9. Find the equation of the line tangent to the curve y = 3x5 + 10x³ + 15x + 1 at its point of inflection.

Q: Find an equation of the tangent line to the curve y = 2x +3 that is parallel to the line 8x y+3 = 0.

A: Find an equation of tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0

Q: What is the equation of the tangent line to the curve y = - 2x2 +5 at (-2, 13)?

A:

Q: 5. Find an equation of the line tangent to the curve y = 3x² 1 and parallel to the line 2x – y + 3 =…

A: Explained below

Q: What is the slope of the tangent line to the graph of y=x4-3x2+x+2 at x=2? b)What is the…

A:

Q: Find the equation of the tangent line to the curve y = 3x2 + 2x +7 at the y intercept.

A: Given: y = 3x2+ 2x+7

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

A:

Q: What is equation of the line tangent to the graph of y = x^3 + 3x^2 + 2 at its point of inflection?

A: Given that, The equation of line is given following, y = x3 + 3x2 + 2 We have to find the equation…

Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

A:

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…

A:

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

A:

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

A:

Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

A:

Q: Show that the curve y = 7e* + 3x + 2x³ has no tangent line with slope 2.

A:

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: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

Q: Find the equation of a line tangential to the curve y = 2x² + 7x + 9 at P(1,18).

A:

Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

A:

Q: 10. Find the slope-intercept form of the equation of the line tangent to the graph of y arctan(9x)…

A: Given y = arc tan9xand x=39here we find the slope - intercept form of the equation of the line…

Q: Hello, could you please help me determine the equation of the line tangent to the curve…

A: The given curve is: x2y+2xy2=x+6y

Q: Find the equation of the tangent line to the curve x2 + 4y2 = 8 and parallel to the line x+2y=8.

A: Given curve is x2+4y2=8. To find equation of tangent line to the given curve which is parallel to…

Q: At what point on the curve y = 2x²– 3x – 1 is its tangent parallel to the line y = 5x + 2?

A: Given curve is : y=2x2-3x-1 And the given line is : y=5x+2 We need to find the point on the curve at…

Q: 6. What is the slope of the tangent line to the inflection point of the curve y = x3 – 4x2 - 3x – 6?

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the points on the curve y = 2x3 - 3x2 - 12x + 20 where the tangent line is parallel to the…

A: Given: y = 2x3-3x2-12x+20 Tangent line is parallel to x - axis. To find: The points on the given…

Q: Find an equation of the tangent line to the curve y = 2x ^ 2 + 1 that is parallel to the line 8x -…

A: Given: the curve y=2x2+1 and the line is parallel to 8x-y+3=0 The equation of line tangent to the…

Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

A:

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

A: given,y=3+4x2-2x3

Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3…

A:

Q: 11. What is the slope of the tangent line to the curve y = 3x2 - 5 at point (-1,-2)? а. -5 b. -6…

A:

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

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

Q: 25. Find the equation of the line tangent to the curve x2 + y2 = 1 through the point (,).

A:

Q: 7. Find an equation of the line tangent to the curve y = 3x² – 1 and perpendicular to the line x

A:

Q: Find the equation of the tangent line to the curve y = 4x − 3x 2 at the point (2, -4)

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: Find an equation of the tangent line to the graph of y = 2x² + 3 that is parallel to the line 8x - y…

A:

Q: Find the equation of the line that is tangent to the curve y =-3e* at x = In 2. %3D

A:

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

A: Given: y=3+4x2-2x3 The slope of the tangent to the curve at the point x=a is the derivative of…

Q: 2 5. Write the equation of the line tangent to y=4-x when x=-1.

A:

Q: What is the slope of the line tangent to the curve y = x4 – 8x3 + 22x2 – 24x + 9 at x = 1?

A:

Q: The slope of the line tangent to the curve y = x*- 8x3 + 22x² – 24x + 9 at x = 1 is _.

A:

Q: Find the slope of the tangent line to the curve y 3x-8x + 7 at the point (-1,2). -3 3. -4 4

A:

Q: What is the slope of the line tangent to the curve 8x3-y2=4

A:

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

A:

Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

A:

Q: 4. At what points on the curve y = 2x³ – 3x2 – 2x + 4 are tangents of slope 10?

A:

Q: Find the equation of the line tangent to 8x2 + 18y3 = 152 at x = 1. %3D

A: The equation of a line tangent to a curve, y = f(x) passing through the point (x1,y1) is given by: y…

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: write the equation of the tangent and normal line line of the curve. huow somtion your 1 . f(x) = -…

A:

Q: What is the slope of the line tangent to the graph of y=[9x^2]/[x+2] at x=1?

A: