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Q: log x Find the maximum value of - 0 <x <∞

A: Note: Let the function f(x) has a local maximum value at x=a, then f'(a) =0 and f''(a)&lt;0.  Let th...

Q: Find a formula for 1/2+1/4+1/8+.+ 1/2h by examining the values of this expression for small values o...

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Q: i) in triple dot of vectors (A × B). C = %3D

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: 6. Determine if the vectors vị = (1, -1,3, –1), v2 = (1, –1, 4, 2), v3 = (1, -1,5, 7) dependent or l...

A: We have to find that given vectors are linearly dependent  or linearly independent.

Q: 4. (a) 5e-2' cos 3t (b) 4e-5t sin t

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Q: Cons ider the diffavential equation ay? dx +6xy dy = 0 with a gs q regl constant. If u(x,y) = xY is ...

A: Here we have to find value of a using integrating factor

Q: Discrete Math (a) Solve the congruence relation 3x + 5 ≡ 2(3 − 5x) (mod 35) for x. (b) If a ≡ b (mo...

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Q: Perform the Laplace transform of the F(s) column then substitute the value t=O and select the approp...

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Q: Problem 1. Find a* that maximizes the following functions: i) f(x) = x (2-x) where r ER (i.e., no co...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: Consider the polynomial f(x)=5x-2-5x2. Using the forward divided difference approximation for the fi...

A: Given polynomial function is  fx=5x−2−5x2 To determine the step size and approximation of the first ...

Q: x 3 3 4 27 x+39 (2) For the function f(x): (i) Determine the coordinates of the turning points. (ii)...

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Q: Use mathematical induction to show that: (n(n+1)(2n+1)) 12 + 22 + 32 + ….. + n² = 6

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Q: Let k be a positive integer. Use induction to prove that (k – 1)"++k2n-1 is divisible by k2 – k+1 fo...

A: We have to prove the given statement using Induction method.

Q: Suppose nxn matrix A have n n deffrent eigenvalue M- Ce, e2... ex] is As Mooti Matnix and ee. ex is ...

A: We are given a n×n matrix A with its n eigenvalues and right eigenvectors. From that we have to prov...

Q: 1. Luke and Slim have only one horse. Luke rides for an agreed-on distance and then ties up the hors...

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Q: Use the Laplace transform to solve the following initial value problem: y' + 8y = 0 y(0) = 3, y(0) =...

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Q: Use the Monotone Convergence Theorem to show the sequence an = (3^(n−2))/(n!) converges and find its...

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Q: Question 1: Let = The linear transformation S: R² → R is a reflection on the line that is spanned by...

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Q: The object shown in the figure is axially symmetric and its curved surface is described in cylindric...

A: The given problem is to find the volume of the given surface described in the cylindrical coordinate...

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

A: Given   Maximize: f(x,y,z) = xyz Constraint: x + y + z - 9 = 0

Q: In GF(2 ), find the multiplicative inverse of (x +x) modulo (x 8+x°+x+x + 1). Use table to show the ...

A: The complete solution is in given below

Q: The Hill Cypher works in this way: Bob wants to communicate a secrete message to Alice. chose a secr...

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

Q: The Particular solution of the boundary value problem (D +4)y = 0, with y(0) = -2, y = 0 is 2 %3D %3...

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Q: Show proof of the following. Provide all derivations used. 1. The coefficient of kurtosis of a norma...

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Q: 6, 10, 12, x, 16 is 14, find the value of x.

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Q: e 12 Cos V7t + sin 5 -- choices: sin V5 12s-7 s2+7 4. 12s-7 V5 s2+5 B s2+7 4. sin /5 12s-7 s2+7 36 V...

A: Solution

Q: Assume a UQDS, consists of 100 observations, is given in the form of a GFDT with eight classes. Let ...

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Q: Discrete Math Define 0! = 1. For any positive integer n, define n! = n·(n−1)!. For example, 6! = 6×...

A: We have to prove the statement using induction.

Q: Н.W. dy dx 1) 2) Iпx dy 3) 2ху dy = 1 dx = ex-y dx y 4) хеУ dy3 y х2+1 5) х?у — (1 + х)Csc y dy dx 6...

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Q: Consider the following optimization problem: Prime Paints manufactures two types of paints, one for ...

A: We will construct a linear programming problem according to the given conditions. Let x ton and y to...

Q: 7. What is a criteria to decide whether a matrix is invertible in modulo 26 algebra? Perhaps you can...

A:   Solution:Criteria to decide whether a matrix is invertible in modulo 26 : The determinant of the m...

Q: We want to construct a cylindrical can with a bottom but no top that will have a volume of 30 cm3. D...

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Q: Are the Hawkins-Simon conditions satisfied for the following cases: 0.8 0.2 1.2 03 (i) A = (ii) A2 %...

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Q: iv) if z = (xy)¯1 then zx – Zy = b.x + y c. z?(x – y) d.z²(x + y) a. x – y

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Q: A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous r...

A: We are only allowed to solve one question at a time so we will answer only the first one. Please pos...

Q: (a) Express the initial value problem: 1 s'(x) = -f(x), for x +1 f(0) = 1, as an integral equation a...

A: The Initial value problem is given as, f'x=-1x+1fx, for  -13≤x≤12                         (1) with i...

Q: gtx) 6x - 7; h(x) 1.7* Find the derivative of f(x) g(x) h(x).

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Q: 3. z = 14.745°49' 4. z = -3 cis 310° 5. z = 5ein

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Q: ху • prove that x +y Example If z = az dz + y.- Əx х. ду

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Q: Is a solution of the diffrntish epuation 1 yy'= -X+ with y E € ]_9,GE with x € C-G,G] 2. 3)yy: -X,wi...

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Q: . Solve the differential equation d'x 8 L. di? where g, I, L are constants subject to the conditions...

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Q: Result n! de!... dn! Sn has permutations of ky pe [1i2* nte]

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Q: Simplify the expression xyz + x’y + x’y’

A: We have to simplify the expression xyz+x'y+x'y'.

Q: Read and ansua Hhe Bilawng aneshans below ļi 1 find a basis for the saluhan sct of X-y+Zz-w= 0 -x+2y...

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Q: #1. Sets A and B are defined as follows: A = {n eZ|n= 8r – 3 for some integer r} and B = {m e Z |m =...

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Q: Solve the following homogeneous differential equation system i = 7 -15y, y = 3 - 5y2

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Q: 28. y(t) = (t – 3)u(t – 3) %3D | 29. y(t) =(t - 2)²u(t – 2) 30. y(t) = 3e3t %3D 31. y(t) = 2 sin t

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Q: .(k+1)* The series is k=l p*k! a) Converges absolutely b) Conditionally convergent c) Diverges d) No...

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Q: Homework Finite differamce AR-お49

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Q: . Solve the differential equation dx 8 7. + di? 1, L are constants subject to the conditions, where ...

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