3. The diagram below shows a curve with equation y = 1 + k sin x, defined for 0

Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

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Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

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Q: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

A: We find dy/dx at x=1 and y=2  So the slope of the tangent = 9/4

Q: Solve for C given the general functions below and the specific point. 9. Find the equation of the…

A: Since:              The given general equation is of the form:…

Q: 6. Find the point on the curve y = yx that is closest to the point (3, 0)

A: let P is the closest point then say (x,y) then find the distance from the point (3,0)  then minimize…

Q: 28. The line tangent to the graph of g at the point (x, y) inter- sects the x-axis at the point…

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Q: 12. Given the point ( 2, 1) on a tangent line to the curve ƒ(x) = x² − 2x + 5 find the point(s)…

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Q: 1.10 Consider the curve y = 2x- x, where x increases at a rate of 3 units/sec. Find how the slope of…

A: Topic:- slope of curve and application of derivatives

Q: The curve y = ax² + bx + c passes through the point (1,8) and is tangent to the line y= 6x at the…

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Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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Q: 3. (a). For a curve defined by an equation f(x), satisfy dy + (1 – 2x)y = 4x for x > 0 and - dx f(1)…

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Q: 3. An equation of line tangent to a curve at the point (1,3) is y = 2 + x. If at any = 6x, find an…

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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. In the open interval (0, T/2) , find the point where the slope of the curve is 4? y = tan x

A: Given function , y= tan x, we have to find at what point, slope of the the given graph is 4.…

Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: 3 Find a cubic function Y= ax²³²+ bx tcx td whose graph has horizontal tangents at the points (-2.4)…

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Q: 53. What is the largest value possible for the slope of the curve y = sin (x/2)?

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Q: 2. Find the equation of the line tangent to the curve at the point indicated. Express your answer in…

A: As we know that; The slope of the tangent line to the curve at a given point Px0,y0 is equal to the…

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

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Q: The point (2,1) is on the graph of x2 . y3 + 5· x² = y² + 23. Find the slope of the line tangent to…

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Q: 2) Find the equation of the curve whose slope at any point p(x,y) is m =x (x +5)² and passing…

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Q: 2. Find the values of a and b for the curve cos(Ty) 1 by² + ax² – x + 1 %3D if the point (1, 2) is…

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x =…

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Q: 2r+19 Find all values of x at which the tangent line to the curve y = x+9 has the y-intercept 2.…

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Q: The curve y = ax + bx +c passes through the point (1,9) and is tangent to the line y = 4x at the…

A: Please see the answer below.

Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: 23. A tangent line drawn to the graph of y = 2x/(1+ x²) at the point (2,0.8) forms a right triangle…

A: Given: y=2x1+x2; 2,0.8 we know that for finding equation of tangent at point2,0.8, first we need to…

Q: Can you help me step by step?

A: Given equation of curve is y=ax2+bx+c which passes through (1, 3) so point (1, 3) will satisfy the…

Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: Suppose the line tangent to the graph of f at x = 3 is y = 2x +4 and suppose y = 5x - 2 is the line…

A: Given the line tangent to the graph of f at x=3 is y=2x+4 and y=5x-2 is the line tangent to the…

Q: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

Q: Find all values of x at which the tangent line to the curve y = 2x+3 x+1 has the y-intercept 2.…

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Q: 1) Find the Linearization x of the function -V1+2x when x is near 0 Find the equation of the tangent…

A: As per Bartleby guideline if more than one question is asked only first question to be answered…

Q: 19. For what value of h will the line y =-2x +h be tangent to the parabola y = 3x +4x-1? (4T) b)…

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Q: 8. Find all the points on the curve y-2x +6x. at which the tangent to the curve is parallel to…

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Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: 4) Given :y = ax + bx +1, the curve touches the line x+ y = 0 at %3D The point (3,-3). Find the…

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Q: 2. A curve C with equation y = sin2x 0 < x <5, has a stationary point, P. e3x dy (a) Find an…

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Q: 3 where do the curve of y = cosx and y = x³ -1 intersect?

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Q: The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the…

A: We have to find  the equation of tangent in the form of y=mx+c.

Q: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

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Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 33. (a) The curve with equation y² = 5x* – x² is called a kampyle of Eudoxus. Find an equation of…

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Q: 3. 2. The graph of the function y=V1+x is given below. a. Find dy and d'y dx dx -2 b. Find the…

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Q: 25) Find the point on the curve y = Inx that is closest to the point (2, 3) with two digits accuracy…

A: So the point (2.731,1.0046) are closest to the curve y = ln (x)

Q: 13. BONUS: Find the coordinates of all points on the graph of y=1-x at which the tangent line passes…

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Q: 11. Find an equation of the tangent to the curve y = In(4 + x") at the point %3D 12. i) Find the…

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Q: Find the values of h, k, and a that make the circle (x - h)2 + (y - k)2 = a2 tangent to the parabola…

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