ди du 1. find 7 and " if z = 5 tan-(x)and x = e" + In(v) at the point (In2,1) az av

Q: tan e de (1+ In cos ele

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Q: Siven cos x E and π x<. 5 ", find tan(2x) %3D

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Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

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Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: 4 sin' t cos tdt 4 sin"(t) cos (t) %3D

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Q: 25. Find x, y, e R from 2coshy - 7sinhx = 3 and coshy – 3 sinh? = 2 %3D %3D

A: Find x and y.

Q: -똥, V5 with s in quadrant Il and let sin(t) 4 8) Let cos(s) = -, with t in quadrant III. Determine…

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Q: on of period 2 pi in t. (x+sin r)(x

A: The differential equation is given as, dxdt=x+sin2tx-esint Let x=ft be the solution of the…

Q: snip

A: True or false: y=tan-1x, means x=tan y, where -∞&lt;x&lt;∞ and -π2&lt;y&lt;π2That means we need to…

Q: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

Q: (a) Show that the equation cos rdr + (1+ -(+)- sin rdy = 0 is not exact.

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Q: sin(nz) b) E: on (0, 2x] n-1 AcoAnA

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Q: ди ди 1. find az and " if z = 5 tan-1(x)and x eu + In(v) at the point (In2,1) %3D dv

A: Using chain rule.

Q: Pre cal How do I evaluate?

A: Given expression

Q: 4. Evalaute cos(x) sin(x) dx

A: Given:

Q: S sin° (3t) cos(3t)dt Evaluate COS

A: To determine the value of the integral.

Q: Evaluate. d [arctan a – In ¤] dæ 1 1+#? 1 sec2 x sec² ¤ 1-x²

A: As we know that: The sum rule: f±g'=f'±g' The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1…

Q: 9 If f(0) = cos 0 · cos 02 cos 03 ....... cos 0n %3D f'() + tan 0,}=- f (8)] Show, {tan 0, + tan 02…

A: Introduction :

Q: (1) If y = sin(tan-x), prove that %3D (1+ x²)?y" + 2x(1 + x²)y' +y = 0.

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: what is y' of y=sin-1(cos x)

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Q: dz and du dz Find when u = In 2, v = 1, if z = 10 tan'x, and x= e" + In v. -

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

Q: dy iven that x = e" cos 3t, y=e" sin3t, show that tan 3t + dx %3D 4

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Q: du nd az and " if z = 5 tan-'(x)and x = e" + In(v) at tl-

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Q: If x = sin2 (u) and y = cos² (u), then dy is : dx а. 1 b. cot(x) C. tan(x) d. 1-

A: Differenriate

Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: (d) lim In(cos r) エ→0

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Q: 4 cos ' (sin (ax t)

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Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: What is the general solution of sin z sin ydx + cos rcosydy 0? %3D

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Q: Establish each identity given in attachment.

A: To establish the identity: lntanθ=lnsinθ-lncosθ Solution: We know that, tanθ=sinθcosθ Property of…

Q: 3. If v = sin- (4) + tan-' (±), find the value of r + y. 4. If z= ear+by. f(ax – by), prove that b…

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Q: b. Express tanh x in terms of e* and e-* and hence show that 2 tanh x tanh 2x = 1+ tanh? x' c. Given…

A: (b) To proof :   tanh2x=2tanhx1+tanh2x It is known that, sinhx=ex-e-x2coshx=ex+e-x2 so,…

Q: 4) Find when y? – x² + cos(x + y) = 0

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Q: ad boda noY BAJUM 7. Find dy/de. dimil nom y = sin [cos(tan 0)]

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Q: The solution of the DE (1+ tan x)y'=-secx coty is O None of these siny + In cosx| = c %3D sinx +…

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Q: 3Tt of cSC X du If u = f(x), then dx cos X . Compute %3D 2 sin x и -

A: Given ,  u = f(x)

Q: Determine the concavity of y = 3 + sin x on [0, 2π]

A: The function y=3+sinx on the interval 0,2π. We have to determine the concavity of this function.

Q: 7a6(cos +i Si ) IF USE DE MOIURES TheoREM To Find Z. 23

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Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

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Q: 2Tt Prove that a" sinax cos bx dx = 0 0.

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Q: :(3:+a- (メ+) tanx tHany 1-tanx tany to

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: If y=(1+x²) tan-x - x then y' is equal to

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Q: tan y = In 2 + e"

A: Given : tany = ln2x2+e-xy

Q: : s ech[In cosx]tanx dx Evaluate: A None - 2 tan-1(cosx) + C 2 tan -1(e cosx) + C CoSx (D - 2 tan…

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Q: a) y=In(*). x tane 4 cos x y = 3x + sinx b)

A: Given: The functions are, a) y = ln ( x tan ex )

Q: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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Q: 4) Sin W = %3D Cos N = W. Tan W = %3D

A: Solution: The objective is to find the required values

Q: 04.) Show that y = (sin x +cos x) sec x = sec² x

A: Given inequality does not equal. See the attachment