Example 12. Write z = 6(cos 150° + i sin 150°) in rectangular form.

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x + y Subject to: 2x +…

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Q: dx Evaluate the improper integral J x(Inln x )

A: We have to find value of given definite integral

Q: 17) а) Let ô, and Ō2 be unbiased estimators for the parameter 0. Is the following estimator Ōz an…

A: sol

Q: ly manufactur nk for the exp- greed that she

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Q: Solve the problems below: 1. Find the positive real root of f(x) = x* - 8x²-35x? + 450 x - 1001…

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Q: A living room is 7.2 m long and 4.5 m wide. What size would it be on a plan drawn to a scale of…

A: This is a problem of counting.

Q: A room 30 m by 22m is to be illuminated by 34 W fluorescent tube mounted 3m above the working plane…

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Q: 15. E-Commerce For online store sales, the payment processing service Square charges 2.9% of the…

A: A system of m×n numbers arranged in the form of a rectangular array having m rows and n columns is…

Q: Use the cylindrical shell method to find the volume of the solid generated by revolving the shaded…

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Q: Find a root of f(x) = 6 Sin (x)e- x + 1 using Newton Raphson Method accurate to 5 decimal places.

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Q: then2 Evaluate khe falowingcartesian integralo by changing them inte equivalent Pelar integrals: 3-…

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Q: Please correct the solution, there is an error in the solution Example: Fined all eigen values and…

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Q: Use series to approximate the value of the integral with an error of magnitude less than 10-5. 0.5…

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Q: Give example open set is compact

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Q: 5. Find all the zeroes of the function f(x) = - 0.5x + 2.5 x+ 4.5 using False Position Method…

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Q: own $18 x (x-+ 3).

A: Given the integral ∫18xx+3dx We will evaluate the integral.

Q: :)dx + (3x +1 ussing through th g the differential

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Q: If the sum of eigenvalues of matrix 9. 7 16 A -9 k2 3 is 29, then the possible - 16 9 values of k…

A: We want to find the value of k

Q: 1. Determine a positive root of f(r) = x+2x² + 10r- 20, %3D sing the Newton's method and an initial…

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Q: (x + y)dx – xdy = 0 With the initial condition that y=1 and when x =1. A.) Approximate the value of…

A: This is a problem of Numerical Analysis.

Q: cos t f(t)f" (t) If f(t) = then = f"(t) -1. 1+ sin t

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Q: Suppose that the function/ is defined on the intérval as follows. r-2 if-25x<-1 -1 if-1Sx<0 0 if…

A: Given function is f(x) = -2if-2≤x&lt;-1-1if-1≤x&lt;00if0≤x&lt;11if1≤x&lt;2

Q: di t. + 4 i - 5 Si dt = 2 u (t– 2) dt

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Q: (х-3) (х+1) f(x) = %| (х-2)(х+2)(х+1)

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Q: Az + 2xy²)dx + (cos y + 2x²y)dy = 0

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: Find L-1{F(s)} for each given F(8). F(s) s² – 4s + 13 S- 4 F(s) %3D (s – 2)²(s+3)

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Q: Based on the rooted tree below, answer the following questions. a T b d f g hi k

A: In a tree data structure,nodes which belongs to same parent are called as siblings. An ancesteor of…

Q: Let X = R – (0,0) and - be defined over X by setting x-y - y = tx for some non-zero ! E R. (a)…

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Q: Find the Laplace transform of f (t) = 6e-t +e + 5t -9

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Q: For Item # 8- 10: The function f (t) = t + 4t- 5 shows the number of pieces produced by a…

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Q: What is the Euler characteristic of a Klein Bottle or what does x(Klein Bottle)

A: This is a problem of Differential Geometry.

Q: (x-2)2 – In x = 0, [1,2]

A: Sol

Q: The computer solution is shown in Figure 3.17. a. What is the optimal solution, and what is the…

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Q: b) Euler's method is used to solve a first-order differential equation dy dx from x = 0 to x = 4

A: We need to write Euler's method to solve the differential equation: dydx=f(y,x), from x=0 to x=4.

Q: Answer the following muitiple-chaice question below algubra #7. u,V, and ware vec tors in IK'.If Tlu…

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Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t e R. Given…

A: Sol

Q: Compute the line integral -xdy + ydx 2(x-y)2 + 4xy where L is the circle (1-x)2 + y? 3 with a…

A: We will find parametric equation of L and then convert whole equation in parametric form

Q: 6. f(t) = 5cosh(3t)-sinh(4t) %3D

A: 1) L{af(t)±bg(t)}=aL{f(t)±bL{g(t)}2) L{cosh(at)}=ss2-a23)L{sinh(at)}=as2-a2

Q: 1. Let f: Z6 – Z6 be such that f() = x2 + 3. (a) Is f a well defined function? (b) Is f one-to-one?…

A: As per the policy we are solving first 3 sub parts of the given questions. Given :  f : ℤ6→ℤ6…

Q: QUESTION 3 Use the eighteen rules of inference to derive the conclusion of the following symbolized…

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Q: Use substitution to find the Taylor series at x= 0 of the function 18 sin (-x). ... What is the…

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Q: 0. X1 + X2 - X3 = -3 6x1 + 2x2 + 2x3 = 2 — Зх1 + 4x2 + Хз 3D 1

A: 1st we will convert the equation in matrix form and then by using Gauss jordan method will convert…

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4) 3

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Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A: Given that,A flat surface is submerged vertically in water as shown.Weight density=W=9810 N/m3Length…

Q: Mike and Bob are looking at a business concept to engage in rather than find summer jobs. Their…

A: Solution:   1) Fixed costs are 1) Pickup = $300 per week 2) Business insurance preminum = $100 per…

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z 12

A: The solid is bounded by the triangle and the planes x=0,y=0, z=0

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = rh. %3D (a) Find a…

A: The instantaneous rate of change of the function y=f(x) with respect to x is lima→0f(x+a)−f(x)a,…

Q: 3. Find the Taylor series expansions of 10x5+5x³ – x³ centered at a = 4

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Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (6, -9)

A: Line integration