Find the set of orthogonal trajectories for r = VA sin (2e)

Q: line with a constant acceleration of -8 ms 2. A De in the direction that the particle is initially…

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Q: Find the Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: Calculate the derivative 24 dt using Part 2 of the Fundamental Theorem of Calculus. a va a sin (a)

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Q: Exercise (c) Show that y = Vx has a vertical tangent line at (0, 0). ...

A: first we will find derivative of function. So, derivative will be slope of tangent. for vertical…

Q: Which order of differentiation will calculate fxy faster: x first or y first?  a. ƒ(x, y) = x sin y…

A: The given function is,

Q: Evaluate using integration by parts: fx sec-¹x dx

A: SOLUTION-

Q: Find the general solution. Orthogonal Trajectories

A: To Find :  General solution of Orthogonal trajectory of following

Q: Compute the derivative: 3 | Vsin t dt dx

A: To find ddx∫x3sin t dt We know that, ddx∫u(x)v(x)f(t) dt = f(v(x))v'(x)-f(u(x))u'(x) Then, we have,…

Q: Use Euler's Method with an appropriate h value of your choosing to estimate y(4) with y = 0.5, y (1)…

A: Topic- Differential Equation

Q: The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use…

A: Let the length and width of a rectangle are L and W respectively. Now, The length and width of a…

Q: te dt.

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Q: The dimensions of a closed rectangular box are measured as 93 cm, 66 cm, and 50 cm, respectively,…

A: Given,           The dimensions of a closed rectangular box are measured as 93 cm, 66 cm…

Q: Find the maximum or local minimum f(x)=sinx.[0,4]

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Q: A curve y = f(x) have length of the curve from x = 0 to x = 1/2. dy Vcos(2x – 2) as its first…

A: We have to find

Q: By exchanging the order of the integration, the evaluation of siny dydx y klea

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Q: Find the point where the CAUCHY- RIEMANN equation is satisied for the function f(2) =xy+Xyi

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Q: Find the derivative of In(3t3— 2t + 1) and then calculate  ∫ (9t2-2/3t3-2t+1) + 3 dt (use…

A: Given         ln(3t3-2t+1)

Q: Calculate the derivative 10z d dz In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: .8 Estimate the error if cos t is approximated by 1 2 in the 4! integral cost? -- + - dt.

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Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

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Q: Find the Integration of: f(3sin t + esin ty cost dt In 3

A: we have to integrate the following

Q: Change the hence order of integlation and evaluate Siny dydx

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Q: What is the isogonal trajectories family of curves x² - y² = a which intersects at an angle of ∅ =…

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Q: Let u = x3 + 1. Indicate how the limits of integration should be adjusted in order to perform the…

A: Given

Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: Calculate the derivative d dz (2t5 34 dt using Part 2 of the Fundamental Theorem of Calculus.

A: The solution are next step

Q: When is integrating using the tabular method useful?

A: When is integrating using the tabular method useful?

Q: (a) The centripetal acceleration of a particular wheel in a locomotive with respect to the angle…

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Q: Explain how to simplify x³ + Vx x3/2 the integrand of integrating. dx before

A: The given integration is ∫x3+xx32dx Solution: To solve the given integration first, separate the…

Q: Find the area of a triangle bounded by lines y=2x and x=1 by double integration

A: Given region, y=2x        ...(1)x = 1        ...(2) Substitute the value of x = 1 in (1), y = 2 So…

Q: Evaluate In (ax) dx using integration by parts

A: Follow the procedure given below and use simple intergation by parts.

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

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Q: A beam of length L is embedded at its left end and simply supported at its right end. Find the…

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Q: Does the differential dy represent the change in f or the change inthe linear approximation to f ?…

A: Given the differential is dy.

Q: The value that will satisfy potential function p is

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Q: Find the total differential. z = ex tan(y)

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Q: Find the limits of integration in cylindrical

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Q: 2. Find the critical points of f(x, y) = x³ + 2y³ – xy and analyze them using the Second Derivative…

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Q: Derive the error term of composite trapezoidal rule for integrating S f(x)dx.

A: ok, let us say that we are dividing this region in n regions,

Q: A bounded, 3B > 0 such that |f(x)| < B Vx € (0, 1), continuous function on (0, 1) with unded…

A: We will find an example

Q: Evalute Sofy ex* dxdy by first reversing the order ex² 3y integration.

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Q: 7. f sec5 2 t dt

A: We can solve the integration as below

Q: Define Orthogonal Trajectories ?

A: Definition of Orthogonal trajectories:        Given a family of curves , an orthogonal…

Q: Find the maximum rate of change of f(r,y) = sin(x + y) at the point (1,-1) and the direction at…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = 2 sin3…

A: We can use fundamental theorem of calculus in order to solve the given problem.

Q: ⌠13(e0.5x+sin2x)dx, use n=4

A: We will answer the first question as you didn't mention any. Please resubmit the other question…

Q: Consider the function g defined by 1 g(x, y) = cos (Ta VT)+ log3(x - y) Do as indicated. In what…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.