let Aand B be b ounded setsof real numbersprove that supCA+B) =SuPAtspanB

Q: 8. A class has 12 male students and 9 female students. Find the number of ways the class can elect: ...

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Q: Use Green's Theorem to evaluate |. (y? – 6y) dx + (y³ + 10y²) dy where C is shown below.

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Q: 4. Determine whether the sets span R' for part a and R' for part b. If the set does not span R? for ...

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Q: 7. When graphing an inequality, inequalities that are less than or greater than would have a If the ...

A: When graphing an inequality, inequalities that are less than or greater than would have a .............

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Q: Q4. Negate the following quantifiers. CLO.4 a) 3y(y? > y) b) Vxvy(((x 2 0) ^ (y 0)) c) vyaz(zzy)

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential...

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Q: Let S be the set S= {a+bk : a,b ER}, where k is a formal symbol. Define addition and multiplication ...

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Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

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Q: Find the present value (the amount that should be invested now to accumulate the following amount) i...

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Q: ) (i) Determine the least degree of the polynomial function given by the following graph. (ii) Deter...

A: Any polynomial function, f(x) that has roots: r1, r2, r3,… can be expressed as f(x)=ax-r1αx-r2βx-r3γ...

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Q: a real entries su entity matrix. If 1X. 1, then a + B+

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Q: What is the advantage and disadvantage of "scale diagram method" for vector?

A: Advantages and disadvantages of scale diagrams are listed below

Q: Q7) Use the rules of inference to show that the following hypothesis lead to the conclusion: CLO.5 V...

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Q: Evaluate the principal 5th root of z = 50 (cos150° + j sin150°) and find the absolute value (r).

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Q: Use integration by parts to compute the integral S xsin(4x)dx and Inx dx

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Q: V = Span{(1, 2, 3), (1, 0, 2)} and W = Span {(0, 2, 1), (1, 1, 1)}. Find the relation between V and...

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Q: Given f(x) = 7x + 2 g(x) = - 5x + 3 h(x) = - 3x- 5 Find h(f(f(4))

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Q: 4. (a) Write down the standard form and give the name of the conics – 3x + 5y² +12x + 40y + 53=0. (b...

A: To find-  Write down the standard form and give the name of the conics -3x2 + 5y2 + 12x + 40y + 53 ...

Q: Find the general solution of the ODE below. 2z y'" – 4y' + 4y = e" arcta y(x) =

A: Introduction: If a second-order homogeneous differential equation has two equal real roots, then the...

Q: The temperature at a point (x, y, z) is given by 60 T(x, y, z) 1+ x² + 3y? + 2z²´ where T is measure...

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Q: Let Z be the set of all integers and R a relation on Z defined R= {(x,y) E Z × Zx = y +1}.Which of t...

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Q: Given two functions f and g. Suppose that f is defined by f(x) = 1 if x + -1 if x: I+1 -1 and g(x) =...

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Q: 2. Let T= , so Span (T) is a subspace of R. Let XY be the xy-plane in R', so XY = yx.yER. Finally, l...

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Q: Suppose that the number V6 is rational. Then 6 = for some p, q e ZZ with q + 0. Suppose that the fra...

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Q: e solution of the di: 0.1 with step size 0

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Q: 2. Camille launches a model rocket in an open field near her house. The rocket has a bit of a proble...

A: Given- Camille launches a model rocket in an open field near her house. The rocket has a bit of a pr...

Q: 4. Let X = {-1, -2, –3, -4, –5}. Determine the truth value of each of the following statements: (а) ...

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Q: For a sum of P8000.00 to double itself in 12 years and 9 months, what must be the rate of interest c...

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Q: Question 19 Which of the following is CONTRADICTION? A (¬(¬P v P)) ^ P B (¬P v P)A ¬P (¬P v P) v ¬P ...

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Q: ay + 2y = 3 dx %3D dy + 4y = x³ - x dx dy .2

A: A first order linear differential equation is expressed by the form  dydx+Py=Q Here, P and Q are eit...

Q: If det(A)=5, det(A1)=20 and det(A2)= -10, then the solution (values of x and y) of the linear system...

A: Given that detA=5, detA1=20 and detA2=−10. We have to find the value of x and y by using Cramer rule...

Q: The following problem refers to a closed Leontief model. Suppose the technology matrix for a closed...

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Q: 9. Find the distance and midpoint of the points (-8,-10) and (4,6). distance= midpoint = esc @ $4 1 ...

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Q: Find: Zx; Zy, Zxy Zyx+ Zxx 근y Xy 군 = e Lny

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Q: 5х +16у+10z %3D 45 3х - 2у + 7z %3 17 5х +у+323D9

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Q: Q1. Find the truth value of the following proposition using truth table. Determine the type of the p...

A: We can solve these by using logic table

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Q: How many rows and columns must a matrix A have in order to define a mapping from R° into R° by the r...

A: The solution is given as  

Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

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Q: Determine if the columns of the matrix form a linearly independent set. 1 2 -3 6 3 7 -6 3 8 -1 -6 Se...

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Q: e lim tan(x).

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Q: Given that yı 1' and y2 a', form a fundamental set of solutions of %3D z'y" – 4xy' + 6y = 0 on 0 < z...

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Q: Apply the parallelogram law to get the sum and difference of the following complex numbers. For veri...

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Q: the constants c1 and c2 such that: (3;5)=c1(1;-2)+c2(2;-3)

A: Given (3;5)=c1(1;-2)+c2(2;-3)

Q: Your friend deposits $5000 in an investment account that earns 6.3% annual interest. Find the balanc...

A: Here principal P = $5000 Rate of interest R = 6.3% Time t = 13 years Therefore  use the formula A=P1...

Q: Consider the plane area shown where r= 18 In. 20 in. 30 in. 30 in.- Problem 05.039.b - Application o...

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Q: Let (x, y) e R × R. Consider the following functions from R? to R? r((x, y)) = (-y, x) and s(x, y)) ...

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