Solve the following integral step by step senx -dx ex

Q: given that u = Solve the heat conduction equation д2и ди = 2x2 Әt 0, when t → ∞o, x = 0, x = 1.

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: Question 5 Mrs. Parkes borrowed $6000 from her f month. [Hint: Lesson 2.2] Select all the…

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Q: Solve the equation. dx = 8xt6 dt

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Q: length of arc of the curve y = √x from y = 0 to y = 1/2 A. 0.58 unit B. 0.34 unit C.≈ 0.62 unit D.…

A: To solve the following problems,

Q: Q2) Find and sketch the trigonometric Fourier series corresponding to the saw tooth signal as shown…

A: As per the question we are given the graph of a periodic saw-tooth signal and we have to find its…

Q: n = pQ h0 static is c

A: Given: P=∆h0mηstagnation m.ρQ

Q: Evaluate (+1)(-2) dz where c is iz-11=2

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Given- The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

Q: Use the logical equivalence laws and/or logical reasoning rules to prove that each of the following…

A: (a) The given arguments are                                               p→q∧r¬q→¬r…

Q: y+2y+y=sin x-4e™*.

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Q: Construct a graph with vertices P, Q, R, S, T, U whose degrees are 4, 3, 2, 3, 3, 1 What is the edge…

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Q: Let ß=4 [³][3] and and = are bases for R² -3 a. Find the change-of-coordinates matrix from top. 3 b.…

A: We can write the matrix form of the basis β as A=-34-10 and the matrix form of the basis ξ is…

Q: 11. In the figure, ABCK is a rhombus, ACDF is a square and AKE is a right-angled triangle. AMD is a…

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Q: In( If u = In ди X +y 3x x3+y3 x+y ди ду then find the value of ?

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Q: Fourier Series Periodic function f(x) is defined as below It 24 & (v) when - IT Cuco. {1/ 1 - 2x…

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Q: Find the LU factorization of the following matrices without pivoting 1 2 3 a) A=2 5 4 354 1 -1 1 -1…

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Q: Problem 3: Use secant method to estimate a root for function f(x)= x³ -0.6x² -3.5x+ 3.5-0, starting…

A: Given function is f(x)=x3-0.6x2-3.5x+3.5 starting for interval is [1,3]…

Q: (x2 + y²)dx + 2xydy = 0 ә2u ә2u ә2u = 0 + 0x2 дуг дz2 yy’’ = x = +

A: According to guidelines I solve first 3subparts so kindly request you to repost the reaming…

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

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Q: : x d²y dy dx² dx + +my = 0, given that

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Q: Mention suitable optimization method for a problem with one decision variable. Which calculus…

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Q: Suppose (2) = 1, and suppose f and g are positive measurable Prove that functions on 2 such that fg…

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Q: 13. How many license plates consisting of two letters followed by two number repetition is allowed?

A: To find: the number of number plates.

Q: B. 30. What is the vertical asymptote of the curve y = (3x - 4)/(2x +3)? C. x = -2/3 A. x= -3/2 B. x…

A: I have given the answer in the next step. Hope you understand that

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

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Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: 12. Camy bought three types of fish. The bar graph shows the number of each type of fish Camy…

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Q: Noel has deposited P 52,000 with an interest of 4.5% compounded semi-annually. What is the compound…

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Q: Solve the homogeneous differential equation (z³ — y³)dz — 2xy²dy = 0

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Q: x yy' + 4x² + y² = 0 y(2)=-7, x > 0 This is homogeneous. Solve it using the method of homogeneous to…

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Q: 0, xp + (x - 5)c em of equatio

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Q: This exercise comes from Stein & Shakarchi, ch 2 # 6. Let be an open subset of C, and let TC be a…

A: We use Cauchy-Gaoursat Theorem.

Q: For the primal and the associated dual problems shown below, use the complementary slackness theorem…

A: Given: x1 = 0 , x2 = 4/3 , x3 = 1 Maximize , -4x1-6x2-5x3  Subject to  2x1 +3x3 ≥3 3x2+2x3≥6x1,x2,x3…

Q: 6. Find the Laplace transform of the following functions (b) g(t) = te * sinh3t.

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Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 5…

A: Please see the attachment

Q: Suppose (2)= 1, and suppose f and g are positive measurable Prove that functions on such that fg ≥…

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Q: 3- Find all values of Z such that e²=2+i√√3

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Q: 10 - The value of x²J₁(x) x³ J(x) dx is. x-0 a) 8 (2) b) 81₁(2) c) 8/₂ (2) d. 8], (2)

A: Given integral is ∫x=02x3J0xdx We know that, ∫xmJ0xdx=xmJ1x+m-1xm-1J0x-m-12∫xm-2J0xdx The given…

Q: In this set of exercises, H always denotes a Hilbert space. If M is a closed subspace of H, prove…

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Q: set X. Determine the of 1 x generated by

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Q: 1) a) Evaluate the limit. 1 1 lim 3 x x+3 x-3

A: Introduction: The limit of a function is the base of differential calculus. When the independent…

Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is the domain and…

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Q: Find the coordinates of the point where the terminal side of each angle intersects the unit circle.…

A: In two dimensional Euclidean geometry, there are two different coordinate systems. These are the…

Q: 2y - 3x ≤ 20 4x + y ≤ 200  y ≤ 40 x ≥ 0 , y ≥ 0 From the given constraint above, provide the…

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Q: The following LP formulation represents a transportation problem where raw material (in tons) is…

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Q: show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)

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Q: Define w := 1/2+√³,0 = -1/2 + √5, and 7 := " 1+5. Determine IQ[W,0,7](Q).

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Q: 4. If we do not discuss orthogonal diagonalization, you may omit this problem. Let A be any m x n…

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Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim [₁ sin nx dx = 0. n-∞ JA

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Q: Find the Fourier series (ao, an, bn and the fourier series formula)

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