one of the following pairs of functions are orthogonal on interval [-1, 1] Select one: x.cosx b. x,X C. sinx,x d. NOT e. sinx,cosx

Q: 6) (ii) Consider the collection of subsets of R given by B= {[a,b]|a E R, b E R and b > a}. Can this...

A: Basis: The collection of subsets B of a set X forms a basis for a topology on X, if following condit...

Q: In n

A: Given as, an =Innn3

Q: Solve the laplace transform Z(cos (at)sinh(at)

A:

Q: Let Define addition and scalar multiplication as follows. b +e) Ic+f kby verify the following axioms...

A: Given vector is: V=1bc1 b, c∈RThe addition and scalar multiplication are defined as:-1bc1+1ef1=1b+ec...

Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4 deci...

A: Given csc-1(-2.0807+4.5465i)               (1) We have given formula is Csch-zz=ln1+z2+1z           ...

Q: For the following Venn diagram, determine the set Bnc. k 10 a 4 11 9 A 15 d 7. 14 6. B. 8 1 12 13 3 ...

A: The intersection of A and B is the set of all those elements which belong to both A and B.  A ∩ B =...

Q: 6. Solve the following Cauchy-Euler equation. (Section 4.7) x?y" + 5xy' + 4y = 0

A:

Q: What interest will be earned if $4,800 is invested for 7 years at an annual rate of 12% compounded m...

A:

Q: Problem 3.2 Let x be a real number. Show that [3r] = [=] + x+ + x+

A:

Q: Consider the function f(x, X2, X3, X4) = x+3XX4+2x2 8xxX4 +3x+7xa? O a. Fis positive definite Ob. Fi...

A:

Q: (A) If f(0) = 0.7, S(0.1) = 1, and S(0.2) = 0.2, use an appropriate 3-point formula to approximate f...

A: As per the question we are given three data points as : f(0) = 0.7 , f(0.1) = 1 , f(0.2) = 0.2 And f...

Q: Prove: " Show that the number of edges in a simple planar graph of order n is at most 3n – 6". Give ...

A: This is a problem of Graph Theory.

Q: Solve the linear programming problem. Minimize and maximize z= 40x + 10y Subject to 2x +y 2 48 X+y 2...

A: We will use graphical corner points method to find optimal solution of given LPP

Q: diverges, I f it Determine whether the seauence Converges or limit. +(nn) 100 l00 l007+n an= n.+Sn +...

A: We have to check the given sequence is convergent or divergent.

Q: Equivalence Relations Let A = Z Let R be defined on A x A where z R y if 7 | (x – y) . Prove that Ri...

A: The given problem is related with equivalence relation. Given that A = ℤ . Also, given that R is def...

Q: mation to th- correct to thre

A:

Q: On a casual day it was found that 12% of the learners wore their favourite t-shirts. The remaining l...

A:

Q: 1 Let v, = - 3 V2 =| 1 V3 = - 6 p= - 2 and A = V1 V2 V3 18 14 a. How many vectors are in {v1, V2, V3...

A:

Q: Simplify the following: Note: m=0 n=0 (x³ yt z=7) (m+) Vy* z² (x³ y6)º x y z x3 y-2 z7

A:

Q: Obtain the inverse Laplace transform: 4s+4 s2 (s-2) O exp(2t) -3 - 2 cos t O 5exp(2t) -3 - 2 sin t O...

A: Let f(t) be a function of t defined for all positive values of t. Then the Laplace transform of f(t)...

Q: Given the following Case 2 rational function, 1 f(x) = х- 2 X +4 Simplify the right side of the func...

A:

Q: Q 3:7 Let f(2) = , 0.2<xEl.8. Suppose we approximate frm) by the 4th degree Taylor polynomial T,(2) ...

A: Given the function  fx=1x2 and the interval is 0.2≤x≤1.8 

Q: 3. [(3t S(3t +r²)sir sin(2t) dt

A: Please post multiple questions separately.We know that,∫u·vdx=u∫vdx-∫dudx∫vdxdx∫sinxdx=-cosx+C∫cosxd...

Q: 9 In solving certain problems involving support beams in engineering, the fourth-order differential ...

A:

Q: 4. What is the slope when you illustrate tangent line to the graph of the equation y 2x2 – 3x + 5 at...

A:

Q: (1 point) Suppose that C is the curve defined by the polar equation r = 2 +4 cos 0 (called a limacon...

A:

Q: Q3: Find the Wronskian for the following solutions. Y, = 1, Y =In

A: Wronskian= 112ln1+x1-xd1dxddx12ln1+x1-x= 112ln1+x1-x01x+11-x=1x+11-x

Q: One solution of the given differential equation is given. Use the reduction of order formula to find...

A:

Q: Note: F=9 K=1 F+9 2x-(4+F) 4. Let f(x) = h(x) = Vx + (k +3 + F) and g(x) . Answer V8x -(F+5) 8+K the...

A:

Q: Consider the 6 × 8 matrix 3 0 0 0 0 1 2 1 0 0 0 0 1 0 0 -3 4 -7 -9 A = 0 0 0 0 0 0 0 0 0 1 8 1 and l...

A: The main objective is to answer the sub parts by using given matrix which is in reduced row echelon ...

Q: If z=f(x,y), x= r cos θ and y= r sin θ, where f is a differentiable function expressing az/ax and az...

A:

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A:

Q: 5 sin2x + 2sinx = 0 in the interval x = [-2π, 2π] algebraically. Please round your irrational answer...

A: Given as,

Q: If P(n, 4) = 5P(n, 3) then n = %3D Select one:

A: Given we have P(n, 4) = 5P(n, 3) we have to find the value of n we know that P(n, a) = n!(n-a)! usin...

Q: circle. (2) PQ. A B 48

A: In the given circle we have to find the length of the chord PQ.AO = PO will be the radius.AB is the ...

Q: Relations Let A = {1, 2, 3, 4} Let R be defined on A x A where x Ry if x > y. Find all (x, y) € Rand...

A:

Q: +x sin +:

A:

Q: 4m, Figure 5.134 Triangular prism Find the volumes of these solids. 3cm 4 m (a cm 4pm 4 m 3cm 6cm 4 ...

A: Volume is a space occupied by a closed surface. It is measured in terms of the number of unit circle...

Q: 3.) Determine whether the set of odd fuction: f (-x) = -f(x) which is a subset of C(-∞,0) is a subsp...

A:

Q: b, c e R such that abc

A:

Q: What is the standard basis of a skew-symmetric matrix?

A: To give the standard basis of a skew-symmetric matrix.

Q: Determine whether the alternating series converges. k +1 E(- 1)*+1. 11k + 1 k=1 O The series diverge...

A:

Q: Obtain the inverse Laplace transform: s-4s +12s+24 (s-2) (s²+16) O t'e + cos 4t e 2 (cos 2t – 2t) O ...

A:

Q: 1.3 Aggie has to cook a meal for 100 people. However, her recipe is only for 4 people, so she needs ...

A: Conversion factor=new yeildold yeild Recipe available= 4people Recipe required=100 people

Q: Find the Laplace Transform of the following functions f(t) =t sinh( at) f (t) = 2te'

A: To find- Find the Laplace Transform of the following functions ft = tsinhat ft = 2tet

Q: 1 -1 1 3. Given A = 1 -1 1 1 Lo 1 -1. a) Find A-1. b) Write the corresponding elementary matrix for ...

A: (a) we have given the matrix A = 110001-111-111010-1 we have to find the A-1 Now by using elementary...

Q: Use the inverse of a matri:

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

Q: "Using Definition 6.3.6 Prove the following statement Let f and g be real-valued functions defined o...

A: Introduction: Sometimes a real valued function moves towards a finite number when the variable moves...

Q: P5.4 Use Karnaugh map to reduce the following Boolean expression then draw the digital circuits for ...

A:

Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...