Express the given decimal as a percent. 0.3878 %

Q: Given that lim n²(x- 5)" converges by the Ratio test. If x e Z then the numerical n- 00 value of x i...

A: Introduction: The ratio test is also used to test the convergence of a sequence. According to the st...

Q: The power series representation of f (x)=- will be given by 3+x DAŠ Σ (-1)" x" – 3<x<5. n=0 2" +1 O ...

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Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find it...

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: 1. (~pVq) — (р %3D q) 2. (~рлq) V~ (r ) (p = q)

A: To construct the truth table of the given propositions.

Q: 1ons: Solve the following problems. A card is drawn at random from a box of 20 cards numbered from 1...

A: (a). As Multiple of 4 are = 4, 8, 12, 16, 20 Thus Number of favourable cases = 5 Total cards = 20 He...

Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the determinant...

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Q: Ssin'r cos"xde .2 x cos-xdx xp: 4.

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Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

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Q: Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False accordi...

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Q: G. Find the absolute mininmum and absolute maximum values of f(r) - 3r-4r-36r, -3SI5. %3D

A: It is given that fx=3x4-4x3-36x2. We have to find the absolute minimum and absolute maximum over -3≤...

Q: If 72 students which represent 2/3 of the class participated in the Alay Lakad, how many students di...

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Q: Given that lim n2(x- 5)" converges by the Ratio test. If x EZ then the numerical n- 00 value of x is...

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Q: (a) For what values of x is the following series convergent? Σ 00 n=0 (b) Find the value of x that s...

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Q: 1. Using the definition, not the table, find the Laplace transform of the function f(t) shown below....

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Q: 1. Solve the initial-value problem: y' + 4y = e4", y(0) = e -4t (a) Using Laplace transforms. (b) Us...

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Q: Solve this ODE using the Power Series Method (2+x)y'-y=0

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Q: 1. Why we need Laplace Transform. Introduce at least 4 relevant applications of Laplace transfrom. F...

A: We have to find the laplace transform .

Q: .. with n, m, E No for all i e {1,...,r}. Let a = p p... p and b p P (The existence of such a factor...

A: Let a=p1n1.p2n2.....prnr and b=p1m1.p2m2.....prmr with ni,mi∈ℕ0 For all i∈{1,.....,r}. To prove gcd(...

Q: The given differential equation (2D2 + 8D + 3)y = 0 is_ 3 critical damping underdamping overdamping

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Q: The temperature at 6:00 a.m. is shown on the thermometer below. 30 20 - 10 -10- °C What is the tempe...

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Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and ze...

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Q: y" + y = e=t ; y(0) = y'(0) = 0

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Q: Define a recurrence relation and all necessary initial conditions for the following problem: A strin...

A: As per the question we have to construct a recurrence relation for the number of ways to make a stri...

Q: Let D be the open unit disc in C. Lel g: D-> D be holomorphic, g() = () & let (g(2) h(z) = (s'(0) ,Z...

A: let D be the open unit disc in C , WE Using schwartz lemma . WE CHECK OPTION  ONE BY ONE 

Q: Solve the following system of equations using the Gauss – Jordan method: a + 2b – 2b = 9 2a + 3b + c...

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Q: Detremine the Inverse Laplace of the ff: F(s) = 2s - 1 s2 + 4s + 8 show complete solution

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Q: Fifty (50) kilometers of road were allotted to three contractors according to the ratio 1/2 : 1/3 : ...

A: Here the 50km is divided into three contractors in the ratio of 1/2:1/3:1/4 ie., (1/2)x + (1/3)x + (...

Q: Consider the population of bacteria, described earlier. This population grows according to the funct...

A: Given population grow function  of bacteria is as: f(t)=200e0.02t        (1) where t is the time in ...

Q: Consider the group G = Dg × Z/6Z, and let N = Dg x {0}. Show that N 4 G and that G/N = Z/6Z. Now Z/6...

A: Given is a group G and a subgroup N of G. First we use the definition of Normal subgroup to show tha...

Q: (a) The equation of a surface is given as f(a,y) = e"(x* -ay + y*). 1 (x2 (i) Calculate all first an...

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Q: Suppose p, q, andr are propositions. Let the expression (p --> q) -->r be a contradiction. Which of ...

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Q: Series{ 1/n } from 1 to infinity find how many terms are required for the sum to exceed 100

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Q: If A and B are true propositions, and K and Mare false propositions, determine the truth value of* (...

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Q: Solve (using Simplex) the following linear programs: + 4y max s.t. 2x 2y > -1 - + 3y 0 + + 8

A: We can solve this question using simplex method  

Q: The Maclaurin serles for f(x) = x²elz) is: (-2)*z*+2 (b) 00 (e) None (2)-kyk+2 2(k)xk+2 (c) 2kyk+3 (...

A: Any function which is differential then the function can be written in the polynomial  A Taylor  ser...

Q: 6. Let f : A→ R be a continuous function. Show that if A is compact then sup f(A) E f(A). 7. Show th...

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Q: A professor conducted a survey regarding the favorite anime of the students. The following data were...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: Given the set C=(2,4,6,8).Consider the relations R 1 and R 2 defined on C as follow: (x, y)e Rị if a...

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Q: Examine the convergence of the series : (i) 1+x 00 1+ x3 (а + 1) (2а + 1) , (а + 1) (2а + 1) (За + 1...

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Q: 1 е dx x3 2.

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Q: Consider the series § (-1)"+3 n=1 Vn Which one of the following is TRUE? A. None of the choices in t...

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Q: The set of exhaustive values of m for which both roots of the equation x2 – 2mx + m2 – 1 = 0 are gre...

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Q: Hw find the vector whose length is 1o and Sumofit's components 8 is Min imum 9 11 12

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Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the prob...

A: Consider the  number of cream cakes as x then use the given information to obtain value of x.

Q: H.w/ Findthe forthes tand closest paints.ah the sphere x+y+2'=36 from p(l2,2).

A: I used Lagrange Multiplier to solve this. 

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to ...

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Q: Let 4 -2 1 -2 -2 2 6 12 11 2 9 20 10 10 15 28 14 5 4 2 3 A = 6 -4 -6 -3

A: We are given a 5×5 matrix. We have to find the eigenvectors corresponding to all the eigenvalues of ...

Q: 7. Solve the recurrence relation A, = 4 An2- 3-A-1 subject to the initial conditions A, = 5 and A, =...

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