Give a recursive definition for the set of all the positive integers that are less than 100 and not divisible by 7.

Q: et +2e2t-et 6. dt e2t +1

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A: To easy understand let x1 = a, x2 = b, x3 = c The given equations are 5a-2b+3c=-1-3a+9b+c=22a-b-7c=3

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Q: If the loss percent for grapefruit is 47%, the yield percent would be 53%.

A: Yes. Statement is true.

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Q: (b) If N is even, show that [N/2] is real if x e RN.

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Q: EX' 1) show That. the ring of Complex numbers can be imbed iny in ariny 2x 2 matreces.(M 241

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Q: Rungkutta thad to sulve use me

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Q: Rung-kutta method yl=y Luse to Solve

A: To solve the given differential equation by Runge Kutta Method first we will find the values of k1,…

Q: Prove: If (ū. v} and ü, v. w} span the same vector space, then w is a linear combination of ū and v.

A: If {u⇀,v⇀}  and {u⇀,v⇀,w⇀} spans vector space V then,we will have to prove that we can write w as a…

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Q: Assume that a + b and the following system of equations: X - 2y =a X - 2y =b - Find the least…

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Q: une the radius and interval of convergence of the series 2 4...2n n=1

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Q: Find the third order derivative of y = In(cos(2x))³. A. y' = -40sec² (2x)tan(2x) B. y' = -80sec?…

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Q: COMPLEX ANALYSIS: Find all possible values of z when 1. (z-1)^3=i 2. |sinz|>1

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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Q: Suppose g is a primitive root mod p (with p an odd prime) such that g +1 mod p? Prove g must be a…

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Q: The minimum value of the function f(x, y) = 8x² – 2y +1 subject to the constraint x + y = 1 is:…

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Q: Express the sum of integrals as an iterated integral in polar coordinates: •2/3 r4+v16–x² x dx dy +…

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Q: ind the shortest distance from Q to U in the network below. 7 8 S Q U esponng 6 7 The alues X V 13…

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Q: e roots of ur w2n n

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Q: 2. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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Q: (4) §5.6, Suppose U is a unitary matrix. Show that both U (5) §5.6, (a) Find all possible real…

A: Introduction: A unitary matrix is a complex number square matrix whose inverse is equal to its…

Q: Find the area of the region inside r = 9 cos 0 and inside the rose curve r= 9 sin 0

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Q: d) Let X,Y, Z be sets. Calculate |XUYUZ if |X| = 50, [Y|= 90, |Z| = 71, |XnY| = 8, |Xn Z| = 9, |Yn…

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Q: 3. у %3D ах + bx2

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Q: Use Dirichlet's principle with n = 10 to find a rational approximation of T.

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Q: 16) Find the following matrix product: 2 0 1 3 0 0 1 3 2 4 2

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Q: Given that p1=1−x, p2=5+3x−2x2 and p3=1+3x−x2, consider the following statements:   1.  {p1,p2,p3}…

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Q: Question Two Solve For x in the following i. 2x+3 21-x + 15 %3D ii. log (6x + 4) – log (x – 6) = 1…

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Q: 2. Find the temperature of a thin rod u(x, t) of length L = 2 using the heat equation a?u du 0 0…

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Q: Given H = a) Show that His a subgroup of A4- b) Find all the left cosets of H in A4. c) Find all the…

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Q: 4 in [2, 4] sat theorem, ther

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Q: Ean(x – c)" - n=0 satisfy |an+1] lim = L. no an (a) Find the radius of convergence of > an(x – c)".…

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Q: y6) + 25 y" = 0 p(6)

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y +z =-13. Find the following. 1. The cosine of the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A recipe for cheesecake makes two cakes with 16 servings each. If you want to make 80 servings, what…

A: Since it is given two two cakes with 16 servings each. Thus total servings = 16(2)=32 servings.

Q: use Rung-kutta method to so lve

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Q: Q4 FILL IN THE BLANKS. No justification is required. a) For a and n positive integers, a is a…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…