Determine whether it converges or diverges. You must provide justification for your answer. sin(x) dx. 1

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A: Fermat's Little Theorem:- It states that if p is any prime and a is any integer then, ap≡amodp    i....

Q: -5 5

A:

Q: b) Find the inverse ztransform of the following: i z's zl2|sin 3 2(2/2/cos 3)z+|2/F] zz(z*+4z+1) 1 (...

A: We will use the basic knowledge of the theory of z-transforms to answer all the three subparts of th...

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Q: Solve the system of congruence 3x + 7y = 10 (mod 16) ( 5x + 2y = 9( mod 16) . Hint: Eliminate x by m...

A: Given system of congruence is  3x+7y≡10(mod16)5x+2y≡9(mod16) we have to solve this.

Q: Q1. If 0. 11 was approximated by 0.09, then a) Find the relative error. b) Find the relative error p...

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts...

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Q: If f is bounded and integrable on [a, b] such that | f(x) | 0).

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Q: 11) Evaluate [[sin (y') dA , R: the region bounded by y =- Vx, y=2 & x=0

A: To find- Evaluate ∬Rsiny3 dA, R: the region bounded by y = x, y = 2 &amp; x = 0. 

Q: 0.0 0.2 0.4 0.6 0.8 T)-5 -4.972 4.856 --4.604 -4.168

A: Consider a function fn tabulated at equal intervals. The forward difference for the function fn is d...

Q: 37. (s + 7)2 21 39. (s + V24 TT 41. .2 s + 107s + 2472

A: First shifting theorem is also known as s-shifting

Q: (3, 6) (1, 4) 2 (0, 1) (0,0) 4 8 6, 2.

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Q: -Consider the problem of approximating the value of V3 as a root of f(x) = r2 -3. (a) Calculate an a...

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Q: a. Find domain of g(x) and h(x). b. Find (f + g)(K +F). c. Find (h of-1)(x) in simplest form.

A: As per the company rule, we are supposed to solve only the first three subparts. Therefore kindly re...

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Q: 2. Find the equation of ellipse given the following parameters. Show your solution (a) Center at the...

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Q: Let C be the boundary of the region r² + y° <1 and (r + y)² < 1 which is oriented counter-clockwise ...

A: To find- Let C be the boundary of the region x2 + y2 ≤ 1 and x + y2 ≤ 1 which is oriented counter-cl...

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: Show complete solution using row operations. Use variable "s" to denote a free variable in case it e...

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Q: Determine the center Z(S) of S.

A: This is a problem of Group Theory.

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A: A rectangular prism is a polyhedron, such that opposite faces are congruent rectangles. In this prob...

Q: In how many ways be keo arrangedn ciscle? O that 15 cars many ways 15 of 20 cars a 9. can be soladou...

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Q: (Practice on Logarithmic functions) What is log264? What is log100.1? Is log2ab = log2a + log2b? ...

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Q: 2. Consider the problem of approximating the value of v3 as a root of f(x) = x² – 3. (a) Calculate a...

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Q: 54. If s, is the kth partial sum of the harmonic series. prove that In(k + 1) < S < 1 + In k. Hint: ...

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Q: A coordinate system showing the real and imaginary axes for the representation of a complex number. ...

A: Solution :-

Q: For each of the following problems, perform these steps: • Write the dual problem for the problem as...

A: Dual Problem for the given LPP:   min z=5x1+2x2+5x34x1+2x2+x3≥12-3x1-2x2-3x3≥-6x1≥0,x2≥0max z=12w1+6...

Q: 3 and A? – kA – 5I 1

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Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

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

Q: Z3

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Q: Let G be a group with |G|=187 then every proper subgroup of G is: * O Non abelian O Non cyclic O Cyc...

A: G is a group and G=187.Let H be a proper subgroup of G.

Q: 6. Find all tu roots for each espression. (a) (-2+ 2i) (b) (-3) (c) (2i)

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Q: а. Show that the set S of all symmetries of an equilateral triangle form a group under composition o...

A: We will use the basic knowledge of group theory to answer this question. Note that although you have...

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Q: 1) Write the adjacency matrix of G 2) Enter your adjacency matrix on Pari (or other software) and us...

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Q: Solve for x.

A: Given,      

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A: The value of  z depends on q, therefore it can not be independent variable 

Q: Question 4. Suppose that H and K are subgroups of a group G and there are elements a, b e G such tha...

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Q: Juan De Mesa borrowed P50k at 2% per month payable in 36 equal end the month payments. a. How muc...

A: Juan De Mesa borrowed 50,000 at a interest rate of 2% payable in 36 equal end of the month payments....

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Q: Check whether the following differential equation is exact. (6ye-3z + 3x)dx + (5y – 2e3")dy = 0 Then...

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Q: (22)8

A: Solution

Q: Find x if the vectors a =i+j+ 2k;b = xi-j+k; coplanar or linearly dependent.

A: Given,       a=i+j+2kb=xi-j+kc=3i-2j-k

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Q: . Find the volume of the following figure. If needed, round to the nearest hundredth. 134,073.33 m3 ...

A: Given: l=52 m w= 91 m h=85 m volume=l×w×h3

Q: 15. 16. 0.5- 2

A: