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Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

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Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

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Q: With mean theorm, show that | cos x - cos y| < ]x – yl for all of x and y at R www.wwwnn

A: Mean Value theorem

Q: 1. The first approximation of the root of xlogx - 1.2 = 0 in [2,3], by Regula Falsi method (False…

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Q: 2. Write closed Newton-Cotes formula with error for n=1, 2, 3 and then solve integral S* sin(x) dx…

A: The Newton cotes formulas are closed when the endpoint of the closed interval is used as a node. The…

Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D

A: We will solve the following.

Q: use the Mean value Theorem to establish Isine-siny </2-y) Ve,yER

A: We will prove the inequality as following.

Q: Q. Use first principle rule and proue that if y=s %3D secl tand = secx

A: Given: y=secx We know that for any given functiony=fx, first derivative is given by…

Q: the rocket exploded at the peak of the projectile, part I falls at distance less than d to the…

A: In the given question, the concept of Centre of mass is applied. Centre of Mass The centre of mass…

Q: Find the length of the curve. 33 x = 11t°, y =,, 0sts 3 33 t on 0stsv3 is The length of the curve x…

A: Ans: The length of the curve is 77

Q: Find all solutions of 4sin^2xtanx−tanx= 0 that are in the interval [0,2π)

A: Given the equation  4sin2xtanx-tanx=0. We need to find the solution in the interval [0,2π)

Q: Q. Use first principle rule and proue that secn tene if y = secx %3D

A: Note  your Question is wrong because right Question is  y=sec(x) then y' = sec(x)tan(x)

Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

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Q: If Y=tanx prove that %3D2

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Q: 6-prove that the Sum of oots of th equation 2X+3X+5=0is=3 the multiple is I

A: Sum and product of roots of qudratic equation

Q: 5. Verify whether the function f(z) Cauchy-Riemann equations or not. sinh 4x cos 4y + i cosh 4x sin…

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Q: Let C be the shortest path that connects t to ni and I = S. (coshz + 1)dz. Then I=0 1--sinh π+…

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Q: Solve the problem from class: y'=y^(1/3) with y(0) = 0. How many solutions are there? How does that…

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Q: Find the indefinite integral. [ cos 3xar sin33- sin 3r +C 6. O sna(3- sn'ax) sin3 3-sn 3 +C sn3x…

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Q: The simplified form of cos ( - 5z) 5z) + sin 6 52) + sin (; + 52) O v3 cos 5x + v2 sin 5x O v2 cos…

A: This can be evaluated as:

Q: (2x³ + 5x-4) dx

A: Solved below.

Q: Use the addition formulas to provesinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

A: Our Aim is to prove the following identities:-(a) sin h(2x)=2 cosh (x) sinh (x)Proof⇒Since, sinh…

Q: Prove: cosh 3x = 4 cosh° x x-3cosh.x

A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: 2. Show that by using MEAN VALUE THEOREM 4-n < tan-1 v – tan-1 u < 1+v2 if 0< u<v 1+v2 3 <tan 25 -14…

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Q: then what is y at x=1?

A: We can find y at x=1 in the following steps.

Q: Convergence can be achieved faster in Newton-Raphson Method. O True O False compared to the Secant

A: Convergence can be achieved faster in Newton Raphson compared to secant? True or False.

Q: A force of F(x)=x2−cos(3x)+2, x is in meters, acts on an object. What is the work required to move…

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Q: 4. y = √esinx + 2 5. y = 4x In 4x 6. xe = sin 5x - sin 3y

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Q: @H-w/ prove that cosiz=coshz

A: We have to prove by using cosiz and coshz formulae.

Q: v3 V3 sin 30 = , cos 30° = , tan 30° = COS %3D O sin 30° = , cos 30° = . , tan 30° = %3D %3D V3, cos…

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Q: Find the root (3 – 3i)2 - + V18[cos(r/8) + isin(x/8)] O +V18[cos(x/8) – isin(t/8)] +3 V2[cos(1/4) –…

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Q: Solve for what is asked: 1. Use Simpson's rule with n = 6 to estimate f Vx3 + 1dx. 2. Use…

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Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: Q3. Prove that tanhz =: 1-22

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 4 Find the distance between u = -3and z= - 1 8

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Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9…

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: Discuss about hairy ball theorem in comprehensible way.

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Q: 1 .Prove that : sec q + tan q = 2x or, 4x If sec q = x+ 2x

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Q: Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X,…

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Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

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Q: I* cos z lim 1³+2

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Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1&gt;0, so that when n&gt;N1, we have…

Q: tost con Vergen ce and divergence 2 Lnn /-

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Q: None of These cosh(4t) 7. 2. 7. - sinh( 21) sinh(4t) 7. cosh(21) 7. Sて 1/2 1/2 1/2 1/2

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Q: 3Sinx = SınX-1

A: Given equation, 3sinx=sinx-1

Q: Prove sech 2  x =1 - tanh  2x

A: we have to prove: sech 2  x =1 - tanh  2x

Q: by thể differen ntial equation on associated with this sy

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: 6. y 45

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.