Use four equal-length Hermite curves to interpolate y = sin(x) in the interval [0,2π].

Q: Find the point at which the tangent line to the curve r= (1+sin e) is parallel to the Х-аxis?

A:

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

Q: At what points (r, 0) on this curve are the tangent lines horizontal? Use 0 < 0 < 2n. r = 1- sin 0

A:

Q: Find an equation of the tangent line at the point specified. y = 4 sin x + 6 cos x, X = 0

A: To find An equation of the tangent line at the point specified

Q: Find the slope of the tangent to the astroid x = a cos30  y=  a sin30 in terms of 0

A:

Q: Find the equation of the tangent line to sin-(x - 2y) = 2xy – 1 %3D (1). at the point

A: Given,            The equation of the line is sin-1x-2y=2xy-1 and the point is 1,12.We know that,…

Q: Find the slope of the tangent line for the curve r = 4 – 5 cos 0 when 0 6 %3D -

A: r=4-5cosθ

Q: Find the slope of the tangent line for the curve r = 8 – 6 cos 0 when 0 4

A: Consider the provided curve, r=8-6cosθ where θ=π4. Find the slope of the curve. First we converting…

Q: What is the equation of the line tangent to the curve e'+cos(x) = 1 at the point .0?

A:

Q: The equation of the tangent line to the graph of y = tan(4x²) at æ = VT is given by y = mæ + b for m…

A: We have to find the equation of the tangent line to the graph of y=tan4x2 at x=π.

Q: Find an equation of the tangent line at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

Q: Find the equation of the tangent line to sin-1(x – 2y) = 2xy – 1 (+) 1, at the point

A: Given:- Sin-1(x-2y) = 2xy-1 To find :- Equation of tangent line at point (1, 1/2)

Q: Find an equation of the tangent line at the point specified. y = 4 sin(x) + 6 cos(x), x = 0

A: We have to find equation of tangent line

Q: Ħ! Find the equation of the tangent line to the graph of f(x)= and is paralle I to the line x+2y=6…

A: A parallel line will have an equal slope.

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A: Solve by converting polar form into coordinate form

Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

A:

Q: Determine the equation of the tangent line to the graph of 3sin y – In(e secha) = tan- (x²y) + 3 at…

A: Given  : 3siny - ln(e sechx) = tan-1(x²y) + x/3

Q: Find an equation of the tangent line at the given point on the curve. (a) x = 2 – 3 cos 0, y = 3+2…

A:

Q: a point on the cor ve y=x² - 2x -3 at which is parallel to Find the tangent line the X-axis

A: Given query is to find the the point where tangent line paray to x axis.

Q: f (z) = sin (3,/7) at the point 72,0)

A:

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: Find an equation of the tangent line at the point specified.

A: Consider the function Find the value of the function when t = π/3. Therefore, we have the tangent…

Q: At what point on the interval (0, 7/2) does the tangent line to the curve = 3x + V3 cos x – sinx…

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Q: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

A:

Q: (플아 What is the equation of the line tangent to the curve e + cos(x) = 1 at the point ,0?

A:

Q: At the given point, find the line that is tangent to the curve. 5x3y - n cos y = 6t, tangent at (1,…

A: 5x2y-πcosy=6π=ddx(5x2y-πcosy)=ddx(6π)=10xy+5x2y'+πy'siny=0=(5x2+πsiny)y'=-10xy y'=-10xy5x2+πsiny…

Q: Find the equation of the tangent line to the graph of the equation sin "(a + v) = - at the point (1,…

A: Tangent line to the curve

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Use derivative

Q: 1. Use four equal-length Hermite curves to interpolate y = sin(x) in the interval [0, 2r].

A:

Q: Find an equation of the tangent line at the point indicated. y = Cos x, π/3

A: To find an equation of the tangent line y = cos x, at the point x=π3 At point x=π3, y=cosπ3y=12 The…

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: What is the slope of the line tangent to the curve x = 7et – sin 6t and y = 6e6t - cos 6t at the…

A: We have to solve given problem:

Q: Find the equation of the tangent line to the graph of the functionf (z) = sin (7/z) at the point…

A: Given equation is                                              f(x)=sin7x we have to find tangent at…

Q: Find a point of the following curve at which the tangent line has equation = x + T. .2 2.xy –…

A: Given equation of tangent  is     y=x+π⇒ slope of tangent  =1

Q: Find an equation of the tangent line to the curve at each given point. x = 2 – 3 cos 0, y = 3 + 2…

A: Topic :- Application of Derivative

Q: Find the equation of the tangent line to the following equation at the specified point y= cos-1(x)…

A:

Q: Find the point at which the tangent line to the curve r= (1+sin e) is parallel to the х-аxis?

A: Solution: We know that, the slope of the x-axis is 0, therefore any line parallel to x-axis must…

Q: Find an equation of the tangent line to the curve y=sin(3x) + cos(4x)   at the point (pi/6),…

A: Given equation is y=sin(3x) + cos(4x).

Q: Find an equation of the tangent line to the curve at the given point. (;-) TT y = sec(x) – 6 cos(x),…

A: We find the first derivative.

Q: Find the length of the curve.   y = 2 In (Sin 1/2 x) , π /3 ≤x ≤ π

A: y=2lnsin12x,  π3≤x≤π Differentiating with respect to x, we get dydx=2·1sin12x·ddxsin12x…

Q: Find the slope of the line tangent to the curve r = cos(30) at 0 4

A: To determine the slope of the tangent lines.

Q: Find the points on the curve r = 1– sin 0 - where the tangent line is horizontal or vertical.

A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

Q: Find the slope of the tangent line for the curve r=sin⁡2θ at the point where θ=π/4.

A: Given,

Q: 20. r = 3 cos 0 %3D

A: The given equation is; 20.       r= 3 cos(thetha). Repost the 21 and 22.

Q: Find the equation of the tangent line at =n/6. r tan O

A: We Have to find

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

A: Given curve is y=x-x2+sin-1x.

Q: Find all the points where r = 2 + sin theta has vertical and horizontal tangent lines.

A: Consider the given question,Express the given polar equation in the parametric form as follows,

Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (0) ? y = x +;…

A:

Q: The equation of the line tangent to y= sin x +2 cosx at 1 is

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

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: