Let f (x) = sin (2x + 1), 0

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e- sin x and passes…

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Q: Find all points (x, y) on the graph of g(x) = x3/3 -3x2/2+1 tangent lines parallel to the line 8x -…

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Q: 4. Find an equation of the tangent line to the curve of f(x) at the given point. 2x + 11 (a) f(x)= =…

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Q: The slope of the tangent line to the graph of f(x) D x2 at a = -1 is: %3D %3D

A: Given  equation of the graph  f(x) = xx2-x                        ...........(1) We have to find the…

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

A: Given curve is y= lnsecx .  We have to find the length of the curve from x=0 to x=π4. Length formula…

Q: 9. Find the slope of the tangent line to the graph of f (x) = sin (cos 2x) at x = 1 A. -2(sin 2)(cos…

A: we have to find the slope of the tangent line to the graph of fx=sincos 2x at x=1

Q: Prove that the curves y=f(x),(f(x)>0) and y = f (x)sin x, where f(x) is differentiability function,…

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Q: a) Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y - 2y³ In…

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Q: tangents are drawn from the origin to the curve y=sin x.Prove that their points of contact lie on…

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

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Q: Determine the equation of the curve whose tangent line at any point (x, y) is ex - sin x and passess…

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Q: A curve is defined by y=(1/3)sin(2x+1). Evaluate the angle between the tangent to the curve at x=2,…

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Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x-3.

A: The graph of y=xx-4 with tangent line perpendicular to the line y=4x-3

Q: 1- Find the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point. x = N.

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

Q: The equation of the tangent line to the curve of f(x) = 2x² at x = a) f(x) = 4x – 2 b) f(x) = 4x + 2…

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

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Q: . Find all points (x, y) on the graph of f(x) = x with tangent lines passing through the point (3,…

A: Tangent line has an equation of line with slope equals to derivative of the function at that point.…

Q: Find the points on the interval [0, 2π) where the graph of the function  f(x) = 2 sin(x) + sin2(x)…

A: Given:f(x)=2sin(x)+sin2(x),       [0,2π)

Q: respect to x of/ /(3Vi-1) dt is 3x – 1 by the 2nd fundamental theorem of C The derivative with (A)…

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Q: Show that the inflection points of the curve y=sinxxy=sin⁡x/x lie on the curve y2(x4+4)=4.

A: Given: To prove that the inflection points of the curve y=sinx/x lie on the curve y2(x4+4)=4.

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 20x + 11 with tangent lines parallel to the…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

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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: (B): Find the tangent equation to the curve y = sin² x at point x F.

A: We can find the tangent equation at the given point as below.

Q: x2y2=x2-y2

A: Using method to find locus we get

Q: Find a > 0 such that the tangent line to the graph of f(x) = x 2e-x at x = a passes through the…

A: fx=x2e-x Differentiating with respect to x, we get f'x=dx2dx·e-x+de-xdx·x2=2x·e-x-e-x·x2=x e-x2-x…

Q: Find all points (x, y) on the graph of y = x/(x - 2) with tangent lines perpendicular to the line y…

A: Given:

Q: find all points (x,y) on the graph of f(x)=3x^2-5x with tangent lines parallel to the line y=7x+1.

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Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

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Q: Determine the points in the interval [0, 2π) at which the graph of the function f(x) = √2x + 2…

A: We find point of tangent on given curve.

Q: 2) Find all points on the graph of f (x) = 2 sin x + sin2 x at which the tangent line is horizontal.

A: Given fx=2sinx+sin2x To find points:

Q: Find the equation for the tangent line to the curve f(x)=cos(x)-2sin(x) at the point (0,1). O y=-x+1…

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Q: Find an equation of the tangent to the curve x=cos(t) + cos(2t) , y=sin(t) + sin(2t) at the point…

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Q: The finite difference approximation of the first derivative in the simple implicit method used to…

A: given  ∂2u∂x2=∂u∂t to find the finite difference approximation of the first derivative in the…

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 5. Determine the equation of the curve whose tangent line at any point (x, y) is e* – sinx and…

A: We need to find equation of curve.

Q: 5. Find the tangent line to the curve of f(x)= Vx2 +8x at x = 1.

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: 1- Find the equation of the tangent to the curve y = 2 sinx+ cos2x at the point x =a. 2- Find the…

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Q: 6. Find the equation of the tangent line to f(x)= = tan (2x) at the point (n/8, 1).

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Q: 41. Find the points on the graph of f(x) = 5- 2 sin.x, 0<x 27, at which the tangent line is parallel…

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Q: Find all points (x, y) on the graph of y = with tangent lines perpendicular to the (x- 6) line y= 6x…

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Q: 1. Find the equation of the tangent line to the graph of f (x) = x²e-* at x = 1. %3D

A: The given function is: fx=x2e-x In order to find the slope of the given function, find the…

Q: Let f(x) 2.x2. Then f'(x) = 4.x. Find the equation of the tangent li at x = 1 for f (x). That is,…

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Q: A curve y = f(x) defined for values of x > 0 goes through the point (1, 0) and is such that the…

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Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

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Q: Find the exact length of the curve. y = √(x - x2) + Sin-1 √x

A: Given curve is y=x-x2+sin-1x.

Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: 1- Find the equation of the tangent to the curve y= 2 sin x+ cos2x at the point x = n. 2- Find the…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…