Find the general integral of the following first order partial differential equations p+11lq = 7z+cos(y-11x). %3D

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A: We use Cramer's rule to solve the linear system.

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Q: find the orthogonal trajectory of family of parabolas represented by the equation                  ...

A: To find orthogonal trajectories of  y2=4ax.

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Q: 4. S dx 9-x x2-1 dx 5.

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A: The complete solution is in given below

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A: For a complex number, z=x+iy, where x is the real part, y is the imaginary part. The complex number:...

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Q: Prove or disprove the following statements: justify your answers. (a) Let A E Mnxn(C) have real entr...

A: We will prove the given statements or give counterexamples to disprove them.

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Q: e 255 (s+2)2 - 16 = uz(t)e-2-2)cosh(4(t-2)) Select one: O True False

A: Inverse Laplace transferom

Q: Find the antiderivative, G(t), of the function g(t) = (3n²t² – tª)V3n² – t². |

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Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (x – 2)° = 4(y + 2) ...

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Q: Let -2 V2 = iz = w = If possible, express w as a linear combination of the vectors v1, v2 and v3. Ot...

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Q: (i) Find all vectors x E R' such that T(x) = b.

A: (i) T(x) = b     =&gt; 59-115-317-41203xyzw = 6-51     =&gt; 5x + 9y - z + 15w = 6 ......... (1)    ...

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H)+ K. where t...

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Q: Leb P:(2,2)-R bealfinedby feyex Show that atacat miniAum Point matmum Piont

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Q: Find the Laplace transform of f(t) defined by 2cos(120t + 45°). V2 (s – 120) b) s2 + 14400 V2(s + 12...

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Q: f (t) = 4 cos(4t) – 9 sin(4t) + 2 cos(10t) (As* + Bs3 + Cs² + Ds + E) Fs) Fs4 + Gs3 + Hs² + Is + J

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Q: [ [5/2 -3/2] -3 2 8. Use the inverse A- to solve the system 3r + 4y = 3 5.x + 6y = 7.

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Q: 3. Compute a spectral decomposition for the following matrix D E Matax3(R) as it has been done durin...

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Q: Find the area of the parallelogram that has u = i-j+ 2k and v = 3j + 2k as adjacent sides. NOTE: Ent...

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Q: Which one of the following integrals is Lebesgue integrable: sin – + cos dx, dx

A: Given integrals, 1.∫011xsin1x+cos1xdx2.∫-111xdx

Q: A. In the figure below, CE and LA are diameters of ON. Use the figure to answer the following. If mL...

A: Angle 3 is 62 degree

Q: 2. [x – y5 In(2y) x²]dy + ydx = 0

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Q: Show that t (T (n)) = 2 if and only if n = p9-1 for some primes p, q. %3D

A: T(n) is the divisor function which counts the number of divisors of a number. 

Q: 4. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTIONS. x² (y')² = 2y² – xyy' Ох-у- С апd y? -...

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Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

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Q: Consider the augmented matrix 1 1 -1 21 1 2 [1 2 (a² – 5) a. 1 3 Find all values of a such that the ...

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Q: Binomial Distribution: (n = 6, p = .2) Find (Use these data in Prob. 1-3) 1) Pr (r 1) 3) Pr (r < 3)

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Q: . Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)"¯ CONVERGES n=1 converges or ...

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t2 - t*)V5n2 – t2. %3D

A: Let us find the antiderivative of the given function in t  in the next steps using substitution meth...

Q: Which of the following is TRUE for (-1)*+1 ? 00 Lütfen birini seçin: a.Diverges conditionally b.Dive...

A: We have given series ∑n=1∞(-1)n+1n2en This is an Alternating series, We know the alternating series ...

Q: 7. Consider the Taylor polynomial T;(x) for f(x)= VTat a = 4. Use Taylor's inequality to estimate th...

A: This is a problem of Taylor's polynomial and approximation.

Q: Solve for b, y, c, d from the system of equations below: (b)(y) 4 10- = 0.01 – b – c – d (0.01 — Ь —...

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Q: x* + ах + 2bx + 2ab + 2x3 — ах* + 6bx? dx x* + ах3 + 2bxа+ 2abx*

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Q: Find the coefficient a, of the Fourier series representation of the function with period 2n defined ...

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Q: 21 z, Z

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Q: solve this linear equation using cramers rule x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

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Q: x3 + 3bx² +4ax² +x² – 2ax – 2ab + bx dx x* – 2ax² + bx² – 2abx²

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Q: Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case...

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Q: S = 2n x ds revolves @y-axis S = 2n y ds revolves @x-axis + (2) dx if y = f(x) ds = 1 + + ()* dx ds ...

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Q: Find the compliment 1 (A+B')C' = ?|

A: We have to find the complement of A+B'C' De Morgan's Law:  A+B'=A'B'    where ' indicates complement...