need to find the slope i.e. y'dydx=ddx(2x3-4x2+x-6)We…

Q: FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1.…

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Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: find the equation of slope of tangent and the equation of slope of normal for y = -2x* + 5x° 4 2 3…

A: Given that y=-2x4+5x2-3 Take the derivative, y'=-8x3+10x The equation of the slope is,…

Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

A: Given that x=4 sin ty=cos 2t Find the slope of the normal at t=π4 find the slope of normal and then…

Q: Find the equations of the tangent and the normal at the point indicated. y = x2 - 2x at its…

A: Given that - y = x2 - 2x at its points of intersections with the line y = 3

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x* + 9e*,…

A: The given equation of the curve is: y=x4+9ex.   We have to find  the equation of the tangent line…

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

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Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

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Q: Calculate the gradient of the tangent line to the curve y3 - x3 -xy = 1at the point (-1,0).

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