The series If lim an = 1/π, then an diverges. np will diverge only when p € [−1,1].

Q: if y= 3t^2+t+2, x=(2t-3)^3 then dy\dt= 6t+5 false true

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Q: Q1) One of the following is correct for functions the f(x) = 1, g(x)=x³ and h(x) In(x) a) f(x).g(x)…

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Q: Activity fre Cu dece Activity A wof work analysis |<<e B E F GEF C₂D 1

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Q: given Activity A & JOH 4 $ D E F G precedence activity IE, F Find critical path 1 ¢ A A B CD

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Q: 2. Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, 2² + y²

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Q: (a) Use the given information to write a system of linear equations for x, y, and z. (b) Convert…

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Q: 7. Sara wants to show that (a × b) × c = a × b × c). Yasmina says that it is impossible and comes up…

A: Check whether the given set of vectors a→=1, 1, 0, b→=1, -1, 0 and c→=0, 0, -1 satisfy the…

Q: Equation y=(x-2)² + 1 y = (x+4)² +6 y=(x-4)²-1 VERTEX FORM OF A QUADRATIC RELATION "k" value and…

A: As per guidelines we are supposed to solve the maximum three sub parts at a time kindly post another…

Q: QUESTION 2 Use the Gauss- Seidel method to solve the following system to a tolerance of ε = 0.001.…

A: Gauss- seidel method is an iteration method used to solve a system of linear equations. A set of n…

Q: * limt (x-sinx)\ x+1 10 log x^2+3 O 0.5

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Q: 14. By use of calculator and sketch graphs, find all possible solutions of the trigonometric…

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Q: Question 5 (a) Express the permutation (2 4 5)(1 3 5 5)(1 2 5) as a single cycle or as a product of…

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Q: Which of the following functions is entire? For each, justify. 1. f(z) = 2(32) 2. f(z) = (x² - y²) -…

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Q: A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk…

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Q: Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, ² + y² = 4.

A: We have to find the centroid of the thin plate.

Q: 1. Show that the set {5, 15, 25, 35] is a group under modulo 40. What is the identity element of…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Write an equation for the function whose graph is described. The shape of f(x) = √x, but shifted…

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Q: Find the value of c for which the area enclosed by the curves y = c - x² and y = x² − c is equal to…

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Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: -1 2 1 -2 1 1 1 Let P = and P = B-A -1 -1 -2 2 C-A -1 2 2 4 The change of basis matrix P would be:…

A: I have calculated Inverse separately below

Q: The population of a certain bacteria follows a logistic growth pattern. Initially, there are 10 g.…

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Q: Use the definition of Riemann Integrability to show that if ƒ € R[a, b], then cf € R[a, b] for any…

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Q: All polynomials are Riemann Integrable on any interval [a, b]. All bounded functions on [a, b] are…

A: This is a question from Reimann Integration and Darboux Integration.

Q: c) W (f(x), g(x), h(x)) = 0 Q2) L-1 a)-2coshnt b)-2sinhnt c)-2cosnt d)-2sinnt Integrating factor…

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Q: (a) Given the set T = {0, 1, 2}, together with an operation *. Suppose that the identity is 0.…

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Q: 84. State four points where cos.x = infinite number of these points? NIK 2 Why is there an

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Q: Consider

A: We prove given converse of given statement.

Q: A club recruit members either through active recruitment by its current members or through…

A: Given that the club recruits members as follows: 1. By its current members. 2. Through advertising…

Q: The slope of the tangent line to a curve at any point is (5x² - y) ex+y If the curve passes thru…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [07- 7i- 8tj + In(t)k) dt.

A: Given the integral                    ∫(7i-8tj+ln(t)k) dt

Q: Consider the function f(x) = x³ + 2x + 5. 1. Estimate the root to two significant digits using…

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Q: Find the limit. lim t-3 √/3-ti + In(t)j-1k)

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Q: 16. Find the nth term of the quadratic sequence 9, 18, 33, 54, 81

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Q: where the contour C is closed and in counter- unontal Theorem of Independent of Path and Morera's…

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Q: Let A = {1,2,3}, X = {1,3}, and R is a relation on A, such that R = {(x,y) | x<y^x, ye A} R"X =…

A: We have to solve given problems:

Q: ompute the following integral, with poles and emainders.

A: compute the integral using residue theorem

Q: 1 (x²_92)³ A dx

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Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

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Q: Write equations of the lines through the given point parallel to and perpendicular to the given…

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Q: Q1 The equation y = 2x describes a line in the plane. Which of the following mathematical…

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Q: 6. Find the non-trivial solutions of the following homogeneous system: 2x + y + 3z = 0 x-3y2z = 0 3x…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Some amusement parks have a double Ferris wheel, which consists of two vertically rotating wheels…

A: As per Company guidelines we are allowed to only three sub-parts so i am first three sub-parts.…

Q: Given the f(x)=xln(x)+sin(x), find the area under the curve from x=2 to x=3 using: Riemann Sum.…

A: We have to find the area using Riemann sum and trapezoidal rule.

Q: State the first isomorphism theorem for groups and use it to show that the groups/mz and Zm are…

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Q: Q1) One of the following is correct for functions the f(x) = 1 g(x)= x³ and h(x)= a) f(x), g(x) and…

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Q: (b) f(t)=t-2 [Hint: write as a piecewise function!]

A: Here f(t)= |t-2|  We find Laplace transform of f (t).

Q: Q18) The formula of the particular solution yp of y) + 4y"=3 sin(2t) - 5cos2t, is: a) y₂ = Asin(t) +…

A: The particular solution to be assumed for the functions to solve the differential equation using…

Q: I) III) a) b) c) d) II) -5.01 -25- 0.0 2.5- 5.0 IV) 501 -25- Ra 0.0- 25- 50 -2.5 0.0 2.5 5.0 -5.0…

A: We can solve this by using given information and draw this function

Q: 47 87 45 19 of the parent pea plants involved. Tal enotypes s dominant to white (w)

A: A dihybrid cross is a cross in which two traits are involved.  As per the data , two traits are :-…

Q: use your own words to describe the steps of the method of mathematical induction

A: We have to write the steps for method of mathematical induction