Calculate the arc length of the entire cardioid r=a(1-cos).

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Q: 5 Solve your given pair of complex numbers placing them on an Argand diagram. A=2+13 B=3+1/2 C=3-12…

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Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

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Q: Consider f(t)= 3t, g(t) = 4t². Proceed as in this example and find the convolution f g of the given…

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Q: 3 The volume of the rectangular right prism alongside is 48 cm³, the length is 2x cm, the width is x…

A: A right rectangular prism is a solid three dimensional prism with the angle between two edges is…

Q: Which of these numbers cannot be a probability? O 20% O 1.001 O 0.5 0 1 QUESTION 47 n a class of 40…

A: Line M and N are  parallel

Q: :) = { = k₁ f(x) = -2<x<0 0<x<2

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Q: 17. y" + 4y' + 3y = e³¹-³u₁ (t); y(0) = 0, y'(0) = 0

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: Find the inverse Laplace transform for 8 (a) F(s) = -2 (8²-28+5) (b) F(s) = 420 (8-1)(s+4)²

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Q: √x-2 Q.3 If f(x)=- - Find (x²-x+1)² (a) The intervals on which f is increasing, (b) The intervals on…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: (b) An edge of a connected graph is called a bridge, if removing this edge makes the graph…

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Q: Consider the sequence 30, 42, 54, 66, ..., 12n + 6. a. How many terms are there in the sequence?…

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Q: Show the first few steps (as indicated below) and the final answer in evaluating the given…

A: Since you posted multiple question, we will solve second question. Kindly repost other questions as…

Q: Let {fx: λ € A} be a c F,μ). finite, then {f: A E A} is UI. sup{f|fx|¹+duAE A} <∞oj JI. <ga.e. (u)…

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Q: 4. The current i(x, t) along a submarine cable of length L satisfies ixx RCi 0<x<L, 0<t = di -(0, t)…

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Q: 6 a. Sketch the labelled curve made by the pair of parametric equations over the interval 45154 x =…

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Q: L-¹ 1 {3²-45+8}

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Q: 3. Prove that if m is a positive integer and x is a real number, then 1 2 m 1 [mx] = [x] + \x + = |…

A: The greatest integer function is one of the most important real valued number theoretic function.…

Q: Which of the following lengths could NOT be the sides of a triangle? O 5,12,8 O 9,11,15 O 8,10,20 Ⓒ…

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

Q: Find the root of the equation

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Q: The value of a collectible toy is increasing exponentially. The

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Q: Consider a large vat containing sugar water that is to be made into soft drinks (see figure below).…

A: (A) Frame the differential equation as per the given situation.

Q: 5) lim (x³-4x+5) X.

A: Given limx→-∞x3-4x2+5

Q: . Let f(x+iy) = u(x, y) + iv(x, y), where u : R² → R and v : R² → R are defined by u(x, y) = x +…

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Q: dx de X = X(t) defined implicitly by 62 +62 V X In(t) = ext. Also evaluate dx at dt (tox) = (1,1).

A: Given 62+62xlnt=e62xt

Q: Q3: Solve by the Laplace transform, showing the details and graphing the solution: 31. y" - y' - 2y…

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Q: Exercise 0.3.23. (a) Prove that the function f(x) : = vex over [0, ∞). 1+ex is strictly con-

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

Q: 5. (*) Let V be a vector space over F and let U be a subspace of V. Define a relation ~on V by…

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Q: Your turn A Honda Accord depreciates at 15% per year. Six years ago it was purchased for $21,000.…

A: The formula to calculate the amount after depreciation is obtained as follows: At=a1-r100t

Q: answer 5c obly

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Q: Question 20 Solving manually, the equation f(x) is given as x³ - x² + 4x - 4 = 0. Considering the…

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Q: (ii) slatch the following spherical equation 0 1 ad (її) жетси the Tollowing spherical equation of=1…

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Q: [Q1] For the following continuous pdf, find: (a) F(X), (b) P(X > 1000), (c) E(X), (d) Var(X). IT…

A: Theory : Formulas, CDF F(x)=∫-∞xf(t)dt P(a&lt;X&lt;b)=∫abf(t)dt E(X)=μ=∫-∞∞xf(x)dx…

Q: What is the solid body surface area formed by rotating the given parametric curve around the y-axis?

A: Given x=costy=sint+t0≤t≤π2

Q: The bisection method of finding roots of nonlinear equations falls under the

A: Method of bisection The method is classified as a bracketing method because it is based on locating…

Q: Find root of equation by using newton raphson for 3 decimal point F(x)=x^4-8sin(e^x-x^2)

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

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Q: What is Standard Error, and what does it mean?

A: The standard error is a statistical term that measures the accuracy with which a sample distribution…

Q: (1) Find all subgroupsof (Zs.+s).

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Question 21 Find out the root of x- sinx - 0.5 = 0 between 1 and 2 using Bisection Method. Show your…

A: Root of x - sinx - 0.5 = 0 between 1 and 2

Q: Hi

A: Answers are correct and explained

Q: CON Change PT... Global warming not used yet Lesson 5-3 8 23 AGDK has vertices at G(-5, 3), D(-7,…

A: Two lines are perpendicular if the product of slopes of the lines is -1.

Q: An area is bounded by functions f1(x) from above and f2(x) from below. The numerical samples from…

A: Given: 38 numerical integration rule. To find: Area

Q: Find the solution of the sequence of Fibonacci numbers satisfy the relation fn=fn-fn-2 with initial…

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Q: Tick the true statements. Every linear relationship is an example of direct proportion. If the…

A: Since, you posted multiple questions we will solve first 3 parts for you. Kindly repost other parts…

Q: 17. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 0

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Q: 3) L-1{}.} } = L {{}L'{}

A: Please see the attachment

Q: Given any Hermitian space E with › E, if (f(x), x) = 0 for all x € E, th I

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Q: 7. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace…

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Q: 3. Proof by construction: (a) Prove that there are integers such that a² | b³ but a fb. (b) Show…

A: (a) Let a =8 and b=4Then a2 = 64 abd b3 = 64   a2b3     → but  a|b.Hence the result is true.   (b)…