What is the equation of the curve whose slope at any point is equal to y cotx + tan?x and which passes through (4,2) ? y = tan x + V2 sin x y = cotx +v2 sec x D y = sec?x – 3cot?x y = 3sin?x + 3 cos x O A В

Q: 1) Find an equation of the tangent line to the curve at (1,1). y = cos (In x²) %D

A: Given. Curve is  Y = cos(ln X²) We need to find the equation of the line which is tangent to the…

Q: 0.7 y(t) = 0.11 cos 7.6t+ sin 7.6t+ 0.17 7.6 y (1) = 0.11 cos 7.6t+ y(t) = 0.11 cos 7.6t+ y(t) =…

A: A graph is used to plot the equation as a pictorial representation. By the graph, it is easy to…

Q: 4 A. sec* t- sec² t = tan´ t+tan* t

A: The given identity is,sec4t-sec2t=tan2t+tan4t

Q: Q) Plot, on the same figure, two related functions of y1 = sin? (x) and y2 = cos (2x), in the…

A: The two curves to be plotted are  y1=sin2x and y2=cos2x.

Q: Find y". 1 y = tan(-6x - 3) Select one: 2 A.24sec (-6x - 3) tan(-6x - 3) 2 О В.- 2sec (-6х - 3) С.2…

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Q: What is the equation of the curve whose slope at any point is equal to y cot x + tan?x and which…

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Q: 2) Find the derivative of a) y = (x-2x4)5 (sin 2x). etanx √3x6-sec 6ex √8x+In x d) f(x) = cos(x¹ -…

A: (a)   Given    y = x-2x45 sin 2x             ⇒  y' = x-2x45 2 cos 2x +sin 2x 5x-2x441-8x3…

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Q: first and second at point x=3 of the given function the value of its derivatives, a) Calculate…

A: Given a function: fx=2ex+cosx-5x2+7x (a) To find the first and second derivatives of the function…

Q: What is the slope of the line tangent to the curve x = :5e' – sin 4t and y = 8e" - cos 4t at the…

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Q: Inverse Thig Achinty B . g)-3 tan- (3x) y=(5x²)(cas"!2x) 3. Ccsc-!2x) 4 2. - y =

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Q: (cos xy +5 dx + (1+ cos xy ) dy = 0 ху

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Q: y= (1+ tan ()

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Q: a) y = 2cos?t+2 ; x=(r* +3)' b) y= 5te" ; x=4e c) y=(3t sin 3t – 1)* ; x= 612

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Q: 3nt 3nt s = sin 2 + cos 2 %3D

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: V. Find the third derivative: 1) y = 10 tan(x) - 2 cot(x) 2) y = x³ - x² sin (x) 1 3) y = 2 sin(x)-4…

A: The given problem is to find the 3rd derivative of the given functions.

Q: Determine the equation of the line that is tangent to y = 2 tan x, where x = 4. O-4x + y - (2-) = 0…

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Q: y=$sin(4x-

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Q: 8. Find if y (sin x + cos x) sec x dx

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Q: Find the point on the graph of y = sinh x at which the tangent line is parallel to the line through…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: Q1) Find the first derivative of the following equations: y = x'V

A: