Which of the following is(are) true? (Choose all applicable answers.) O cosh z = e +e* 2. O coth a e +e %3D e -e O sinh x e +e z %3D O secha er O tanh x = ete = ez-e I Ocschx

Q: Solve the following Exact DE using Method of Grouping. 2) (y sec?x + sec x tan x)dx + (tan x + 2y)dy…

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Q: TE %3D Evaluate 2 V cosx dx by using Simpson's 1/3, taking n = 4, correct to four decimal places 0.…

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Q: Given (1) Find dy. by applying implicit dx di fferentiation, in (1) (1) explicitly and Solve eg tor…

A: We use the definition of implicit differentiation of a function to solve the given question.

Q: Show that coshr + sinh r = e" and cosh r - sinhr = e. Hence, deduce M MOUTMOUT cosh? a – sinh? r 1.…

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Q: The approximation of I = S, cos x? dx using composite Simpson's rule with n 3 is: -1.5412 O This…

A: Formula :     The formula for composite simpson's rule is     ∫abf(x) dx ≈∆x3 [fx0 +4 fx1+2fx2+4…

Q: Solue the Following intial value problem cos?(y)dx + tany dy=0, y(1) = 0

A: Here equation is, xcos2(y)dx+tanydy=0 xcos2(y)dx=-tanydy xdx=(-tany/cos2y) dy

Q: 1- If e +x +y+arctan(z) = 2 then what is the value of dy da at (0,1) ? a) - 2 b)2 c)0 d 1 e) - 1 a)…

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Q: IV. Approximate the following up to 4 decimal places using Maclaurin's series... 1. sin (110) 2.…

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Q: Find the following antiderivatives. Cosh sinh r - 1 cosh r dr (a)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given: y = cosh (es): Find y O (E) None of these cosh (e*²) 2:z sinh(e*) Oeu sinh(ex) O 2ae*…

A: This question is related to differentiation, We will solve it using given information .

Q: Which of the following is correct? 1. cosh?x +sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh (x…

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Q: Which of the following is an antiderivative of – tan a + "? O a In cscr - cot z +C In z O b. an--In…

A: use indefinite integral to evaluate the anti derivative .

Q: A. Solve the following 1" order, non-homogeneous linear ODE: dy cos? x sin x +y (cos x) = 1 dx

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Q: Which of the following areas are equal?Justify your answer.

A: We can represent these areas by integration For first areas A1=∫01exdx For second areas…

Q: Evaluate the following integral. 3n/2 3 sip x TIT siny dz dx dy 0 0 0 3x/2 3 sip x SI! sin y dz dx…

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Q: (x cos + y sin?)y – (vsin? -x cos?)* х — х COS = 0 Ans: xy cos = c (Lucknow, 1997; Kanpur, 1996)

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Q: Which of the following is equivalent to / Isin(Inx?)]²dx , sin(Inx 14) dx A sin2(Inx 14) dx O (sin…

A: Given that, The given integration is following, I=∫[sin(lnx7)]2dxx We have to find the equivalent of…

Q: 3. tan? y dy = sin³x dx when y(0) = 0

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Q: For each of the following, give the most appropriate choice of u for substitution. DO NOT INTEGRATE.…

A: Part a∫ln(x)x dxHere, we will substitute ln(x) =t then 1xdx=dt∴∫ln(x)x dx=∫t dtPart b∫31+2x  dxHere,…

Q: Which of the following is an antiderivative of f (x) = sin x cos x? Cos 2x sin 2x 4 4 O Option 1 O…

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Q: Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose…

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Q: Which of the following areas are equal? Why?

A: 1.

Q: Find g(e) so that when u = g(x) the integral S: 1+lnx sec(g(x)) dx can be rewritten as ſ cos u du .…

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Q: Which of the following is one of the correct steps to evaluate | cos'x dx to obtain the desired…

A: Solution :∫cos7xdx∫cos6xcosxdx∫cos2x3cosxdx∫1-sin2x3cosxdx

Q: Find the largest interval on which the following IVP has a unique solution. (2t + 1)y" + sin t y…

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined point take…

Q: Which of the following is the antiderivative of S 3 tan (x) dx ? a. 3 In In |sec sec x |+ 3x + C c.…

A: Given :  ∫ 3tan(x) dx   NOTE : To find an antiderivative for a function f, we can often reverse the…

Q: Compute the following. S3x?cos(x³)dx

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Q: Which of the following is equivalent to the inteerand of (sin( Inx ' ) -dx? 7cos (In(x7))+…

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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…

A: The hyperbolic function of sine is expressed as-     sinh x=ex-e-x2 Thus, Option (C) is the correct…

Q: Evalhate the following int egrals tan?x dx 3. D S secê 2) S x? CnxJ* dx 3) S x tarila dx 4 S Sin' x…

A: Integration of function expression with respect to variable or gives the area between function…

Q: Perform the following integration. 1. (sinhæ)(coth? a+csch® a) dự sec³ x tan x 2. S dx √2 + sec x 3.…

A: Given: ∫x-1x2+5x+8dx To find evaluate the given integral for the integration if a given function…

Q: Which of the following is not an antiderivative of the function f(0) = sin cose? 1 A. sin26+/2…

A: I am attaching image so that you understand each and every step.

Q: 11.) Find the area inside r -3cos(e) and outside r = 1+ cos(e)

A: As per guidelines we can solve only one question at a time so please repost other question.

Q: Find dx or y' of the following functions and make any a. y = cot(Ve" ) tanh(e") b. Y =…

A: taking ln both side

Q: 1) If dy = tan x, then y =? dx А. !tan?x + C B. sec?x + C C. In [sec x]+ C D. Inſcos x] + C 2) dx =?…

A: We have to choose the correct option.

Q: S-) Find the gereral solufon of Sin'x y"- (2sinx.cos x)g'+ Ccosx+1)y = Sih? x given that y-sihx and…

A: Given differential equation is sin2xy"-2sinxcosxy'+cos2x+1y=sin3x Here, qx=sin3x Given that y1=sinx…

Q: Which of the following is true? @ - , Ssin (x)cos*(x)dx = cos (x) , cos®(x)_ cos'(x) + C 10 + 6. 4 ©…

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Q: 1. Find dy given the following. Do not simplify your answers. da Va cos x etan(=ª) + log;(e – x) (a)…

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Q: Let y = cosh(ina²) then find y'. Oa. sinh (2a.tra) -1 Ob. O b. O c. - sính(Inz²). 2 O d. - sónh(2a.…

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Q: * /Q20 In(cosh x + sinh x) + In(cosh x – sinh x) %3D 1 -1 2 O Leave Question O

A: The problem can be solved using the logarithmic formulae. The rule for the addition of the term is…

Q: Which of the following is correct? 1. cosh?x+sinh?x = 1 . II. sinh x cosh y = sinh (x + y) + sinh (x…

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Q: Prove the following (sinh x + cosh x)^= e%x cosh?x-sinh?x = 1

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Q: Which of the following is correct? 1. cosh²x + sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh…

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Q: Which of the following is(are) true? (Choose all applicable answer O tanh x ete te O coth x = e-e O…

A: Using hyperbolic function formula.

Q: 1 Sa dy secy tany S sin ²x cos²x dx 2. S

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Q: 2 Without using technology, sketch the graphs of the following for 0°<x < 360 a y = sin æ + 1 90 180…

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Q: dy If y-3z sinh p z cosh y is exact, then n

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Q: is equal to A Inr+ B ln s where A = and where B =

A: Given expression :

Q: Solve the following DE: [2х+ усos(ху)] dx + x cos(xy) dy%3Dо O sin(xy) - х2у? -с O cos(xy) – x?y? =c…

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