2. If the 6th term of an arithmetic sequence is 15 and the 10th term is 55, what is the first term?

Q: For an non-exact differential, dA, it is always true that True O False 2 S²dA= 1 dA=A₁-A A₂-Ai

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Q: In the following augmented matrices x is a real parameter and they are obtained in the process of…

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Q: (e4x + 2xy²)dx + (cos y + 2x²y)dy = 0

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Q: Bacteria population indestructible therefore increases approximately by N(t) = Net Where No is the…

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Q: Find the sum: 3 5. Check that ³0 (51) (3^4) = (²3) i=0 6. Check that Σ1-0 (1) (35;) = (¹4) i=0 7.…

A: We know that nr=n!(n-r)! r! and n!=n(n-1)(n-2)⋯⋯2·1.

Q: 1.9. (—) If a stock declines 20% in one year and rises 23% in the next, is there a net profit? What…

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Q: In Problem 1-4 follow the template provided below. Problem 1. Let ne N. Prove the formula using…

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Q: what is the name of each of them?

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Q: Find lim (x, y)→(0,0) x² + 4xy² y² 2 2 if it exists.

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Q: v(t) = a(t) v(t)| r(t) = 9 cos(t)i + 8 sin(t) j

A: Given, rt=9costi+8sintj

Q: i. Use the best-fit-line equation for the sugar graph, y = 59.6 2.43x, to predict the rating of a…

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Q: Find the Inverse Laplace of F(s) = s²+65-27

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Q: Simplify the sums: 2. Σ₁2(x² + 2x + 1)-2Σ₁₂(+1) -j=

A: To simplify the given sums :- ∑j=2∞x2+2x+1-2∑j=2∞j+1

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Q: 1. Define variable x = 9.6 and y = 5.1, then evaluate the following: (a) √x² - y² + cos(xy) (b) x-y+…

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Q: (a) If L and t are linearly related, express L in terms of t. (b) What is the daily increase in the…

A: Note: According to our guidelines, we have to answer first three subparts only. Please repost the…

Q: Solve the system of equations by graphing. Then classify the system. x=y=5 2x - 2y = 10 Use the…

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Q: ESTION 1 8-member ABC Alliance is being created to represent groups A with 5 thousand, B with 3…

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Q: 6 5 4 3 3 Sheldon Howard Rajesh Leonard Howard Leonard Rajesh Leonard Sheldon Leonard Rajesh Leonard…

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Q: c.) (CD) (CD) -1 = d.) cofactor of B =

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Q: Determine whether the function xy²/³ + xy ³√x⁹ + 2y³¹ 1 √3' if (x, y) = (0,0) if (x, y) = (0,0) is…

A: Let us consider a function f then f is said to be continuous at c if f(c) is defined limx→cf(x)…

Q: Give interpretations to prove that each of the following wffs is not valid. (a) (∀x)(∃y)P(x, y) →…

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Q: 10x1 + 2x2 - X3 = 27 -3x1 - 6x2 + 2x3 = -61.5 X1 X₁ + X2 + 5x3 = -21.5

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Q: Show that y = sin (1/x) has no limit as x approaches zero from either side

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Q: If the matrix of change of basis form the basis 5 2 21 column of the matrix of change of basis from…

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Q: - 3. Given ƒ(x) = 2x² − 3 and g(x) = 3x +1. Find ƒ (-4), g(1/6), (f+g)(-1), (fƒ— g)(4). Solution:

A: Given, f(x) = 2x2-3  and  g(x) = 3x+1  We have to find f(-4), g(1/6), (f + g)(-1), (f - g)(4).

Q: One of Poiseuille's laws states that the resistance of blood flowing through an artery is R = C/ 4…

A: It is given that the resistance of blood flowing through an artery depends on the length L and the…

Q: - 3. Given f(x) = 2x² − 3 and g(x) = 3x +1. Find f(-4), g(1/6), (fƒ+ g)(-1), (fƒ— g)(4). Solution:

A: Given f(x)=2x2-3 and g(x)=3x+1 We need to find f(-4) ,g(1/6) ,(f+g)(-1), (f-g)(4)

Q: Shift the index so the sum starts at 0: TL 3. Σ=3 .n=3 n+1 i 4. Σ2 12+3

A: Given  Summation are: 3) ∑n=3∞nn+1 4) ∑i=2∞ii2+3 To Find :  Shift the index so that sum starts at 0…

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Q: 2) 2xy + y² - 2x = 0 2 dx

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Q: If nc2=6c2+30c1,find the value of nc3

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Q: Substitute the values for t and r to find the factor increase in emissions using the exact formula.…

A: Consider 2tT=240log102log101+0.03. We have to simplify the expression 240log102log101+0.03. First…

Q: 5. Consider the differential equation dV dx with x R, where the potential V(x) is drawn below.…

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Q: We wish to solve the system [1 x+ [sin(t)]. 6 via eigenvector decomposition. 1 Let 7₁ be an…

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Q: USING THE CONCECTS OF VECTOR ALGEBRA, FIND THE DOT PRODUCT BETWEEN TWO VECTORS 5x+4y+Z AND x-3y +5z.

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Q: Problem 6. Let a be an integer. Show that if 3 | a² then 9 | a². Hint: Rule out the cases a = 3k+1…

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Q: Determine whether the sum ∞ n=1 (In(n)) ¹2 n9/8 converges or diverges, and explain why.

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Q: Given is the following SLE: a 12 1 A 13 6 b c 24 2 a) Calculate the determinant of the coefficient…

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Q: c) Trinity: “The Matrix isn’t real.” d) Morpheus: “The Matrix is a system, Neo. That system is our…

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Q: Which of the following is a particular solution? Ay=C₁e¹cos 2x+C₂e³sin 2x By=C(sinx - Inx)…

A: in the option A there are two arbitrary constants C1 and C2 the  general solution of a differential…

Q: Consider p(x) = (x - 1.5001)(x - 1.5)(x - 1.4999). |p| \rp'(r)] Evaluate the formula = at the root…

A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

Q: If the matrix of change of basis form the basis B to the basis B' is 52 21 matrix of change of basis…

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Q: Find the laplace transform of So 0 t> ³T

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Q: Use concepts learned in this module to complete this problem set: determine limits algebraically,…

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Q: Show that the functions 1 dn w(x) dxn (w(x)(1 — x²)^), Pn(x) = n = 0, 1, 2, ... are orthogonal to…

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Q: Problem 8. The following matrix is the augmented matrix of a system of linear equations. For what…

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