5. What is the minimum number of students, each of whom comes from one of the 72 provinces, who must be enrolled in the University of the Philippines to guarantee that there are at least 100 who come from the same province?

Q: Given the complex numbers z, = 2 + j3,zz = -1 - j2, and zs = 4 + j4 find; ZZ2 m(高) (5)+(6 (六)(五)+ Z2…

A: We have to simplify given complex expression.

Q: Reproduce the given computer-generated direction field. Then sketch an approximate solution curve…

A: To find- Reproduce the given computer-generated direction field. Then sketch an approximate solution…

Q: A) function is defined by f(x) = {²1₂ ² if x20 if x<0 Evaluate f(0), f(1)and f(2) and sketch the…

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Q: Solve and clasify the ecuation systems that are shown according to its solution type. 3x - 6y = 9…

A: We have to find the solution and classify it.

Q: Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, ² + y² = 4.

A: We have to find the centroid of the thin plate.

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

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Q: 3. (a) Show that the two surfaces S1 : z = xy and S2 : z =3x^2/4 - y^2 perpendicularly at the point…

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

Q: Equation y=(x-2)² + 1 y = (x+4)² +6 y=(x-4)²-1 VERTEX FORM OF A QUADRATIC RELATION "k" value and…

A: As per guidelines we are supposed to solve the maximum three sub parts at a time kindly post another…

Q: 4. A parabolic plate, shown below, is submerged in water. 2 m k 3 m - If the top of the plate is 1m…

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Q: Investigate if the integral, is c is convergent or not. Justify your answer.

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x) = 2x…

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Q: QUESTION 2 Use the Gauss- Seidel method to solve the following system to a tolerance of ε = 0.001.…

A: Gauss- seidel method is an iteration method used to solve a system of linear equations. A set of n…

Q: Consider the function f(x) = x³ + 2x + 5. 2. Estimate the root to eight significant digits using…

A: For an equation of the form f(x)=0 If xn is one of the root then next root xn+1 can be estimated by…

Q: Please solve the logic problems below: 1. Verify if (~p→q)≡~[p→(p∧q)]

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

Q: Derivative application question please answer with detail! A property management company manages an…

A: We have to find What rent should be charged in order to realize the most profit.

Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: A company produces two products in the amount x andy and the respective prices Px and Px. The two…

A: A  function f(x,y)f has a relative maximum at the point (a,b) if  f(x,y)≤f(a,b) for  for all…

Q: show

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Q: Given the f(x)=sin(x)+cos(x), find f’(4) at h=0.5 using: (Round off the final answer to 3 decimal…

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Q: 6. x(x² - y²-x)dx + y(x² - y²)dy = 0 x=2 y= 0

A: It should be -y instead of +y.

Q: Q13: Given the following table x f The value f" (1) is (A) 15 (B) 12 -1 -21 (C) -12 1 15 (D) -21 2…

A: NOTE: As per the guidelines we are supposed to answer only one question because this is not a…

Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

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Q: Question 9. (a) Prove that every element of Q/Z has finite order.

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Mr. Yara has 200 acres of land available to plant for three types of fruit trees (lemon, peach and…

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Q: 12. 13. 14. 15. 16. Find the gradient of the line joining the points A(5, -7) and B(- 3,01 Find the…

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Q: 84. State four points where cos x = - infinite number of these points? H|2 Why is there an

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Q: 1 which of the following is equivalent to 2x-4 O B. -4x²+6x + 5 0 4x²-6x-5 >0 E. 4-2x

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Q: H.W: Solve B.C Ans. سے لے 2 dx² y = X dx X² ylı)=1 = y(2)=2 Use h=0₁/ y (1.5) = 1.481159 + Sin(Lnx)…

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Q: 5.1 Express p(t) = at²+bt + c as linear Combination of P₁ = (+-1)= P₁₂₁ = +-1 and P/3 = 1.

A: I just used the definition of linear combination

Q: find a basis for the kernel of the transformation and give its dimension

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Q: If fn If 0 ≤ an ≤ bn for all n € N, and f on [a, b], then lim ſå fn ‡ få f. an converges, then bn…

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Q: 2(3) (11) 1. If P(2) 1.3 +2.4= = 6 2. Prove that P(n) is true for all positive integers n. and P(5)…

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Q: Give a characteristic that the two functions f(x)=x and g(x) = 2' have in common.

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Q: Graph a polynomial function of degree 3 or higher that has at least FOUR of the following criteria…

A: “Since you have asked multiple question, we will solve the first question for you.If you want any…

Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

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Q: The Thomae function T: [0, 1] → R is defined as [1/9 if x T(x) = Q where x = p/q with gcd(p, q) = 1…

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Q: Finding Missing Sides in Similar Figures Figure A Figure B The trapezoids in Figures A and B are…

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Q: Example 12: Sketch a graph of the function f(x) = x² - 4x³ + 10 using the following steps. (a)…

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Q: The paraboloid z = 8-x-x²-3y2 intersects the plane x = 2 in a parabola. Find parametric equations in…

A: The equation of the paraboloid is given as z=8-x-x2-3y2. The paraboloid intersects the plane x=2 in…

Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: 4. y" — 2y' + y = 4e¯t + 2et, where y(0) = −1, y'(0) = 2 2+

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Q: QUESTION 1 A liquid-liquid extraction process conducted in the Electrochemical Materials Laboratory…

A: Consider the given quadratic interpolant that estimate g, g=x1a2+x2a+x3, 2≤a≤3 Now, consider the…

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: We have to find Radius of the can, Height of the can and Minimum cost.

Q: Q7 A country has 100 billion dollars of currency in circulation, in paper bill form. Money passes…

A: To solve the linear differential equation.

Q: Evaluate (6+3 cos x) dx using Simpson's 1/3 Rule (n=4). O 12.114624 O 12.42518 O 12.386215 O…

A: Simpson's 1/3 Rule n=4: ∫abf(x) dx≈h3f(x0)+4fx1+2fx2+4fx3+fx4 Where                  h=∆x=b-an

Q: Find the domain of the function. √s-2 f(s) s - 5 O all real numbers s such that s > 5 O all real…

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Q: Covert the following propositions into propositional logic: a. I will lower prices and taxes when…

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Q: Calculate the Cauchy principal value. COS V.P. Lx (acos #dz, (a > 0). -dx, (a²-x²)

A: We use sum of residues to find Cauchy principal value.

Q: (a) Express the permutation (2 4 5)(1 3 5 4)(1 2 5) as a single cycle or as a product of cycles. (b)…

A: We will solve these problems related to permutation and relation