4*(x³)dx -1

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Q: Determine the Fourier series of the function below. f(2)=(6-2), -1<x< 1 a) f(x) = 3+…

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Q: Problem 6. Let U = {(x, y, x+2y, 2x − y,x+y) | x, y € F}. Find a subspace V of F³ such that F5 = UV.

A: Recall direct sum is sum but intersection is trivial space {0}.

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Q: 800 700 600 500 400 300 200 100 23. 0 Jan Feb Mar Apr May Jun Ju Aug Sep Exports (Thousand tons)…

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Q: Solve: y(³) _ty=0, y(0) = 0, y'(o)= 1, y " (0)=0

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Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5, x₂ = 1.5…

A: Solution by using the multivariable Newton-Raphson method.as follows.

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Q: Consider the matrix, A = | 1      0     2      0 | | −2    3   −1      0 | | 3    −1     5    −1 |…

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Q: A flower bed is in the shape of a rectangle. It measures 18 ft long and 12 ft wide. Chau wants to…

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Q: Either use an appropriate theorem to show that the given set, W, is a vector space, or find a…

A: Let V be a vector space then W be the subspace of V if au+bv∈W, ∀u,v ∈W where a and b are some…

Q: X6n-2 = r X6n-2 = r n-2 2p+h p+h (2P II i=0 h n-2 2p+h II p+h i=0 (fei+sp + foi+7h) (fo1+39 +…

A: x6n-2=x6n-5+x6n-4x6n-5x6n-4+x6n-7 substitute the values…

Q: Let f(x, y) = (Give exact answers. Use symbolic notation and fractions where needed.) f(x,-2x) =…

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Q: Let A be a subset of real numbers bounded from below. Then, the set-2A = {-2x: x E A} is bounded…

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Q: Problem 2 Fill in the missing parts: a i ΣΣ(0-1-;) i=1 j=1 where k = i + j and the integer a > 1. =…

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Q: Let B = Select all correct options. dim(V) = m. IfC = (w²₁, There exists a coordinatisation map from…

A: from the given data  the basis B has dimension m so the dimension of V is also m  dim(V) = m option…

Q: Exercise 3. Solve the following recurrences by finding (.) evaluations. Show your work. (a) Ti(n) =…

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Q: Find the root of the cubic equation 4.2x³ + 3.3x² – 8.2x − 2.6 = 0 in - the domain [1,2] using…

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Q: Solve the following proportion for y. 11 13 8 y Round your answer to the nearest tenth. 1 X

A: Let us consider the expression ab=cd  Cross multiplication means  a x d=c x b

Q: Let V and W be the subspaces of R³ given below. [-]», V = Span{v₁ = 0 V2 = }, W = Span{w₁ -[8]·…

A: Test their linear independence and spanning vectors.

Q: Show all the working in your scratch paper to receive full credit. If we use suitable Taylor…

A: The Taylor series expansion of  log1+x=x-x22+x33-x44+Ox5         e-x2=1-x2+x28-x348+∴x…

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Q: use Euler’s Midpoint Method with the time step indicated to approximate the given value of y(t)…

A: Given: y'=dydt=cosy+t ; y0=0, h=0.05 We have to find y(0.25) using Euler's Midpoint method.

Q: 1. Determine whether the following subsets of the given vector spaces form a basis: a. {(1, 1, 2),…

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Q: Let g(t) be the function g(t) = Solve: 2t, ostco occe 127 12 y"+y = g(t), y(0) = 0, y'lol = 1.

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A: Given statement: If there are six toppings available , then the number of different pizzas that can…

Q: Problem #2. You want to accumulate $12,500 in 4 years to buy a car. If you have an investment paying…

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Q: Let f(x) = = 1 2022/1-x2022 . Evaluate f(f(f(...(f(2022))...))), where there are 2022 f's.

A: We will find a patter in composition to conclude about 2020 f s

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A: Use the series expansion of cos(x) and evaluate further.

Q: 200a -24b -44c -39d 8e 14f -16g 4h 44i 3j 40a 250b -50c 2d 14e -22f 23g 18h -23i 45j 5a -40b 180c…

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Q: Which logarithmic graph can be used to approximate the value of y in the equation 2y = 3?

A: We have to solve given Questions.

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Q: solve the IVP 4ft = 4 Uxx Utt 11(x 10) = ²x²₁ e ( ( -00o 14₂ (x10) = x èx² xe Any Integrals must be…

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Q: Exercise 1. Suppose t₁ (n) = O(n²) and t₂(n) = O(n²). Encircle in the following list all the…

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Q: Q2 Find all solutions of the cubic equation P(x) = x³ + x² - 2x - (3+√3)=0.

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Q: For each function f below, determine the range of f. Justify your answer in each case by describing…

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Q: 30 Show that 40 divides 2³⁰-24. Show that 31 divides 36 + 15.

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Q: [4xe y + 3 sin (2x) ]dy + [2e-y + 2 cos (2x) ]dx = 0

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Q: What is the correct answer to the following summation: 20 Σ (21) i=10 Recall the formula: n Σ1 i=1…

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Q: The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the…

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

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A: As per the question we are given a 1d gaussian curve : y = e-x² for x ∈ [0, 1] And we have to find…

Q: A 4-partite graph is bipartite. True or False

A: False

Q: Exoress the fractions: 4 over 10 3 over 4 2 over 5 as equivalent fractions with denominator of 20

A: A fraction is the number of the form pq,q≠0. To covert a fraction into other multiply and divide by…

Q: 5. Given the function x+y+2, if x = 1 or y = 1 2, if x 1 and y # 1. Show that fe(1, 1) and fy(1, 1)…

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