Find the length of the enclosed loop x = t², y = (f/3) – t shown here. The loop starts at t = -V3 and ends at t = V3. t >0/ t = 0 t = ±V3 2 -1 t <0 4+

Q: use Euler's Method to approximate the given value of y(t) with the time step h indicated. y(0.5); dy…

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Q: Use Euler's method with h = 0.25 to compute approximate value of y(1) for the IVP: (a) dy 1 = y sin…

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Q: Compute the length of the curve over the given interval. r(t) =〈2t, ln t,t^2〉, 1 ≤ t ≤ 4

A: it is known that the length of the curve can be calcualted by the integral formula…

Q: Q2/ by using chain Rule to find dw at t = 1 if dt w = 2ye* – Inz ,x = In(t? + 1), y = tan 1t,z = et

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Q: Solve the Pollowing dellay diffenential on the in te vval [os 2J by the mpth-d of steps. (a) dx =…

A: I have gotten a unsolved integration in that problem so i write as it is

Q: An object is moving along a path defined by the graph  x^2+y^2=18 Compute  dy/dy, if dx/dt=-2,…

A: According to the question:

Q: 1 use the formula L = dt to find the length of the curve dt dt 1 X = y = t° for 0st s1

A: according to the guideline, we are allowed to answer the only the first question  please repost…

Q: Find the length of the curve y = Vcos 2t dt from x = 0 to x = T/4.

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Q: - Sva cos 2t dt from x= 0 to x= Find the length of the curve y =

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Q: After using z = X - y as substitution, the DE (x-y)^2 * dy/dx = a^2 (a is constant) transforms to…

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Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

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Q: dz Find- at t = n, if x=21sin' 12t + 170, z=19cos12t +190t . %D dx

A: The value of sin (npi) = 0 We will put t=pi in dz/dx

Q: Find the differential dy of the given function. (Use "dx" for d> y = 8x² – 4 dy = %3D

A: Formula :

Q: Suppose that a particle following the given path c(t) flies off on a tangent at t = to. Compute the…

A: Consider the path of the particle           c(t) = (2t2, t3-4t, 0) The velocity of vector is…

Q: E valauate the JJ x +2xy +ydy dx when step size of x-0.2 and step size of use the Trapazaidal Rale…

A: given I=∫01∫02x2+2xy+y2dydx with  h=0.2 let x0=0.2 , y0=0.5 let fx,y=x2+2xy+y2 substituting the…

Q: H.W3:- Estimate y(0.2) ,using Euler method with step size h=0.1 where y':= -y°cosx „y(0)=1

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Q: hello! can you help me with this calculus problem?

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Q: iid 1. Given X1,.., Xn * f(x;0), where f(x; 0) = (0 + 1)aº, 0< x <1 %3D (a) Compute E(X). (b) Find a…

A: We want to find the  (1) E(X)  (2) MME

Q: a particle moves along a curve x = t^3+1, y=t^2, z=2t+5 , where t represents the time . its velocity…

A: Velocity is obtained by differentiating the position function

Q: use Euler’s Method to approximate the given value of y(t) with the time step h indicated. y(0.5);…

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Q: dy 3 4-1+2у, dt (0) = 1

A: Given dydt=4-t+2y   ; y(0)=1  with h=0.1

Q: Without eliminating the parameter, find d²y at t = 2 1 x = 1

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Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

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Q: Use fourth-order Runge-Kutta Method to solve the following problem over the interval from x = 0 to…

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Q: Q3) Compute for y(x) = cos'(4vT)+ 5x and x(t) = 4 at t=1

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Q: Find an interval where the IVP dy (In t) + y = cot t dt y(2) = 3 has a unique solution.

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Q: Q4) Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: B) Find the distance traveled by the particle P (x.y) between t = 0 and t 4 if the position at time…

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Q: Q) Compute for y(x) sec (2x) + 2x -1 and x(t) = 4cos(t) at t-1

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Q: Find u(x, t) for the string of length L = 1 and c² = 16 when the initial velocity is zero and the…

A: In this question, we solve the wave equation…

Q: Let z(x, y) 2x2 – 3y? where a 2s – 4t & y = 9s + 8t. he at dy dx az Calculate ds dz by first finding…

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Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx+ x?dy by the curve y = x and y = x2.

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Q: Use the method of Example 4 to compute dy/dx p at P = (2, 1) on the curve y^2x^3 + y3^x^4 −…

A: we can solve by this implicit differentiation, so,

Q: Find a positive value of k for which y=sin⁡(kt) satisfies d2y/dt2+16y=0.   k=

A: Double derivative

Q: (b) Use a graphing utility to find dx/dt, dy/dt, and dy/dx at the parameter t 6. dt TO -/-

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Q: Evaluate dt dW at t=0 for the function W = e' – In x , x = t², y= In t

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Q: Find dy/dt if y is as follows. t2 + 4 y = In 7 - t dy dt II

A: We use logarithmic properties to simplify the given function and use chain rule to solve this…

Q: Find the differential dy of the function y Provide your answer below: dy= dx = 5x4 + 4 4x + 3

A: y=5x4+44x+3Differentiate w.r.t xdydx=4x+320x3-5x4+444x+32

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3Vx + X. dy = | %3!

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Q: E. Find the orthogonal trajectories to the curve y = ax²- acx (s held fixed. %3D where a

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Q: dx(t) If the PSD of X(t) is Sry(0). Find the PSD of - dt

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Q: Find an equation of the tangent llne to the về at the given poln 6x y = (x + 1)2' (0, 0)

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Q: Show that a particle, located at the origin at t = 1 and moving along the x-axis with velocity v(t)…

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Q: use Euler’s Method to approximate the given value of y(t) with the time step h indicated. y(2);…

A: Here we solve the given function by using the Eular’s method:

Q: An object moves in one dimension with avelocity in m/s given by v(t) = 8 sin ∏t + 2t. Find its…

A: Given: The velocity of an object in m/s is given by  v(t)=8sinπt+2t Time interval is t=0 to t=10

Q: Q2) Use the chain Rule to find dw\dt of y w = =+2,x = cos²(t), y = sin² (t), z =, at t = 3

A: In this question,w is function of x,y,z and x,y,z are the function of t so first we find out…

Q: what is (x fyx+ fy) given fCKiy)= ey

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Q: Q1: Use Green's theorem to evalute S. (xy + y2)dx + x²dy by the curve y y = x2.

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Q: Q2) Solve the following problem over the interval from x = 0 to 1 using a step size of 0.25 where…

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