Sketch the region that corresponds to the given inequalities. 2x + 4y ≥ 20 X ≤5 y≤5 x≥ 0, y ≥0

Q: 1 1 Let A = = 2 -1 1],μεR. 4 a) (4 marks) For each µ Є R find Cartesian equations for Col(A) and…

A: a. For each value of μ ∈ ℝ:1. If μ ≠ 3, the Cartesian equations for Col(A) are all of ℝ³, and the…

Q: Week 5: Functions Vertical line test For each graph below, state whether it represents a function.…

A: Graph 1 yesGraph 2 yesGraph 3 noGraph 4 noGraph 5 noGraph 6 yes Explanation:

Q: Prove that n(n² + 5) is divisible by 3 for any integer n ≥ 0.

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Q: what is the value of the line of symmetry

A: H(m)= 28-3m2+bm

Q: (5x+7)(3x+4)

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A: Detailed solution of the problem is attached below,Feel free to comment if you want any further…

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A: ​The difference quotient for x=13 and h=0.1 is 6320.The difference quotient for x=21 and h=0.1 is…

Q: Find the determinant of the matrix -3 5 6] M = 0 -1 8 0 0 3 det (M) =

A: Here we have to find the determinant of the given Matrix MThe solution is given below

Q: 4. If the difference of two numbers is 50, and the smaller number is 5 more than half the larger…

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

Q: Question for math. If L varies directly as h, and L=56 when h=7, find L when h=3.

A: L varies directly as h, and L=56 when h=7, find L when h=3.

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A: The coefficient of our transformed function is -1. The exponent of our transformed function is x.…

Q: 4. If l=11 |= € 23 and |g+h| = 18 then determine |g-h|

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A: Given:A river was found to be contaminated with toxins at a concentration of 0.006 grams per cubic…

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A: a) b) c)   Explanation:a) 53​=0.6It is at 0.6b) 85​=0.625It is one-fourth from 0.6c) 61​=0.166Its…

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A: We are going to use Descartes' rule to answer this question.

Q: = P(+1) nt = and A Pet to solve the problem given. Round answers to the Use the compound interest…

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Q: Suppose you are given the following data when x = 0 then y = 8 when x = 2 then y = 2 when x = 7 then…

A: Suppose you are given the following data:To find a polynomial  that fits this data.

Q: O Week 2: Systems of Linear Equations Graphing a linear inequality in the plane: Slope-intercept…

A: Solution is attached Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 12. A biologist began an experiment with 30 bacteria cells. After 5 hours, there were 1100 cells.…

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

A: The objective of this question is to determine whether the given sets of vectors are dependent or…

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Q: Find eigenvalues and eigenvectors for the matrix The smaller eigenvalue has an eigenvector The…

A: The given matrix

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: f(x)=⎩⎪⎨⎪⎧​4 if x∈[−5,−2]−4 if x∈(−2,1]−1 if x∈(1,4]​Explanation:In a graph, open and closed…

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A: The preferences are ABC: 1CBA: 3BCA: 4Want to know who wins using the Borda count method?

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Q: 4. Let f(x) = x² + 3x and g(x) = 4x-2. Find the following. Simplify the indicated ones. (No need to…

A: Answer with explanation  see in explanation  Thanks ????Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Question 4. Please show steps and solve thanks.

A: Answer= (b) = 1/8Explanation:Step 1: Step 2: Step 3: Step 4:

Q: • Use the binomial theorem for expanding to solve: (1+ 2x)3

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:

Q: - 10. [H] Let A be a 2 x 2 real matrix such that AX XA for all 2 x 2 real matrices X. Show that A al…

A: We need to show

Q: 3. In the ring F2[x], consider the polynomials f(x) = x³ +x² + 1, g(x) = x²+1 (a) Run the extended…

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Q: The differential equation - −5xy² – 8xy + (−5x²y – 4x² - 3) dy 0 dx Has solutions of form F(x, y) =…

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Q: 1. Let sets X, Y, and Z be subsets of the universal set U. Using Venn diagrams, demonstrate if the…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: 5. Solve 2 cos2 x + 5cosx+3 on the interval x Є [0,2]✓✓

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Q: 9- f(x) g(x) 2 + g(x) = 0 (x-6)²

A: The given graph isWe observe the following from the graphThe vertex of the graph of g(x) is (1,7)…

Q: Problem 7. In each case find the characteristic polynomial, eigenvalues, eigenvectors, (i) [21] 30

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…