Question 14 Find the point at which the line f(x) = 5x + 8 intersects the line g(z) = 2x + 1

Q: 1 ) Find the equation of the curve for which   y” =  6x – 4 and which passes through (1,2) and (-2…

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Q: Determine equations of all lines tangent to the graph of f(t) = t° /3+2t² +4t that have slopes of 1.

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given function f(x)=2x2 and line is 6x-y+1=0

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: 7. An equation of the line tangent to the graph of ƒ at the point (2, 7)is y = 4x - 1. Find ƒ(2) and…

A: Given function is fxequation of the tangent line y=4x-1tangent of the graph 'f'=dfdx=y=4x-1  ∴…

Q: Determine an equation of the line tangent to the curve at the given point. 4x² + 4xy + 3y 51, (3,1)

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Q: An equation of the line tangent to the graph of f(x) = x(1-2x)3 at the point (1,-1) is A. y = -7x+ 6…

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Q: (a) If F(x) = 12x/(3 + x2), find F '(3) and use it to find an equation of the tangent line to the…

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Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

Q: Question 2 d²y Find the equation of the curve for which = 6 – 9x and which passes through the points…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: 13. Find the equations of both lines that pass through the point (2, – 3) and are tangent to the…

A: We need to find equations of tangent lines.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: An equation of the line tangent to the graph of f(x) = -x(1 – 2x)³ at the point (1,1) is a. y = -7x…

A: f(x) = -x (1-2x)3  f'(x) = -3x(1-2x)2 (-2) + (1-2x)3 (-1) f'(1) = 6(-1)2 +1 f'(1) = 7   Slope m = 7…

Q: 11. What is the y-intercept of the line that is tangent to the graph of y =-x +4x at (1, 3)? a. -2…

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Q: Question 7 of 18 Find the point (xo, yo) on the graph of y x39x2 3x - 5, at which the slope of the…

A: Given:

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: Given that f(3) = -1 and f'(3) = 5, find an equation for the tangent line to the graph of y = f(x)…

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Q: QUESTION 6 If fix) – x and f(x)-3x², then the slope of the curve y-fx) at x -2 is : O 12 02

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Q: Question 5 Two different level curves of the graph of z = f(x, y) can intersect. O True False

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Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: Given that f(3) = -1 and f'(3) = 5, find an equation for the tangent line to the graph of y = f(x)…

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Q: The equation 12x-0.5 = -3(y+6) represents the equation of the tangent line to the graph of g(x) when…

A: Given that, Equation of tangent to the graph of g(x) is, 12x - 0.5 = - 3(y + 6) we have to find the…

Q: The equation of the tangent to the curve f(x)=x3−6 which is parallel to −2y+54x−3=0 is...

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Q: Question 3 Let f(x) = 2x³ – 3.x2 – 6x + 2. Find the the equations of all tangent lines to f which…

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: EXAMPLE 6 Find an equation of the tangent line to the parabola y = x2 - 6x + 8 at the point (1, 3).

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Question 2. Compute the slope of the secant line over the interval [-1,3] of the function g(x) with…

A: Compute the slope of the secant line over the interval -1,3 of the function as follows.

Q: An equation of the line tangent to the graph of g at x = 3 isy = 5x + 4. Find g(3) and g′(3).

A: The tangent line of function g at x=a is defined as y-ga=g'ax-a

Q: 9. Find the points on the graph y = х-2 7x - where the slope of the tangent line is parallel to 28х…

A: Given-  Consider the graph y=7xx-2. To Find- The points on the above graph , where the slope of the…

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: Find the points where the graph of 2y-x+4x-6y+1=0 has horizontal or vertical tangents.

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Q: Find the equation of the curve whose slope at any point is In and which xy2 passes through the point…

A: Point (x1 , y1) = (1, -2) Slope = ln1xyxy2

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

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Q: Find the equation of the line tangent to the graph of f(a) 3a+ 2a - 7 - 4 at

A: given…

Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

A: Solution of given question is written in below steps.

Q: Find the equation of the line that is tangent to the graph of f(x)=3x^2−5 at x=2. You should enter…

A: The tangent line of a cure at a point is the line which touches the curve at the point, such that…

Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: 20. Find the equation of the curve for which y" = x, and which through the point (1, 2) and the…

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

A: To find the equation of the tangent line to the graph y=2x+1x+2 at 1,1

Q: An equation of the line tangent to the graph,of f (x) = x(1– 2.x)' at the point (1,–1) is D y = 7x…

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Q: Find an equation for the line tangent to the graph of at the point (a, f(a)) for a = = 2. y = f(x) =…

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Q: Question 3 Find the equation of the line tangent to the graph y = x3 – 3x2 – 5 at the point of…

A: It is equation of line problem

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: The slope of any curve at any point is given by its derivative at that point. two parallel lines…

Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

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Q: (1) Find the equation of the line tangent to k(r) = (x³ – 5)(x² + x) at the point (1, –8). Write…

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