Of the infinitely many lines that are tangent to the curve  y = −3 sin(x)  and pass through the origin, there is one that has the largest slope. Use Newton's method to find the slope of that line correct to six decimal places.

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: The graph of f(x) = −sin x has infinitely many tangent lines that pass through the origin. Use…

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

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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 an equation of the tangent line at the point indicated. y = tan x, π/4

A: Given: y=tanx , π4 To Find: Equation of tangent line

Q: Find an equation of the tangent line to y = 7 sin(x) at x =

A: Solution-  Equation of tangent is given by y = mx+ c ( where m is slope)    Given equation is  y = 7…

Q: Find the slope of the tangent line to the curve 6 sin(x) + 2 cos(y) – 4 sin(x) cos(y) + x = 3T at…

A: We have to find the slope of the tangent line to the curve…

Q: What is the slope of the tangent line passing through y = x^2 − 3x − 5 at (−1, −1)?

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: he tangent line to y = f(1) at (-3,9) passes through the point (9,-3). Compute the following.

A: The slope of the line passing through the points, (x1,y1) and (x2,y2) is given by .

Q: Of the infinitely many lines that are tangent to the curve y= -Sinxand pass through the origin,…

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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 points on the given curve where the tangent line is horizontal or vertical. r = 1- sin 0

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Q: Find the equation of the tangent line to the curve y = sin x cos x at x = π/4 (Coefficients must be…

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Q: At how many different values of x does the curve y = x +2x have a tangent line parallel to the line…

A: Given equation of curve is Differentiating with respect to x, we get

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: Find an equation of the tangent line at the origin to the curve 1+ sin(x + y) = xy + cos y.

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Q: 4. Find the slope of the tangent line to the curve 2xy + 4* = y? – tan(2x) at the point (0, 1). Give…

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Q: Find all points at which the tangent line is horizontal on the graph of the function. y(x) = 6 sin x…

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Q: Find the equation of the tangent line to the curve y sin(2x) = x cos(2y) at the point (5,).

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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 an equation of the tangent line at the point specified. y = sin x + 3 cos x, x = 0

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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: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

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Q: Find the equation of the line tangent to the graph of f at the indicated æ value. y = 4 sin¬1 2x, æ…

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Q: Find an equation of the tangent line to the curve at the given point. 3 y = sin(x) + cos(x)' Р%3D…

A: Given,  Equation of line: y = 3sin x + cos x We need to determine the equation of tangent at point…

Q: Find an equation of the tangent line to the curve at the given point. y = 8ex cos(x), (0,8) y =…

A: Here y is given find.slope.from.it then solve as below

Q: Find the slope of the tangent line to the curve 5 sin(æ) + 3 cos(y) – 4 sin(x) cos(y) + x = 7n at…

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Q: Find the slope of the tangent line to the curve 2xy + 4* = y2 – tan(2x) at the point (0, 1). Give…

A: Given curve:      2xy + 4x = y2 - tan2x   slope of the tangent line  =  ?

Q: Find an equation of the tangent line to the curve atthe given point.   y =sin(sin x) , (π , 0)

A: y = sin(sinx) dy/dx = cos(sinx).cosx

Q: Suppose the tangent line to the curve y = f(x) at the point (1, 1) has the equation y = 9 - 8x. If…

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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 slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: Find an equation of the tangent line to y = 5 sin(x) at x 4

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Q: Find an equation of the tangent line to the curve at the given point. y = 2ex cos(x),    (0, 2)

A: To find the equation of tangent to the curve given:

Q: Find an equation of the tangent line to the curve at the given point. y = 5ex cos(x), (0, 5)

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Q: Find the slope of the tangent line to the curve 5 sin(z) + 4 cos(y)- 5 sin(z) cos(y) + z = 3x at the…

A: Consider the curve  5sinx+4cosy−5sinxcosy+x=3π

Q: Find the equation of a tangent line of y = sin(x + π) at the point π/6.

A: We find dy/dx first  Then we plug x=π/6 to find the slope of the tangent.

Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

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

A: Given,

Q: Find an equation of the tangent line to the curve at the given point. y = 1 + sin(x) / cos(x),  (π,…

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Q: 4. Find the slope of the tangent line to r = cos 0 at 0 = 3 %3D

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Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: 4. Find the equation of the tangent line to the curve y = sin cos x at x = (Your 4. coefficients…

A: Given: The curve is  y=(sinx)(cosx)  Finding the equation of tangent line at x0=π/4.

Q: Find an equation of the tangent line to y = 9 sin(x) at x = *.

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Q: Of the infinitely tmany lines that are tangent to the curve y=-4 sin(x) and pass through the origin,…

A: Answer is mentioned below

Q: Find the slope of the tangent line to the curve  5 sin(x) + 2 cos (y) - 5 sin(x) cos(y) + x =5π at…

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Q: (a) Find the equation of the tangent line to the curvey 2 sec x – 4 cos x at the point (÷, 2)

A: Tangent line to the curve y=f(x), where f(x) is a function of x at point x0, y0is given by:…

Q: Find an equation of the tangent line to the given curve at the specified point: 4, x + 3 y =

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Q: Find the slope of the line tangent to the graph of y = sin-1 x at x = 0.

A: y=sin-1(x)

Q: Find the equation of the tangent line to the given curve at the specified point.  Include y= in the…

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