True or False? Upload your reasoning. If the statement is true give a proof or detailed reason why it is true. If it is false give a counter example. If f1,..., fn are polynomials such that the degree of fr is k (for k = 1, .., n), then f1, ..., fn must be linearly independent. True False Choose File No file chosen

Q: Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (2, -1). (Enter…

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Q: How do you find part b I am confused?

A: Given data :  Numbers A set of 25 two digit numbers are listed below. 10 17 20 23 24 28 32 39 42 45…

Q: olx 3(2-3x)"

A: The objective is to solve the integral ∫132-3x4dx

Q: What is the illustration oF

A: Angle in the clockwise direction measured from positive X-axis is taken negative and anti clockwise…

Q: 3+i 3-i ) = 오 %3D 3-i

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Q: LCM 3 and 5

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Q: 164 24 7. 8. 88

A: Given

Q: #1 and 4

A: Solving for Q : 1 and 4   1. Let p = probability that a 2.5 inch toothpick landing on the line when…

Q: (c) Choose any two points on your line of best fit and find the equation of the line you have drawn.…

A: Answers may vary based on the points chosen. One of the possible answers is mentioned below. (c) The…

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: curl(curl F)= grad(div F) - 2F

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Q: Given B = v1 {(0, 1, 1, 1)} , v2 = {2, 1, – 1, –1}, v3 {(1,4, –1, 2)} , v4{(6,9, 4, 2)} B' = wi {(0,…

A: This problem based on topics matrix representation of linear transformation with respect to given…

Q: Sechu=-Sechu-tonhu Jor dx

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Q: not clear

A: A transformation T:Rn→Rm is linear if and only if the following relationshipshold for all vectors u…

Q: Basics of algebra?

A: see 2nd and 3rd step we have some basic formulas of algebra and some properties.

Q: How is the y value determined, like y1,y2,y3, and y4? (the second column of the table)

A: As per the question we have to explain how the y-values i.e. y1 , y2 , y3 and y4 are determined.

Q: Show the following property |(B+c)D BD+ CD.

A: We have to show  (B+C)D=BD+CD

Q: show all working out with annations

A: this mapping construct similar and mark some space for understanding

Q: Calculus

A: The solution is given below in the next steps:

Q: convegence?

A: 1. Sum ∑n=1{3n-1/3n}n2This is a series where each term is raised to the power n2. To determine…

Q: Find u - v, 2(u + 3v), and 2v - u. u = (4, 0, -8, 6), v= (0, 2, 6, 4) (a) u - v - (b) 2(u + 3v) (c)…

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Q: bijection.

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Q: It 3. Mow

A: The given statement is 3n≥2n+1 for any positive integer n≥1. To prove the above statement, we use…

Q: (6,8),(7,7),(9,8),(12,11) find the value of r and round to four decimal places.

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Q: Which

A: Using Pythagoras theorem, the length (L) of the rectangle becomes:…

Q: Simultaneous 23 gy-1 +2

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.