Find the point(s) on the graph (x- 1)2+ (y +3)² = 16 where t tangents are horizontal.

Q: Find the points on the curve where the tangent is horizontal or vertical. x = - 3t, y = t² - 8…

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Q: Find an equation of the tangent line to the parabola y = x2 -1 at the point (2,3) y 4x-5 Oy - 4x - 9…

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Q: Find the point (x,y) at which the graph of y=4x2 +4x-8 has a horizontal tangent line

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Q: Find an equation of the tangent line to the curve at thegiven point.

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Q: Find the equation of tangent to the curve y = x° + 2x? – X +1 at x = 2

A: Given :  Equtaion of curve  y=x3+2x2-x+1              substituting x=2 in curve equation…

Q: find the slope of the line tangent to the curve x2=y2+3/2xy at (4,2)

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Q: Find the equation of the tangent line to the curve y2=6x-3 perpendicular to the line x+3y=7

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Q: Find the equation of the tangent to the curve xy2 + y³ = 6x + 3y at (1,2)

A: The curve is given as x y2 + y3 = 6x + 3y, the objective is to find the equation of tangent line at…

Q: a) Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y - 2y³ In…

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Q: Find the slope of the tangent line to the curve - 3x + lay+ 3y = 199 | %3D | at the point (1, – 4).

A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

Q: Find the equation of the tangent to the curve x3 + y3 = 9 at the point (1,2). a. 3y-x-5=0 b.…

A: As we know that; The equation of the tangent line passes through the point Px0,y0 is: y-y0=mx-x0…

Q: Find an equation of the tangent plane to the graph of f(x, y) = xy3 + x2at (2, -2, f (2, -2)).

A: fx, y=xy3+x2 Partially differentiating with respect to x, keeping y as constant, we get fxx,…

Q: Find the equations of the tangent lines x = t3 − 6t, y = t2 at the point where the curve crosses…

A: To find the equations of the tangent linesx=t3-6t,y=t2 at the point where the curve crosses itself.…

Q: Find the equation of the tangent to the curve x² +3y² = 6y at the point (1, ½)

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Q: Find the equation of the tangent line to the curve x =t2 -2, y =t³ -2t + 1 at the point t=2.

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Q: Find the equation of the tangent line to r - 3ry + y =-1 at (2,1).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the point (xo,yo) on the graph of y = x' + 9x² + 7x – 5, at which the slope of the tangent line…

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Q: Find the points on the curve y = 2x' + 3x² – 12x + 1 where the tangent is horizontal. -

A: As per the instruction, we will be answering the first question. For (51), Given: y=2x3+3x2-12x+1.…

Q: Find the​ x-coordinates of all points on the curve y = (-x^2+4x−3)^3 with a horizontal tangent…

A: We know the slope of the tangent where it is horizontal is 0. we will need to find the derivative of…

Q: Find point on the ellipse x^2+2y^2=1  where the tangent line has a slope of 1.

A: We know, slope of tangent line = dydx

Q: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

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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 equation of the tangent line to the curve x=t2−2t, y=t2+2t at the point t=2.

A: Given equation of curve is Now,

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: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t); y = t³ – 3t2 +…

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Q: (b) Find the points on the curve y = 2x3 – 3x2 – 12x + 20 where the tangent is parallel to the…

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Q: Find an equation of the parabola y = ax2 + bx + c that passes through (0,1) and is tangent to the…

A: Since, the parabola passes through (0,1) ,so,we substitute x=0, y=1 ,to get c=1

Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

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Q: Find the equations of the tangent lines x = t2 − t, y = t3 − 3t − 1 at the point where the curve…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² - 7xy² at the point (7, 8). z =

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Q: find the equation of the tangent to the curve y=3x(squared)-8x+1 at the point where x=1

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Q: |Find the point(s) on the curve f(x) = x² where the tangent is parallel to the line 4x-y-1= (

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Q: Make the curve y=ax³ +bx²+cx+d pass though (0,3) and have at (1,2) a point of inflection with a…

A: Given: T curve y=ax3+bx2+cx+d passes through the point (0, 3). The point of inflection is (1, 2)…

Q: Find the equation of the tangent plane to the graph of the curve f(x, y) = x² + y² at the point…

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Q: Find an equation of the tangent plane to the graph z = Væ + y³ nt (8, 2, 4).

A: We know that equation of tangent plane to the graph z=f(x,y) at point (a,b,c) is…

Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

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Q: B - Find the point on the curve y = x3 + x2- 1 where the tangent parallel to the x- axis.

A: Topic- slope of tangent and application of derivatives

Q: Find the tangent line to the curve (x-3y)2  + 8x + 12 = 0 at the point where y = 0

A: First differentiate at point then use equation of tangent line

Q: a) Find the slope of the tangent to the curve y = 3+ 4x2 – 2x³ at the point where x = a.

A: We are suppose to solve the problem by application of derivative.   NOTE :: As per our guidelines we…

Q: Find the tangent line to the curve (x-3y)²+8x+12=0 at the point where y=0

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Q: Find a point on the graph where x = t² - 1, y = 2t has a vertical tangent.

A: For vertical tangents dx/dy=0

Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: Find the equation of the tangent line to a curve Y= \x at x= 4 4y - 8 -х%3D 0 4y -83D х-4 4y-x-4=0…

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Q: The slope of the tangent to the curve y²x + y²a² = 6 at (2, 1) is A B) -1 в 14

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

Q: Find the point on the curve y=/2 for which the tangent ine to the curve is perpendicular to the line…

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Q: Find the equation of tangent line to curve x= t^(2)-2t and y=t^(2)+2t at the point t=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: Find an equation of the line tangent to the curve y = v4x – 3 – 1 and perpendicular to the line x +…

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Q: Find the equation of the tangent to the curve y = (x – 2)Vx² + 16 at x = 3.

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Q: Find the tangent to y=x- 3Dx-x+13 at x=D4.

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