(a) Find the f(q* + + e5e 10n + q3/5 )dq

Q: Q-6: Find the maximum product of two positive x and y such that 2x + y = 100.

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Q: 3. Let f(2)= and let C = {2 € C : |2| = 1}, described in the positive sense. Determine the value of…

A: 3. Given function as f(z)=z4-5z2 and C=z∈ℂ:z=1

Q: A and Bare open and bounded.

A: For second one we can take any two open interval one of whose right end point ar same of the others…

Q: QV2 | is Principal Ideal Domain.. True False

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Q: How do we prove a theorem of the form ∀x(P(x)->Q(x))?

A: To prove the theorem of the form ∀x(P(x)→Q(x)), we apply mainly two steps: 1: We take the arbitrary…

Q: Min z = 4x1 + 2x2 s.t. 3x1 + x2 ≥ 27 -x1 - x2 ≤ 21 x1 + 2x2 ≥ 30 x1 and x2 are unrestricted .

A: the given LPP is as follows Min z=4x1+2x2 subject to  3x1+x2≥27-x1-x2≤21x1+2x2≥30 where x1,x2 are…

Q: 5. What values should be assigned to coefficients a1, a2, and az, so that the quadrature formula…

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Q: (2) Determine k such kx - 4x+ = 0 that has real and different solutions. 2 %3D

A: Note: We'll answer the second question since the 2nd one is specified. Please submit a new question…

Q: 4 Lonsider the functlan fx)= -5x4- |l+x?tx-17. functfon Fex)= -5xH-|l+x²+2x-17. 5xH-113+ Whatis r n…

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Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

Q: 7. Find the absolute maximum and absolt f(z) = 2x – 31²/3 on the interval -1,2). %3D

A: We have to find out maximum and minimum

Q: 12 f(x) = X ¹²³ + x² + x² + x² Show that whether f(x) is irreducible or not

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Q: Find the linearization at x = a. f(x) = 1 a = 5 x3 (Express numbers in exact form. Use symbolic…

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Q: Suppose f:N→ N has the rule f(n) = 3n² – 1. (a) Determine whether f is surjection onto N and show…

A: a)   The given function is not surjective. Because there is no pre image n of 3 in the domain N such…

Q: Does f(x) = x - x - 5 have a real zero between 1 and 2? %3D

A: f(x)=x3-x-5 have a zero between 1 and 2.

Q: The residue of f(z)=1/(z+1)^3

A: f(z)=1(z+1)3

Q: Find the linearization at x = a. 1 f(x) = a = 5 (Express numbers in exact form. Use symbolic…

A: Given:Fx =1x3  ,a=5To find:Linearization at x=a of FxMethod:Lx ≈ fa+ Fι a x-a

Q: Find the exact intersection points of the functions: f(x) = 2cos2x +5sin x- 11 g(x) = 8sin2x – 6sin…

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Q: Derven g(x) = (a of the ax (4-x) 0≤x44 -2x -8≤X 20 value of g(x) is O average Find the value of

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Q: %3D R is Rectangle ļ (Xxy); -1SXEI, -1k YE13 what are the ciitical paints and the absolute max and…

A: Given function  f(x,y) = x2 + 3y3 + 9y2 - 3x  Then fx(x,y) = 2x - 3  fy(x,y) = 9y2 + 18 y  fxx(x,y)…

Q: 2 Find the limit infimum and supremum of 2 XA = √√√ 1+n² √1tn 2A-5 write the complete solution.

A: Limit infimum and limit suprimum

Q: 6) Show that the function f:Z → N given by 2n +1, n20 f(x) = -2n, n<0. is 1-1 and onto. I

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Q: An epidemiological study of the spread of a certain influenza strain that hit a small school…

A:

Q: 3. Use the Intermediate Value Theorem to show that f(a) = a2-3x +1 has at least one real zero…

A: According to intermediate value theorem, if f(x) is a continuous function whose domains contains the…

Q: ind the Wronskian of: 18x - 6 18x + 6 6x - 18 6x + 18 f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

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Q: find the value of ( ƒ ∘ g)' at the given value of x. ƒ(u) = 2u/u2 + 1, u = g(x) = 10x2 + x + 1, x =…

A: Since f(u) is not clear. Considering two cases to solve the problem:

Q: Test for symmetry: 6x2 +5y* = 2 m soolaisvic tni-y d niomoc Ans 11a Determine whether f is even,…

A: 11.a The given equation is, 6x2+5y4=2. Test for symmetry: An equation is symmetric about x-axis, if…

Q: 6. (a) Express f (x), where x3 + 1 f(x) = %3D (x – 1)2 (x² + 1) Hence, or, otherwise, find HE AND…

A: f(x)=x3+1(x-1)2(x2+1)

Q: 4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 <x< 1 and concava…

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Q: QV2] is Principal Ideal Domain. True False

A:

Q: Prove that the real part of is constant for -n < 0 < n z+2-i

A: Let  z = a+ib

Q: 2) Use Rolle's Theorem on f(x) = 2x3 - 6x² - 2x + 6 to find all numbers c in the interval (1, 3) for…

A: Here is the solution:

Q: Find the linearization at x = a. 1 f(x) = a = 9 (Express numbers in exact form. Use symbolic…

A:

Q: (It v5)" (1 Vsy (b) Prove that f. for all integers n> 1.

A:

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

A:

Q: a) Factor a +x³ + x into irreducible polynomials in Z2[r];

A: i) Linear factors are irreducible. ii) Just substitute values in Zp and see the expression becomes…

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A:

Q: Prove: for n > 1, F; – Fn+1 Fn-1 = (-1)".

A: F_n are the Fibonacci numbers which are defined by F_0=1,F_1=1 and F_n = F_{n-1}+F_{n-2} for…

Q: a) Factor a + r³ + x into irreducible polynomials in Z2[x];

A: We shall solve first Que only, if you want others to be solved kindly post it again by mentioning…

Q: V21. Show that there exist constants M and N such that M||x||| < ||||2< N ||x|| -

A: Given ||x||1=∑i=1n|xi|=|x1|+|x2|+...+|xn|       ||x||2=∑i=1n|xi|2=|x1|2+|x2|2+...+|xn|2 Now we have…

Q: An epidemiological study of the spread of a certain influenza strain that hit a small school…

A:

Q: Find the critical numbers of the function f(1) = 2x-24r. %3D Answer (separate by commas): I =…

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Q: 2: find the function H by Cayley-Hamilton-Sylvester -2i

A: Here we will find out H-1

Q: Q3. Use Lagrange interpolating polynomials of degree three to approximate f0) if it passes through…

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Q: B. Use indirect proof 1. Show that: Vx€z, if x2- 6x+ 5 is even, then x is odd.

A: Given : x2-6x+5 is even for all x∈ℤ   To prove : x is odd As x2-6x+5 is even . So,  x2-6x+5=2m for…

Q: Find the linearization at x = a. f(x) = a = 7 (Express numbers in exact form. Usc symbolic notation…

A: Linearization L(x) of the function f(x) at x=a can be written as below: L(x)=f(a)+f'(a)(x-a)

Q: True or False The domain of 1f # g2 1x2 consists of thenumbers x that are in the domains of both f…

A: The domain of (f·g)(x) consists of the numbers x that are in the domains of both f and g