1. Find the trigonometric Fourier Series of the function defined by : filx)= x+# if (X...…... D -2 (-1)" ans.:-... +... S .s.in.n.x.. n ..f(x) = # n=1

Q: without using truth tables show that the following proportion is a tautology   [(p ⇒q )∧¬q]⇒¬p

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Show that when T(z) = Solve T(z) = ∞o if c = 0 az+b cz+d where (ad - bc #0)

A:

Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

A:

Q: Show that the given set V is closed under addition and multiplication by scalars and is therefore a…

A:

Q: Let A = 0 D = P-¹AP. P = -2 -21 -1 Find an invertible matrix P and a diagonal matrix D such that 0…

A:

Q: Solve the given system of equations. 4x - 5y + 3z + w = 11 -x+62-2w = 9 2x + 2y2z+5w = 3 3x+y+z-w =…

A:

Q: Use the method of undetermined coefficients to find a particular solution for the following…

A:

Q: Let F be a "function" defined on the class

A:

Q: F (s) 1 = s(s²+2s+5)

A:

Q: Lillian is deciding between two parking garages. Garage A charges an initial fee of $4 to park plus…

A:

Q: Consider a hypothetical cell phone company whose manufacturing costs x number of cell phones is C =…

A: gain function is defined as G=R-C where R=-0.09x2+7000x and C=2000x+750,000 now,…

Q: e relative error when 2.01239572 is estimated by 2.01237689 is Blank 1. (Answer st be in 8 decimal…

A:

Q: Question 11 Let u (-3, 1) and v= (4,2). Find the value a in each of the following such that u + av…

A: Given ,u=-3i + j   ,  v = 4i+2j⇒u + av = -3i + j + a4i+2j⇒u + av = 4a-3i +2a+1j

Q: Is every autonomous ODE separable? Justify your answer.

A: A machine of everyday differential equations that doesn't explicitly rely upon the unbiased variable…

Q: -X The only fixed point of f(x)=2¯ is Blank 1. (Answer must be in 8 decimal places) Blank 1 Add your…

A:

Q: Q2/ Uses "Goal Seek" to find z that makes f(z) equal to zero: F(z)= 4z³-5z²+2z-4

A: Use the goal seek in excel and solve the given equation. All the steps are given.

Q: 15. the estimated mass of the atmosphere, 9.8 x 10^15 tons, to kilograms (1 ton = 2000 lbs)

A:

Q: 12) evaluate the triple integral. ∫∫∫e (y)dv, where e is bounded by the planes x=0, y=0, z=0, and…

A: A a couple of vital is a exact vital of a characteristic of many actual variables in mathematics…

Q: Let Q and R be subsets of Q. Prove that the following statements are equivalent: Use element…

A:

Q: PA(X) = X" +C₁X-¹ +...+₂

A:

Q: James and Gilbert Matthew and Simon ran in a relay race the times are listed down below find the…

A:

Q: Expand f(t) = ē ltt <# in Fourier Series. DO ∞G 2 t F .... cesn +... ·+· anso fit) sinh sinh nh…

A:

Q: z²-2i lim z+1+1 z²-2z+2

A: Follow the steps.

Q: 2 1 Let A = Show the details of two 03 different methods [(1) using the adjoint and determinant, (2)…

A:

Q: aehyung wants to sign up for a gym membership. The gym charges a one-time signing fee and a…

A: Let the one time sign up fee = x Let monthly fee = y Therefore for 2 months the membership fee is…

Q: Determine whether the Fourier series of the following functions converge uniformly or not. A) f(x)…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Given Universal Set = { a,b,c,d,e,f,g,h,i,j}; A = { a,b,c,e,g,h}; B = { b,c,e,f,h,i}; C = {…

A:

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Given :  y = ∫121s2ds  ;  n = 4           h = b-an ⇒2-14 ⇒ 0.25so interval : x0 = 1 x1= 1.25x2=…

Q: ADVANCED MATH (No long explanation needed. Rate will be given) TRUE OR FALSE a. A bounded sequence…

A: We can solve this using definition of monotonic ,bounded, and convergent

Q: For every n ≥ 1, for every DE Dn, for every matrix A € M₂(K), we have

A: Linear algebra

Q: For items #1 to #10 Use bisection method in solving for the root of a function e^(-x) - tan x = 0.…

A:

Q: 4. The label on a chocolate cocoa powder gives the mass in two units of 282 grams and 56. 4 oz. Then…

A:

Q: nates. 7) Evaluate the iterated integral 23 /9-xx sin (x² + y²) dy dx by converting to polar coordi-

A:

Q: Find the relation between backwards finite difference and average operator..

A: An operator is a mapping or characteristic in arithmetic that acts on additives of 1 area to provide…

Q: 12. the greatest depth of the ocean, about 9.6 mi, to kilometers

A:

Q: 7. Calculate the APR for an 8% per annum nominal rate of interest compounded continu- ously.

A:

Q: Given an n xn-matriz A over a field K ry column vector b, there is a unique column v lution to Ar=0…

A:

Q: For items #1 to #10 Use bisection method in solving for the root of a function e^(-x) - tan x = 0.…

A:

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

A:

Q: Consider the two multiplicative groups (R.) and (R;. .) and let f: (R.) → (R.) be a map defined by…

A:

Q: Where is the function f(x, y) = In Lütfen birini seçin: a. {(x, y) = R² | y-1} c. {(x, y) = R² y +…

A: Given that, fx,y=lnπ4+arctany+x ∴ log is defined when, ⇒π4+arctany+x&gt;0               1

Q: Find the general solution to t²y" +2ty' - 2y = 0 given that y₁ (t) = t is a solution.

A:

Q: 9. A container of oil is 87 gal. How many liters of oil are in the container?

A:

Q: Find the relation between backwards finite difference and average operator.

A: An operator is a mapping or feature in arithmetic that acts on additives of 1 area to supply factors…

Q: A) Find all real eigenvalues of A, and give algebraic multiplicities, if it exists. B) Find the…

A: This is a problem of Linear Transformation

Q: Given that the equation below has a solution of the form y = ert, find r y'' – 12y' + 36y = 0 r =

A:

Q: Let v1 = [1 2 3], v2 = [3 2 1], v3 = [2 1 3]. Find a vector in the Span{v1, v2} that is orthogonal…

A:

Q: For any two kn-matrices A a

A:

Q: b) Use the Ratio Test to determine if the series converges or diverges. n5" Σε (2n + 3)In (n + 1)…

A:

Q: Question 7 15 pts The sum of three numbers is -6. The first, minus the second, plus 5 times the…

A: