Answer True or False, and erplain your answer: if a 7 x 7 matrix has linearly independent columns, then the matrir is invertible if and only if the columns span all of R.

Q: In n

A: Given as, an =Innn3

Q: Find (characterize) all primes p > 3 that satisfy (금) 1.

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Q: (d) Give an example of an equivalence relation on the set {1, 2, 3} with exactly two equivalence cla...

A: This is a problem of Relations and Function.

Q: Which of the following functions are one-to-one: Which one of these functions is not invertible? Sel...

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first quest...

Q: Solve the value of w, x, y and z on the given system of linear equations using any method you know. ...

A: We can solve this following equation by guss Jordan elimination

Q: What is the approximate value of the first derivative of f(x)--0.1x-0. 15x-0.5x -0.25x-1.2 at x-0.75...

A: The given problem is to find the approximate value of the first derivative of the given function at ...

Q: Suman and Kashish add and subtract -1 and -6. Suman claims that they can add and subtract the intege...

A: The given integers are -1 and -6  add them -1+-6=-7 change the order and again add -6+-1=-7 the addi...

Q: (b) Consider the following Venn diagram representing three sets A, B and C intersecting in the most ...

A: The regions represented by the binary digits 011, 100 and 101 can be stated mathematically as follow...

Q: please solve the limit and give an explanation on the steps 2x +8 x² – 12 x + 6 | lim x-6 if no expl...

A:

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is 39

A: The permutation formula is defined as follows:

Q: e segment L with length of 25 meters into two segments L1 and L2. Specify the lengths rounded off to...

A: Introduction: A line segment has been split into the Golden Ratio if the ratio of the segment's comp...

Q: 1. Let U24 = {z e C|224 = 1}. Define §24 = cos () + i sin () %3D (a) List all subgroups of U24 and d...

A: The given question is related with group theory. Given that,                 U24 = z∈ℂ | z24 = 1. De...

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: Consider the set S= {x €N|x is odd and 10<x<30}. Determine the cardinality of the power set of S.

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Q: ce into accoui ced or not.

A: Given as, r=B6

Q: 18. 9y" – 6y' + y = 0, y(0) = 3, y'(0) = 1 %3D

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: Evaluate fo (6+3 cos a) da using Trapezoidal Rule (n=2). O 12.43167 O 12.26896 11.78097 O 12.386125

A: The given problem is to find the approximate value of the given integral using Trapezoidal rule with...

Q: 1. Determine the next number in the sequence: 9, 4, 3, 121, 37, 84, ___ . 2. A Fibonacci prime is a ...

A: 1. The next number in the sequence is 9,4,3,121,37,84, 2339 The difference dose not converge.

Q: Evaluate -(~p +→ p) → ~q using the table below: T. F T F TFFT TTFF FFTT FTFT TFTF O FTTF

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Q: Question 2. Solve the following differential equations: a) 4 dy dx2 dy 42- 3y = cos 2x. - dx

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Q: sin wt O1 VI

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Q: Let x E Q'. Show that for any n EN, there exists Xn E Q such that |x- Xal <

A: Given x∈ℚ', that x is a fixed irrational number. We know that between any two real  number, there ex...

Q: Let f(x,y) = x sin ry. Find: (a) fr(T,y) (b) fy(x, y)

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Q: .1 Use a calculator to calculate the following. Write your answer using the rounding instruction wit...

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Q: Answer the following questions a. Simplify the following polynomial and answer the questions below. ...

A: Use the following definition and theorem, to obtain the solution. The degree of a polynomial px is ...

Q: What lump sum should be deposited in an account that will earn at an annual rate of 8%, compounded q...

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Q: 2.2 Julia needs to make 500 hamburgers for a school function. Hamburger patties are sold in packets ...

A: Number of hamburgers needed by Julia = 500And one packet of hamburger patties contains 12 hamburgers

Q: Find the missing angle x.

A: In this question, the concept of straight angle is applied. Angle in Straight Angle Angles on one si...

Q: fØ: R → S is a ring isomorphism. Th Nilpotent elements Idempotent elemen

A: The properties of ring isomorphism are given. We have to select correct properties of it.

Q: AABC and ADBC lie on same side of BC. If BA=CD, BD=CA, prove that AD||I

A: Introduction: A parallelogram is a type of quadrilateral produced by intersecting lines. A parallelo...

Q: In how many years will annuity of Rs.400 amount to Rs. 4064 at 3% p.a. compound interest?

A: The formula for the compound interest is given as follows:

Q: Let P(x) be the statement “ x? > 1" and Q(x) be the statement “x+1 < 4". The universe of discourse c...

A:

Q: What is 100+60 plesse

A: Addition of integers with positive signs gives a positive integer.

Q: y" + 2y' +y = sin x+ 3 cos 2x.

A: Let us consider the given differential equation y''+py'+qy=Q(x). To solve the differential equation ...

Q: The table below shows the speed-time change of an athlete in a 20-m period. The runner's speed is gi...

A: Given, I=∫020v·dt The integration is performed using the trapezoidal rule and Simpson Method.      

Q: P1,420 is invested in an account which earns 8% interest compounded annually, which will be the bala...

A: We have to find the balance at the end of 17 years.

Q: Evaluate the given function ſ cos²xsin³dx cos$x а. cos³x + C 5 cos³x cos"x cos3 + C 3 b.- cosx с. co...

A: Solution

Q: As = 8 6 4 A," = 1/3 - 1/6 /2 4 2 2 2 4 4 - 1 - ½ 5/6 1/3

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Q: (b) By minimizing the function f(x, y, u, v) = (1 – u)² + (y – v)² subject to the constraints y = r+...

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Q: Let y = - ty + 0.ly and y(0) = 0.72. Use Euler's method to find approximate values of the solution o...

A: Given y'=-ty+0.1y3 and y(0)=0.72 We have to use Euler's method to find approximate values at t=0.5,1...

Q: P6.7 Simplify the following Boolean expression using Boolean algebra laws: [Y +(XY)]'+X

A: We will just use the basic knowledge of Boolean algebra laws to simplify this expression and prove o...

Q: Noman would like to have $50,000 in 16 years to give to his son to help pay for his university educa...

A: As per the given condition the person wants to make his money goes up to $50000 in 16 years, if the ...

Q: c. Give the weight of your laptop in gram. What is its weight in ton? Give your answer to 2 decimal ...

A: This is a problem of physical conversion and counting.

Q: Write the form of the following argument. Is the argument valid or invalid? Justify your answer. typ...

A: Solution

Q: What is the inverse of the statement: "An ideal woman has a motherlike attitudes."? O If she's mothe...

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Q: Discrete math

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Q: II. Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - x)dy = 0 2. y(...

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

Q: one of the following pairs of functions are orthogonal on interval [-1, 1] Select one: x.cosx b. x,X...

A: Given the interval [-π,π] and the pair of function. a. x2,cosxb. x,x c. sinx,xd. NOTe. sinx,cosx We ...

Q: The space X {0, 1} with topology T = {0, {1}, {0, 1}}) is To but not Tỉ %3D %3D Select one: O True O...

A: The topology τ=∅, 1, 0, 1 is defined on the set X=0, 1. Definition:  A topological space X, τ is sai...

Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x) dx.f(x)=y=2...