Find an equation for the line tangent to the curve y at the point (4,27). = 3 x - 2 Find an equation for the line tangent to the curve y = XV2x? - 28 at the point (4,8). y =

Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: ) Find the slope m of the tangent to the curve y = 9 + 5x² – 2x3 at the point where x = a. 10а + 6а?…

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Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

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Q: Find an equation of the tangent line to the curve: 4x^2 - 24xe^y + y = 13 @ the point (-1/2, 0).

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

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Q: Find the slope of the tangent line to the curve - 2a? – 2ry – 2y = - 38 at the point (- 4, - 1).

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Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find equations for two lines that are both tangent to the curve y = x³ – 3x² + 3x – 3 and parallel…

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Q: Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point…

A: Given: y=x3-16x+6, 4,6 we know that equation of line which perpendicular to tangent at given point…

Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: find the slope of the curve at the point indicated.

A: We need to find the slope of the curve at the point indicated, y=5x-3x2,x=1

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

A: Equation of tangents: y-y1 = m(x-x1) m=dy/dx To get dy/dx, first get dx/dt then get dy/dt. Now do…

Q: Find the equation of the tangent to the curve  y = -5x2 + 6x +7 at the point (1/2 , 35/4)

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Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

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: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).

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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 an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2,…

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Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: Find the equation of the lines tangent to the curve x2 + y2 = 4 and parallel to the y-axis ?

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Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

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Q: Find an equation for the line that is tangent to the curve y = 3x-3x at the point (1,0).

A: y = 3x3 - 3x P= ( x1 , y1 ) = ( 1,0 )

Q: Find the slope of the tangent line to the curve - 4a? – læy + 2y³ : - 4x² = - 4 at the point (2, 2).

A: to find the slope differentiate  the y with respect to x.

Q: ) Find the equation of the line normal to the curve x'y+ y'x = 10 at point (1,2).

A: Slope of a normal to the function y=f(x) at point m,n is given by the value of -dxdy at m,n Equation…

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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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: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: 1. Find an equation of the tangent line to the curve y = 2x3 – 5 at the point (-1,3).

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 4x? – 4x.…

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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…

A: We have to solve the problem

Q: find the equation of the line tangent to the curve y=x^4-4x^3+2x^2-4x+15 and perpendicular to the…

A: To find the line tangent of the curve we have to differentiate with respect to x. If first-line…

Q: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: Find the equation of the tangent to the curve y = 2x2 - 5x + 3, where x = 2.

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: The equation of the tangent line to the curve +y =64, at (6,-12) is 12 y=D (-6)+12 6. 6. 12 -6) – 12…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: Find an equation of the curve that passes through the point (0,1) and whose slope at (x, y) is 11xy

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Q: find an equation of a straight line tangent to the curve y=e^x and passing (0,0).

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Q: Find the equation of the tangent line to the curve y = x2 – 5 if the tangent line is parallel to the…

A: y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: 9. Find an equation of the line tangent to the curve y = 2x - 7x2 + 10 at the point (3, 1). y = 12

A: Given that, the curve is y = 2x2 - 7x2 + 10  To find the tangent line to curve at point (3,1)   To…

Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

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Q: Find an equation of the line tangent to the curve defined by x^3+6xy+y^5=21 at the point (2,1)

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Q: Find the equation of one of the tangent lines to the circle x2 + y2 = 52 that pass through the point…

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