1 -x* -x' - 3x + 33x 5 x+ 3x – 2x +' + 2x – 3) -- 3x + 7x + 18 2x° – 25x + 2) + 3x – 2) x² + 4x – 2) +5 (x5 +x*) + 16 – x^(x – 4)

Q: 2 cos(4x) – 4x2 – 2 lim - I→0 sin(2x)- x2 - 2x

A: We have to evaluate the limit limx→0 2 cos(4x) - 4x2 - 2sin(2x) - x2 - 2x

Q: Only part b, part a is solved but i was asked to upload b seperately

A: Given: Mean lifetime of technical part μ=2 Let X be the lifetime of technical parts X~Expλwhere,…

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A:

Q: sin 2x + 2 5я 3 + n, 3 5я + 2 n, + 2 яп 3 3 5я + KN, 6 2 я ○쓸+2.0, + 2 n 6 3

A:

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

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A: We know, cos(a)-cos(b)= -2sin(a+b)/2*sin(a-b)/2....(i)

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A:

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

A:

Q: Wt-1+2 dt

A: We will find the integral as following.

Q: ーズ ず+2+4= 8x°+ 12€ (10 +2y+4y = 10 Sin 3X 42デ+44- gSia2x

A: As per the guidelines I have to solve only first question. So for more solutions please repost the…

Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: [10 sin(2x) cos(2x) √ cos²(2x)-5 dx O a. 5 (cos² (2x)-5) ³/5 + C 3 5 O b. -(cos² (2x)-5)³/2 + C OC.…

A: To evaluate the given integral.

Q: - / sin 8x cos 5x dx = 1/6 cos3x + 1/26 cos13x + C ) -1/6 cos3x + 1/26 cos13x + C ) -1/6 cos3x -…

A:

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Q: Verify the identity.

A: Given: arctanx=12arctan2x1-x2. The interval given is -1&lt;x&lt;1. From the given interval, let…

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A:

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Q: esin 2x [In (cos 2a)]? 2esin 2( cos 2x In (cos 2x) + 2 tan 2] 2esin 2a (cos 2x ln (cos 2x) + 2 tan…

A:

Q: 12. etan 2x sec² 2x dx 13. Jdx/(x²-4) 14. (2x¹-x²) dx / (2x² + 1) 15. f (sec²x) dx/(√(1-4 tan² x))…

A: Given

Q: Find the intergral of 2xsin(x²+1) dx Please make it step by step

A:

Q: 2) x²-9 = y -7 4 -3 -24 -1 -9-8-7 -6 2 3456 8 9 -1 -2 -3 у-int. -4 -5 x-int./s -6- -7 -1 -9 vertex

A: The given equation of the curve is x2 - 9 = y

Q: 2 сos(6x) — 6 2? — 2 os(6x) – 6 x² sin(5x) – x2 – 5x - | lim x → 0 - -

A: We have to calculate the given limit: limx→02cos6x-6x2-2sin5x-x2-5x

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: 1-2x²=1+x+x²³ 2²-2²-1+2+ -2(-1) (2n + 1)! x²+1 sin x- ---- cos x=(-1). - (2n)! −2+4- 6! tan 'x-…

A:

Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: 3. On (-∞, ∞), three functions y₁ (x) = cos 2x, y₂(x) = sin² x, y³(x) = cos² x are linearly…

A: Note: As per the guidelines we are supposed to only one answer because this is not a subparts…

Q: 6xsec 3x 2-If y = (tan3x)" prove that = (tan3x)²"| + 2ln(tan3x) %3D %3! tan3x

A:

Q: 1) f(x) = x5-x¹ + x² - x +² 2) f(x) = sin³x - e³x² + ln(1 + 5x²) 3) f(x)=√1-x² sin-¹ x 4) f(x)=√√x +…

A:

Q: Find an interval of length 1/4in [1, 2] containing a root of the equation x^7 + 3x − 10 = 0.

A:

Q: 2 Find the general Solution of yty = 2xcosx -CosX %3D

A:

Q: of x3 - x - 3 = 0 using If the starting gues ue of the root after %3D

A:

Q: 2.1.1 x(3x + 2) = 0 2.1.2 2x +8x = 3 (correct to TWO decima %3D 2.1.3 (1+ xX1– x)2 0

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Explain theorem of Wronskians of Solutions?

A: To Find : Define the Theorem of Wronskians of solution

Q: 2. y= 4sin(2x- T) and y= cos(3x-) 2

A: According to question given that y=4sin2x-πy=cos3x-π2

Q: 1. Lim 2×ー2xーメ+1 x-x3- 2x + 2 3. Lim メ→。 |- Cos X X-1 Sin 2x 2. Lim csc ax Csc 2x 4. Lim 7X 2x+5 x-…

A:

Q: Solve 3x^2-Siny=0, xy^2-x^3+7=0, initial point (-1,2) .

A:

Q: azu 4- = (1 – x)cos(t), 0 0, %3D - | at2 Əx2

A: In this boundary value problem we use the separation variable  we assume the form,…

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A: first one is wrong.because secx=1/cosx.and sinx=1/cosec x.

Q: 1. f(x) = cos 2x - Show the solution of the derivative using F'el trigonometric identity that it…

A:

Q: 6x² + 5x + 16 S x3 + 3x² + 2x + 6 5 Injx+31+ In (x² + 2)√2 tan ¹() + C Option 1 5 Injx +31+ In (x² +…

A:

Q: 2x² + x + 3 x³ + x dx In[x] + In (x² + 1) + tan^³(x) + C Option 1 3 In]x] +In (x² + 1) + tan¹(x) + C…

A:

Q: 1 1 - X Evaluate (2y-2)dydx

A: Answer

Q: 3 8. y = sec Зx) 9sec (2 – 3x)tan´(2 – 3x) B. - 9sec (2 - 3x) tan tan (2 3 С. 9 sec' (2 — 3х) tan…

A:

Q: 5-7 -1 Using quotient rule, show-that d [cotx] dx 2. 1+x

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Q: 1. y = Arctan 3-V9-x2 2. y = 4 Arccos + 2v4 - x2 2 y = In (*+2), (x-1)2 3. у%3DIn

A:

Q: 2x +5x-3 1. lim 6x -7x + 2 4x-6x+3 lim 16x +8x-7 4. x'+8 7. lim 2x-16 1 -1) h-0 hV1+h 10. lim ) sin…

A: 1) Here, the direct substitution  of the limit value will lead the denominator of the function to be…

Q: vertex = %3D t X-int

A: topic- functions

Q: find all solution of z   sinh(2z)=-1

A: Consider the provided equation, sinh2z=-1 Find all solution of z. Apply the trigonometric…