QI Find lim r tan(x)cos(x) O 2 O 2 O 0.5

Q: Ex. 1. Obtain the formal expansion of the function f(x) = TX – x, 0SXST, in the series of…

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Q: Define linear dependence and independence of vectors. Examine for linear dependence [1, 0, 2, 1],…

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Q: 12. Find the positive root of x2 +2 Inx – 4 = 0.

A: Q12 asked and answered.

Q: Given 7 f(x) dx = –10 f(x) dx = 8 7 6. g(x) dx = –1 g(x) dx = -8, %3D compute the following…

A: We want to find given integral

Q: Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an…

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Q: Find the number of different signals that can be made by arranging at least three flags in order on…

A: find different signals

Q: Consider all numbers between 20000 and 70000. Efficiently determine: A) How many of these numbers…

A: Part A - Let’s represent the number as ABCDE. You have to considere the special cases first, since…

Q: 1 d 1 d a a det 1 = -5, and det b = -1, e e 1 f 3 f then a 2 d det b 2 and e 2 f. a 1 d det b 4 e 7…

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Q: O If z-frxy) show that つる

A: As per our guidelines we are supposed to answer only one question. For the solution of the problem…

Q: 2_dy -y? =2xy dt

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Q: Let there be the random vector Z E R"m Prove that E (||Z||) = tr(E[ZZ"]) %3D From the expression…

A: As per the question we are given a random m dimentional vector z , and we have to prove :…

Q: The Joint Distribution of the Minimum and, Maximum EX2: PYoof FX X(n) (x, y) = P(X(1) < x, X (7) y)…

A: Here, the assumption must be X1 , X2 ,. . . . . , Xn all are iid variables with cdf F.  Then, FX(1),…

Q: Consider the topology T = {X,Ø, {a}, {c, d}, {a, c, d}, {b, c, d, e}} on X = {a, b, c, d, e}, and…

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Q: Problem No.1 Let A=1 -2 3] and B= 1 3 Find AB and BA -4 2 5 -1 0

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Q: d) If A and B are 4 x 4 nonsingular matrices such that |2A¬'B²| = 32, then |4| = 8 e) Let S =…

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

Q: Let X have pdf f(x) = e-X /(1+ e -X)2 −∞< x < ∞ Show that Y = 1/(1+ e -X)has the uniform…

A: The complete solution is in given below

Q: se the method of undetermined coefficients to solve the initial value problem. y" + 4y = 1 + 8e',…

A: Method of Undetermined coefficients  We have to find general solution of given differential…

Q: a baker calculated the cost of ingredients for a bran muffin at SO.37 and wanted a 40% food…

A: Let us take the selling price of a muffin as x.

Q: Question 1 Question 5 Find the solution. (4D4 - 4D³ - 3D² - 2D + 1)y = 0. Find the solution. (D³ -…

A: 5 Therefore the correct option is (B)

Q: II. Cylindrical to Spherical 6. (12, 45°, 12)

A: Conversion of cylindrical coordinates to spherical coordinates

Q: Solve the diff. equ.

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Q: Find the solution. dy 2y - =x?y%sinx dx 1 A y = x2(sinx – c) y = x²(cosx+c) 1 y = x²(cosx+c) 1 y x (…

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

Q: PATTERNS EXERCISE QUESTION 1 For each of the following sequences: A.1; 3;5;7;... B. 4;1;-2; -5;...…

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Q: 6 4 Find the Inverse Transform of F (s) = s s-8 s- 3 A f(t) =6+e-8t – 4e ³ B f(1) = -6+e + 4e ¬3« C…

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Q: dy Sketch the vs. vs. y graph. dt

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Q: For the function y = x*eX, calculate the value of y for x = 0:0.001:10 Ymax = Ymin

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Q: Question 4 Which is the length that is the same as 112 feet. Group of answer choices 1 meter 1 yard…

A: 4 Given that 112 feet. We have to find the length that is the same as 112 feet. We know that 1…

Q: for the multiplier effect. If government spending increases by 168, determine the change in…

A: We have to find total differential.

Q: Q1: Find the inverse Laplace for the following functions S 4 (a) F(s) (b)F(s) L2s2 +n²n² s2 -25-3

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Q: Classify groups of order 2p as best as you can. Give a proof for your assertions and, when…

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Q: 2k exp (-) is 1. (e* – e³). 2. (e -e) 3. (e-e²). 4. None of the above 2.

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Q: 3. We learned in class that for a given A, the f(r) that minimizes the cost function E(i - S(z))² +…

A: Given: The function fx is a natural cubic spline with knots at the unique values of the data points…

Q: y' = 2メー1 2 e

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Q: 2. (a). 3.

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Q: An animal population N(t) is modeled by the differential equation * = 0.00005N(N – 200).If N(0)=A,…

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Q: Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) = b Find the solution. A y(x) =…

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Q: Gauss Jordan Elimination 3x + 4y + 2z = 1 x + 2y + 3z = 4 2x + 3y + z = 4

A: Given equations are3x + 4y + 2z = 1x + 2y + 3z = 42x + 3y + z = 4

Q: An animal population N(t) is modeled by the differential equation * = 0.00005N(N – 200).If N(0)=A,…

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Q: Find the laplace transform of f(t)=2t^2 e^-t - sin^2 t

A: We have to find the Laplace transform of f(t)=2t2e-t-sin2t .

Q: Find the equation of the tangent line to the polar curve r = 3 + 8 sin θ at θ = π/6. Note that…

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Q: Find the Laplace transform of 6e5 cos2t - e7: 6(s-5) A (s- 5)2+4 s-7 (s- 5) (B) (s - 5)2+4 s+ 7 6s…

A: We have to find the Laplace transform of f(t) = 6e5tcos2t - e7t

Q: Applications of Differential Equations of Second Order The differential equation satisfied by a beam…

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Q: 19. It is the collection of all outcomes that are elements of both of the sets. * Union of Events…

A: Intersection of Events: The intersection of events A and B, denoted A∩B, is the collection of all…

Q: Examıne tne jollowing vectors for linear dependence and find the relation if it exists. X, = (1, 2,…

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Q: Who was the Winner by the BORDA-COUNT METHOD? (AJB) = 5, (BJA) = 4, (JAB) = 4, (BAJ) = 2 A- Amber В…

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Q: Find the perimeter. Use 3.14 for n. (Assume d = 4.05 ft.) %3D ft d

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Q: Compute for a real root of 1 2 cos Vx – sin vx = accurate to 4 | 4 significant figures using…

A: 2cos(33)-sinx=14;   x0=π f(x)=2cos(33)-sinx-14 f(x)=0 ⇒2cos(33)-sinx-14=0 x=cos-11214+sinx3=ϕ(x);…

Q: Consider the space P2 and consider the vectors B ={ 1 + 2t +2t2, 3+5t +3t2,-2-3t} and C = {1,t,t2}.…

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Q: Find the general equation of the plane perpendicular to the line z – 2 y + 4 1- x = 3 and is 3…

A: We have to find the equation of plane.

Q: The characteristics of local rings is either 0 or prime.

A: Let R be a local ring (with 1). Suppose char R = n ≠0. Let, if possible, n be divisible by two…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.