6. Which of the following is the homogeneous differential equation? A. (3x-5)dx-(4y-1)dy B. xydx-(x+y)dy-0 C. y²dx + (x²-xy-y²)dy-0 D. (x²+y)dx= (y² + x)dy

Q: • !!! 622 dV where G is bounded by x + 2y + 4z = 8 in the first octant. 3. Evaluate

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Q: Calculate the centroid of the thin plate R which bounded by z = 1, y = 0 and, ² + y² = 4.

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Q: 4. Determine which of the following functions has a vertical asymptote at x = a and a point of…

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Q: ing Equivalence Laws, show that - a) ¬(¬p ∧ q) ∧ (p ∨ q) is logically equivalent to p. b) ¬(p ∨ ¬( p…

A: Given, a ¬¬p∧q∧p∨q is to be shown logically equivalent to p.b¬p∨¬p∧q is to be shown logically…

Q: Calculate the Cauchy principal value. COS V.P. Lx (acos #dz, (a > 0). -dx, (a²-x²)

A: We use sum of residues to find Cauchy principal value.

Q: 3. Evaluate III. 622 dV where G is bounded by r + 2y + 4z = 8 in the first octant.

A: We need to evaluate ∫∫∫G6z2dV  here G is bounded by x+2y+4z=8

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Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: We can solve this using given information

Q: Prove that for the gamma function [(x) = ftx-¹e-tdt that for n a positive integer then I(n) = (n-1)!

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Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: 1) network analysis 2) maxmin=minmax 3) Lf 4) Vogels approximation method 5) tp

Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, 2² + y² = 4.

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Q: Choose the correct answer ) The PERT method to solve? ) Game theory b) transportation model ) To…

A: In this question, the concept of PERT is applied. PERT The Program Evaluation and Review Technique…

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Q: 02) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: 1) network analysis 2) maxmin= minmax 3) Lf 4) Vogels approximation method 5) tp

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

A: Using the definition of left and right hand limit we find then sketch the graph as in next step.

Q: Sketch the graph of the function. [√x if xs-1 X if -1 2 y -4 O -4 -2 -2 41 2 2 -4 -2 2 -4 -2 2 x (

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Q: How about if we find the solution sets by excel but in Gauss Elimination?

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Q: [ to y²-Xy flo dy 2

A: 1st we will use substitution and then integration by parts   ∫u.v dx=u∫v dx -∫dudx∫v dxdx

Q: al .avil of aanwemo bit of zhasn The binomial (13 - 5y)nlog2128 is expanded and fully simplified. If…

A: Using the properties of the logarithmic functions, it can be written that: log ab=blog alogaa=1…

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A: Given, Q = 90 L/s or 0.09 m3/s D = 0.30 m

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A: We have to find zeros of given expression .

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A: This question related to ring theory.

Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(5) Sc a) fc…

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Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: Solve the initial value problem ut +2ux = -tu(x, t), t > 0, x R u(x, 0) = sin x.

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Q: y the formulation is called balanced

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Q: d) Use Newton Raphson method to estimate the root of cos x-xe* = 0, initial guess is

A: To find- Use Newton Raphson method to estimate the root of cosx - xex = 0, initial guess is x0 = 1.

Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, 2² + 3²

A: We have to find the centroid of the thin plate.

Q: Q1: Let M = R² be the set of all ordered pairs of real numbers and d: M x MR be a function defined…

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Q: 3. Evaluate 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A: We need to Evaluate triple integration ∫∫∫G6z2dV here we know…

Q: 83. Find the regions where sinx ≤ x. ( ६

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Q: : R^3-->R^3,T(x, y, z) = ( x + y, y + z, x - z)  (a)the basis of  the range(T) (b)determine if T…

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Q: c. x²y″ − 3xy' +4y=0, _y(1)=5, y′(1)=3. - - d. x²y" — 5xy' + 8y =8x6, y(½)=0, y′(½¹⁄) = 0.

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