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Q: 1 2 2 5 3 2 If M = and N = find (i) M + 5 7

A:   Note: We will answer the first question only as the exact one is not specified. Please resubmit th...

Q: n+ In (3) Given the sequence Then the limit lim a = a %3D n- 00

A: Given an = n + ln(3)nn

Q: The sum of the two numbers is 45. The first number is twice as large as the second number.  What are...

A: Let the second number be x.Then the first number will be 2x.

Q: Find a path that describes the position of a particle whose r-coordinate is always increasing, that ...

A: This is a problem of motion of a particle, geometry, calculus.

Q: a? +2 The sequence (a defined by a, =1 and .for n2 1. 2a a If it is given that sequence fa converges...

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Q: Set roster notation of U={r € Z l -2<r<2

A: we have given the set U = {r∈Z,  -2&lt;r&lt;2} we have to write the set roster notation of U The set...

Q: If the ratio of chocolates to ice-cream cones in a box is 5:8 and the number of chocolates is 30, fi...

A: If there are 5 chocolates then number of ice -cream cones s 8 . Let x denotes the number of ice-crea...

Q: Find the solution of the following initial value problem: an = 14a,-1– 49a, 2; a0 = 0, a1 = 6 an = 0...

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Q: Fiven the table below: 10 15 20 y -1 20 40 60 sing Lagrange's Interpolation method, determine the va...

A: Lagranges interpolation method is used

Q: 3. Let f : A → B. Then 18f = f and f1a = f. Hint. You may use the fact that fg, for functions f, g, ...

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Q: Examine for minimum and maximum values of f(x,y,z)=2xyz-4xz-2yz+x^2+y^2+z^2-2x-4y+4z

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Q: 1. Sequence Consider the sequence {a,}nEN where an = 2" – 3". (a) Write the first five terms of the ...

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Q: 15. Given: S dx 3 a) -=dx Find: du |b) 2 dx 3 dx c) d) xp:

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Q: Aimee and Bruce live next door. Aimee likes to have parties at her place. u A(p) = 150p − (3p^2)/2 i...

A: The utility function of Aimee is given as A(p)=150p-3p22. The utility function of Bruce is B(s)=90s-...

Q: 5. Find all complex numbers of the form z = a + bi , where a and b are real numbers such that zz' = ...

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Q: 3. Find the derivative of the following functions using the definition of the sine and cosine functi...

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Q: From a city population, the probability of selecting (i) a male or a smoker is 9/10, (ii) a male smo...

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Q: x´+ bx +90

A: The discriminant, D,  of the quadratic equation: ax2+bx+c=0 is calculated using the formula: D=b2-4a...

Q: 2. A new location for a park in a small city outside of Bucklin, Colorado, is going to be built. The...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: 1. (t+ 1) 2. 2sin3t +5cos 3t 3. (e" -e") 4. (Vf + 1)(2- VE)/JE 5. 8 sin' 3t

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for y...

Q: . Find the derivative of the following exponential and logarithmic functions: (a) (i) ecosx=sinx (ii...

A: Rules of Differentiation: ddxa·ux+b·vx=a·u'x+b·v'x Chain Rule: ddxfgx=f'(g(x))·g'(x)                ...

Q: Find the transform. Show the details of your work. Assume that a, b, w, 0 are constants. k 1 a) b.) ...

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Q: Compute the value of this summation. 3. Weak induction in steps Let P(n) be the following statement:...

A: Disclaimer: As we are not providing any handwritten solution currently, the answer for Q3 has been p...

Q: Suppose you flip a fair coin twice. What is the probability that the outcome is the same both times?...

A: Consider the head surface of the coin is H and the tail surface is T. The coin flips twice. Therefor...

Q: У(4x + у)dx — 2(x? — у)dy %3D0

A: The differential equation Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x. Compare the given equation with the equat...

Q: A pair of congruent triangles are shown at the right, as marked. Which statement must be TRUE? ZDAB ...

A: We can solve this using congruency

Q: Consider the right-shift on the Hilbert space l2: S:l → l, S(@1,a2, ...) = (0, a1, a2, ...). Define ...

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Q: convex function

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Q: (16—4i) — (12 — 3і) (3i + 7) + (34 – 6i) (-4+7i)+(8– 9i) (-1-i)-(-3– 4)

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Q: (p → (q → s)) ^ (Tr v p) ^ q = r → s

A: Introduction: The truth table is very important in logic. Through the truth table, we can determine ...

Q: f(z) %3D

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Q: A string is stretched and fastened to two points at a distance 'x' of 10 cm. Vibration is started fr...

A: The given problem is to show the displacement of initial shape of the string from the given informat...

Q: a. What is the degree of precision of Trapezoidal rule?

A: Definition - The degree of precision of a quadrature formula is the largest positive integer n such ...

Q: If A COR is closed and cofinal in OR for every a e OR then so is (B|B e 0, A }. a <B

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Q: dx is bln|sec(In(2x)ª)|. What is b? С. 4 11. The integral of tan(In|4x²|) А. 2 D.: В.

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Q: If A * I = A, and A is a 3x5 matrix, what are the dimensions of I? Show complete solution as proof.

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Q: Shown here is a table of the vapor pressure of Vapor Pressure (kPa) benzene and toluene. Temperature...

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Q: characteristic

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Q: Let p, q, r be true. Determine whether the ff statements can have the given truth value (in parenthe...

A: Truth table for some operations:-  p q ~p p∨q p∧q p→q p↔q T T F T T T T T F F T F F F F T T...

Q: One of the following is an improper integral. Determine which one it is then evaluate it. What is th...

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Q: (-4+ 7i)+(8- 9i)

A:  Here, we are given two complex numbers -4+7i and 8-9i We shall find their sum Addition of two compl...

Q: 1 Prove the following equivalence using the truth table:       (p → q) ↔ (~ p V q)

A: As per our guidelines we are supposed to answer only first question. Kindly repost other part in the...

Q: 2. (3i + 7)+(34 – 6i)

A: To simplify the given expression add the given complex numbers.

Q: Find the solution of the following initial value problem: an = 14a,-1– 49a, 2; ao = 0, a1 = 6 an = a...

A: The solution of initial value problem is solved below

Q: (e) The characteristics of uzzt Uyy = 0 are given by: (B) %3D dy dy = -1 and dx dy = 1 (A) dx = -1 d...

A: This is a problem of partial differentiation.

Q: Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4...

A: We solve the lpp by simplex method. And then find the dual problem of the given primal problem. To f...

Q: Its truth table given is constructed as follow. Find the entries in each empty column to arrived on ...

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Q: Let S be a linear transformation from R³ to R² with associated matrix 1 -2 2 2 0 3 A = t T be a line...

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Q: The system + 14 y + 8 z = 1 -3 z 7 y 4 z = 1 3z + 6 y + 3z = 4 has the solution a = + | +

A: INTRODUCTION: The graph of a system of two equations in two variables (x and y) is a pair of lines i...

Q: c. Use the composite trapezoidal rule to compute dx correct to 3 significant figures, taking 5 ordin...

A: From the given problem, it is observed that the interval of integration is [0,1] and the integrand f...