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Q: True or False. Show your proof. X[n,0) → 0 in L'(R)

A:

Q: meª (In x)-5 Find: What is the behaviour of y as →→ ∞ ? Given: Y- ▬▬▬ Oy -∞ Oy →∞ Onone of the above…

A: Please see the below picture for detailed solution.

Q: Find L-1. by convolutions. l(s-1)².

A:

Q: Find the minimum and maximum of A over a particular interval [0, 6]. A(x) = | s4) dt The graph of y…

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Q: Find the minimum and maximum of A over a particular interval [0, 6]. A(x) = I S1) dt The graph of y…

A: Given : Graph of function y = f(x) and A(x) = ∫0xf(t) dt   To find : Maximum and minimum of A…

Q: bility 0.2. Supposing that there are only sunny or rainy days, in the long run on what fraction of…

A: here given ,  On a Southern Pacific island, a sunny day is followed by another sunny day with…

Q: 2 10 Q(1) Let 4 0 7+x -3 find the value of x that makes det A = 0. 4

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Q: Simpson's 3/8 rule gives exact results for O f(z) = 5+0.25z² O f(z) = 5+0.25z® O f(r) = 5+0.25xª O…

A: Simpson's 38 rule is exact if f is a polynomial up to cubic degree.

Q: 62. a. Show that e>1+x for x > 0.

A: We will answer the first question only as those all are different and we don't answer multiple…

Q: 4. Solve for k s.t. the function is continuous 9 – x2 f(x) = x # -3 x +3

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Q: ntiderivative. 7x x² -x-2 OB. In x + 1|-In x- 2| + c 14 .7 14 In x +1- x +1 In x-2 x- 2 3 3 14 7 OD.…

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Q: 5. Evaluate the integral. x+7 (x-6)(r-2)*a

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Q: 7:PE O is equal to T/4 O is equal to 31/4 lim (2)7 Z-0 z7 O is equal to 1 does not exist None of…

A: We have limz→0(z)7z7 =lim(x,y)→0(x-iy)7(x+iy)7take…

Q: (-1)* x* k! k! k=0 k=0 2k а) 2 (k!)* k=0 b) 1 (-1)*. (2k)! k 2k k=0 d) 0 e) None of these.

A: Expansion of Exponential function

Q: 6* = 214 a. Find x in exact form: x = b. Approximate x, correct to at least 3 decimal places: x =

A: Given equation

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

A:

Q: 25 x; = 11400 and Es, = 330 i=1 The upper control limit for the X chart is The lower control limit…

A: First part, The formula for the upper control bar is: X Double bar + A3 * S bar We see that the…

Q: nson meth x-1 = 0. I

A:

Q: 2n +3 lim 4n+1 =? n O A e O B. e O D. 00

A: From the given problem:   limn→∞2n+3n4n+1   Let,   y=limn→∞2n+3n4n+1   Now taking log on both sides…

Q: 2.25 † Let I" -a" if x + a, f(x) = I-a if x = a, where n e N. Find the value of e that makes f E…

A:

Q: neN's ;i- n(n+1) 2 JKI Ŝ i - n(n+1) لكل

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Q: In Problems 31–42:(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each…

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

Q: How many real-valued solutions over (-1,1) are there to the following ODE? y = x /1- y + y…

A: Given - Given ODE : y' = x1 - y' + ylnlny' + eπxy To find - How many real-valued solutions over (-1,…

Q: 4. lim (3x e*) = %3D 5. lim (3x e*) %3D D

A: Our Aim is to evaluate the following limits given below:-(a)limx→-∞ 3ex x(b)limx→∞ 3ex x

Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

A:

Q: 4 The area under the curve y = 3x* and above the x-axis between I = 5 and x = 10 is: area The area…

A: Area under curve

Q: Along the path x = ey find lim (1,y)→(1,0) y²-6zy 3r-y-3 does not exist O 3 0 2 0 -3 O 2 0

A: Find limitx,y→1,0lim y2-6xy3x-y-3calculate limit along the curve x=eyconcept:- convert limit in one…

Q: Senes anverges diverger. if Aavergent, tnd Hhe sum 2n n t2 to h? + 2n

A: a) ∑n=1+∞2nn+2 here an=2nn+2 using series divergence test if limn→∞an is either does not exist or…

Q: 5. Let X1, X2, .. be iid Exponential (0), and Y1, Y2,....be iid Expomential (20), = min {n :I (X, >…

A: Given X1, X2, .... be iid Exponentialθ, and Y1, Y2, .... be iid Exponential2θ and X's and Y's are…

Q: (2+k)dr Evaluate 1– sec (x+a) 1- sec

A: ∫2+k1-secx+adxTake the constant out=2+k·∫11-secx+adx Now,    ∫11-secx+adxLet…

Q: lim (7,y) (0,0) (4+ (2² + y²) In(x² + y?)) O 00 O does not exist O -0 O 1

A: Recall: Limit of two variables : Let f be a function of two variables .The limit of f(x,y) as (x,y)…

Q: 2- S5olve X" = LX given u =1

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Q: Vx+1 * Evaluate x + 10 x+1 + C V11 22 A 2x+1- tan V11 2/x+1- 9In|x+10| + C B © Vx+1 + C 3 2/x+1-…

A: the given integral is: ∫x+1x+10dx we have to evaluate the given integral.

Q: 6. Suppose an 2 0, and a, diverges. Show that C dn diverges. an+1

A: For the solution follow the next step.

Q: Aciivity 4: Use the Five-Step meihod to determine each of the following areas. 1. Above z =-0.58 2.…

A: Given, Z scores for each sub-part.           To find, 1. Above Z = -0.58 2. Less than Z = 1.96 3.…

Q: 0 < x < 1, So, f (x) = x – 1, 1<x < 2 * (x) = 2 – x, 0 < x < 2 nswer Solution 2. Even Extension -2…

A:

Q: Vã (1 2 In I 1 - x1/2 | + C A In I 1-x/2 | + C -2 In I 1-x/2 | + C B D - In 1 1 -x/2 |+ C O A Ов O D…

A:

Q: Aseaual to A for aparticulo value of K Given. Find K A=[3 KT 4 3- %3D

A:

Q: 3. Truncation error in the equation; with h = 0.2 S'(2) for f(x)=x² by f'(x)=[(x+h)-S(x) h

A: topic - derivative and truncation error

Q: 21. The equation x - 2·* - 0 has a root in the interval A OS x s1 B ISXS 2 € -1s x < 0 D -2 < x s-1

A: Exponential equation

Q: -2 A It is increasing over the interval -3 <x < 4. It is increasing over the interval-2<x < 4. CIt…

A: To find increasing interval

Q: 1 Integrate

A:

Q: 1 What is the direction of fastest increase at (-3, 4, –4) for the function f(x, y, z) = x2 + y2 +…

A:

Q: Dztermine the louent peitve poot of f(x)- 7e* in X-1 O Uing the lecant methool C three iterations…

A:

Q: φ(n) Σ× + Σφ) i=1 d|n Where gcd (X , n) = 1, 1 < X Sn 1 + φ(n) \ n 2 It is not defined in general n…

A: We have to determine the value of given expression : ∑i=1ϕ(n)Xi + ∑d/nϕ(d) , where gcd(Xi , n) = 1,…

Q: h[n] = -8[n +1] + 8[n] + 28[n- 1] * x[n] = 8[n+ 1] + 28[n] + 8[n- 1] %3D - Find output vlnl = x[n] +…

A: Please find step by step solution below:

Q: If  y = tan-1( k x) + tanh-1( k x)  and  (1 - 256 x4 ) = A Then A +k =..........

A:

Q: 4. f (x) = ,x² – 2x – 6 2 4.f (x) %3D %3 х2 — 2х — 6 | Opens up/down: Vertex:. Axis of symmetry:…

A: The point of at which the parabola and its line of symmetry intersect is called the vertex of the…

Q: Detov Mine the integral S 2.2. 2.

A: To determine the integral