Determine if the following function is periodic. If it is periodic find the fundamental period, p. (ii) sin (t – n)

Q: Use the transformation u = 2x + y, v = x + 4y to evaluate the given integral for the region R…

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Q: Evaluate the integral (2cos0+5cos 30)* sin0 d® using Simpson's 3/8 method and dividing the 4. whole…

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Q: ouse the imProved wmethod Solve the : y ty tan X= sinzX ;ylo)=l ;h=ol

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Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

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Q: Using Laplace Transforms Method, solve the following differential equations a) x"(t) – x(t) = 4Cost…

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Q: B. Tell whether each statement is true or false. 1. 4 € {2, 4, 6, 8)} 2. 3 € {2, 4, 6, 8} 3. 14 €…

A: The set is 2,4,6,8. The number 4 is an element of the set 2,4,6,8. Therefore, 4∈2,4,6,8. The given…

Q: The function Ax) is given in the following tabulated form. Compute [Ax)dx with h- 0.25 and 1. with…

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Q: K46 The graph below contains one uncolored vertex U. Without changing any of the existing colors, we…

A: Given graph: To find: the fifth color to uncolored vertex U.

Q: c. 5tan(59°)- ; use special triangles sec(59°) – 3sin²(59°)

A: Given: 5tan59°-2sec59°-3sin259° To find: Using linear approximation solve the equation.

Q: Consider the function g defined by 1 g(x, y) = sin (TVry) + log3(x – 3y) Do as indicated. 1.…

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Q: The speed of sound through air is linearly related to the temperature of the air. If sound travels…

A: Solution

Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

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Q: A particle travels in space on a path described by r(t) (3,4,3r), osIst. a) Give a rough sketch of…

A: Given: rt=3t2,4t32,3t, 0≤t≤1 To do: Sketch the path roughly using the points at t=0,12, and 1.…

Q: Approximate f(3) centered at 0 of f(x) = 2x³ + 3x² + x - 1. %3D

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Q: From part U), | Be dx (4,1,2) = -7 JT sin (4x) | (4-1) In(3) ( log (33)² 3 ln (3) 3dn(3) A(4) gin…

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Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

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Q: dy dz y - zx yZ + X x2 + y?

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Q: fhow thot te function f depined by f(XrY) = 1 (x,Y) =(1,-リ - 1) %3D x2 +y (x, y) F (I,-1) * t y is…

A: We use the sequential definition of continuity to solve this problem.

Q: Solve the differential equation below over the interval from x = 0 to 1 using a step size of 0.2…

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Q: 4. Solve the following 2"d order ODES(5 steps)

A: First we will put y' = t and then after rearrangement we will use the formulae yn+1 = yn + h f(xn ,…

Q: dy x2 + y? 2xy (X + Y)2

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Q: (a) In how many can the set {1; 2; ........; 16} be partitioned such that each part contains 2…

A: (a) Definition : Partition problem is to determine whether a given set can be partitioned into two…

Q: Consider the following sets: U= {set of integers} A = {3, 6, 9, 12, 15, 18} C= {3, 6, 9, 12} E ={3,…

A: Note: If a set contains n number of elements then, total number subsets of a given set = 2n 1) given…

Q: B. Solve as indicated. 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7 and…

A: To find the geometric mean of 1. 28 and 112 2. 7 and 175

Q: 4. Graph one complete cycle. Label everything! ! Fill in all the blanks. y = -1- 3csc( + Domain:…

A: The given function is y=-1-3cscπx2+3π4. To find: (i) Domain. (ii) Range (iii) Amplitude (iv) Period…

Q: 2. 2, 4, 8, ... 10th term 3. 5, -10, 20, ...7th term

A: Note: nth term of geometric  sequence defined as  = a.(r)n-1 where a is first term of G.P and r is…

Q: Q Show that Z12/17) is a quatient ring.

A: We have to show that ,   ℤ12(4¯)  is a quotient ring.

Q: 35. yi 2y1 4y2. i = y1 - 3y2. yı(0) = 3. J2(0) = 0

A: According to the guidelines we are supposed to do one problem

Q: 5. AU (E n F)

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Q: May 17, 2022 Find the inverse transform, indicating the method used and showing the details. 7.5…

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Q: 2. a. Give examples of void set, singleton, power set and univeršal set b. If A = {1, 2, 3, 4}, B=…

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Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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Q: 2. In a certain university 2,191 students are enrolled in its College of Arts and Sciences. 980 are…

A: Let U be the set of all students in that university . M be the set of all male student and F be the…

Q: 10 p sino dpd@oe

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Q: 2s - t 3. Let S = ,te R -S i. Show that S is a subspace of R* ii. Find two vectors that span S ii.…

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Q: The vertices of the ellipse given by 4 +뚜=1 are (2, 1) and (1, 2) (0, 1) and (0, – 1) O Option 1…

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Q: A region is enclosed by the equations below and contains the point (2,8). y = 8 sin y = 8(z- 2)°, y…

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Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: Prove that in any bi-right quadrilateral DABDC, ZC> ZD if PROBLEMS and only if BD> AC. (Assume ZA…

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Q: Evaluate each following, your answer should be a whole number less than the modulus. Complete…

A: we will find value of mod by inverse module    To modular inverse for x (mod y) is: #…

Q: Sin/n Converges Showthat the series fcx) = uniformly R. n=1

A: We have to show that the series  f(x) = ∑n=1∞sin xnn converges uniformly on ℝ.

Q: For numbers 8- 10, Consider the hyperbola with its equation x =y² + 9 22. What is the center of the…

A: We Know that  Standard Forms of the Equation of a Hyperbola with Center (h, k) is…

Q: Consider the following optimisation problem min f(x, y) = x + y – x² subject to x + y 0. a) Find a…

A: Given: The optimization problem…

Q: How many pair(s) of intersecting chords does the figure have? M A O. O 4 O 1 3. 2.

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Q: Find the approximate value using the Lakrange method for inclusion of (3) f, using the following…

A: We have to find the approximate value using the Lagrange method for the inclusion of (3) f.

Q: tind the remainng parts e of spherical trinngles the 95 09' 7", c> 79'18'29", C: 90°

A: Consider the given spherical triangle, It is given that a=95°09'17''c=79°18'29''C=90°

Q: 4.1.1. Definition. A separating set or vertex cut of a graph G is a set S C V(G) such that G - S has…

A: We use given theorem to find connectivity of Qk.

Q: Let x 0 and y 0. (a) If xly, show that {x, y} is a linearly independ- ent set. (b) Extend the result…

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y = eV1--, y(0) = 0…

A: Given equation: y'=e1-t2-y2 with condition y(0)=0   To find: Maximal interval of existence and…