Evaluate the derivative of f(x) = (arctan(x))4ª

Q: 4. y"+y = √2 sin √√2 t, y(0) = 10, y'(0) = 0 Ans. y = 10 cost + 2 sint-√√2 sin √√2t

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A: Given Information:a) ;; .b) ; .To find:The value of  in both the sequence of functions.Concept…

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Q: Force F = -5yi + 8x j a

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Q: Q(t) = Find an antiderivative of q(t) = (t + 1)³

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Q: Solve the differential equation y(t) = y'' + 4y = √(t − 4), y(0) = y'(0) = 0. ,t 4

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Q: Find the change of basis matrix [] and use it to find [v]• B -17] 2 0 --{@@@}-E -2 4 4 B 1 2 = -71…

A: Given Information: and To find: and Notation used: denotes the change of standard basis matrix with…

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Q: (i) Write the following permutations in S9 as a product of disjoint cycles 1 2 3 4 7 298 5 6 7 8 9…

A: Given  f  can be written as a product of disjoint cycles as                 f = (1  7) (3  9  5) (4…

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A: The given matrix is

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Q: Problem definition: Beaver Creek Maximization problem Product mix problem - Beaver Creek Pottery…

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Q: 1 3. Graph f(x)= x3+4x² - 7x - 10 totes, domain, range). and identify all key characteristics…

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Q: Exercise 10.2.2 Finish the proof of Proposition 10.11, i.e., prove that if T:VW is a linear…

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Q: 2. Determine the Laplace transform of the given function a) f(t) = e³¹t4 b) f(t

A: Laplace transform

Q: 3.1 An airplane heads due north at 650 km/h. It experiences a 60 km/h crosswind flowing in the…

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A: Given is a function To Find: Upper Riemann sum and lower Riemann sum and find the area of the region

Q: 21. Let G be an abelian group with subgroup H. Let G/H be the set of cosets of H in G. Define…

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Q: Solve the given differential equation subject to the indicated conditions. y" - 2y + 2y = 0, y(π/2)…

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Q: 2. Assume that Σak <∞, prove that are converges uniformly on [-1,1].

A: We are given that ∑|ak|&lt;∞ , which means the series of absolute values of the coefficients…

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Q: find the monthly mortgage loan payment for a $174,000 loan at 2.2% for 30 years.

A: The objective of this question is to calculate the monthly mortgage payment for a loan of $174,000…

Q: 1. Use strong mathematical induction to show that any postage of at least 18¢ can be obtained using…

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Q: True or false: if (x) converges, then every subsequence (x) is Cauchy. n=] k=1

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Q: 2 tsh + ₂ s it se + laplace transform 5+6 -4 Inverse

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Q: f the eighenvalues are -1, -1 and 2 , obtained from (2-λ )(λ +1)^2=0 , then what are the…

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Q: 3. Consider the function y = log.(x). A. What function is the inverse of y = log(x)? B. Give exact…

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A: Graphical method

Q: Consider the graph of y = y 2 1 -1 1 f(t) dt, where f is a piecewise constant function. Az 2 3 4 5 X…

A: Given that the graph of  where f is a piecewise constant function:                      .

Q: Suppose f is differentiable and f' is increasing on an interval (a, b) (that is, f is concave-u…

A: is differentiable and is increasing on an interval .We have to show that  is convex.

Q: 1. If 0 ≤ b ≤ 2, for what value of b is (A) 0 (B) 0.452 (C) 1.145 (D) 1.550 (E) 2 So cos cos(e) dx a…

A: The given problem is to find the value of b for which the integral is minimum.Given integral,, where…

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Q: 2. In a vector space V with inner product (,), the vectors u and v are orthogonal and ||u|| = 3 and…

A: Given thatIn a vector space V with inner product , the vectors u and v are orthogonal and We have to…

Q: Given the differential equation y'' + 49y = 4e¯4t, y(0) = 0, y'(0) = 0 a) Apply the Laplace…

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Q: Consider the sequence Xn = We wish to prove that xn → 0. Given € > 0, we must find N EN such that…

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