use fortran H.w 1: Transiate the following expression to Fortran expression: 1- B- Va? + 10 2- z-In(cz + xy) 3- y=Sin (x+nk) H.w 2: Use Fortran to calculate (6)(7*) +-145 45 73-145 48.2(55)-93 2- 53+142 3. 2724 319%s +60 (14)-3 4

Q: 2π 6 11. 3r2 sin e drd0 0 0

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Q: Ex 3.5.1 Let a = 3 .5-7. 13 and b = 2 -* .5.7.11 - 13*. Show that a|b by finding an z such that b =…

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Q: Which is the correct mathematical expression of the signal in the figure? 0.4 -0.4 10 20 30 40 50 60…

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Q: Choose the most appropriate answer: Evaluate the integral : (e- 18z + sin 11æ) dæ -18z cos11 +C 18…

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Q: S =m sin(3x)cos(5x)sin(7x) dx: (sin(5x)sin(9x) +sin(x)- 15 sin(15x) +C (लड 4 Select one: True False

A: Let's find.

Q: 3. Iim Sin 5x (-) (+) fcx) fcx) - 0-2 o. 84147 0.2 0.24147 -0.02 0.99833 0.02 0.99833 -D.002 0.…

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Q: * The solution of the ODE.11 y' = is sin-' (x) + sin-' (y) = c %3D None of these O sin-' (x) sin-'…

A: Method of separation for solving the first-order differential equation: The differential equation of…

Q: 5. Select all that are true. ха хв xaxb = xa+b (xa)b = xab sin² 0 + cos² 0 = 1 √2 2 T √2

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Q: 11 csc (7x) cot(7x) dæ : (Use Substitution Method) 11 11 + C 14 sin? (7x) 14 11 11 + C 14 cot2(7x)…

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Q: 4 A. 1 B. 2 C. 3 D. 4 If the correct answer in (2) is equal to -, how many case/s is/are possible? 5…

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Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: Evaluate: /4 * 2 sin-1 (플)-zv4-H + C A | f (x) = (В f (x) = 4 sin- (5) + xV4 – a² + C © f (2) = 2…

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Q: Evaluate by Trigonometric Substitution: * Vx² – 9 6. dx x2 Vx2 – 9 +C (6– 2*^ + x) u Va-9, b. In (x+…

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Q: x sin 7xdx is a. xcos 7x sin 7x 7. 49 b. xcos 7x sin 7x +. 7. 49 xcos 7x sin 7x +C 7 C. d. xcos 7x…

A: Integral problem

Q: Q1: Determine -8 sec 7x (-4 cos? 7x + 6 tan 7x) dx. 32 sin 7x – 7 48 sec 7x + C 7 A -- В -224 sin 7x…

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Q: ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O…

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Q: Using an appropriate substitution, f sin³ (x)cos®(x)dx is equal to: sinx + C sin13x + C 13 sin11x…

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Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: 12. dt 12V7 - 12 A) B) - 7t C). 7-2 712 D) - + sin-17t + C 7t A B C

A: As per guideline we have to solve one question

Q: Use a linear approximation to estimate sin 29° Answer: The approximate value of sin 29º is V3 ( 29T…

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Q: Jx у36 — х? dx .5 - 12x + C 5 5 (V36–x²)* )' - -X – 12(V36 – x² + C 5 7776 sin³ (x) – 2592 sin³ (x)…

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Q: 3 of u(a,9) = Cof"( 4y Cof' (+y then provethat ace +4u + Sin2ce=0

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Q: S 4x* sin2x dx A (2xª + 6x² + 3) cos 2x + (4x³ + 6x) sin 2x + C C (2xª – 6x² • 3) cos 2x + (4x³ –…

A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

Q: O cos Z 12 15

A: Right angle triangle

Q: number 39 (sin x-1)(2sinx-1)=0 what is the turn around time on getting answers?

A: Using the zero product property make each factor = 0From sinx=1 we got x=pi/2 + 2k*piIf x is in…

Q: 7. Let z1 = 3-j; z2 = -2 +j8, find cosh {sin [In (1 + z1′ + z2")(√ − z1″ + z2')}" 8. Refer your…

A: 7.Hint: Here the values of z1 and z2 are given. Differentiate the values as required and calculate…

Q: Evaluate / 7 cos 4ædx. 7 O a. 7 sin 4æ – sin 4x + C O b. None of the choices. Oc. 7 -sin 4x 4 7 sin…

A: Consider the given integral, I=∫7cos34xdx take the constant outside the integral, I=7∫cos34xdx now…

Q: 2nn Which signal is the same as xn = 3 sin %3D 3 -ei2™n/30 2i 30 3 -ei2an/30 2i 1 -i2an/30 (b) 3…

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Q: .a TC .bO 2π .cO || 2.

A: I will use the definition of gamma function.

Q: A) u-substitution with u = 7x³ +5 B) u-substitution with u = 3x² u-substitution with u = 3x² dx…

A: Integration

Q: 4. * S sec? (4t) (3 – tan(4t)) dt 1 (3 – tan (4t))* + C (3 – tan (4t))* + C 16 - - B. 1 (3 – tan…

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Q: Use a linear approximation to estimate sin 29° Answer: The approximate value of sin 29° is V3 O sin…

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Q: = -21n|1-√√x-2√√x+C - dx = Statement 1: 1 Statement 2: S √ √ 171- -√x (A) Both statements are true.…

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Q: A. x + 2 4. x² + 4x + In (x + 2 + Væ² + 4x) + C 2 2 x + 2 4 x + 4 -1 x' + 4x sin -) + C 2 - 2 2 С.…

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Q: The square root of (1 2i) is (1) V5 (cos (+ 2n)+ i sin (5 + 2n")) for n = 0,1 COS (2) V5 (cos (+ 2)…

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: -2) Calculate A-1 by 2 Let A = 1 2 1 -1 -1 A-' = ÷(-A² + 3A +I). and verify your result by showing…

A: Given: A=12-2121-1-10 Therefore,…

Q: 6. ans. -2cos(1/2)x + C 2 Scos3xdx 7. ans. (1/3)sin3x + C . Stan2vdk 8. ans. (1/2)In(sinx?) + C

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

Q: F Sin(ncso)- Cscrsin o) , thes the valke of 10+4).

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Q: x4 Evaluate 4- xp: Select one: 1 O 6 sin -x (x²+6) /4-x² +c 4 1 n-1승+ (x+6x)v4-x2 +c 2 O -(12…

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Q: 2/2 00 (-1)" (2n + 1)³' COs nx 1°) Show that dr = Justify your reasoning. n=1

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Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) – 2xcos(2x) + sin(2x) A + C 4 2x?sin(2x) +2xcos(2x) – sin(2x) В +…

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Q: 12r+ 30 -dx- x²+2x-8 Let In M = %3D What is the value of M? O (x+4)3 +C (x-2)9 O (x-4)²(x+2)° O…

A: Given lnM=∫12x+30x2+2x-8dx

Q: 2- Exercise: Evaluate a) L{4x? – 3 cos(2x) +5e*} b) L{4+sin (x) – e**}

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Q: Evaluate sin*(2x)dx. sin (2x)dx. sin 4x, sin 8x + C 64 3x 8 8. sin 8x + C 64 O X sin 4x 4 8 8 O 3x +…

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Q: Solve the ODE (t+1)=ty

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Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди 2х Əx ди

A: The equation is ux, y=x2coshxy2+1.

Q: (a) Find all the solutions of cosh z = 4 (Hint: cosh z =

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Q: +1+C ,c.÷+ Q1: Choose the correct answer of the following 1. [ sin x dx is a. cos x+ C, b. -cos x +…

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Q: 0 1 0 0 -4 4 8. 2. D = -1 -1 -3 0. 0. 0. Z = 0 0 0 . 0 0 0 0 . 26. BA 30. AZ 27. CD 31. AI 25. AB…

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Q: Evaluate (5x2+3) cos x dx O (5x2 + 1) sin x + 10x coSx – 10 sin x+C O (5x2 + 1) sin x – 10x coSx –…

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