Multiply: 7(cos 45° + i sin 45°) and 8(cos 15° + i sin 15°) solve all of its z-values if it is raised to 1/4.

Q: An isosceles triangle with a base of length b and height of h has a rectangle inscribed. Find an…

A: Given: An isosceles triangle with a base of length b and height of h has a rectangle inscribed. The…

Q: Determine area the top and all side of a platform below. 6m -2.65m 115°

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Q: Let A be 6x9 matrix. Suppose that row echelon form of A has 3 pivots. * Dimension of the null space…

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Q: (b) Show that the function defined by xy √√√²+y² f(x, y) 0 if (x, y) = (0,0) is not differentiable…

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Q: Q2: For the raw data shown in Table below: 1) Find out which of the x₁ or x₂ variables is better…

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Q: The number of zeros of sin() is: a) 1 b) Infinity c) 2 d) 4

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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Q: 1. Evaluate the following limits: x³-1 5x²-x-4' 3. Let f(x) = 4x² + 3x-2, Find: a) lim f(x) X→-1 if…

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Q: Suppose in an autocatalytic chemical reaction, compound A reacts to form compound B. Next, suppose…

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Q: Suppose x is a normally distributed for continuous random variable with 4-10 and 6. Find value of xo…

A: First converting the variable into standard normal using z =(x-u)/σ where u is mean and σ is…

Q: 10. Using the Chinese Reminder Theorem, compute the value of x € Z+ which satisfies the following…

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Q: y = -x^2 + 4x + 3, y = -x^3 + 7x^2 - 10x + 5, x = 1, x=2* 4.083 sq. units ○ 4.183 sq. units O 4.283…

A: We know that the area between the curves can be evaluated by double integration method. We will find…

Q: Find the distance between line 1, and the plane parallel to it and containing line I, where 4:…

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Q: Create a rational function of the form: f(x) = · a(bx+j) (cx+k)(dx+m)² (ex+n) (gx-p)(hx+q) with the…

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Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: Solve the ordinary differential equation y'+4y-3x³, using Runge-Kutta method with Xe 0, Yo-1, X₂-2,…

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Q: All vectors are in Rn. Check the true statements below: A. If I is a line through 0 and if ŷ is the…

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Q: Suppose the function f: R→ R has Fourier transform 1 f(p) = e-p². 1+ 4π²p² i. What is the Fourier…

A: As per the question we are given the Fourier transform of a function f(x) as f̂(p) From that we have…

Q: x² + x³ + x² + x + 1 is irreducible over Q O True O False

A: The given polynomial is x4+x3+x2+x+1. To Examine: whether the given polynomial is irreducible or…

Q: 2e² Let f(z) Let c be the (z-7)(z- 9) circle |z| = 11 in the counter-clockwise direction. Find…

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Q: Find the area of this composite shape. 11 cm 16 cm 4 cm 5 cm 4 cm 4 cm 7 cm 3 cm

A: Let us consider a  rectangle with length L and breadth B then the area of rectangle is  Area of…

Q: he columns of Q were obtained by applying Gram-Schmidt process to the colum 5 -4화 || 4 오= 글 56 16 16…

A: The columns of Q are obtained from A  Therefore the columns of Q are e1=561616-12 and…

Q: Question One (a) Assume that f(x) is a function defined by f(x) = x²-3x+1 2x1 for 2 ≤ x ≤ 3. 1 Prove…

A: Solution : a) f(x)=x2-3x+12x-1 2≤x≤3 f(x) is a rational function and bounded because its pole x=12…

Q: Sketch and describe, in your own words, the surface S parametrized as follows: r(u, v) = (3 cos v,…

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Q: 3. In fitting a parabola, the formula to find the sum of the squares of the residuals is a) E = Ey-…

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Q: Using both trapezoidal and Simpson rule, find the approximate values for the integral sin 2² dr; n =…

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Trapezoidal rule:…

Q: Let f(x) be a function given by f(x)= { (a) Prove whether f(x) is a Dirichlet function. = for Tx<0,…

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Q: 2. The value of f(x) dx = ..., for each Chebyshev polynomial T₁ (x), n ≥ 0. √1-x² c) 0 d) None of…

A: The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions,…

Q: LP Model Minimize: subject to: z = x-y 4x-3y ≤0 x+y ≤ 10 x.y 20

A: Given LP model Minimize:   z=x-y Subject to:  4x-3y≤0x+y≤10x,y≥0

Q: b) Solve the following second order differential equation, clearly showing all calculation steps dy…

A: To solve the given second order differential equation :-

Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Perimeter = 80 cm square of side = 2cm Thus Length = x - 2y = (x - 4) cm height = y = 2 cm Let width…

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Linear combination is the general solution , then satisfying the initial conditions.

Q: 2. The value of f¹dx = ..., for each Chebyshev polynomial T, (x), n ≥ 0. dx=, √1-x² c) 0 d) None of…

A: For each chebyshev polynomial we have

Q: Question 5 ( A manufacturer assembles personal computers. If the computers are priced at £1,000…

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Q: ) = x² + y² - 8x - 6y subject to the

A: Given that fx,y=x2+y2-8x-6y. First we have to find the extreme point on the domain given in the…

Q: 3. Recall that Km,n denotes a complete bipartite graph on (m, n) vertices. a. Draw K4,2- b. Draw…

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Q: Q2) Let(M₂ (R), +,.) be a ring. Prove H = {(a) la, b, c € R}is a subring of (M₂ (R), +..).

A: A subset H of a ring R is a subring if: ∀a,b∈H we have a-b∈H ∀a,b∈H we have a.b∈H Now, we have…

Q: If the Laplace transform of a function f is defined and denoted by F(p), find an expression for the…

A: The solution is given as

Q: The value of B in the equation 3x+9y=1

A: Given: 3x+9y=1 To find: Value of b in given equation.

Q: Find the volume of the solid obtained by rotating the region bounde specified line. Sketch the…

A: Follow the steps.

Q: Assume that f(x) is a function defined by x²-3x+1 f(x) = 2x - 1 for 2 ≤ x ≤ 3. Prove that f(x) is…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Before 2017, a smart phone manufacturer’s phones had a diagonal length of 5.8 inches and an aspect…

A: Before 2017, the diagonal length was 5.8 inches and an aspect ratio of 16:9 The phone is in the…

Q: 1. The LP problem has an unbounded feasible region A. True B.False 2. How many corner points are…

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Q: The mean weight of 800 college students is 56 kg and the standard deviation is 5 kg. Assuming that…

A: given , mean weight of 800 college students is 56 kg and the standard deviation is 5 kg. determine…

Q: Find the polynomial f(x) for which a f(x-1)=(x-3) f(x), Vx E R.

A: A polynomial characteristic is a characteristic in an equation that includes handiest non-terrible…

Q: 1. Which is a polynomial function? P(x) = 2x³ + 3x² - 4x + 4 A. B. H (x) = 4x¹/2 + 3x -4 c.…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (a) Let f: R 11 k=1 R be a function given by f(x1,x2,...,xn) = x²₁x²...x2, where 1. Show that the…

A: As per our guidelines we are supposed to answer only one question. Here first question answered.