4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁(x)) c)(T₂(x) - T₁(x))) O b O d b) (T₂(x) + To(x)) d) None of the above

Q: Translate the following Hindu-Arabic numeral into the equivalent Roman numeral_ 663 In Roman…

A: D is equivalent to Roman number 500,C is equivalent to Roman number 100 and L is equivalent to Roman…

Q: Q5) Find the Fourier transform of: x(t)= ={Cos (nt/ (Cos(nt/t) for t| <} . elsewhere) Sketch X(f)…

A:

Q: There is a function with two variables f(x,y)=exy + √x +2 (i) Find the first order Taylor…

A: As per the question w are given a bivariate function as : f(x,y) = exy + √(x+2) And we have to find…

Q: Find a, b, c such that the following change of order of integration holds: 3 clnx LL f(x, y)dydx =…

A: The given integral is                 ∫13∫0ln xf(x,y) dydx

Q: Determine the nature and stability of the equilibrium points of the system dr = x=y+z², dt dy 12r -…

A:

Q: Evaluate the sum and express your answer in Cartesian (rectangular) form of the complex number

A: Given- ∑n=0∞ejnπ2  To find- Evaluate the sum and express your answer in Cartesian (rectangular) form…

Q: Consider a series solutions about the point x = 0 for the ODE: y" - xy + xy = 0 (i) Find a…

A: Given differential equation ,                                          y'' - xy' + xy = 0 (.)  x =…

Q: What can you say about z if |e|= 1. Ques

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

Q: Question 2 (a) Let p, q and r be the following propositions concerning an element n of the set {0,…

A:

Q: 11+12/mod 13) mod 13

A: We have to add to find the value.

Q: The Redlich-Kwong equation of state is given by a P = RT v-b v(v + b)√T where R = the universal gas…

A:

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: For the given probability density function, over the given interval, find the mean, the variance,…

A: This is a question from Theoretical Distribution.

Q: 14. The world population reached 6 billion people in 1999 and 7 billion in 2012. Source negative…

A: A linear characteristic is described as a characteristic with one or variables and no exponents in…

Q: chain rule to differentiate the following 1 y = sec 4 sec* (√x + 3)

A:

Q: Pick any two nonzero numbers. Add them to obtain a third number. Construct a sequence of numbers in…

A: We have to examine the nature of Fibonacci sequence by taking any two non zero numbers and adding…

Q: Any group of order 520 is simple

A: Simple group:     "A simple group is a nontrivial group whose only normal subgroups are the trivial…

Q: 1 Let A be the set of all integers = {...,-3,-2,-1,0,1,2,3,...}. Define the relation R on A as…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Verify that the given function is harmonic and find its conjugate harmonic function.

A: According to our guidelines we can answer only one question and rest can be reposted.

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: 12. Let A be the set of all integers = {...,-3,-2,-1,0,1,2,3,...}. Define the relation R on A as…

A:

Q: Write the Hindu Arabic numeral for the Roman numeral DLXIV

A:

Q: 41. Vertex e is OA) an incident vertex OB) insecure vertex OC) isolated vertex OD) adjacent vertex

A:

Q: Instructions Use the process of partial fractions to determine the inverse Laplace of the following…

A:

Q: (sin³3B) (cos3 B) dß Apply the transformation method

A: Solution :-

Q: - Find the solution of the equation 3U, -5U, = 0 satisfying the condition U(0, y) = sin y

A: We have to find the solution to the given equation.

Q: 4. Let S = {a, b, c, d, e, f, g, h} and T = {b, c, d, f,i,j}. a) List the entries of the set S-T,…

A:

Q: (a) Find the Fourier series of the 2π-periodic function f(x) = x² in - π < x < 1. -2<x<2 else a, (b)…

A: a Given function is fx=x2on −π&lt;x&lt;π. We have to find the Fourier series of the given function.…

Q: If the zeroes of a rational function has 2 real, and 2 imaginary roots, then the number of the…

A:

Q: 20 Multiply using Napier's rods. 4x735 Construct the blocks for multiplying 4 x 735 using Napier's…

A:

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: Use Romberg integration to compute R3,3 for the following integral S²x x³ cos x dx

A: Given integration is I=∫01x3cosx dx For n=1 sub interval h=1-01=1 Then by Romberg  method…

Q: Widget Sales Jesaki Inc. is trying to enter the widget market. The research department established…

A: Given that, The research department  of widget market established the following table,…

Q: 4. A composite function Function from your design Disregard desmos restrictions. Set sliders to 0 or…

A: To find: The instantaneous rate of change of a particle at x=A.

Q: Question 7 Define a relation R on the set of integers Z by: (a) Show that R is symmetric. (b) Show…

A: As per our company guidelines we are supposed to answer only the first three subparts. Kindly re…

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: 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: 7. Prove by induction, showing all of your algebra steps: 2.2¹ +3.22 +4.2³ +...+(n+1)2 = n. 2+1 for…

A:

Q: vergence for lim 6-0 sin h hº cos h h 0.

A: Given that limh→0sinh3-h3cosh2h=0. The rate of convergence can be calculated by evaluating the…

Q: The heat capacity of a gas is tabulated at series of temperatures: TCO 20 50 80 110 Cp J/mol.C 28.95…

A: We have to calculate the values of heat capacity corresponding to 28 C° and 93 C° using the newton…

Q: Consider the system dx xy, dt dy 4 - 4x - 2y. dt 1. Determine the nullclines of the system and…

A:

Q: How much should be placed in a fund every 3 months in order to have Php350,000 in 4 years if the…

A: The formula for future value of an annuity is defined as, F.V. of Annuity=P1+in-1i where, P=Periodic…

Q: Specify the boundary and interior of the set S in 3-Space whose points (x,y,z) satisfy the given…

A: Given : S = (x, y, z)∈ℝ3 : x≥0, y&gt;0, z&lt;2 To find : (I) The boundary and interior of S,  that…

Q: Determine the validity of the following argument: (Show the three-step procedure for determining the…

A:

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: Use the mid-ordinate rule with four intervals to evaluate the integral Type your final answer below…

A:

Q: 11. APQR with vertices P(4,2), Q(3,-3) and R(5,-2) is a transformation of AJKL with vertices…

A: The points sketched out on a graph are as follows,

Q: Determine the nature and stability of the equilibrium points of the system dx = x = y + x², dt dy…

A:

Q: Use the following information to answer the next two questions. At a local restaurant, the following…

A: 1. To make the breakfast, as per the given condition write the possible combination.

Q: 2) Perform the following index shifts: i. Write y = no anx" as a series that starts at n = 2 ii.…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.