The orthogonal trajectories of y = 6ax is , where a is an arbitrary constant y? + 22 = 2c + x? = 2c y? + = 4c 2 y? + x² = 6

Q: The equation of a surface is given as (x.y) = e"(x² -xy + y*). (i) Calculate all first and second or...

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Q: 5. Determine whether the given pair of graphs is isomorphic. u2 v2 V3 V4

A: The number of vertices in graph 1= 8 The number of vertices in graph 2 = 8  The number of vertices i...

Q: cosx sec? x+ cos x cs² csc² x csc? x secx cos? x cos x cos x , then § F(x)dx_, 24. If f(x)

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Q: II. Solve for the indicated variable. =(÷+(b - ), for t b. S d2.

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Q: Detremine the Inverse Laplace of the ff: F(s) = 2s - 1 s2 + 4s + 8 show complete solution

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Q: Nr- (p AN q) -pAN q

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Q: Fifty (50) kilometers of road were allotted to three contractors according to the ratio 1/2 : 1/3 : ...

A: Here the 50km is divided into three contractors in the ratio of 1/2:1/3:1/4 ie., (1/2)x + (1/3)x + (...

Q: For each series in questions (2)-(4), determine whether it converges absolutely, converges con- diti...

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Q: (1) Let x, y E R be positive real numbers. Then: a) 3n EN3 x< ny. (b) 3neN 9 0< < y. (c) 3n ENDN-1sy...

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Q: 7. Solve the recurrence relation A, = 4 A2 - 3.A1 subject to the initial conditions A, = 5 and A, = ...

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Q: y y 2.0 1.5 -1.0 - 20 -10 40 20 0.5

A: The given equation is y=x2x2+147 to find the x intercept put y=0 y=x2x2+1470=x2x2+147x2=0x=0 therefo...

Q: Prove that the difference between the square of any odd integer and the integer itself is always an ...

A: We have to prove that the difference between the square of any odd integer and the integer itself is...

Q: Sketch the given function, which is assumed to be zero outside the given interval. Find its Laplace ...

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Q: 17. If A = -3l, then what is I + 2A + 3A² + 4A³ + 5A* + ... ¤?

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Q: PLEASE don't use excel for this. Show the solution with formula needed. COMPOUND INTEREST 1. What ra...

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Q: 1. Find the Fourier Sine Series for f(x) = sinx (0 < x < n ) %3D

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Q: One of the following is a general solution of the homogeneous differential equation y" – 7y + 10y = ...

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Q: |1 1 1 1 1 1 If A =|1 1 11. then A 2018 = A?

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Q: { t, Ost<2 f(t) = 0, t22 Write using the unit step function then find L {f(t)}.

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Q: 20. Let z = (xo +x1)/2, h = (x, – xo)/2. To analyze the approximation (4.19), con- sider the error %...

A: Given Let z = x0+x12, h =x1-x02 to analyze the approximation consider the error E =fx0, x1-f'x0+x12=...

Q: an+1 Assume that | an | converges top = ÷. What can you say about the convergence of the given serie...

A: I have used ratio test to conclude the series is convergent. 

Q: (a) Define orthogonal and idempotent matrices with examples. Prove that the only matrices which comm...

A: Firstly we have to define orthogonal and idempotent matrices. Then we can proceed further.

Q: Find a system of linear equations corresponding to the augmented matrix. 2 0 0 7 -8 0 XI + i X2 = 0 ...

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Q: cosx sec? x + cos x csc csc? x csc? x secx cos? x cos x cos x E f(x)dx _ 2 1. If f(x) 1 , then

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: 4. Let u o, where o is the zero vector. Show that there are exactly two unit vectors that is proport...

A: This is a problem of vector algebra.

Q: 20. Wind Chill The function cruf=0.013 w--W-2 estimates 1e wind tempercture D°F for wind Speedds w f...

A: For the solution follow the next step.

Q: 니[u(1-4) (?6-16 6)] = e-4s 2 8. (s-6)² (s-6)3 6e 4-In 6) 8. (s-In 6)3 (s-In 6) 64e-4s 2 16 (s-In 6)3...

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Q: Touching all edges in a graph without repeating or picking up your pencil and starting and stopping ...

A: Touching all edges in a graph without repeating or picking up your pencil andstarting and stopping a...

Q: Find the Laplace transform of f (t) = t using direct integration. Find the Laplace transform of the ...

A: We have to find the Laplace transformation of the functions (a) ft=t2 and (b) ft=sin2t using direct ...

Q: If A = 40ei120°. B = 20Z140°, C = 5 + 2i, solve for A+ 2B + C in rectangular form.

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Q: Solve the initial value problem y" + 2y" – y – 2y = 10 sin(x) with y(0) = 1, y'(0) = -2, y" (0) = -1...

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Q: 7. Solve the recurrence relation A, = 4 An2 - 3-A-1 subject to the initial conditions A, 5 and A, 10...

A: Given relation is An = 4.An-2 - 3.An-1 With A1 = 5, A2 = 10

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2, ...

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Q: If F(x,y,z)=1i+2j+3k, then O1. P=1 Q=2 and R=3 are vectors of F. O II, P=1 Q=2 and R=3 are gradient ...

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Q: A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. About h...

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Q: H.W 1- Find Po, F, A (Seasonal - hai) for the cash flow shown below: 3 x 10 IQD 700,000 IQD 300,000 ...

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Q: Sketch a graph of the funcloos, 2x,0L×ム a oftended ao a ar - periodio dd functions, graph three full...

A: the given function is fx=2x0&lt;x&lt;π21π2&lt;x&lt;π It is given that the given function is 2π-perio...

Q: Prove the Superposdhon frinciple: ef v, and homogenesuš pecond order linear differetial oguatiori yp...

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Q: Зх — 8 If 3 3 = 0, then x = ? 3 3 Зх — 8 3 Зх — 81 3.

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Q: 19. If A = 40cj120". B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

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Q: What can be said about the lines defined by the equations y = 0.25x + 8 and 3y - 3/4x - 24 = 0 recip...

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Q: Numbers to Use 1 2 3 4 + 24 + 24 > 24 24 24 24 24 24 24 24

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Q: Let a < b be real numbers, and let f be a continuous function defined on I = a, b. Then f is Riemann...

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Q: fourier series solve -x^2+5 [-2,2]

A: The given problem is to find the Fourier series expansion of the given periodic function with period...

Q: 3. A curved surface is described by z =(x² + y³)³/4. a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2...

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Q: 1. For each of the following matrices, identify the third row vector, the second column vector, and ...

A: Let us consider a matrix of order m x n  Row vector is a matrix of order 1 x m Column vector of matr...

Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find it...

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: B. Provide a short proof. 5. Show that cot 0 d0 is equal to In|sin 0| + C.

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Q: b) Solve (D2 – 3D + 2)y = x² + sin x where D = dx

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