(2 – 4t) sin() tan(2r) V17 – cos(2nt) Find the equation of the line tangent to the graph of f at r = Given: f(r) = dt tr%3D

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Q: 4) Consider the curve given by: cos(xy) = x(y – 7) – 1 a) dy Find y' xp dy dx b) Find an equation of…

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Q: 2. A particle is moving along a line with velocity given by the function v(t) =t tanh(ln t)[sech(ln…

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: dy -4 cost, the third order derivative dt For the function is dt3 O 4 sin t -4 cost -4 sin t 0-4sin…

A: dy/dt = 4cost

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Q: 1 35. Solve f - dx the following two ways: x² +9 (a) with the trigonometric substitution x = 3 tan…

A: To solve∫1x2+9

Q: 7n Find the average rate of change of f from t to 2 f(x) = cos 2 %3D

A: The average rate of change of the function is:

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A: Given :                          x = cos t2+1      , t≥0To find velocity V = dxdt

Q: 4t-5 b) Find for y = sinvt – 1, and x = dx cost b) Find dx for sin?x – cos?y = tanx Jz dt %3D t+2

A: We have to find dydx (1) y=sint-1 and x=4t-5cost (2) sin2x-cos2y=∫ytanx31t+2dt

Q: X= cos t, y= sin t; t= 6

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Q: Lv f(t) dt = In(x) cos(x) + Given f(t) dt, find f (x). You may find FTC 1 useful. sin(3)

A: 1(c).  Given that ∫sin(3)xf(t)dt=ln(x)cos(x)+∫e-t3f(t)dt To find: f(x)=?

Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…

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Q: Question 2 Find an equation for the line tangent to the curve at the point defined by the given…

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Q: In your department, you were required to investigate the relation between the displacement,…

A: both of the equation can be solved using the method of variable separable.

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Q: 4 Find dy/dx for: y = sec?x- tan²x b- y = sec -x) C- y = sin(tan(3x))

A: It is asked to differentiate the following functions with respect to x: a) y=sec2x-tan2x b)…

Q: 6. (a) Find a function u(x, y) that is harmonic in R2 and that equals f(0) = sin(30) + cos(40) on…

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Q: 2a's at L{sinh at sin at} = (s* +4a*)

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Given equations - x = sec2t-1                                       x = tan2t         .........(1)…

Q: 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy b) x cos(2x + 3y) = y sin…

A: NOTE - (“Since you have posted multiple question with multiple sub-parts, we will solve first…

Q: Find dydx implicitly for the equation sin y = x. Then find the largest interval of theform −a <…

A: The given equation is sin y=x. Differentiate both sides of the above equation with respect to x-axis…

Q: Then f' (x) = 9/(sinx+3cosx))^2 The equation of the tangent line to y = f(x) at a = t/3 can be…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: 3T sin (1) A particle moves along the x-axis with velocity given by v(t) 3 t> 0. If the particle is…

A: Given query is to find the position of the partical at indicated time.

Q: dy of the following. dx A. Find cot (1-x)+tan(1-х) sin? 4x 2. у %3 sec(1-x) 1+2 cos 4x+cos² 4x 3. y…

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Q: - ual2) V17 – cos(27at) (2 – 4t) sin(#) Given f(r) = edt, find the equation of the line tangent to…

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

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

Q: I and y are related by 16 ye8 xy = sin (5 z). (a) Find dy at the point (0, 0). (b) Find the equation…

A: since given that x and y are related to each other as 16ye8xy=sin(5x)

Q: A b. C find an equation of the tangent to the curve at the given point (T/6,1) 4 sin ² x y = + y =…

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Q: 3. Consider the curve given by r = 2+2 cos (0) where 0<0<2n. Find the slope of the tangent IT line…

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Q: 2 sin x Let f(x) 4 sin x + 6 cos x Then f' (x) = The equation of the tangent line to y = f(x) at a =…

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Q: A curve C has the equation y=ln(tan(1/2x))-3sinx, 0<x<π Find the x coordinates of the points on C…

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: Given a point is moving along the graph of the given function at the rate of dxdt. Given function is…

Q: Find the equation of the tangent line to the curve 1 y = 3 sin z + 4 cos a at the point (0, 1/4).…

A: Given:     y = 1 / ( 3 sinx + 4 cosx ) Point: ( 0 , 1/4 )

Q: (1) C) What is y'(x) for a function defined by the equation x sin(ay) = y+ e" as it passes through a…

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Q: An equation of the tangent line to the curve y = sin(z) at x = 1/6 is y = -(z – 7/6) . An equation…

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Q: 2+ cos x 5 (b). Let g(x) = Find equations of the tangent and normal lines to the x sin x graph of y…

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Q: Find dy/dx of: x3 - sin y = (1/x3) + tan-1 (ey) - π/4 Don't simplify the final answer.

A: Given:     To determine:

Q: 6. (a) Find a function u(x, y) that is harmonic in R² and that equals f(0) = sin(30) + cos(40) on…

A: To find- Find a function ux, y that is harmonic in R2 and that equals fθ = sin3θ + cos4θ on the…

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Given,         x=t-sint , y=1-3cost , t=π3

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

A: We need to find an equation for the tangent line to the curve at a given point of t. Also, we need…

Q: Q1- i) Show that cosh?x – sinh?x = 1 ii) Find the equation for the tangent line to the curve y = Vx…

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Q: 11. Find an equation of the tangent to the curve y = In(4 + x") at the point %3D 12. i) Find the…

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Q: (H.W) Find the derivative of the function at Po in the direction of A. 2- h(x, y) = tan-'(G + v3…

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Q: cos(x) 1– sin(x) 12. У | 22. Find an equation of the tangent line to the curve at a given point y =…

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