10. Determine the length of a to the nearest whole number. 9 a 26° 18

Q: 16. If a and b are positive real numbers, then a +b >2/ab.

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Q: Exercise 3.2.6 Show that if G and H are isomorphic groups, then G commutative implies H is commutati...

A: A group G is called Commutative if for any a,b in G imply ab=ba

Q: 11- (3,5) is a point on the graph of y=f(x). find the corresponding point on the graph of following ...

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Q: 3. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

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Q: Exercise 3.1.18 State whether each of the following statements is true or false and give a brief rea...

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Q: Find the area of the composite figure below. 4 cm 3 cm 9 cm 5 cm Previous 4]

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Q: Exercise 3.5.2 Suppose that G, G' are finite groups and T:G→G' is a group homomor- phism. Show that ...

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Q: Find the rate of convergence of the following sequence as n → 0o. n +1 lim 1 400 n +2 -1

A: In this question, the concept of rate of Convergence is applied. Rate of Convergence The rate of con...

Q: Tessa has two pieces of cable, one 18 feet long and the other 10 feet long. For a science project, s...

A: Please find attachment for the details solution

Q: Assume that f : R → R is such that |f(x) – f(y)| 0 one has that f(r) – r f(0) + (1 – A)r (b) Consid...

A: Explanation Given - assume that f:ℝ→ℝ such that f(x)-f(y)≤λx-y for all x, y ∈ℝ and some λ∈(0, 1) To ...

Q: 4. Find the exact arc length over the interval. from x = 2 to x = 3 16x2 а. х

A: Arc length of the curve

Q: Consider the following Linear Program: (1 1 1 1 0 2 1 02 20 0 -2 1 1 2 15 4 max 1 1 1 1)x 1 1 subjec...

A: The given linear programing problem is: max 1111111x Subject to: 11021102200-2121543113x=226x≥0 Let ...

Q: 8. Consider the initial value problem y' = x- 2y, y(0) = Determine which of the two curves shown in ...

A: The solution of the differential equation is defined as the function that satisfies the equation. Th...

Q: What is the area of this figure? 8 in 8 in 5 in 5 in 8 in 5 in

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Q: d the indicated level curves or describe the level surfaces. a. Let f(x, y) = x

A: (a) Given,             f(x, y)=x-y2 and               c = -1, 0, 4

Q: Compute the first two steps of the Jacobi

A: Given,          2-10-12-10-12uvw=020

Q: sin(z) Sc (3z – 2)(z – 3) dz

A: Please find attachment for the 

Q: Solve for the 2nd order nonhomogeneous linear equation: y"+12y'+37y=10e-4t     ; y(0)=4,  y'(0)=0

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Q: Insert the indicated number of anithmetic means for cach of the following I. betwoen 6 and 16 (1 ari...

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Q: 2. Rearrange the equations to form a strictly diagonally dominant system. Apply two steps of the Jac...

A: The complete solutions are given below

Q: For this series of questions,

A: Given,               f(x)= x5+3x2+x

Q: Delta invested 25, 000 pesos in a bank that earns 2.5% annual interest compounded continuously. How ...

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Q: Find the slope of the line containing the given points.  P1(−1, −8), P2(−7, 4)

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Q: Exercise 3.2.3 Show that Zg under addition is isomorphic to Z; under multiplication.

A: We know that, Z6 = {0, 1, 2, 3, 4, 5} and Z7* = {1, 2, 3, 4, 5, 6}. A group isomorphism is a functio...

Q: . Find the general solution of the first-order equation y? – 2ry dy dr

A:

Q: Solve the following systems of congruences. a. x = 2 (mod 5) x = 3 (mod 8) b. x = 4 (mod 5) x = 2 (m...

A: Given system of congruence are a) x≡2(mod5)    x≡3(mod8)b) x≡4(mod5)    x≡2(mod3)

Q: determine the parametric coordinate of the critical point of the curve x=t^2+3t=2 and y=t^2-1.

A: Curve will have critical point if it have vertical tangent or horizontal tangent . Slope of horizont...

Q: 3x? +5x –13 3. Express in partial fraction term. 3x+2 x? - 4x +4

A: Partial fractions

Q: (b) On R2, the function (v, w) =v1W1+vịw2+v2w1+ V2W2. %3D

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: a) Given that y, (t) = t-2 is a known solution of the linear differential equation t?y" + 5ty' + 4y ...

A:

Q: (5) Use the expansions (Maclaurin series) 1 (1) Ew", w| < 1 1- w n=0 1 (2) E(-1)"w", w|<1 1+ w n=0 t...

A:

Q: - vx ( P(x) A Q(x)) = 3x (-P(x) V ¬ Q(x)) True O False

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: write 3 fractions greater than half, but less than one.

A:

Q: Let S = {n e Z: n> 2} and let ne S. If 2n +? < 5, then 4n2 + < 25. %3D Hint: Trivial or Vacuous Proo...

A:

Q: 2. Let u e Rm and v e R" be two non-zero vectors, in other words at least one component of the vecto...

A: Given : u∈ℝm and v∈ℝn are two non-zero vectors, A=uvT∈ℝm×n (a) Suppose u2=1 and v2=1, then show that...

Q: 6. A small town's growth follows the model P(t)=- 16 ,where p is the population in 1+1.7e021 thousan...

A:

Q: Exercise 1: f is a 27-periodic function, defined on [0, 2m) by Ssin(t), 0<t< a, S(1 = 0, ast< 2x Her...

A:

Q: 2. The derivative of y = (1 + Vx3) (x3 -2 V) is y'=-3x4-3xs-2z2-11xº.

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: a). Solve the linear congruence of 231x = 147 mod 598.

A:

Q: . Consider the n-th order linear differential equation un) + an-1un-1) +...+a1u' + aou = 0, (*) with...

A: As per the question we are given a nth order linear homogeneous differential equation in u(t), Whose...

Q: Let A and B be subsets of a set X. Prove that if A ⊆ Bc, then A and B are disjoint.

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Q: 4x -1 b) dx. J x(x? + x – 6) c) xV4-x² dx.

A:

Q: Evaluate Ln(-5.3-j2.4) O 4.3143 +j1.0541 O 1.7610 – j2.7164 O -1.2232+ j1.9883 O -2.6170 - j3.5246

A:

Q: Evaluate the following and write it in rectangular form a.) ln(50<70) b.) ln(1-j) (1+j√3)=A

A: The given problem is to evaluate and simplify the given complex expression and express in rectangula...

Q: 2. Let u e R" and v e R" be two non-zero vectors, in other words at least one component of the vecto...

A:

Q: dx ? What is the antiderivative of the integrand 2e* A - 2e -* + C + C 2 (c) - e -× + C D - 2 e* + C

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Q: The formula in finding the roots of an equation using False Position methoe (XL)*f(Xu)-(Xu)*f(XL) f(...

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Q: Multiply the following and express your answer in appropriate scientific notation: (6.6 x 10') x (1....

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Q: Exercise 10. Is the set of all finite sequences of 0s and ls countable? Justify your answer.

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Q: Find the relative condition numbers of the follow- ing problems. Then identify all the values of x, ...

A: Definition: For normed linear spaces X, ·X and Y, ·Y, nonempty open U in X, and f:U→Y, If f is diffe...