CALCULATOR COLOR THEME QQ ZOOM 5. The elective courses for next year are gym, shop, art, consumer science, criminal justice, and computer science. Amber needs to choose 3 electives. How many ways can she choose her electives? 84 10 20 120

Q: (а) п! —D О(п") (b) n" + 0(n") (c) log2(n!) = 2(n log2 n)

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Q: Please

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Q: Determine the volume of the solid formed by revolving the area bounded by 9x2 + 36x + 4y2 + 24y + 36...

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Q: Use the table of Laplace transforms to find the inverse Laplace transform of 8 6 F(s) s + 3 g2 + 5? ...

A: Using inverse laplace of F(s) we have to find f(t) 

Q: Consider the system of equations Ax 3y + z = 0, x + ay + 3z = 1, | 3x +y + 5z = 2. The values of 2.,...

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Q: (a) The first 3 terms of an arithmetic progression are ?, 5?, 7? − 4. Find (i) the value of ?,  (i...

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Q: Question 3 Find the Eigen values and the corresponding Eigen Vectors of the following matrix 6 -2 21...

A: If a column vector X is multiplied by a matrix A, the column vector X will transform into another ve...

Q: Prove the following: If 0 < a < b, then lim,∞ (a" + b")" = b. %3D Civen L

A: Solution

Q: What is the value of sinh (In 2 +i)?

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Q: Consider the function defined by f(x) = In(2a + 1). 1. Determine its Maclaurin series expansion. 2. ...

A: The main objective is to find Maclaurin series expansion for f(x), the interval of convergence and w...

Q: A cheetah runs across land at a speed of 75 kilometers per hour. Which representation shows the dist...

A: Given, A cheetah runs accross land at a speed of 75 km/hr . In option A, x axis should represent the...

Q: Using the Bisection method find the root of the polynomial f(æ)= x° – x – 2. use a = 1, b = 2

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Q: Rewrite each equation in fac- tored form and solve using the zero product property. A. x^2 + 18x + 8...

A: Zero product property states that if a.b=0, then either a or b is zero.

Q: A coordinate system showing the real and imaginary axes for the representation of a complex number. ...

A: Solution :-

Q: ii) Evaluate the following integrate Stan-1 xdx

A: we have to integrate ∫tan-1xdx we can write ∫tan-1xdx = ∫1×tan-1xdx Now we will apply integration by...

Q: Let T:R R? be the lincar transformation defined by (a) What is ()- Hint: (3) - (1) - 2({}- (b) about...

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Q: Prove that (P → 9) → (¬p V q) is a contingency.

A: Given,  The Proposition is :- (p→q) ↔(¬p ∨q)  We have to create truth table for given Proposition.

Q: If the given function is constant, which of the Fourier Coefficients is/are zero? O an and by O an o...

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Q: Graph the exponential function. Plot five points on the graph of the function. Then click on the gra...

A: given function  fx=125x claim- graph the exponential function, plot five points on the graph of the ...

Q: b) Find the inverse ztransform of the following: i z's zl2|sin 3 2(2/2/cos 3)z+|2/F] zz(z*+4z+1) 1 (...

A: We will use the basic knowledge of the theory of z-transforms to answer all the three subparts of th...

Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x – l...

A: Brief answer is given below.

Q: Fx dy Assuming - 3x° + 6y + 3xy = 0 defines y as a differentiable function of x, use the theorem dx ...

A: Please find the solution in next step

Q: ,400 in an account growing at a rate allowing the money to double every 6 years. How much money woul...

A: Introduction: The formula for the growth function is given by, A=A0ert Where A0 is the Initial amoun...

Q: A solid has a circular base of radius 20 units. Find the volume of the solid if every cutting plane ...

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Q: Determine which choice best shows 2) A. V V V V V V V V 11 C.

A: Fractions

Q: Given the matrix A, considering the bases β = {(1,0),(0,1)} of R2 and β' = {(1,0,0),(0,1,0),(0,0,1)}...

A: The main objective is to identify correct transformation associated to matrix A with the basis.   We...

Q: . Compute the Legendre symbols. -22 ), (i). (). (i). (5). (iv). (). (i). 19 127 179

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Q: Show that the function given by f(x,y)= x² + 3xy is differentiable at every poin using the definitio...

A: Introduction: Distinctiveness (differentiability) implies continuity. If a function is differentiabl...

Q: Express (2.ry+ 2x - 1) – i (x2 – y? – 2y) as polynomial in the binomial argument z = r+ iy. O -iz? +...

A: Solution

Q: Distance from residential area of Zone (thousa A (miles) Comme Shopping Center Floor Sp r Trinoma 21...

A: The circuit mall makes 95.28 rounds when compared to the best competition.

Q: Determine the missing digit in the following bank code: 5 4 ___ 2 6 1 2 1 2

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Q: Solve using selaration of variables: xy^3 dx + ex^2 dy = 0.

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Q: (b) Given the following logical circuit with three inputs A, B and C: i. Use the boolean algebra not...

A: Given logical circuit with input A, B, C is Solution (1) Boolean expression on the circuit is So o...

Q: (a) the boy con only make UP pnd Right moves anly he de food? the How many parths (b) If he mandemly...

A: We will use basic logic to answer both parts. Note that in the question post, only two parts named (...

Q: ate whether or not the following are propositions. In case of a proposition, indicate if it false. P...

A: Introduction: A proposition is the most fundamental building block of logic. It is defined as a decl...

Q: Consider the following two ordered bases of R: {(0, 1, 1) , (0, 2, 1) ,(-1,1,0)}, {{-2, –1, –1) , (–...

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Q: Suppose A C B, a E A, and a ¢ B – C. Prove that a E C.

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Q: Solve the following  complex numbers in their rectangular form. Use  4 decimal places  for the compu...

A: We have given that, z1 = 4 - 2i  , z2 = 3 + i  , z3 = 1 + 2i We need to find , cosh1 + 2i We know th...

Q: Z1+Z2 Z3 O -2- 6i O -1-i O 1-3i O 2- 6i

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Q: (a) g: Zg → Z6 defined by g(n) = n 2. (b) g: Z6 → Z6 defined by g(x) =x €x. (c) g: Zs → Zs defined b...

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Q: Find the inverse of the following functions of f(x)

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Q: The matrir [1 3 -1 A = 0 5 0 2 1 3 Solve the two systems of vector equations Ax = 0 and Ay = 2

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Q: 4 A = a - (;) 8 -5, Find the inverse of the Matrix:

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Q: Write

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Q: he formula for the circumference of a circle is C=πdC=πd About how much farther will a bicycle with ...

A: Diameter of first bicycle is 27 inches therefore the circumference is  C1=πd=3.14×27=84.78  

Q: Consider the complex number z = 10250°. What is the smallest positive integer n such that z" is a re...

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Q: Q2: Find the interval convergence and radius of F(x)= п! n=D1

A: We will use the basic knowledge of real power series to answer this question.

Q: Let be the periodic function of period T = 2n t + t (-n <t < 0) f(t) = (0 <t < n) Draw the graph of ...

A: Given function with period 2π f(t)=t+π,    -π≤t&lt;00       ,     0≤t&lt;π Graph of function is    

Q: Find the Laplace transform, F(s) of the function f(t) = t°, t > 0. F(s) = ,8 > 0 00 Use the definiti...

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Q: 2. Determine the truth value of each of the following: a) 2 e {1,2,3} b) {2} e {1,2,3} c) 2C {1,2,3}

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