1. max z = 2x1 + 3x2 X1 + 2x2 < 10 3x1 + 4x2 S 25 s.t. X1, X2 2 0; x1, X2 integer

Q: 0, 0<x<1/n, fn(x) = { /n, 1/n < x < 2/n, 2/n < x<1. 0,

A: Pointwise convergent:- A sequence of function is pointwise convergent, if its every point sequence…

Q: 1. Show that, if x(t) and x[n] are even, then x(t) = 2 x(t) dt and > x[n] = x[0] + 2 x[n]. n=-k n=1

A: If a function f(x) is an even function then f(-x)=f(x). Since x(t) , x[n] are even functions…

Q: 14 2 = x -y, x = t, y', y = t-1

A: Given:   z=x2-y2   ,  x=t ,   y=t2-1 Putting these values into the equation-  z=t2-(t2-1)2…

Q: 23 4- [fe** dycdx ans :(e' - e' )(e² – e') 12

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Q: 5. y>|x - 21 y O 7. x-3 ≤ y ≤ x +4 YA la S II 6. y ≤1x +4 Ins 8. -4≤x-2y < 6 x

A: See this solution in below.

Q: In Problems 99–106, analyze each polynomial function f

A: f(x)=x3+0.2x2-1.5876x-0.31752

Q: 2. f(x) = In 3r on [1,4 with n =5

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Q: The critical number for y= coth(x^3+1)

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Q: 2 4 Solve for x: x+1 „x not equals to 1, – 2, – 4 x+ 2 x+4 1.

A: we have to solve the equation

Q: solve each equation.

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

Q: In Problems 51–54, find a rational function that might have the given graph. (More than one answer…

A: A graph

Q: *29 y-5=m(k-iD= 0(x-1) =O y-5=0 y=5

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Q: 2) S . dr V-1

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Q: S 6(1 – y), 0<x <y<1 (.) - {0, elseubere x, Y elsewhere

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Q: 9. The population of a certain country is given as P(x) and P(x) is in millions. How many years…

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Q: -1 1 x+1 coth - In X = 2 x-1

A: We have to prove coth-1x=12lnx+1x-1

Q: 2. Ho: μ = 5.0 Ha: μ # 5.0 Critical Value: 3. Ho: μ = 67.5 Ha: H<67.5 Critical Value: 4. Ho: μ =…

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a…

Q: Find the following indefinite integral.

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Q: (0.646. 0.5792) | (1.0.3183) (0. 0) (1.0) (2.0) |(1.43, 0) 04 06 08 (0. 0) (2. –0.6366) (1.564.…

A: From the given graphs, f(x)=g'(x) and h(x)=g''(x)because from the graph g(1) has maxima and g(2) has…

Q: In Problems 33–44, determine the maximum number of real zeros that each polynomial function may…

A: We’ll answer the first question (that is 33) since the exact one wasn’t specified. Please submit a…

Q: Find L {(2t" – 3)° } . | O 4(2n)! 2n+1 12(n!) + sn+1 4(2n)! g2n+1 [ 2(n!) 8n+1 O 4(n²)! 12n! 9.…

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Q: 2n+5,3n | in=0 3n+6 s(0z – z)

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Q: 1/2 S x²√1-x²dx. 0

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Q: (x+3)² 25 O Opción 1 (x+3)² 25 (y - 1)² 16 (y + 1)² 16 : 1 (x − 3)² - - 25 Opción 2 (x − 3)² (y+1)²…

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Q: 1+ K(s+4) %3D s(s+2)(s+5) K = - 3+75²+10s %3D s+4

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Q: 9. E (-1)* "´x" 2" 10. n=1 brex" 11. Σ (-1)" 4" In n 12. n=2 onul nsa (-3)" 00 13. У

A: Radius and interval of convergence

Q: Differentiate by implicit differentiation

A: The given curve is,

Q: Маx Z%3D Зx, +5х2+ 4xз 2х1 + 3x2 + 0х3S8 Зx, + 2х, + 4х335 15 + 2x2 + 4x33s 15 Ох,1 + 2х2 + 5х3 S 10…

A: Question: The problem is                Max Z=3x1+5x2+4x3 Subject to…

Q: 31. x - y = In y; (1, 1)

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Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

A: Explanation of the answer is as follows

Q: ,2/3 The critical number(s) of f(x) : is (are) х — 1

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Q: Find the real solutions of each equation. Verify your results using a graphing utility.

A: Given equation is: t4-16=0 Solving we get, t22-42=0⇒t2+4t2-4=0⇒t2+4=0  ;   t2-4=0⇒t2=-4  ;…

Q: Find L {(2 t" – 3) (t +2)} O 2(2n)! n! + s2n+1 6 sn+1 2 (n²!) n! n² +1 sn+1 O 4 n! n! + s2n+1 8n+1 O…

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Q: |2 In x 1 et 2 1 In 2x

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Q: Find L {(2 t" - 3) (t +2)} O 2(2n)! n! -- $2n+1 sn+1 O 2(2n)! s2n+1 n! sn+1 O 2(n²!) n²+1 n! sn+1 O…

A: To find:- L{(2tn-3) (tn+2) }

Q: 4. Compute the exact value of (-1)"(n+2) xn+1 Ln=0 2n+1 (nt1) 100

A: The geometric series formula is ∑n=0∞rn=11-r, where r&lt;1. Break the numerator of the given…

Q: 1. Find two non-negative numbers such that the product of the first squared and the second is 108…

A: 1) Given data:   The given expression for the product of the squared of the first number and the…

Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: ν4-x (h) N(x)=; In|x|–1

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Q: ++31 + 4, if x s-3 f(X) = < 4, if-3 <xs2 x?, if x 2 2 5.

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Q: 00 1. > an-1(x – 2)" + па, (х — 2)п+ n=1 n=0 2. (x + 2) nan(x + 2)"-4 –E nan (x + 2)" n=3 n=1

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Q: Solve for x: 1. x:3 = 8:12 2. 2:x = 10:25 3. 3:4 = 6:x 4. 3:5 = x:25 5. (x+2):4 = 15:20

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Q: Use transformations of the graph of y = x4 or y = x5 to graph each function.

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

Q: 1, thên kX KX < ky

A: Here are real numbers such that if , then

Q: 4-L { X.e is equal to: 40320 40320 40320 P+3)8), (p+3) 9) ,-3 (p-3) 9

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Q: If y = (5x + 1)(2x¯1 – In 7), then y' will be (5x + 1) (금+)+ 5(2x1-In 7) A. B. (5x + 1) (--) + 5(2xt…

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Q: Two real numbers X and Y are chosen at random in the interval (0, 1). Compute the probability that…

A: Selecting two points x and y from the interval (0,1) is identical to selecting a single point from…

Q: 2 뜸 뜸 22 dy O 1-2- 22 = 20 0 x fe 100 1

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Q: Determine s' (x) ifs (x) = x-7 + e-8a O s'(x)=x6 - e-8x O s'(x) = -7x-8 - e-8x-1 O s'(x) = -7x-8 -…

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Q: In+1 Σ S. 3 5 n=1 Vn° +1 8. 8.

A: