of all positive integers Find the sum less than 200

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Q: 2 Sphere S to be the top half of sphere · x² + y² + 2² SS₁zdS /5 calculate the integral.

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Q: dz Find the total derivative given: a) z = f(x,y) = 2x + xy-y² where x = g(y) = 3y² b) z = f(x, y) =…

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Q: 4) How many pathways are there from A to B assuming you can only travel South and East

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Q: Let G= Find all the conjugate classes of (G,.). (i.e G={1,a,b,a.b}).

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Q: Use the Cauchy Criterion for Series directly to prove that the following series converges. 8 j=1 1…

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Q: Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following,…

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Q: Question 3 The differential equationy' - 3x²-2=0 is linear and homogeneous. (A) yes B) no

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Q: previous case, we can write where Hence, for z # 0, f(z+h)-f(z) -ΣnCnz"-1 =ΣCnbn, h n=0 n=2 If z =…

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Q: Consider the following system of linear equations to answer the below questions: 6x₂ + 7x₂ + 2x3 = 5…

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Q: Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac

A: This is a question of equilibrium and stability.

Q: E(x): x is even      P(x): x is positive S(x): x + 1 = 4      M(x): 2x = 2   6.) ∀xE(x)   =…

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Q: Q: Consider the following system? = X₂-1 2 X²₂ = X₁ ²³-X₁-X₂+1 a) Find the equilibrium ponts of the…

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Q: ose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have…

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Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)4e¯* dy…

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Q: Let Q : N → {true, false} be a predicate with domain the natural numbers N = {0, 1, 2, . . .} and…

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Q: Assume that after one time period, the value of a stock (whose present value is R80) would be either…

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Q: Solve the following ordinary differential equations: 4x dx d²x dt dt² dx dt - 3=0

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Q: Solve the following game for optimal strategy based =3 =9 d=9 e:l B₁ A₁ 9+ a

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Q: 3 g/L salt 10 L/min 1 9 L/min

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Q: 1. The following formula relates the volume (V) and surface area (S) of a sphere. V(S) = (4m) + x 3…

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Q: By Newton's universal law of gravitation the free-fall acceleration a of a body, such as the…

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Q: 1.2. Let X, d be a complete metric space, f: X→ X a function satisfying d(f(x1), f(xo)) ≤ Ld(x1, xo)…

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Q: The initial temperature T(x, 0) of a slab of material with thermal conductivity K and unit thickness…

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Q: Question 9: Given that z = cos + i sin and u- iv = (1 + z)(1 − j²z²). Show that V = utan 30 2 r = 4²…

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