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Q: 28 COMPLEX INTEGRALS rate counterclockwise around C. (Show the details.) tan : , C: \z| = 1

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Q: Use the Laplace transform to solve the initial value problem y" – 2y' – 8y sin 3t, y(0) = 0, y'(0) =…

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Q: 22. Find the function for a parabolic arch that has a base length of 24 feet and a height of 36…

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Q: Fi 14)

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Q: Consider the four intervals [a, b], (a, b), (a, b], and [a, b) whose endpoints are a and b. What is…

A: Consider the four intervals [a, b], (a, b), (a, b], and [a, b) whose endpoints are a and b. What is…

Q: Write f (x) as a power series and give the interval of convergence 6 f(x) = 1+ 7x+

A: Power series expansion and interval of convergence

Q: H.W: which series converge and which diverge, and if a series converge find its sum: 1. Σ 3 2. Σ- 2"…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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Q: Which set of data is correct for this graph? Domain Range yeR -8 sy Set Axis of Symmetry Vertex A.…

A: General equation of a parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2 Vertex is at (h,k) and axis of…

Q: y Suppose E (A, B) is controllable. Suppose a change of basis is performed so that we obtain a new…

A: As per the question we are given a controllable system as : ∑ ➞ (A, B) And after a change of…

Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

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Q: Let f: R2 → R be a function given by x²–y² if (x, y) # (0,0), f(x, y) = if (x, y) = (0,0). Using…

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Q: Calculate 1₁ ₁² ² a feas = e¯² ds for the piece of the cylinder x² + y² = 16 for 0 ≤ z ≤ 7.

A: we have to find the ∬Se-zdS for the piece of the cylinder x2+y2=16 for 0≤z≤7

Q: Confirm that the force field F(x, y) = ye"y i + xe"j is conservative in some open connected region…

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Q: 1. Find the saution YLEA oR Ele tntifial Value poobem y"-8y'+16y=8e*, yr0)=3,4'101=2,

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Q: If A=2(1-cos 0)â, – pyâ, (1– cos ¢)â, – ppâ, +zcos² þ⸠, what is 4 8. V•A ?

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Q: 1. Find the domain and range of the following: 1 (a) f(x, y) = y – x² (b) g(x, y) = 9 – x² – y? (c)…

A: As per guidelines we experts are allowed to solve one problem at a time. please reupload the second…

Q: A Power Set is the set of all subsets of A, and is denoted as (A). As an example, let A = {1, 2}.…

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Q: Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, üz of the symmetric matrix 12 A =…

A: Given matrix is A = 12-9-9-12

Q: Find sine half range for f(x) = \cos x for -t< a <n %3D cosx for f(x) for 0<x <n. cosx

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Q: What is the correct quadratic function for this parabola? 2+ 1+ -3 4 A 3 4 -3 + a. fx) = (x+ 2)(x-…

A: Explanation for the correct asnwer The intercept form is y=a(x-p)(x-q), where p and q are the…

Q: Expand (x + 4)(x – 5) and use this answer to write down the quadratic equation in the form ax2 + bx…

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Q: Evaluate F. dr along the line segment C from Pto Q. F = -8 xi+5y j; P(-1,0), Q(7, 0) F. dr i

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 3 b = 2…

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Q: 10. Let S be the surface of the solid region above the ry-plane and bounded between the planes x + z…

A: The given curves are x+z=2....(1), -x+z=2...(2),  y=0 and y=3. Also given  F→=z i^+ex j^ +1+yz…

Q: Suppose that y1 (t) and y2 (t) are fundamental solutions of the equation L(y) = 0 and let y3 (t) be…

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Q: Quiz 1 1.maclaurin series cos hx

A: Given function is f(x) = cosh(x)

Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: This is a problem of the chain rule and Implicit function theorem.

Q: B. Find the area of the region bounded by the following: ²= 2 cos 20 and outside r = 1 20. inside

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Q: Suppose you have 3 jars with the following contents. Jar 1 has 4 white balls and 1 black ball. Jar 2…

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Q: Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the…

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Q: Determine whether it is possible to multiply the following matrices. If​ so, what is the dimension…

A: We know that For matrix multiplication, number of columns in first matrix is equal to number of rows…

Q: that prove

A: Given, D⊂R2 be a disk containing the origin and g:D→R is a  function given by…

Q: 5. Let the universe of discourse be N. Let P(n) be the statement "n2 + 5n +1 is even". (a) Which of…

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Q: 2|3 113 3 Let y = 7 1 a. Let U = [₁ ₂]. Compute UTU and UUT. UTU= and UUT = (Simplify your answers.)…

A: Given that         y=371, u1=232313, u2=13-2323 and W=spanu1, u2

Q: 35-40 Fixed Points. Find all fixed points of 7 + 2 2i, - 1 35. w = 36. w = :+ 2i

A: 35. Given w = z + 2z + 1 if z is a fixed point then z + 2z + 1 = z⇒ z + 2 = z2 + z⇒ z2 = 2⇒ z = -2,…

Q: Find the area of the region enclosed by the inner loop of the limaçon r = 3+6 cos 0. [Hint: r < 0…

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Q: Find the Value of ? P(a, b): a^ bv ( !a ^!b) ^ b == b Va (Vb P(a, b) ) == ? 3a (3b P(a, b) ) == ? a…

A: For any P,  P v !P = T                    P ^ !P = F Hence, a = {T, F} Again for any R,  R ^ !R = F…

Q: Evaluate the given integral over the solid ellipsoid $4. (Hint: Let x = au, y= bv, and z=Cw. Then a…

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Q: (1 145)(209#( 35")" * (32cjs40°) Let 0= Simplify o and write it in rectangular form.

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Q: Let f : R2 → R be a function given by x² -y? 2+y² { if (x, y) # (0,0), f(x, y) : if (x, y) = (0,0).…

A: We can solve this by using differentiability formula

Q: Use the Comparison Test to determine for what values of p the integral 1 dx converges. хР In(x) (Use…

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Q: In the spring, biologists caught 200 wolves in a wilderness area. These animals were measured,…

A: according to question, out of 20 wolves caught , 8 had tags let out of x wolves caught , 200 had…

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Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: The total differential of the differentiable function: fx,y,z can be written as:…

Q: 1. (a) Compute gcd(119, 16). 1 (b) Find p, q € Z so that 1 = 119p + 16q. Show steps. answer: p = = b…

A: Note: For any two integers x and y there exists integers a, b such that  ax + by = gcd(x, y)

Q: 29-35 REAL INTEGRALS Evaluate by the methods of this chapter (showing the details): de 29. 25 - 24…

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Q: 8. Determine the number M and the interval width h so that the composite trapezoidal rule for M…

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Q: 2. What is the missing digit az in the ISBN number: 0-4az5-10696-8?

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