coordinates of the center of gravity of the upper half of the circle: Find the x² + y² = a²

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Q: SOLVE STEP BY STEP THE FOLLOWING ODE IN DIGITAL FORMAT dx e2x+5y when y(0)=0 dy =

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Q: J\~). Question 2: Given the function f(x, y) = sin(x + y), at the point P(π/3, π/4) • What unit…

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Q: Solve the following initial value problem. 2 -2 -2 1 0 1 2 -2 -2 x = X, x(0) : 0 2

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Q: SOLVE STEP BY STEP THE FOLLOWING ODE IN DIGITAL FORMAT y' = 3(y - 10)

A: We have to solve the ODE  y'=3(y-10)

Q: Q1) solve the system Ax=b by using LU factorization. A= [8 8 6 3] [3 1 7 1] [7 6 7 4] [9 6 1 8]…

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Q: Find the differential equation by eliminating the arbitrary constant y=(x+c)e¯* State the dependent…

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Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

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Q: Using the definitions of limit and/or infinite limit, show that if limn→∞ sn = ∞, then also limn→∞…

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Q: (b). Using your diagram, or otherwise, explain carefully why 4 ≤ 2² ≤ 89 for all z on C. S

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Q: What is the reflection rule for the triangle and image with coordinates A(9,12),B(-2,-15), c(3,8),…

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Q: If f:[-5, 5 ] to R is a differentiable function and if f'(x) does not vanish anywhere, then prove…

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Q: Calculate limits using the arithmetic of limits (if it exists): (-1)" - 2 n√4n+2 (d) lim 84x

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Q: Let W be a subspace of M2x2(F) consisting of the symmetric 2x2 matrices. Please find a standard…

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Q: Let A, B and C be

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Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

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Q: The growth of a population of a fishpond is proportional to its current population. A pond initially…

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Q: (c) Find the value of √a²-x² Sa giving your answer in terms of a. 1+ 2(x + y) x² + y² dx dy,

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Q: Prove that the function f(x) = sin r x¹/3 is absolutely Riemann integrable over [0, 1].

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Q: (b) (bn), where bn := n (1 +212) " for all n € N. Hint: Consider bn.

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Q: a.) Use long division to rewrite the function f(x) = 6x−3/2x+1 as the sum of a constant and a…

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Q: Consider the ordered bases B= a. Find the transition matrix from C to B. TB [M]B = =62][3][3]…

A: First we will find transition matrix solving following linear equations by row operation.

Q: Use Cylindrical Coordinates. a) Express the Integration Domain. b) Evaluate the Tripple Volume…

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Q: Bob makes his first $1,700 deposit into an IRA earning 7.4% compounded annually on his 24th birthday…

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Q: For the following integral, reverse the order of integration and evaluate the integral. 1/4 1/2 SS…

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Q: Suppose that A and B are two sets. (a) If n(A ∪ B) = 22, n(A ∩ B) = 8, and n(B) = 12, find n(A). (b)…

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Q: Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

A: Given: limn→∞ 6n2-2n412n3+2n2-17n   Property (i) limn→∞f(x)g(x)=limn→∞ f(x)limn→∞ g(x)    ,…

Q: X a) Sketch the graphs of y = + 1 and y = ²2/4 + 1 on the following axes.

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Q: 20 7. Consider the sequence 1, 3, 2, 1, 2,. a) List the next two terms of the sequence. Enter…

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Q: Let X = {s, t, u, 8, 9, 10), Y = {t, v, w, 8, 10, 12), and Z= {t, v, 9, 10, 12). List the members of…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

Q: 1. Find the mass of the solid E bounded by the cone z = √² + y² and the plane z = h if E has density…

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Q: 2. 5 103i IS Σ rational or not? Justify your answer. i=0 What about 5 103⁰ ? Justify your answer.…

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Q: 4. Prove that, for any vectors A, B and C, a necessary and sufficient condition that A x (B x C) =…

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Q: Consider the function: f(x,y) - 3+22 What is its degree of homogeneity? Enter an integer, and enter…

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Q: Find (i) the intervals on which f is increasing and decreasing (ii) local extema of f (iii)…

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Q: Let y = f(x) be a function differentiable on R with f(0) = 7. If for every x € R, we have d -f(x) ≤…

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Q: Let denote the vector space of polynomials in the variable x of degree n or less with real…

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Q: given function then derivative Now dz dr dz d४ sing rcass-38³ He Have to find it's dz dr = dz 5 = 5…

A: We have to transcribe the given text in the digital form.

Q: 3. Let f(x, y, z) = xyz, g(s, t) = (3s + st, s, t), and F(s, t) = (fog)(s, t). Evaluate DF(s, t)…

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