16 8 Find the value of x. SU (2x+21) 54° (5x+61 10 Find the length of KNJ. 48 J M

Q: 4 Given the integral: Jo 1+x² dx. Evaluate using Romberg's method. Tolerance = Nx10-6

A: Given integral, I=∫014 1+x2dx To find: Value of integral using Romberg's method

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Q: dl /x² + y² + 4

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Q: (25) Consider the following two matrices 1 b. A = 1 B = (i) Compute AB and BA. (ii) Specify a set of...

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Q: Express the given complex number in exponential form into a + bi form. 157 2e 6 1 + i3 - \3 + i 1 - ...

A: The given complex number is ;                                     z = 2e5πi6 We have to find this co...

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Q: (Use The Figure (10.20) to find the solution of this question) An embankment load on a silty clay so...

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Q: a) Construct a truth table for the statement (pv¬q) -> (r^p) b) (see pic)

A:   a) Truth table for the statement (pv¬q) -> (r^p)  

Q: a (b) Let BE M2x2(R) and B = If a? – 2ad + 4bc + d² > 0, then B is diagonalizable.

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Q: nd which are linearly dependent.

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Q: Graph ARST with vertices R(4, 1), S (7, 3), and T (6, 4) and its image after the glide reflection. T...

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Q: av Also, trh and dv ah tep 3 av When r= 153 and h= 113, then av and an ar Submit Skip (you cannot co...

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Q: te the integrals and sketch the region of integration. L(+y+1)dxdy 2) So S I sin ydydr.

A: NOTE: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: In Exercises 11-16, a graph of a planar region R is given. Give the iterated integrals, with both or...

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Q: Your local grocery store is having a 20% off everything sale. But Wait!! For the next 3 days they ar...

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Q: 1. The following picture shows à 5 5 square that has been subdivided in a particular way. A. Write d...

A: We will use sum of infinite GP( geometric progression ) here    a+ar+ar2+ar3+.........∞=a1-r  , r&lt...

Q: 2. Solve the linear system using Cramer's Rule . 2a + 4b - 6c + 8d = 50 2a - 3b + c - d = -10 3a - 5...

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Q: . Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)"¯ CONVERGES n=1 converges or ...

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Q: 2. Suppose A, B, and C are sets. Prove that (AUB) \C CAU (B \ C).

A: Introduction: We know that the difference property of two sets A and B as A/B=A∩B'.

Q: 3.) Find the volume generated by revolving about the x-axis the areas bounded by the following curve...

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Q: The tangent plane to the graph of the function f(x,y)=x+xy+y2, which is parallel to the z=1+2x+3y pl...

A: Here given surface is fx,y=x+xy+y2 or x+xy+y2-z=0......1 Then, consider Fx,y,z=x+xy+y2-z

Q: Find the volume generated by revolving bout the line y = -1 the area bounded by (х — 2)? 3D 4(у+ 2) ...

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Q: 29 Sin 6

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Q: 82 cities were surveyed to determine sports teams. 23 had soccer, 19 had football, 17 had basketball...

A: We can solve this by given information

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Q: (c) The function, y(x) = 2.0 sinx + 3.00 Inx + x is to be evaluate for x = 1.26. The constants and t...

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Q: (ii) Form the PDE by elimınatıng arbitfary log z=a log x+ V1-a' log y+ b

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Q: f (t) = 6e-6t + et + 5t³ – 9 As5 + Bs* + Cs³ + Ds² + Es + F F(S) : Gs6 + Hs5 + Is4 + Js³ + Ks² + Ls ...

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Q: A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has th...

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Q: When gcd(a, b) = 1, prove σ(ab) = σ(a)σ(b) and find σ(200) and σ(720).

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Q: uence has nth term given by an=5n-2, find the value of n for which an=153. A sequence has nth te

A: Part(i): Given, a sequence has nth term given by an=5n-2.          and an=153.

Q: Given the series ŏ (-2)"** ydetermine the Smellest nthat レンい n' willallow Sny the nth partial sum, t...

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Q: 3. Write the first four terms of the expansion of the following functions In (1-2r) (b) 1+

A: write the first four terms of the expansion of the following functions 1) fx=ln1-2x1+x              ...

Q: In the following diagram, S represents the position of a power relay station located on a straight c...

A: Let us assume a function f(x). For the function f(x), the rate of change of function is given by the...

Q: Exercise 4. Let F and G be homothetic functions in two variables. Is their sum homothetic? [Hint, st...

A: We will use the fact that the MRS of a homothetic function is always homogeneous of degree 0.

Q: 00 When a power series y an (I – 1)" is used to find a solution of the differential equation 72-0 y"...

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Q: QS A) Find IF y = - Ve IF y =-Vt and t sinx

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Q: 2. Define a function B: N x N N using the following recursive definition. B(0,n) = n? n>0, В т, 0) В...

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Q: 10:00 A.M. b(T) represent the length of time (in minutes) the trip takes you, where the input T is t...

A: From the given question two equations are obtained as follows:  

Q: plve the following initial value problem. y) -2y" +y' =3+6x e; y(0)= y'(0) = 0, y"(0) = 1

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Q: Given f(x) = 7x*+ 3x - T. Find all zeroes accurate to 1x10* using: (a) Regula Falsi method

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Q: Find the volume generated by revolving about the line x=0 the area bounded by the curve y^(1/2) = (x...

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Q: let (2, m) be a meesurable space. then 1f f9: x LJare measural ble function, then -> ) f43 is mea sa...

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Q: | If two sets are equivalent, then they are also equal. (True or False?) A is not a subset of B. |Em...

A: These are discussed according to definition in set theory.

Q: Total personal income of the country (in billions of dollars) for selected years from 195 uotion of ...

A: Given, the Total personal income of the country ( in billions of dollars) for selected years from 19...

Q: Estimate the area under the graph of f(x) = over the interval [1, 5] using eight approximating %3D x...

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Q: What mathematical background is needed to understand probability?

A: What mathematical background is needed to understand probability ?

Q: II. Matrices and Matrix Operations Let A and B be the following matrices: A= [+ 2 + 4 - 2 + 8 + 3 + ...

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Q: How many years are required for your money to triple if it is invested at 9% compounded? a. annually...

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