e"(cosh(2t)-cosh(5t))dt = ? -St

Q: Find an interval of definition for the equation x^2 dx/dt = 3x^3 t^2

A: Domain of definition is where X(t) is defined

Q: Prove the formula.

A: Given a function Arc Sine Hyperbolic (t). We need to find the derivative of the function. Let's…

Q: 31+2 dy - of the function y= dt 7. Find +4 dy of the function y = 5 tan (6x)+ log, (36x² + dx 8.…

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Q: 2(y+1) dy t 2) 2(у + 1)4 dx x+1

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Q: dx/dt of -ln(-cos t)-e^(sin t)

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Q: dN + N = Ntet+2 dt

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Q: e*dx cln 1 Calculate Jin 0.5 V1-ezx" (b)

A: We will solve this integral via substitution:

Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given a(t)=cos t Integrating with respect to t to get velocity function, vt=∫atdtvt=∫cos t…

Q: 3. Water is being poured into a 10 liter leaky container so that the volume of the water, V,…

A: A differential equation is an equation that contains functions and their derivatives.  A…

Q: 5. x- + Px = sin t %3D dt

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Q: What is the value of f (5) if f (t) sin (Ta) dt :? 1

A: Given, ∫1xfttdt = sinπxx   We have to find the value of f5

Q: The degree and order of the differential (出) 1 8 dy equation 1+ is 3 dy dx dx

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Q: یک 2. G(x) = L tanz et et +3 -dt

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Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per…

A: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per…

Q: find dy/dx

A:

Q: linear a approx Imation differential's to estimate Ja6.96

A: let ,

Q: Find the differential dy of the given function. sec² x dy Read It Need Help?

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Q: S sin Vat dt

A: Let the given integral be: I=∫sinat dt

Q: how do I implicitly differentiate, (solve for ds/dt) where: sqrt(t+s) = 2s

A: firstly, we square the both sides.

Q: A particle moves along the x-axis with velocity dx/dt = ƒ(x). Show that the particle’s acceleration…

A:

Q: 2 In sec Vi + tag V + C sec sec z dz %D

A: 35. given integral,∫sec x . dxx = 2∫sec x12 . 12x-12dxlet x12 = u⇒ 12x12-1 dx = du⇒12x-12dx = du

Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: 5. – 3t te dt

A: The given integral is: I=∫t e-3t dt

Q: 6. A soccer ball is kicked at an angle of 60 from the ground. If the velocity of the ball is 110…

A: Consider the given angle as 60°

Q: Ex. 2. Prove thät if two equal and perfectly elastic balls moving in the same direction collide…

A:

Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given acceleration, a(t)=cost,       t>0 And v(0)=0, x(0)=3

Q: hat is the number equal to L sin (3rt) dt?

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Q: L{e-4t cosh 2t} L{e=t (3 sinh 2t – 5 cosh 2t)} -

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Q: V9.22

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Q: find the total differential dz. xety

A: dz=∂z∂xdx+∂z∂ydy ---->1Consider z=xex+ythen∂z∂x=ex+y+xex+y∂z∂y=xex+y

Q: tan st e dt 2

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

Q: rycotx b) Find If cos (2y) – S cost dt = 4 – x? - dx

A:

Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your…

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the…

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: 1. Use Fermat's principle to find the path followed by a light ray if the index of refraction is…

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Q: .3 1+ at dt

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Q: Find the root of x² - 1000 = 0 using Newton's law of approximation

A: We have to approximate the root of x7-1000=0 now we have f(x)=x7-1000,  f'(x)=7x6 Newton's law of…

Q: dt What is the linearization of h(x)= 6+ at x=1? cos (1 -1)

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Q: calculate the derivative.

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Q: sinx2 dy Find dt

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Q: 1. Calculate / Vt In(2t) dt

A: Note :- As you mention for help in question no. 1 so i am solving only this one.

Q: sin³€ dt to ylomeldon 3.

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Q: 5. Find dt ,y = cos(sin(t – 4))

A: Given function is: y=cossint-4 Derivation of the above function with respect to t. dydt=ddtcossint-4

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Q: 3 S S t² etu du dt

A:

Q: Why does Newton’s Method fail when f′(xn) = 0? What does this mean graphically?

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Q: Find dt y = 31(21? – 5) $ dy dt

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Q: If you have the equation dx/dt = a,are you allowed to multiply both sides by dt to change the…

A: We have given,