27-30 Modify the argument of Example 1 to find the equation of the tangent line to the specified graph at the point given. 27. the graph of y =x² at (-1, 1) 28. the graph of y=x² at (0,0) %3D

Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (7/2, 87). (b)…

A: a) The slope of the tangent is the derivative of the function, dy/dx. m=dy/dx

Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

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Q: 1) Find an equation of the tangent line to the curve y5+x2y3 = 1+x4y at the point (1,1).

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

Q: 1) The tangent line to a certain curve at any point P (x, y) has an x-intercept equal to x. This…

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Q: . Find the equation of the tangent line to the curve y=(x-1)^ 5 (x+4)^2  at the point (2,36). The…

A: As our company guidelines we are supposed to do only first question please repost other question as…

Q: (a) Find the slope of the curve y = x -7x at the given point P(2, - 6) by finding the limiting value…

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Q: Find an equation of the tangent line to the graph of the equation at the given point : g(x) = x³ +…

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Q: Can I get help with this question step by step?

A: To find slope we have to find the first derivative and plug the given point. x=1, y=-7Slope =-5

Q: The tangent line to the graph of y = g(x) at the point (2, 8) passes through the point (1, 4). Find…

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Q: 8. Question: If you know the point (5, –1) lies on the function and that the point (2,7) lies on the…

A: Answer

Q: tangent line

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Q: 1) The slope of the tangent line to the curve y=2/x at the point (4,1/2) is:   2) The equation of…

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Q: 3n Find the equation of the tangent lines to the curve y = sin x at x = - T, 0, and 2 Graph the…

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Q: 1 Find an equation of the line tangent to the graph of f(x) = x? 이) a) at (1,1); b) at c) at a) The…

A: Find out the equation of tangent line using y-y1=m(x-x1), where m is the slope and x1,y1 are the…

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 5 if g(5) = −4 and g'(5) = 3.…

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Q: 5.2 Consider the curve that passes through the point (0,10) and is such that the slope of the…

A: We have to find the curve that satisfies the given conditions of the problem.

Q: = -4 and g'(2) = 3. (Enter your answer as an equation in Find an equation of the tangent line to the…

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Q: 5) Find all points (x, y) on the graph of y = - with tangent lines perpendicular to the (x - 4) line…

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Q: 24. At what point(s) on the curve (y - 2)² = x is the tangent line vertical? The tangent line is…

A: The given curve,   y-22=x

Q: a. Sketch the curve f(x) =x/(x-1)^2 b. Find the equation of the tangent line and normal line of the…

A: a) f(x)=x(x-1)2b) y3+3xy+x4=5 at the point (1,1)

Q: 1 Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at a) The…

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Q: 15 Given a tangent line to the curve y=x-2x is perpendicular to the straight line 7 23 Find the…

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Q: 10. Find an equation of the tangent line to the graph of y = x - 3x? + 2 at (1,0). 11. Find an…

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Q: 10/11 Find an equation of the curve whose tangent line has a slope of f'(x) = 3x given that the…

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Q: 24. At what point(s) on the curve (y - 2)2 = x is the tangent line vertical? The tangent line is…

A: topic - vertical tangent line

Q: 5. The slope of the tangent line at any point (x, y) on a curve is 10 – 4x, and the point (1, –1) is…

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Q: 10- Find an equation for the line tangent to given curve at the given value of x. y = x2- x at x =…

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Q: 36. Find an equation of the tangent line to the curve at the given point. y = Vx – x , (1,0) - 56.…

A: Given equation y=x14-xDifferenciate with  respective xdydx=14x14-1…

Q: 10. Find the derivative of: 5e-7xcos(8x). [Hint: use product rule and chain rule!] Now, find the…

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Q: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

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Q: 1-x The equation of the tangent line for y = at (- 2, – 3) is 1+X

A: AS PER GUIDELINES I CAN ATTEMPT ONLY FIRST QUESTION

Q: Find the slope of the line tangent to the graph of ƒ(x)

A: Consider the following function: fx=xx+6 Differentiate fx with respect to x:…

Q: A function H is differentiable at x = 2. An equation for the line tangent to the graph of H at x = 2…

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Q: 10. The equation 12x – 0.5 = -3(y+6) represents the equation of the tangent line to the graph of…

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Q: a) find the slope of the curve y=x^3-11x at the given point P(2,-14) by finding the limiting value…

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Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the…

A: To find the equation of tangent.

Q: Find an equation of the tangent line to the curve at the given point.   y = 4x + 2 cos(x),    P =…

A: Equation of tangent line is ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line .

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: (a) Find the slope of the curve y =x° - 14x at the given point P(1, - 13) by finding the limiting…

A: Let the curve y=x3-14xbe as shown in figure . Let Q be any arbituary point on the curvewith…

Q: Consider the following. y = 4x2 – In(x), (1, 4) (a) Find an equation of the tangent line to the…

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Q: 2 Find the equation of the tangent line to the graph of f(x) = - at X The equation of the tangent…

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Q: The tangent line to a certain curve at any point P(x, y) has an x-intercept (not slope) equal to 3…

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 – 3x + 2, (3, 20)

A: Given:       To determine the equation of tangent line to the curve y= x3-3x+2 at the point (3,20).

Q: A function H is differentiable at x = 1. An equation for the line tangent to the graph of H at x = 1…

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Q: 5 1 Find the equation of the tangent line to the curve y = 11 at its point of intersection with 6 x²…

A: Given problem:-

Q: 6. The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y − 3)2 = 37,…

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