QUESTION 5: The subspace of P, spanned by the polynomials 1+x+x², x+x²+x³, 1+x²+x³, 3 and 1+x+x³ has dimension equal to what?

Q: The binary operation a*b = a +b-3ab is defined on Q. Select the correct statements. Select the…

A: The given binary operation is: a*b=a+b-3ab Now, note that the function has an identity element e in…

Q: Solve the IVP: y' + 2y = 4, y(0) = 1

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Q: A point in polar coordinates is given. Convert the point to rectangular coordinates. Round your…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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Q: True or false: If the rank of matrix A is 3, then the rank of its g-inverse is 2. Generalized…

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Q: State whether the following statement is true or false: A vector space may have two or more zero…

A: Here, given that a vector space may have two or more zero vectors.

Q: Find the equation (in terms of x) of the line through the points (-1,5) and (1,-1). Answer in y=mx+b…

A: Here we have to find the equation of the line through the points A (-1,5) and B(1,-1).

Q: Which of the following maps T, L, I, f: R³ → R³ is not linear? a) 1(x, y, z) = (x, y, z). b) f(x, y,…

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Q: 4. Zack consumes mangosteen(m) and chalta (c) and his satisfaction function from consuming these…

A: Given that   s=(m+2)(y+1)s=my+m+2y+2

Q: Write what the below represents. y = logax

A: Given, y = loga x

Q: Match each equation with its corresponding property. 5+1 -1.5 (c-9)8-8(c-9) ola-b)-0…

A: We know that, Commutative property of addition: Changing the order of addends does not change the…

Q: d/dx(y(x)) if x and y are related by the parametric equations x = t+sint, y = t^t.

A: As we know that; The Power Law: ddxxn=nxn-1 The Product Rule: f·g'=f'·g+f·g' The Chain Rule:…

Q: 4 Find (if possible) a. AB and b. BA, if A = [4 5 6 7 ] and B = J 5 6 a. Select the correct choice…

A: The given matrices are; A=4567 and B=3456

Q: Problem 3 Identify all the expressions that are equivalent to All A are not B? (select all that…

A: given: we have to find all the expression that equivalent to A but not B

Q: Graph the logarithmic function g (x) = log₂ (x+1)+2. To do this, plot two points on the graph of the…

A: Please see the below picture for detailed solution.

Q: Suppose it is known that, on average, 3 customers per minute visit your website. This being the…

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Q: the system Solve equations Solutions system of and check algebraically. 3x -y = 14 x-2y = -7 (X,Y)=…

A: solution:-3x-y=14  .....(1)x-2y=7   .....(2)from equation no (1)3x-y=14 y=3x-14

Q: Which of the following pairs of vectors are linearly independent? Ou= (1,0) and w = (0,2). Ou =…

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Q: Consider the R-vector space V-R2. Which of the following subsets of V is a subspace? The line 2x+y=1…

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Q: Produce an example of a subset of 1R³ that is Closed under addition, but not closed under scalar…

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Q: C. Text Mode Lasso Select What is the rate of change of this function? How can it be interpreted in…

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Q: When a clock reads 4 o'clock, find the distance between the ends of the minute hand and hour hand.…

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Q: What percent of 240 is 144?

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Q: If f(x) = x ² - 2x + 1 and g(x) = 4x, find f(g(x)) Select one: O a. 16x²-8x + 1 O b. 4x 3-8x² + 4x O…

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Q: 5.) Consider the following: h(+) = +² -10 + + 25 a.) Find all real Zeroes of the Polynomia |…

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Q: Find y if the slope between (−5,y)and (−17,−13) is 4/3.

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Q: f: R² → R2 with f(x, y) = (2x,x+y) Which statement is correct? Of is NOT a linear map and it is not…

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Q: To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you…

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Q: what number should replace the question mark 472     361     589 396     587     421 518     429…

A: Given data 472     361     589 396     587     421 518     429       ?

Q: Let B = [u, v] be a base for V = R2, where u = (1, 2) and v = (-1, 1). We know that every vector w…

A: Please see the below picture for detailed solution.

Q: Temperature readings T (in°C) were recorded every three hours from midnight until 6 pm. The time t…

A: Given data  temperature recorded every 3  hours from midnight  time t measured in hours from…

Q: What error did this person make while solving the equation using the quadratic formula? 3x2 +4x +2=0…

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Q: Note: You may need to assume the fact that lim 1-0 for all n. MI The number of cell phone…

A: Given problem:- Note: You may need to assume the fact that limM→∞Mne-M=0 for all nThe number of cell…

Q: 8. Suppose à is an eigenvalue of an invertible matrix A. Prove that is an eigenvalue of KA-¹ for…

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Q: 4. 3+ [(-1)⁹ x 2 + (+10) + (-9)]³ * 5. (4+3)x1 ÷ [(-1)³ x (-1)]

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Q: Kimberlé and Francesca both leave the internet cafe at the same time, but in opposite directions. If…

A: We have to calculate Kimberle's speed and Francesca's speed

Q: a. Give the order of the given matrix. b. If A = [a], identify a32 and a23, if possible. 6 -5 4 3 6…

A: Given :Matrix : e-5e5-43-8π6171-19

Q: Solve for x. 3 In (7x) = 9 Do not round any intermediate computations, x = 2.86 X

A: Given that                 3ln(7x)=9               ln(7x) = 3            Taking both side anti ln…

Q: Order of Operations Solve in the correct order: 1. 8+4 -3 2. -7 x (-7) + 10 + 2² 49 + 10 + 4 = 63…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: reach pair of functions f and g below, find (g men, determine whether fand g are inverses of each…

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Q: Simplify each expression, and then evaluate. 10⁰ a) (3³) (3²) b) (-2) ¹2(-2)-10 d) 106 (76) (7-³)…

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Q: How does e2ln|x| become elnx^2 ?

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Q: Three students that share a townhouse find that their electric bill for October is  $4.31 less than…

A: Concept: We have given that the total bill for each month is paid by three students The October bill…

Q: 22.) Whether Determine the equation represents a y Function of X. as 2 x² - y = 9

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Q: Anna invested $5,900 in an account earning 9% p.a.How many months did it take for her investment to…

A: Find out the number of months after which the investment earns an interest of $308.

Q: The mean weekly salary of 9 teachers in a school is $1,000. If the school has 9 teachers and 11…

A: SOLUTION-

Q: Let A 0 B² 0 Which of the following matrices are defined? A² OAXB OBXA -1 and B :)

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Q: (a) Find the greatest and smallest values of 3-5 sinx.

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Q: Choose the letter of the correct answer. Which of the following is true? The sequence whose nth term…

A: Solution of given question is written in below steps.

Q: Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same…

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