Prove the following trigonometric identities. 1 cotx a) 6 cosx| 6 cosx = 6sin² x COSX CSCX

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: An e-market company is planning to expand into two new markets, on the basis of a broad market…

A: Solution : Market 1 : The number of customers will increase by 800 each year. Market 2 : The number…

Q: Q1: The following two random variables x and y are linearly correlated: 1) specify their correlation…

A: Let us solve the statistic problem in the next steps.

Q: 3) By changing the independent variables x and y to u and v by means of the relations u xay, v = x +…

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Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁ (x)) c) (T₂(x) - T₁(x))) b)…

A: Chebyshev polynomial Tn(x) of the first kind is a polynomial in x of degree n defined for x=cos…

Q: Number of voters 10 16 1st choice C B D 2nd choice B A B 3rd choice D C A 4th choice A D C Find…

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Q: Maximize z = 4x + 2y, subject to the following constraints. (See Example 8. If an answer does not…

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Q: A signal can be formed by running different colored flags up a pole, one above the other. Find the…

A: Permutation: A permutation is an arrangement of the objects or numbers and the order of the…

Q: 9.) Use spherical coordinates to evaluate 3/2 (x² + y² +2²) ³¹² dydzdx. 9-1² √√9-1²-₂² √√√9-x²-2²

A: To find the given integral using spherical co-ordinate system :-

Q: f: R → R. be a function given by f(x₁,x2,...,xn) = x².x..., where = 1. Show that the maximum of…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Use the bisection method to find p3 for f(x) = r - 16 2 on [0, 1]. 0 0-1 09100 ت | طر دن | هم د | ده…

A: f(a)f(b)≤0 then one toot of f(x)=0 lies in [a,b]

Q: Q1. Locate and classify the singular points of the following functions: A: f(z) = z[1-e¹/z] B: f(z)…

A: We can solve this using definition of singular points

Q: Obtain the general solution to the equation. dy y dx = - + 5x + 6 X The general solution is y(x)=,…

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Q: (2) y" (t) - cy'(t) + gy(t) = 6t²²t where: you) = Y(u) =

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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.

Q: 2-x Consider the integral [ff av = √₁² √²-²² √²-* [[ [* dV 0 0 S (a) Sketch the solid S. dz dy dx.

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Q: ii) in triple cross of vectors (A × B) × C = C × (B × A). iii) A is 2 x 2 unit matrix, B inverse of…

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Q: 1. Suppose you invest P5,000 at 10% simple interest. How much money will you have after 5 years? O…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: Follow the steps.

Q: Solve the given linear programming model using the simplex method (Tabular form) Answe The objective…

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Q: 4. -15 -10 (-4,4) (-4, 3) -5 (-4,-5) -4,-6) -10- 0 -5- --10- --15- 5

A: The standard form of the equation of hyperbola with center (h, k) and transverse axis parallel to…

Q: Change the order of integration (show all steps, including graph) Sax fay+fdx fay 0 -10

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Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

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

A: Option a is correct answer

Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = . revolving D about the x-axis is: I…

A: Introduction: The Shell Method is used to calculate volume by breaking down a solid of revolution…

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

A: Solution: Given, y'=3x3-4yy(0)=1h=0.5y(2)=? Using formula , k2=hf(x0+h,y0+k1) Second order R-K…

Q: Calculate the energy coefficient from the first order if the infinite potential box is as uneasy as…

A: Given: φn=2LsinnπxLφ2=2∂Lsin2πx2L To find: Solution

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

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

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: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

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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: Let G be the simple graph on the vertex set V(G) = {a, b, c, d, e, f} with adjacency matrix: 011101…

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Q: (a) Prove the convergence or divergence of each of the following series: 1! 2! 3! (i) + + 22 +1 + +…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: (a) Write the sum: using E-notation. 21

A: Note: since you have posted multiple problems. As per our guidelines we are supposed to solve only…

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Q: t(M₂ (R), +..) be a ring. Prove H = {(8) a, b, c E R}is a subring of 10 ), +..).

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Q: Based on the data set below, find the interpolation value for x=2.5 from a fourth degree…

A: Given,   x 0 1 2 3 4 y 1 1 9 61 205

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A: Exponential Growth In Exponential Growth, the quantity will increase very slowly at first and then…

Q: Describe matrix multiplication of two matrices A and B in terms of linear functionals (the linear…

A: Solution:-

Q: Explain how to solve difference equations using the iterative method.

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Q: Q1 Solve the ordinary differential equation y'+4y=3x³, using Runge-Kutta method wit Xo-0. Yo 1,…

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Q: 4. Let (G, *) be a group of order 231 = 3 × 7 × 11 and H€ Syl₁₁(G), KE Syl, (G). Prove that (a). HG…

A: The Sylow theorems are a fixed of theorems named after the Norwegian mathematician Peter Ludwig…

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…

Q: Let D be a square with sides 0 ≤ x ≤ 2 and 0 ≤ y ≤ 2. Estimate the following integral (²+ (x + 1)"…

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Q: Find the Maclaurin series of Ĉ n=0 sin(x) x7

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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: Solve the initial value problem. dy +2y-4e¯X = 0, dx The solution is y(x) = y(0) = 2

A: Given differential equation is in the form of linear differential equation . So we will use…

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: can't understand the symbols used and the handwriting is blurry

A: Solution:- The objective is to formulate the mathematical model that minimizes the largest deviation…

Q: 4. ABP is a triangle, M is a point on AP. AB = à, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: We have to use  triangle law of vector addition According to the law  if two sides of a triangle…