The table below shows the result of a 5 point musical aptitude test given to a group of first grade students. Score 0 1 3 5 Frequency 12 10 27 49 b) Find the median aptitude score. 5 6 a) Find the average aptitude score. Report your answer to 4 decimal places.

Q: a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the…

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Q: Calculate the first six iterates in the following iteration with xo = 1. Xn+1 0.3+ sin(x) -

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Q: Determine the partial fraction expansion for the rational function below (S-1) (²-1)

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Q: . As soon as a new value of a variable is found by ite in the following equations, this method is…

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Q: Consider the improper intervals I, = S- -1 Ol₁ is divergent but l2 is convergent Both 1₁ and 1₂ are…

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Q: Add the following Mayan numerals together. Then convert your answer to Hindu-Arabic. Show all work…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min 2 How…

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Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: 2. Use ratio test to determine whether the following series is convergent or divergent: (2n)! Σ n.…

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Q: 7. Let V be a 70-dimensional vector space and let W₁ and W2 be 30-dimensional subspaces. What is the…

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Q: QUESTION 10 If Ax=b is an inconsistent linear system, then ATAx=A¹b is also inconsistent. O True O…

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Q: k=1 √k + 1 -, is √k4 +1 Diverge by limit comparison test Converge Geometric series Converge by limit…

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Q: The value of A™ or h in Simpson's Rule is b-a O (b-a) n b-a

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Q: solve the following - limx-4 b- limx-o (sin (sin x) c- limx→z sở tr 10x +2x5.

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Q: Solve the following differential equations 3x y"-6y' +9y=e³x cos √√x+1

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Q: 4) Use Stokes theorem to evaluate SF.dr, where с F(x, y, z) = <.xy, yz, *x), where C is the triangle…

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Q: A field is a O Vector space O Commutative division ring O Division ring O Integral domain

A: Here we use all the conditions of field and then the properties of other given options.

Q: Q3./ Solve the following ODE, simultaneous y₁ = −3 y₁+ Y₂ y2 - 2 = Yı - 3 y2

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Q: Using Ralston's Method, calculate y for the following: y – xy² = 0, y (0) – 1, h = 0.1 The solution…

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Q: If A is a symmetric matrix, then A¹ = O JAI O diagonal matrix none of the above

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Q: Q3.B. Find a general solution of the following y" - 4y' + 4y = 3sin(2t) differential equation using…

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Q: QUESTION 2 A study was made on the amount of converted sugar in a certain process at various…

A: Since you have asked multiple question, we will solve any one question for you. If you want any…

Q: Find the Fourier Series expansion of the function f(t) = t & f(t) = -2m(-1)" b. O a Ob O c Od c.…

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Q: Find solution of the equation x2 = 17 by the Newton's method.

A: We find the solution of x2=17 by Newton's method.

Q: Solve for за + ад ду-4 = 2- 24 Z 2 2 а 20-2

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Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý = cos 2t + sin 3t, 0…

A: K1= 0.25

Q: x³-2x-3-0 1.4 rations)

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Q: find solutions accurate to within 10-5 for the following problems. 2+ sin x - x = 0 use [2,3]

A: To obtain the solution of the transcendental equation fx=0, use the Newton-Raphson method formula.…

Q: Matrix which does not have an inverse by solving it, is classified as O unidentified matrix O linear…

A: A matrix A does not have inverse if det(A)=0. And if det(A)=0 then we say that the matrix A is…

Q: Let h(x) = f(g(x)). If ƒ(2) = −2,ƒ' (2) = -5, g(-6)= 2, and g'(-6) = 5, find h'(-6). Do not include…

A: It is known that: ddxf(gx)=f'(g(x))g'x.

Q: of salt in the tank at time t, which of the following opt change of the mass of salt in the tank?…

A: Tank holds 1000 L of water in which 15 kg of salt dissolved. Pure water is entering at a rate of…

Q: When using Adams-Bashforth method to solve the initial-value problem: ý= 1 + considered to be equal…

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Q: The Nueva Ecija Feeds Inc. Produces specially blended feed supplements. It has an order of no more…

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Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Sol

Q: Solve the following system using Gauss Jordan method? x + 3y + z = 10 x-2y-z = -6 2x + y + 2z = 10

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Q: Question 8 Given f(x)=x and g(x)=-+2, determine: a) (fog)(2) b) (gog)(-1) c) (gof)(x) =

A: The solution is given as

Q: Question 2. Solve the linear system by finding matrix inverse = 12 x₁ + 4x₂ + 3x3 -1- 2x₂ 2x1 + 2x2…

A: Sol Here x1 = x , x2 = y and x3 = z have been considered while solving the problem Here…

Q: What is the chromatic index of each graph? P13 2 C12 C7 K5,11 K15 ← FI S

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Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

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Q: Owen was constructing a uniquely shaped bird feeder for his Mom for Mother's Day. The bird feeder…

A: The bird feeder has a cylindrical-shaped bottom and a hemispherical-shaped dome. The volume of a…

Q: Reverse the order of integration 3 Lütfen birini seçin: a. 1 √3 √316 b. 1 So C. e d. 2 e. √3x 2² v²…

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Q: a. Find Taylor Expansion of the following Functions about xo =0 b. Find Taylor Expansion of the…

A: Sol:- Taylor expansion about x0 = 0 Taylor series of function fx at a is defined…

Q: in problems 1 and 12, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: For the following initial-value problem: ý=y+t²,1 ≤ t ≤ 3, y(1) = 2, h = 0.25, the method cannot be…

A: Sol

Q: 3. The Laplace transform of the f(t) = t²e-2 cos(3t) is 2(s+2)(s²+45-23) (s²+45+13)³ 2(s+2)(s²+23)…

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Q: The number of non-negative integer solutions to the equation x + y 15 1540 O 816 O 969 680 z + w =…

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Q: 2(a) Explain centroid of a triangle and rectangle with sketch.

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Q: (b) Solve +4y=3u(t-5) sin(t-5) y(0) = 1, y'(0)=0 d²y dt² Oscillator with suddenly appearing…

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Q: Q2./ Slug mass equal (1/4) is hungged on to a spring, whereupon the spring is stretched 1/2 ft from…

A: From the given data, m=14 slugl=12 fty0=0 fty'0=-4 ft/sec The subsequent motion of mass is…

Q: Determine the intervals on which f(x) is positive and on which f(x) is negative. swer:…

A: If the graph of f(x) lies above the x axis for the values of a&lt;x&lt;b, then, f(x)&gt;0 for…