2. Let f(z) = = (+)² Show that lim f(z) does not exist. 2→0

Q: For ony a <b d • ohy f: [a,b] → IR and ony n ≥ 1 n)-f(x)₂) = (b-d) ² max [f'(x)) 1 n RIGHT (f. |…

A: The given inequality is SIMPf,n-∫abf(x)dx≤b-a5180n4maxx∈[a,b]f(iv)(x). If f is a third degree…

Q: 2.5. Let p be an odd prime and let g be a primitive root modulo p. Prove that a has a square root…

A: Given that p be an odd prime and g be a primitive root modulo p. To prove that a has a square root…

Q: Consider the sum sequence (an)n>0 = 4, 11, 18, 25, 32, … (a) What type of sequence is (an)nzo? Find…

A: (a) Given ann≥0=4, 11, 18, 25, 32, .... a1=4a2=a1+7a3=a2+7=a1+2.7a4=a3+7=a1+3.7 Therefore we can…

Q: Show that 38 = -1 (mod 17). Using this, deduce that 3 is a primitive root of 17.

A: Premitive root modulo 17

Q: OA OB 9. The graphs of y: = e* and y = Inx are reflections of each other through the line a) y thus…

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Q: Find a polynomial p of degree 2 so that p(3)=13] p(5) = 35, p(-2)=-7, then use your polynomial to…

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Q: LESSON 9 A quantitative look at the fish population Now you'll study the same fish population as in…

A: The given fish population relation is p'=p-0.2p2-0.7. (a) If p(0)=6 (i.e. 6000Kg) Then, To Find:…

Q: 15. If n €Z, then n² +3n +4 is even. (Try cases.) 16. If two integers have the same parity, then…

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Q: 4. The number of deer on the George Reserve t years after introduction is given by : 6.21 N = 0.035…

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Q: A question of medical interest is whether jogging leads to a reduction in blood pressure. To learn…

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Q: [3] 4. The set of all 2 x 1 matrices in R². where <0 with the usual operations

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Q: Find E₁ Consider the following Gauss-Jordan reduction: -139 20 0 -28 1 0 0 CD-LB-E-W-W- 1 → -28 4 0…

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Q: 3. Find all the roots of the polynomial f(x) = 2x¹ + x³ + 7x² + 4x − 4.

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Q: 3. Write the following statement in symbolic language as a direct implication and de- termine its…

A: a.if ∃y∈Z→∀x∈Z,x=4y+2∈2Z b.if ∃y∈Z∨x∈Z→XY∈Z

Q: Marginal Average Cost for Producing Desks Custom Office makes a line of executive desks. It is…

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Q: Find the absolute minimum of f(x, y) = x² − 7x + y² on the triangular region R that has vertices…

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Q: MATH3120N ENGINEERING MATHEMATICS, QUIZ-1, SEMESTER 1, AY 2022 2023 dy 6. Find the general solution…

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Q: Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 94. 1 √x (Use decimal…

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Q: Here the 5x²+7y=35 Differentiate wir.t 'n we have 21071 1101 9 ㅠ → dy Jn T →) dy dn T +14y dy 52 -…

A: see my solution below

Q: (1) Graph the following function. Show at least two cycles. Use the graph to determine the domain…

A: To find- Graph the function, and use this to determine the domain and range. y = -3cscπ2x y = cos4x…

Q: Find the orthogonal projection of v onto the subspace W spanned by the vectors u. (You may assume…

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Q: 6. A square-based pyramid has a height of 9cm. The volume of the pyramid is 1089 cm³. Determine the…

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Q: 1. Consider the equation (2¹ +64) = 32√√3³. Find all the roots and express them in rectangular form.…

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Q: Solve for the relative max value of g(x) = 45 17x²-3x³ -

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Q: You get a new credit card and make an initial charge, but then charge nothing else. The table below…

A: Given that the table below shows your balance B, in dollars, after you have made n monthly payments.…

Q: 3. Find and classify all the critical points for the function f(x,y)=4+x³ +y³ − xy

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Q: = 5. Consider the 4 x 5 matrix A = [u₁|u2|u3|us| us], where the columns are U₂ = Uz = A U4 = 8 -1 1…

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Q: Create a proof for the following argument, using the implication rules and replacement rules. 1. S…

A: Given-  1. S2. ~T⊃~S∙~R                  / T∙~S∙~R⊃Z To find- Create the proof of the given argument…

Q: Use a 8. Solve y" + 2y' = e-t, y(0) = 1, y'(0) = 2.

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Q: A company discovers that to produce x = 540 new electronic parts, it will cost y = $35,140. To…

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Q: 1. Let n be an integer. Prove that the additive inverse (see Fact 3) of n is unique. (Side note: As…

A: n be a integer if 0 is the additive identity then a+a'=0a=-a' will  be addititive identitywhich is…

Q: What is the value of x that will give g(x) = 4x³5x² + 4 a relative min value?

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Q: An open-top, hollow plastic cylinder has a volume of 99 cm³ Solve for the height (cm) to give the…

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Q: Determine the convergence or divergence of the sequence an = converges. 2 3/2 Find the limit if it

A: In this question, we have to determine the convergence or divergence of the sequence an = n2en and…

Q: (see instructions for Exercise 6 in Section 2.2): PROOF EVALUATION a) "THEOREM": For any sets A, B,…

A: THEOREM: For any sets A, B, and C, if A∪B=A∪C, then B=C.

Q: Find the remainder when 81⁹054 is divided by 13.

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Q: Solve the given initial-value problem. y(x) dy (x + 3) + y = In(x), y(1): = 10 dx I = x(ln(x) − 1)…

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Q: 2. Recall that determinant is a function from the set of 2 x 2 matrices over R to the set of real…

A: Given: A mapping from a set of 2×2 matrices over R to the set of a real number. Define : det :abcd…

Q: For ohy a <b, ony • ohy f: [dsb] → IR and any n=1 RIGHT (f. n)-f(x)d₂ ) ≤ = d bo | SIMP (f»n) -…

A: Given fx=2πe-x22 We have to find the  maxx0,2f'x f'x=-x2πe-x22f"x=-2πe-x22+x22πe-x22…

Q: Approximate L e cos x dx using Gaussian quadrature with n = 3?

A: Given : ∫-11ex cosxdx  , n= 3 To Find : Approximate value of given integration by Gaussian…

Q: n m+n ) (₁ - ₁) + - + ( ) ( ) = (";"). (™+"). r > a. in valid

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Q: The following matrix A has a triple eigenvalue at A₁ = -1, and a single eigenvalue at A22. Compute…

A: Given that the following matrix A has a triple eigenvalue at λ=-1,  and a single eigenvalue at…

Q: & equation of ellipse is, 2²745²2=4 x² + y² = 1 1² 2²=4₁ 6=1 we know, two diameters Y=m₁ x and y=m₂x…

A: Equation of the ellipse is       x2 + 4y2 = 4     =&gt; x2/4 + y2/1 = 1     =&gt; a2 = 4 and b2 = 1…

Q: Find the absolute minimum of f(x, y) = 4xy - 4x - 5y on the triangular region R that has vertices…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Solve the initial value problem. +(4x sec²(4y) + (4y) + — ) dy = dy = 0, y(0) = 1 (tan (4y) - 1)dx +…

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Q: For ony a n) * [ f(x</dx a 3rd degree polymorial, f(x) = ₂x3 +d₂x²+ d dix tdo. f(x) = √²/17 €¯x²/2…

A: Given : for any a&lt;b, any f : a, b→ℝ, and any n≥1,                 RIGHTf,…

Q: Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot…

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Q: 1. Find and Sketch the domain of the function: f(x,y)=√x + Determine the range of the function as…

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Q: Compute the surface integral s F-ndo. F = xyi - x¹j+ (x+z)k. The surface is the top of the plane 2x…

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Q: which simplifies to W W 2p1 2p2 -12 w-P3 w-P3 2p1 2p2 P3 ≥ √P1P2. HIN

A: Simplification of the inequality