Q5. Approximate the integral Sin(2x)dx (i) Using composite Sympson's rule with n = 2,4 and

Q: 2. (s-s?- t)ds + (t + s² +t?)dt = 0 %3D

A: Use variable seperable to do this and then integrate this both sides 

Q: 3. (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: Maximize profit 5X + 6Y subject to 2X + Y 0 a. What is the optimal solution to this problem? Solve ...

A: Given that,Maximize profit 5x+6ysubject that 2x+y≤120                  2x+3y≤240                    ...

Q: Water sits in a hemispherical bowl of radius 7 cm. The depth of the water is 2 cm (i.e., from the su...

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Q: When interest is compounded continuously, the amount of money increases at a rate proportional to th...

A: Solution

Q: Determine the Integrating Factors of the following differential equations a.) (x2 + y2 + 1)dx- (xy ...

A: We determine the Integrating Factor of the given differential equation   (x2 + y2 + 1)dx- (xy +y)dy ...

Q: 1. L" [1/(s - a?)] = (1/a) sinh at 9. L' [1/s - a) + b] = (1/b) e sin bt 10. L' [(s - a)/(s - a)? + ...

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Q: 1. Create set E following each step: a. What's your Emplid? Sort the digits of your Emplid. Let set ...

A: We solve first Que only as per company guidelines. For others kindly post again by mentioning

Q: 2. If X is a finite set and fn → f on X, show that fn = f on X. 3. If fn 3 f on X and Y is a nonempt...

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Q: Evaluate the double integral. | 7z (64 + y*) dA; R is the region in the first quadrant enclosed by y...

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Q: (s-s? – t²)ds + (t + s? +t ?)dt = 0 %3D

A: sds + t dt  + ( s2 + t2)  ( dt - ds)  = 0 Multiplying by   I . F . = 1s2+ t212 (s2 + t2)  ( 2sds + 2...

Q: Consider the curve, y with parameter (, and function f in 3 dimensional Euclidean space with coordin...

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Q: Use the formula to compute In(1.11) correct to five decimal places. In(1 - x) = - n= 1 In(1.11) =

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Q: In each of the following equations, identify the free and dummy indices, and state how many equation...

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Q: Consider the vector field F(x, y, z) = (x, Y, 9z). Evaluate the surface integral I = ls F. dS where ...

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Q: Siven X(z) = 2 + 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

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Q: 1. Let the universal set U be the set of integers from -12 to 12. Let A be the set of multiples of 2...

A: Given the universal set U =  the set of integers from -12 to 12 = {-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,...

Q: Under what conditions is yb+6c perpendicular to a? What does this say about the coefficients of b an...

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Q: 3. Explain why if u and v are perpendicular, u x v = uv.

A: We have to show that u×v=uv. When u and v are perpendicular to each other.

Q: 1. The angles between the axes in two coordinate systems are given in the table below 135° 60° 120° ...

A: Transformation matrix is given by T=cos135°cos60°cos120°cos90°cos45°cos45°cos45°cos60°cos120° simpli...

Q: (0, 1), if y satisfies Example 31-23. Determine values of y at the pivotal points of the interu the ...

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Q: ng of a drug in a person's system t hours after the drug is administered, when does the drug reach p...

A: Note: A stationary point of a function f(x) is a point where the derivative of f(x) is equal to 0.  ...

Q: 4. Show how to find a vector ẽ = c – Ab that's perpendicular to b and is a linear combination of b a...

A: This is a problem of vector calculus.

Q: y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triang...

A: Solution:-

Q: Find a zero for the following function using the a hybrid metod. Start with Bisection for 3 iteratio...

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Q: 5. Use Venn diagrams to verify DeMorgan's laws. 6. Represent the following sets with a Venn diagram ...

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Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p = 40 − ...

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Q: Find the matrix M of the linear transformation T : R? - R? given by (:)-| -8x1 + (-6) x2 T. -7x1 - X...

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Q: (7) Given the following pieces information, describe the set of solutions x such that Ax = b: (a) b ...

A: We shall solve first question only as you have asked more than one unrelated questions • for others ...

Q: (xy + x²)dy + ydx = 0

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Q: 5. Conclude from this that if b x c = 0 then b is a scalar multiple of c or vice versa (b and e are ...

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Q: For each of the integrals below, decide (without calculation) whether the integrals are positive, ne...

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Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by th...

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Q: Let х 0<x<2, f (x) = [4-x 2<x<4 a) Consider the odd periodic extension of period T=8, of f(x). Sketc...

A: Given function is fx=x0&lt;x≤24-x2&lt;x&lt;4 (a). Given that f is an odd periodic function of period...

Q: Show that (C(X),|| · ||∞,x) is a metric space.

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Q: Use the Maclaurin series for sin(x) to compute 3 sin(3°) correct to five decimal places. 3 sin(3°) =...

A: Solution

Q: Write 234,572 in Mayan notation

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Q: Maggieplantedrosebushesinhergarden.Sheplanted6rowsofbushes,with 10bushesineachrow.Ifittookher2minute...

A: Maggie planted 6 rows of bushes with 10 bushes in each row.Time taken to plant each bush is 2 minute...

Q: Use the formula to compute In(1.11) correct to five decimal places. In(1 – x) = - x" n = 1 In(1.11) ...

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Q: 1. Find all simultaneous solutions of the congruences: (a) X= 3 mod 5 x= 4 mod 6

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Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters ...

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Q: 3. (w - 3x +3)dw + ( Зw +х + 9)dx%3D0 3x2 +- 8(y + 1) = 0 8(у + 1) %3D 0 y+1

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Q: Let S2 = {a = (a1,a2,a3) E R3 | aja2 + 2a3 = 0} If y = (y1.y2.y3) E Sz and z = (z1,Z2,z3) E S2, is y...

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Q: Let S2 = {a = (a1,a2,a3) E R3 | a1a2 + 2a3 = 0} If y = (y1.y2.y3) E S2 and z = (z1,Z2,z3) E S2, is y...

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Q: Q11 Determine all the critical points for the following- S(x) = sin'x- cosx On the interval (0, 2n).

A: Given , f (x) = sin2x - cos x  (.) Definition :  Then critical point of a                           ...

Q: Let a E R[x] with ao # 0. Prove that a has a multiplicative inverse in R[x]: You may assume that the...

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Q: Solve the given initial-value problem. (x + y)? dx + (2xy + x2 – 8) dy = 0, y(1) = 1

A: Solution:-

Q: 6. How far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured f...

A: the centroid of the area bounded by the curves

Q: „3 Determine the volume of the solid created by rotating the region bounded by y = x°, y= 125, the x...

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Q: 6. yi + y = 1, when x = 0, y = 4 %3D dx

A: