Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x – 4. dx y =

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

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is…

Q: Find dy / dx by implicit differentiation. Then find the slope of the graph at the given point.

A: 3x3y=6differentiating both the sides6x2y+3x3dydx=0dydx=-6x2y3x3dydx=-3yx

Q: Find an equation of the tangent to the curve f(x) = /x + 10 that has slope . Select one: Ay=x…

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Q: Find the equation of the line tangent to the curve y = ex/x at x=1

A:

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

Q: Find the equation of the tangent to the curve y= (5 – 6x)* at the point (1,1).

A:

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: 3x3y=6                      Point 1,2x3y=2differentiation w.r.t to xx3dydx+dx3dxy=ddx2⇒x3…

Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 5x)°, (0, 1) %|

A: Given equation of curve: Point (0, 1)

Q: Find the equation of the line normal to the tangent at the point (1,2) x’y+xy² = 6. on the curve

A:

Q: Find the equation of the curve that passes through the point (3,6) if its slope is given by dy = 6x…

A: Note: As per company policy we are supposed to solve only one question. So, kindly re-post the other…

Q: Find equation of curve that passes through (4,5) if its slope is given by this equation:  dy/dx=2x-4

A: Given:

Q: Find the equation of the curve that passes through the point (6, 6) if its slope is given by dy = 7x…

A:

Q: ,4 Consider the curve whose equation is x4 + y* + 3xy = 5. The dy slope of the tangeant line, at the…

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Q: Find the equation(s) of the tangent line(s)to the graph of the curve y = x3 − 9x through the…

A: The tangent to the curve at a point is a line that just touches the curve at that point with a…

Q: Find the equation of the tangent line to the curve y=x^4+2e^x at the point (0,2).

A: Consider the given curve y=x^4+2e^x

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

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

A:

Q: Find an equation for the line tangent to given curve y = -10z2-3 4r+1 3 at x = 0-

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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 an equation of the line tangent to the curve y = sin x atx = 0.

A: Solution -  Given equation -  y=sinx At x=0,  y=sin(0)=0 We have - x0, y0 = 0, 0   Equation for the…

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: Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point…

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

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: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: At what point on the curve x = 9t2 + 2, y = t3 - 6 does the tangent line have slope ? (x, y) = ])-

A: Consider the curve

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

A:

Q: Find the equation of the curve that passes through the point (8,2) if its slope is given by…

A:

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

A: As per our company's policy, we can solve first question only. Please repost other question…

Q: Find the equation of common tangent to the curves y^2 -2x=1 and xy+y-3x=1

A: Here we find equation of common tangent.

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: Find the equation of the tangent line to the curve y3 + 4.xy = 9 at point (2, 1).

A: Recall: Point-slope intercept form :         (y-y1)=m(x-x1); where , m=y'(x) and (x1,y1) be the…

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

A: We have to find the equation of tangent line to the curve y=x+1/x . Please see the explanation below

Q: Find an equation of the curve y = f(x) if y^n = 6x and the tangent line to the curve at (1, 2) is…

A:

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

A:

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

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

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 line to the curve y=x(x1/2) that is parallel to the line y=6+3x

A: y=6+3xBy comparing with y=mx+b, m=3Slope of a line parallel to to y=6+3x is  3

Q: The equation y2(y² – 4) = x²(x² - 5) is known as the devil's curve. Give an equation for the tangent…

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Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

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: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy =…

A: This question is based on diffrentiation.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy =…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

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: Can you please help me step by step with this problem?

A: To find the derivative of the given function (fractional power)

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 the equation of the curve that passes through the point (6,6) if its slope is given by dy/dx =…

A:

Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

A:

Q: find the equation of the line tangent to the curve y2+ exy=4 at point (0,2)

A:

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

A: