Find the equation of the line tangent to the graph of f(x) = 4x° + 6x2 – 6x – 5 at x = -6. %3D

Q: Find the equation of the curve that passes through (0, 9) if its slope is given by dy/dx = 12x^2 −…

A: We can find the equation of the curve by integrating the given derivative and substitute the point…

Q: 3. Find the equation of the tangent to the graph y = xvx-1 at ( 5, 10).

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

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Q: Find an equation for the line tangent to the graph of f(x)=4xe square root of x at the point (a,f…

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Q: Find the equation of the curve that passes through the point (7,5) if its slope is given by dy 3D 8х…

A: We have to find

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Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6

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Q: Find the point on the curve y2 = ;(x+1) which is nearest the origin.

A: We have to find the point on the curve y2=52x+1 which is nearest the origin.

Q: Q/ Find the equation of the tangent to the test subject y = Vsin 4x, %3D and passes through the…

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Q: Find the equation of the tangent to y = 1 + 2x + 3x*4 at the point with x -coordinate 1

A: Find the derivative of y = 1 + 2x + 3x4                                y' = 2 = 12x3

Q: Find the equation of the line tangent to the graph defined by the equation at the point (2,0).…

A: Given equation of curve ,xey-y=2 -1

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 equation of the line tangent to the graph of y = 3x cos x at the point (π, −3π).

A: Given Data: Equation: y=3xcosx Point: (x1, y1)=(π, −3π) The derivative of the given equation of…

Q: The point on the curve y=vx+2 which is closest to the point (5,2) is

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line.…

A: Given equation of a graph is 4x2+y2-8x+4y+4=0 Since we need to find the points where the tangent to…

Q: Find an equation of the tangent line to the parabola y = x2at the point (2, 4).

A: To find the equation of the tangent line to the parabola y = x2at the point (2, 4). For the parabola…

Q: Find an equation of the tangent line to the function y 5x at the point P(1, 5). Solution

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Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

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: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

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Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

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: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

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Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

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

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy = 5x…

A: Given that, the curve passes through the point 8,6 and the slope is given by dydx=5x-7

Q: The slope of the curve when x=e is y = (In 2x)?

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Q: s) Find the equation of the curve that passes through the point (3, 2) if its slope is giv dy = 8x –…

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Q: Find the slope of the line tangent to the graph of y = sin 2xat x = 5π/4.

A: Slope of the line tangent to the graph of y = sin 2x at x = 5π/4. y(x) = sin 2x y'(x) = (sin 2x)' =…

Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

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Q: Find a cubic function  y = ax3 + bx2 + cx + d  whose graph has horizontal tangents at the points…

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Q: Find a point on the curve y = x2 that is closest to the point (18; 0)

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Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x,y)=

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Q: Find the equation of the curve that passes through the point (5, 4) if its slope is given by dy — За…

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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 curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: At (8,4) the value of C will be: 4=5(8)22-4(8)+C4=160-32+CC=-124 So the equation will be…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: Using variable separable form of Differential equation.

Q: Find an equation of the tangent to the curve at the given point. x 3 , y = t2 3, (3, 4)

A: Given curve is

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 curve that passes through the point (3, 8) if its slope is given by dy 3x –…

A: We have to find equation of curve

Q: The equation of a curve is y= 4x²+4lx+12-k, where kis a constant. In the case where k=1, find the…

A: If a line is parallel to the x-axis then its slope will be 0.   Slope of the curve y=f(x) is m =…

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

A: To Determine: Find an equation of the curve that passes through the point (0, 1)and whose slope at…

Q: Find the equation of the line tangent to y = sin(x) going through 4

A: Given, y=sinx                 ...(1) At x=π4 Put x=π4 in equation (1) y=sinπ4y=22 Thus, the pointπ4,…

Q: Find

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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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