If y = u and u =3x +3, find dy when x= 1. dx dy (Simplify your answer.) dx Ix 1

Q: c) 2a +b-c+d = 1 За - 26 + 2с -Зd %3 2 2a - b+c-3d = 4 5а +b -с+ 2d %3D-1

A: The system is of the form AX=b The augmented matrix can be written as  21-1113-22-322-11-3451-12-1…

Q: For numbers 1 and 2, state whether each p-series converges or diverges (2 points each) 1 2. Zn=1 3n4…

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Q: 1. A large hotel is selling off its beds, before replacing them with new ones. There are two sizes…

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Q: 5x Suppose that Cnx". (7 + x) n =0 Find the first few coefficients. CO C1 = C2 C3 C4 Find the radius…

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Q: dy -(+ State the order of the given ordinary differential equation. dy + y = 0 dx3 Determine whether…

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Q: (s- 2)* S +35 -S-3 (s² +2s +5) Ans. f(t)=e"(cos(2r)- 2t sin(21) 22) F(s) = %3D s-7s' +14s -9 (s – 1)…

A: We can solve this first using partial decomposition and then find out Laplace inverse

Q: ... The length of the curve y= x between x 0 and x 5 is (Round to two decimal places as needed.)…

A: To find the arc length of the curve.

Q: Solve the equation [cos (2y) - (3x^2)(y^2)]dx +[cos (2y) - 2x sin 2y - (2x^3)(y)]dy = 0

A: To solve the given differential equation. First we check whether the differential equation is exact…

Q: 85. Suppose that f is the differentiable function show panying graph and that the position at time t…

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Q: 2. Consider the two systems of differential equations da dx (i) = 0.3x – 0.1xy (ii) = 0.3x - 3xy dt…

A: Given system of differential equations: (i). dxdt=0.3x-0.1xydydt=-0.1y+2xy (ii).…

Q: (우inte infinite) or Howe if S IS Countable set then prove that M Cs)

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Q: Using Stokes's theorem, calculate the line integral F- dr, where F = [2y?, 3z, z - z] and C is the…

A: Stoke's theorem states that  ∫C F dr =∫∫S curlF n ds where S is the surface inclosed by the curve C.…

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Q: OSenies exponsion exponsio (2-0)(2-2) 1< |2 - 5| <3

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Q: 10 The point P has position vector 3i – 2j + k. The line / has equation r 4i+ 2j + Sk + u(i+ 2j +…

A: given position vector P→=3 j -2j+k and equation of line r=4 i +2 j+5 k +μi +2 j+3 k (i) find the…

Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: Given: PMT=$2900, m=4, t=20 and r=2%=0.02. To find: Future value of an annuity.

Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

A: To solve the differential equation by using variation of parameters.

Q: determine whether multiplication by A is one-to- one by computing the nullity of A and then applying…

A: Let (x, y) be in nullspace of A.  Then, A(x, y)t = 1-22-4-36xy = 000     =&gt; x - 2y = 0…

Q: D. Use a double integral in polar coordinates to find the volume of the solid bounded by the graphs…

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Q: 2+1/n 1+1/n 2n + 1 2 2 for n → o. 1 In n+1

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Q: I. Use the flgure below to name one exampl B. F 3. Draw an example of a chord. Label Is JK. 4. Draw…

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Q: Brian is a lifeguard and spots a drowning child 30 meters along the shore and 50 meters from the…

A: Given, Brian is a lifeguard and spots a drowning child 30 meters along the shore and 50 meters from…

Q: 27T cos? t dt COS 2 – sin t

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Q: -8 -3 -5 7 3 -9 -3 -4 -2 3 -1 -10 -4 10 -5 9 -2 0 5 [A] = [B] = 4 -8 -9 4 8-10 %3D %3D 7-6 0 2. -6 1…

A: Given: A=-8-3-55-4-23-1-948-107-60219-76 and B=73-9-3-10-410-59-24-8-610526-78 To find: 3A-4B

Q: 2. Determine whether each of the following series is Convergent or Divergent by using the Direct…

A: A. According to the direct comparison test, Suppose that we have two positive terms series ∑n=1∞an…

Q: Let Z be a complete graph with n vertices. What will be the domination number of R? Why?

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Q: Find the ordinary generating function for sequence defined by the recurrence: a0 = 2, an + 1 = 3an +…

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Q: 6n³ – 4n² + 16 Use the limit comparison test to determine whether converges or diverges. An = 7+ 3n4…

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Q: Please solve using the method of Undetermined Coefficients. 3. (a) Find the general solution of the…

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Q: Use the Laplace transform to solve the given initial-value problem. y' + 5y = e", y(0) = 2 y(t) =

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Q: Evaluate the surface integral / F. ds for the given vector field F and the oriented surface S. In…

A: Given  Fx,y,z=-xi-yj+z3k and S is the part of the cone z=x2+y2 between the planes z=1 and z=6 with…

Q: 1. Consider the following scenario: Janet, Gail, Susan, and Lisa all walked away from the bus…

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Q: Show that the function represented by the power series is a solution of the differential equation.…

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Q: 1. Points A(2,1,0), B (4,1,6), C(5,3,s) and E (-8,5,t) are the vertices of a triangular prism where…

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Q: Find a power series for the function, centered at c. 1 h(x) C = 0 1 - 4x' 1 h(x) = n = 0 Determine…

A: The Taylor series of a real or complex-valued function f (x) that is infinitely differentiable at a…

Q: Sin e Coso + CoSe-2

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Q: 38. Let 2 = R0, the space of all sequences of the form w = (x1, x2, ...) (**) %3! where x; e R. Let…

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Q: Displacement x1 = X1 – X2X3, x2 = X2 + X1X3, x3 = X3; ; obtain the deformed surface of the cylinder…

A: Given,x1=X1-X2X3x2=X2+X1X3x3=X3To find: The deformed surface of the cylinder -…

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A: Given- Assume there is a certain population of fish in a pond whose growth is described by the…

Q: A region is enclosed by the equations below. y = 3 + sin(æ), y = Va + I, æ = 4 Write (but do not…

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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Q: 3. у-5(x+3)(x-1)? 4. у-3x(x+10)(х-10)

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Q: a) A triple integral I is written using spherical coordinates as follows, p* cos o sin o d0 dodp. i)…

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Q: The figure shows the region of integration for the integral. 36-x (6-x f(x, y, z) dy dz dx Jo…

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Q: Is it the case that for propositions p, q and r, (p q) ((pV r) (q V r))?

A: To show that for preposition p, q and r , the given case satisfy or not .

Q: (a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested…

A: a Given polynomial is p(x)=12x4+3x3−5x2+7x−8. We have to evaluate the given expression at x=-1. Let…

Q: Use variation of parameters to solve the given nonhomogeneous system. 8. 20 X' = -1 20 X(t) =

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Q: Consider the recurrence relation an = 5an-1 + 14an-2 with first two terms a0 = 10 and a1 = 18. Solve…

A: Introduction: Recursion is used in a recurrence relation to connecting phrases in a sequence of…

Q: 3. Let S, and S, be two subspaces of R such that s, n s, = ((0,0,0,0,.0)) and dimension(S,) =…

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