14. Find a) esin 2xdxb) J vanyt dx, using the substitution x= 2 tane. 15, Find a) fxe"-dx b) dx using the substitution of x- cost 1-x

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Q: Sketch and evaluate the reverse in tegral 9/x dy dz

A: Consider the provided integral,

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A: Solve particular integral in above differential equations.

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A: Here we the chain rule to get the answer .

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Q: A- Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4). B- Prove…

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A: Given that, T0x=1 and T1x=x. It is known that, x2=12T0+T2 and x3=143T1+T3. Obtain the value of T2x.…

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Q: cos(x) dx

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Q: DIfferentiate the following fuh ction with respect to K In X %3D Sin a

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Q: (c) Integrate sin"uelog (cosu) . Where n is 482

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Q: Select the definitions of sinhx, tanh a, and sech z. O e +e- e -e-z O e-e e +e-z O e -e e +e- O e +e…

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Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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Q: Classify the Stries as nbsolurehy linvergen ti Condibinally lonvergent, divergent 18 K Sin

A: First we  recall some definition-1)  p-test for convergence of series ∑k=1∞1(ak±b)p :     A series…

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Q: 5 Locate the bijurcotion values jor the one-param eter jamily dy- ytly+a and draw 1. values jor the…

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Q: 1. Use Trigonometric substitution to evaluate f dx. Hint: Ju? – a² let u a sece.

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Q: 1. Use Green's Theorem to evaluate [(3ye* -7 sin (3x*))dx + (5x* +2x*y* +8e*-y* )dy, where C is the…

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Q: D. If z = In(x – y) + tan(x + y), show that Z = Z y XX

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Q: Evaluate: |2 esin dx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

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Q: Compare the Trapezoidal rule and Simpson's rule app 4 x sin x dx

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Q: Verify the rule by differentiating ∫ du/(a2 + u2) = (1/a) arctan (u/a) + C . Let a &gt; 0.

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Q: 6. If x= sect and y=tant, evaluate at t =- of the following: dy (a) dx d'y (b) dx?

A: x = sect y = tant

Q: \ Compute dx using the (a) Trapezoidal rule

A: 6.(a)  Given function is ∫-11e-x2dx Trapezoidal rule ∫abfxdx≈∆x2fx0+2fx1+2fx2+2fx3+........+fxn…

Q: Consider that sin(x) = e, where %3D 0<x< T, then dy tan (x) dx False O TrueO

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