-4 3 If 8 2a is a singular matrix, then a

Q: Exercise 3 Calculate the Taylor series of order 3 in x =1 of In(1+ x) x2

A: Introduction: A continuously differentiable function can be expanded into the Taylor series. The Tay...

Q: Check that F(r, y, z) = (yz + y)i+ (xz+z + sen(z))j+ (ry+ 2z+ ycos(z) + 1)k is a conservative field ...

A:

Q: Let Bn := [n, 00) CR for n = 1, 2, ... Let m be the Lebesgue measure on R. Then (Bn)n is a descendin...

A: The set Bn is defined as follows: Bn=[n, ∞)⊂ℝ, where n=1, 2, ⋯ Show that ∩n=1∞ Bn=∅.

Q: (-4)+(-1)

A: Introduction: Integer addition and subtraction are two operations that we use on integers to increas...

Q: The area of the floor in a square room is 121 square meters what is the length of the wall of the ro...

A: It is given that the area of the floor in a square room is 121 square meters. We have to find the le...

Q: Prove that every odd integer is a difference of two squares. For example, 7 = 42 - 32. Give a direct...

A:

Q: Prove: If ū and v are linearly independent, also au + bü = cũ + dủ, then a=c and b=d. %3D

A: Introduction: Two vectors u and v are linearly independent, if there exist two scalars such that, au...

Q: Write the following base 2 numeral as a base 3 numeral: 10010,

A:

Q: 2. Use the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b. It...

A: In part (a) we plot two graphs one of y=x and another of y=cos(x) and with the help of the graphs we...

Q: The root of the equation is estimated using the point of intersection of y = e^x and y 3x + 2 Using ...

A:

Q: t" + t"-2 + an–3t"-3+ ... + ait + ao. Let Mnxn be the set of all n-square symmetric matrices and the...

A: It is given that Mn×n is the set of all symmetric matrices of order n. We know that the set of all n...

Q: (a) +Sy-9y-0 (0)-1 V(0)-0

A:

Q: al equatio of the dif

A:

Q: How many pieces of wire, each 200 mm long, could be cut from a 10-meter coil?

A: We know that, 1 meter= 100 centimeter  And 1 centimeter= 10 millimetre  Therefore, 1meter= 100×10 mi...

Q: 3. Let S be the set of BS Math students, M be the set of math courses/subjects, and p(s, m) be the p...

A: Introduction: The predicate can be written in symbolic form using quantifiers. Two types of quantifi...

Q: 9. Suppose that N(h) is an approximation to M for every h > 0 and that M = N (h) + K,h+ K,h? + K3h +...

A:

Q: 4. e2t+a(2 cos at – 3 cosh 2at) -

A: It is given that the function ft=e2t+a2cosat-3cosh2at. We have to find the Laplace transform of ft w...

Q: Problem # 5e Is the function 0, x2, -2x² + 6x + 3, 1 3 a spline function? Why/why not?

A: We use definition of spline function to answer the question no. 5

Q: Need Answer ASAP Using Fermat's Little Theorem to Calculate Each (Show Your Work) 1. 99 ^ 101 mod 10...

A:

Q: If a fifth degree polynomial is divided by a third degree polynomial, what is the degree of the quot...

A: Let there be two polynomials fx=ax5+bx4+cx3+dx2+ex+f and gx=mx3+nx2+px+q where a≠0, m≠0.    

Q: The minimal polynomial of 2 1 0 0 0 2 0 0 0 02 0 0 0 0 5 is

A: Given matrix is 2100020000200005

Q: s-4 s+1 2. L(sin 2x + e2x+3) = . s²+4 s-2 Hint: e²x+3 = (e2x)(e³) -7s*+2s²+24 3. L(x* + x² – 7)

A: L{ eat}  = 1s-a    ,  L{sinat} = as2 + a2,     L{xn} = n!sn+11. L( e4x + e-x + x2  ) =L {e4x} + L{ e...

Q: How much final amount would Abraham receive if he invest P100,000 for 1 year and 3 months at 11% sim...

A: Use the formula to calculate the simple interest as follows:  

Q: Use the cyclical alphabetic encrypting code that shifts each letter 8 positions to decode the follow...

A: Number of positions shifted: 8 So, encrypted letter will be at c numerical equivalent position  Wher...

Q: a.) Give your own example of a compound proposition containing exactly three simple propositions and...

A: This is a problem of Logic.

Q: An android phone and a bluetooth speaker together cost Php6500.00 . The phone costs Php2000.00 more ...

A: We have to find the cost of the phone. Let the cost of the phone be x and let the cost of the blueto...

Q: In Q3 graph the vertex is adjacent with o 001 o 00 • 10 O 100 Clear my choice e converse of the prop...

A: Converse of P -> Q is Q -> P

Q: Consider the sequence 5, 10, 15, 20, ..., 5n + 5. a. How many terms are there in the sequence? Your ...

A:

Q: 9. Find all real values of c such that the vectors and are linearly independent.

A:

Q: Let X = {a,b,c} and Y = {1,2,3,4}. Which of the relations A,B,C defined below are functions from X t...

A: The given problem is related with function. Given that ,               X = a , b , c and Y = 1 , 2 ,...

Q: 2x + 3)y’ = y + (2x + 3)1/2

A: Given differential equation can be reduced in linear differential equation 

Q: Part 4. Prove the following mathematical statements. Let n be any integer. a. If n – 1 is odd, then ...

A: a. It is given that n-1 is odd.

Q: Suppose there are two firms (the industry is a "duopoly"), each firm's cost function is the same, gi...

A: The complete solutions are given below

Q: A musical scale has 12 half-tones that correspond to the 12-hour clock. What note is 6 half-tones ab...

A: Solution:- as per guidelines I submit first question only

Q: Multiplication Inverse Let z = (x, y). -y Show that z-1 2' 2 2 х —у x +y X -

A:

Q: Given r(t) = f(t) i + g(t) j Prove that r '(t) = f'(t) i + g'(t) j using limits

A: We know  that the limit of two function is exist, then the limit of the sum of two function exist an...

Q: 2. Use the Intermediate Value Theorem to show that 2x-3 if – 3 0 has a zero on the interval (-2, ln...

A: Introduction: The intermediate value theorem is an advanced property of a continuous function. Suppo...

Q: (b) +V-2y-3t y(0) 0 v(0) = 1

A:

Q: Show that the function e cosy ti Siny) is an andlytic Runction 2 W= Sin Z Q2. Determine whe ther ana...

A:

Q: Use the Intermediate Value Theorem to show that 2.x – 3 if – 3 0 has a zero on the interval [-2, ln ...

A:

Q: If Discuss the application of the transformation iz +1 th z +i th to the areas in the z-plane which ...

A:

Q: The determinant of the matrix M is shown below is 1 2 0 3 4 0 0 0 0 0 2 M = 4 3 1

A: Solution:-

Q: a. Prove that Rf is an equivalence relation. b. Suppose that f is the squaring function defined by f...

A: This is a problem of Relation.

Q: Use graphing paper to draw the graph of linear equations given the following conditions: 1. Given tw...

A: 1. Plot the given points on the cartesian plane.

Q: Is graph G a tree?

A:

Q: If one Canadian dollar is equivalent to US$0.8150, how much do you need in Canadian funds to buy US$...

A: It is given that one Canadian dollar is equivalent to US$0.8150. We have to find the amount required...

Q: Each point on a Cartesian plane is assigned a pair of coordinates called C. origin D. ordered pair A...

A: The given question is related with cartesian plane. We have to fill the statement:                  ...

Q: 3. Decide if the following improper integrals converge or diverge. dx (a) x2 + 4 (b) . xe" dx da (c)...

A:

Q: Given F(s) = L(f), find f(t). a, b, L, n are constants. S the details of your work. %3D

A: 29. Given,            12s4-228s6       

Q: GIVEN COMPLEX NUMBER 2. (4 + 5i )(4 – 5i)

A: Given complex number is (4 + 5i)(4 - 5i)