find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of d^2y/dx^2 at this point. x = 4 sin t, y = 2 cos t, t = pi/4

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an…

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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: find an equation of the tangent line to f(x)=3 cos(x) at x=2pi/3 Let y=f(x) and express the…

A: At x=2π3, f(x)=3cos(x)f2π3=3cos2π3f2π3=-32So, the point is 2π3,-32

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

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Q: what is the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2^x) at x =…

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (27, 0) %3D

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Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

A: To find the equation of the tangent line, first, we need to find the slope of the tangent line. The…

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

A: Given equation - y = 5excosx           .............................(1)Let the equation of the…

Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

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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: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: Find an equation of tangent line to the graph of f(x) = 2 sin x + cos 2x at (π, 1).

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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: We have to find equation of tangent line

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4…

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Q: of the tangent line to the sine function at the origin. y y= sin(7 x) values with the number of…

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Q: sin(7x) + sin2(7x),  (0, 0

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Q: At any point (x,y) on a particular curve, the tangent line has a slope equal to 1+ sin (x 5) If the…

A: At any point (x,y) on a particular curve, the tangent line has a slope equalto 1+sinx-π2, the curve…

Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

A: y=sinx2

Q: Find the slope of the tangent line to the sine function at the origin. y y = sin(3 x)

A: Slope of tangent line to the curve is given by first derivative of curve at given point .

Q: Find an equation of the tangent line to the curve at the given point. y = 3ex cos(x), (0,3) %3D

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Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

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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 slope of the tangent line to the path of a carnival ridex=8 cos(t) + sin(81), y = 8 sin(t)…

A: The slope of the tangent is dydx.

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

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Q: Find an equation of the tangent line to the curve y = sin(3x) + cos(2æ) at the point (, y()).…

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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. 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 an equation of the tangent line to the curve at the given point. sin(sin(x)), (37, 0) y

A: The given expression is,

Q: Find an equation of the tangent line to the curve at the point corresponding to the given value of…

A: The given paramedic equations are,

Q: Verify that the point ( is on the curve x Sin2y = y cos 2x . Use implicit differentiation to find…

A: We have given the equation of curve as x sin 2y=y cos 2x and have to prove that point π4, π2 that…

Q: Give the equation of the tangent line to the graph of 3sin y − ln(e sech x) = tan−1(x2y) + x/3 at…

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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 equation of the tangent line to the graph of the function f (x) = sin (3/7) at the point…

A: SOLUTION-

Q: Find an equation of the tangent line to the curve at the given point. y = 2/sinx+cosx,    P = (0, 2)

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Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin r), (3T, 0) y =

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Q: Find an equation of the tangent line at the point indicated.

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Q: Find an equation of the tangent line to the curve at the given point. y = 7e* cos(x), (0,7) y =

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Q: Find the slope of the tangent line to the curve 5 sin(x) + 5 cos(y) – 6 sin(x) cos(y) + x = 6T at…

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Q: Find an equation for the line tangent to the curve 2 sin(20) - cos(30), y- sin(40) + 3 cos 0 at 0 =…

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Q: Find the slope of the line tangent to the curve at the given point y%3D25 sin x; x = F/3

A: We find dy/dx

Q: Find an equation of the tangent line to the y = sec(x) – 6 cos(x), P = 3 y =

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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: 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 line that is tangent to the curve y = e* sin x at the point (0, 0). Tangent…

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

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

A: We will solve the problem