22 d'y dx² dy 7x- +16y=0 dx

Q: 2) Let f be continuous on [a, b], f' (c) exists c = (a, b) such that- f(c) differentiable on (a, b)…

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Q: 6. Evaluate the line integral ² dr+z²y dy where C' is the rectangle with vertices (0,0), (5,0),…

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Q: Determine the critical (equilibrium) points. dt First enter the smallest value, last enter the…

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Q: Consider the following two player bi-matrix game 19 19 6 7 12 A = 2 14 16 6 B = (1₂ 0 -10 21 -8 -5 1…

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Q: Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4 4

A: F(s) = L-148-60ss4 F(s) = L-148s4-60ss4 F(s) = L-148s4 - L-160ss4

Q: Q5/ Solve for x the following inequality and show their solution set (x: x2-x-300)

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Q: • show that (x, y, z) = PDE : 2² + 8²4 дуг дуг + 2 x² + y² + z² = 0 824 dz² satisfies the

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Q: find the Fourier series of half rang periodic function. f(x) = x|x| -π <x<π

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Q: If 0#x#1 in a field R, then x is an idempotent. to

A: We have to find whether x is an idempotent element or not, where x is neither 0 not 1.

Q: Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y =…

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Q: By direct partial integration, Solve the following PDES 8- дги ахбу ECOBX COSY SXUCX,t) = x u(x₂)…

A: Solution :

Q: Let R be a field of real number. Then Z8 is a subfield of R. To fo

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Q: F L (a) Given A = use the Cayley-Hamilton theorem to find (1) A¹-3A6 + A¹+ 3A³ - 2A² +31 (ii) A*,…

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Q: From the equation of x² + y² + z² = 25 and inside the equation x² + y² = 9 Calculate the volume of…

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Q: Solve the differential equation (D² +1) y = x² cos 5x

A: Solution :-

Q: js(x) dx = (b-a) [ƒ(a) + f(b) -a) [¹ 2

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

A: Volume enclosed by hyperboloidz=1+x22+y22 under the planez=5⇒1+x22+y22&lt;5⇒1+x22+y22&lt;25⇒…

Q: There is an inaccuracy in the following table of a low degree polynomial p(x). x p(x) 0.0 0.000 0.1…

A: The relationship between the data points can be observed using a difference table. Make Newton's…

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: dV = r dz dr de where R: 0< Draw the solid R. z = √√3x² + 3y² and below the Duom solid

A: Using the volume of cylinder and the solid is given as,

Q: is there any computation when you have a graph of time series?

A: Solution:- A time series graph (often called a time series plot) is a graphical representation of…

Q: A fireplace arch must be constructed in the shape of a semi-ellipse. The opening must be 60 cm high…

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Q: (a) Given A = use the Cayley-Hamilton theorem to find (1) A¹-3A6+ A¹+3A³-2A²+31 (ii) A¹, where k> 0…

A: (a) Given A=2011 To use the Cayley-Hamilton theorem to find (i). A7-3A6+A4+3A3-2A2+3I (ii) Ak, where…

Q: Given a function f: A→ R and a real number e that is a limit point of A. We say that ilm-f(x) = L…

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Q: Question: Verify Green's theorem in the plane for (x³ − x²y)dx + xy²dy, where C is the - C boundary…

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Q: On what formula?

A: To determine: The formula required for any computation when a graph of a time series is given.

Q: A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given…

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Q: 5. Consider the permutations f 1 2 3 4 2 1 3 4 on the set {1, 2, 3, 4). (a) Find fog and go f. (b) F…

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Q: eigenvalues and eigenvectors a) Solve the following differential equations: x₁ = y1+3y2 y₂ = 4y1+5y2…

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Q: - 13 A = 6-4 -3 2 and b = b₁ b2

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Q: if f:[0,2] 3 R such that if x>0 f(x) = { ²2 if x<0 show that whether f is continuous in [0,2]

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Q: Find the wronskian of f1=x4, f2=-x4, f3=x2, f4=-x2

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Q: 3 By direct partial integration, Solve the following PDES & 82u axdy = cos x cosy, u(x,#) = x…

A: Solution :

Q: Q5/Solve for x the following inequality and show their solution set (x: x2-x-30-01

A: We have to solve for x. Given inequality is  x:x2-x-30⩽0. Now we can solve for x .

Q: Determine the general solution of y" + y = tanx using variation of parameters

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Q: Number of man-hours and the corresponding productivity (in units) are furnished below. Fit a simple…

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Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: 8 3. Then 4 Let f be the sum of the power series √1+5n n=0 (A) ƒ"(0) = √11 (B) ƒ(7)(0) = 0 (C) the…

A: Given that  f be the sum of the power series  ∑n=0∞11+5nx3n. The correct option is (B).  f(7)(0)=0

Q: Sv 4. 3-4x² dx

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Q: Suppose that f: A → R is continuous at a number a E A with f(a) > 0. Show that there exist numbers L…

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Q: Q.9 Let (x) be a solution to the equation [exy'] + xy=0, x=(-∞0,00) dx Given that (-¹)=0,…

A: We can solve using given information

Q: 2. Find the Wronskian of: a. -2x³ + 12 2x³ + 12 b. C. 0 d. Undefined f₁=x4 f₂ = -x4 f3 = x² f4 = -x²

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Q: k ΣΣ8.5 = k=4 j=4 = = n k 2j ΣΣΣn= k=4 j=7 h=6 = || = first step 2nd step 3rd step 4th step final…

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Q: Hand written plz ery n e Z. epimorphism and f(n) = g(n) for all ne Z, then f= g.

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Q: Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

A: Given information is solid bounded by  z = 1-2y2 -3x2  and xy-plane.

Q: 55² +25-4 (5+₁) (S+₂) (S+ 3) Taking Laplace transform

A: First do partial fraction then find inverse Laplace transform by using standard formulas as in next…

Q: 5. Use Cartesian coordinates to evaluate Jff ² av D where D is the tetrahedron in the first octant…

A: 2x+3y+z=6 z= 6-2x-3y When z = 0 6-2x= 3y y= (6-2x)/3

Q: Write legibly and neatly thanks  List down the steps in finding the root of an equation using…

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Q: Q3/If f(x)=x²+1 and g(x)=√x, find the composite function and its domain: (a) f.g (b) gof

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Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

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