- ual2) V17 – cos(27at) (2 – 4t) sin(#) Given f(r) = edt, find the equation of the line tangent to the graph of f at r . %3D Itan(2r) /17 – cos(2at)

Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

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Q: Find the length L of the curve R(t) = -2 cos(5t) /+2 sin(5t) /+ tk over the interval [3, 6]. L =

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Q: Find the length of the curve. cos(4t) i + sin(4t)j + 4 In(cos(t)) k, 0 <t< n/4

A: We have to find the length of curve.

Q: The position of a moving particle as a function of time is given by: x = (4 - 0.1t) sin(0.8t) Plot…

A: Hi! You have posted multiple questions. As per norms, we are solving only the first one. If you need…

Q: 2.) If H (y) = cos y – sin y, find H (0), H (n),H (T), and also show that H. n+ x) = H (n - x) = -H…

A: The solution is given as

Q: 1 - If xy + sin(e) + arcsin Va dy sin 1 + 1 then what is the value of dz at (, 0) || a) b) 4 8 c)-…

A: Here we have to find the derivative of each term with respect to x and then we have to bring all…

Q: Suppose the position function of a particle is given r(t) = (√3 cos (t), t-4, √3 sin(t)). If the…

A: Given : r(t)=3cos(t), t-4, 3sin(t) is the position function of a particle. To find : If the particle…

Q: (e² sin*(2r)' 21² +1 , y = In

A: Use the lograthim rule of derivative and than with the help of chain rule calculate the derivative…

Q: 4 .Using n=8 approximate the value of cos(1+Vx )dx using 0. (a) the Midpoint Rule, (b) the Trapezoid…

A: Formula used: Midpoint rule- The interval [a,b] into n subintervals of equal width,…

Q: + b¬ + cx = 0 dt lution given by: - (A sin ßx + B cos ß.

A:

Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t25 + 4t) cos (3t).…

A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

Q: 2as L{t sin(at)} = %3D (s²+a²)²

A: We can derive it using the definition of Laplace transform or by using some identify or formula.

Q: A heat-seeking particle has the property that at any point (x, y) in the plane it moves in the…

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Q: (b) S¤(tan? #)dx (c) S cos(2t)e'dt (d*) S(arccos x)²dx (e*) S (1+ 3x)2 dx Hint: Check for a similar…

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Q: 1 is 1 H.W Find y' for y = ecosx * tan-1(5x) * (5x² + 1) ?

A: for y , y'=?

Q: 1 y = 5 sin x + 3 cos x at the point (0, 1/3). The equation of this tangent line can be written in…

A: Here a function is given and we have to find the equation of the tangent line in the form y=mx+b at…

Q: 3. Eliminate the Arbitrary Constants (C, and C2) in the equation. (25 pts) y = C,cos (At) – C2 sin…

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: 3- If a y + sin y + arctan a = sin 1 then what is the value of at (0,1)? dz -2 b)- 1+ cos 1 -1 1 a)…

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Q: 1 Cos(2x)dx 0. (i) Using composite Trapezoidal rule with n = 2, 4

A: As per the policy of bartleby the provisions is to solve only one question at a time So I am solving…

Q: Q1: Use the Improved Euler method to find y' = cos2x + sin3x ,0<x < 1,y(0) = 1, with h = 0.25. %3D…

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Q: 4. The velocity, v ms-1, of a fairground ride t seconds after it begins is given by v = (3et + 7)sin…

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Q: x = a(0 – sin 0), y = a(1 – cos 0). %3D %3D urve followed by the particle as a function of 0.

A: The given parametric equations are, x=a(θ-sinθ)...............(1) y=a(1-cosθ) .............(2)

Q: Match the equation to the graph. y 2 sin 30 - 1 %3D Sn / 3n 7n 21 4.

A: y=2sin3θ-1Use the form  a sin ( b x − c ) + d  to find the variables used to find the amplitude,…

Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: d the area of the surface generated by revolving the curve x =cos (2t), y = 7+ sin ( 2° - xis. .....…

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Q: 1. Where does the graph of y = x“ + 4x – 1 have horizontal tangent? %3D - 2. Use the chain ule…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: 9. Find the length of the curve: r = 1+ cos(20),0 < 0 s 2n

A: given equation of curve r=1+cos(2θ)   , 0≤θ≤2π as per our guideline, we are supposed to answer the…

Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t = 2n. %3D 2. Find the length…

A: As we know that, The expression for the length of vector-valued curve is: L=∫abx't2+y't2dt   1).…

Q: If y3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: given, y3+y=2cos xwe have to findd2ydx2 at point (0,1)

Q: A particle moves in the xy-plane so that its position at any time t is given by x= cos(5t) and y =…

A: According to the questionx=cos5ty=t3

Q: 7) Determine an eq ,in (x) and (y) , and then find a) y sec 1t , x csc-1t b) y = (sin 0)* ,x = (cos…

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Q: 4. Find d²y/dx² for the following functions: a) y = sin x? cos 2x

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Q: Find the length of the curve over the given interval. =8 r = 7(1+ cos 0), 0 <0< 2n

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Q: f(t) = e3t + cos 6t – e3t cos 6t ; L{f(t)} =? %3D -

A: given ft=e3t+cos6t-e3tcos6t

Q: V 3 (d) r(1/6 + At) - r(n/6) = 3 COS At sin At cos At + SV3 sin At it

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Q: 8 cos (2r² + 2y²) dy dr Hint You could take a cab to the pole.

A: Given the integral is ∫02∫04-x28cos2x2+2y2dydx

Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

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Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: Given the implicitly defined function 6. cos (2*y) – y* - cos(2r) – y? dy and dr dr find at the…

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Q: 22. Find the value of arcsine ( 2x + y ) given that TT sin-( 4x + 3y ) = 2 cos ( x + y ) = . TT and…

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Q: Q1:- Solve the following DEs:- ху?-cos x sin x 1) y' У(1-x?) 2) (-4y + e-3*)dx = 4 dy -Зх dy 3) +…

A: We have to solve the given differential equation Here I am giving answer of 1st question if you want…

Q: Q2) a) Find an® sec²y dy b) Is cos4xv2-stn4x dx = (2- sin4x) +Ctrue or false? show me

A: Use fundamental theorem of calculus for part (a)  For part (b) use substitution method

Q: t/2 SL cosx/1+ cos²xdxdy is equal to 0, siny

A: Consider the iterated integral, ∫ab∫f1xf2xfx,ydydx In this iterated integral, the integration is…

Q: 4 T/2 a, = f(x)cos(n@,rkdr = "jxcos dx %3D sin 4 cos 2 2

A: Okay I am explaining the marked step.

Q: 2 Without using technology, sketch the graphs of the following for 0°<x < 360 a y = sin æ + 1 90 180…

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Q: Q1\ Prove the left side equal to right side in the following : * L-1 (s² + a²y² - [sin at + at cos…

A: We need to show that:L-1s2s2+a22=12asinat+at cos atWe will use convolution theorem to show the…

Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A: Solution is given below