(a) Write the sum: using E-notation. 21

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Q: 5. How many positive integers between 50 and 100 a) are divisible by 7? Which integers are these? b)…

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A: The points sketched out on a graph are as follows,

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A: Given : T : P2 → M  defined by ;   Tp(t) = p(1)p(1)p(1)p(1)p(1)p(1) ,  where  P2 = at2+bt+c : a, b,…

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A: Given that f:R→R is convex function with f10=-4, f20=30.

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Q: 1. Consider the sequence defined by the explicit formula AN = N² +1. a) Find A₁ = b) Find A100 = c)…

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Q: 2. A | B | A 11 10 0 1 00 Complete the membership table to show (A-B)u(AB) = A, for all sets A, B.…

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Q: 8. Explain why in any group of 1500 people there must be at least 3 people who share first and last…

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Q: 3. Consider a predator-prey model, z (r-ray), r r, K, a>0, (1) y(-b+cz), b, c> 0. (2) The variable z…

A: Given: The predator-prey model, dxdt=xr-rxK-ay, r,K,a>0 dydt=y-b+cx, b,c>0 Here, the variable…

Q: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.

A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.

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Q: 12. Consider a population that grows linearly, with Po= 8 and P10 = 38. a) Give an explicit formula…

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Q: 2-x Consider the integral [ff av = √₁² √²-²² √²-* [[ [* dV 0 0 S (a) Sketch the solid S. dz dy dx.

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Q: 17) Find Possible Positive, Negative or Imaginary Zeros. f(x)= x³ - 2x²-5x + 6 Count the number of…

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Q: Home work :- Q2₁/ solve the differential equation. (y²³-y²₁ sinx-x) + (3xy^² + 2y cosx) dy 3 Q₂/…

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Q: or n>3

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Q: Q3. a) (i) Evaluate the following integral using integration by parts Se²x co e²x cos (2x + 2)dx…

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Q: 9.) Use spherical coordinates to evaluate 3/2 (x² + y² +2²) ³¹² dydzdx. 9-1² √√9-1²-₂² √√√9-x²-2²

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Q: 2.Show that (P 'n Q) V (Q 'n P) is a Tautology.

A: To Show- Show that P' ∧ Q ∨ Q' ∧ P is a Tautology.

Q: eccione una: a. z=2(1+j) b.z=1/2(1-j) c.z=1/2 d.z=(1-j) e.z=1/2(1+j) M8 .. n = 0 jin 플

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Q: What can you say about z if |e|= 1. Ques

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Q: 12. Let A be the set of all integers = {...,-3,-2,-1,0,1,2,3,...}. Define the relation R on A as…

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Q: X X Oml 0 1 4 2 3 9 16 لیا

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Q: Find a, b, c such that the following change of order of integration holds: 3 clnx LL f(x, y)dydx =…

A: The given integral is                 ∫13∫0ln xf(x,y) dydx