3. (x³-x²)7 dx x2

Q: Find the solution to the linear system of differential equations 42х + 120y satisfying the - 43y…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z %3D subject to 2²…

A: Here the number of constraints is one that is g(x,y,z)=x^2+y+z^2-1=0, and the objective function is…

Q: Find the monthly house payments necessary to amortize a 9.6% loan of $266,200 over 15 years. The…

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Q: Wk: 19 O We want to brild a set of selves. Ihe witth Of the set of shehles needs to be 4 times the…

A: The following steps are used to find the solution of the given problem.  Use a variable to…

Q: Consider a sequence (x, n E N) with x 2 0 for all n EN. Prove that if lim (-1)"xn exists, then lim…

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Q: Consider the function x - 3 for x4 By using the characterization of continuous function in terms of…

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Q: The time period of the motion u" +192u =0 is a) T = 0.45345 b) T = 0.5345 c) T = 0.54345 d) T =…

A: We can solve this by given information

Q: Given f(r, y, z) = In(x² + y? + 2²), show that af, f, s dy? %3D dx² x² + y? + 22

A: The given function is fx,y,z=lnx2+y2+z2........(1) To show: ∂2f∂x2+∂2f∂y2+∂2f∂z2=2x2+y2+z2

Q: QUESTION 2 Consider the following statement pV[¬(pAq)] Which of the following alternatives is its…

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Q: r(t)=(cost+t sint)i+(sint -t cost)j, a/2<15a. %3D

A: We have to find arc length of given function.

Q: o limr→0 3 - Vx +9

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Q: 00 1 = 1- x +x² - .+(-1)"x" + ... = (-1)* 1+ x (-1)"x". %3D n=0 1 f(x) = 1+ x2

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Q: 1. -(p→ q) → (p a~q) 3. (-p v q) ^ [q→(~r^~p)

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Q: For the O.D.E. find all epuiGbicum sobitious Csify them iy possifle )

A: This is a problem of differential equation.

Q: Find all solutions between -2π and 2π of the equation:  Cos (θ) =  √3 / 2

A: We use the following: If Cos (θ)  = cos(α) [ 0 ≤ α ≤π ]      ...(i) then   θ = 2nπ ± α   ,where n is…

Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

A: Let   ∑n=0∞anbe an alternating Series   ,  ,  and  then we know that  for some s∈R (the series is…

Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

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Q: QUESTION 4 Copy of and g (x) =- h(x) 1-x1(x) =x r(x) = x- 1 Let A denote the set Rvo. U and f, g, h,…

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Q: Find the transform of the ff: a. by calculations b. by using table 1 1.f (t) = 5 sin 4t 2. f (t) =…

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Q: At 3:01P.M, a thermometer reading is 90°C is taken outside where the air temperature is -10°C. At…

A: Given: Timing Thermometer Reading  Temperature 1:01 PM 90oC -10oC (Outdoor) 1:03 PM 36oC…

Q: 5. On the rectangle 0 < x < n, 0 < y< 1, show that |sin z| is maximal at the point z = 5 + i. (Hint:…

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Q: (xdx ydy + zdz)2z {(z²x²y²) (xdx + ydy + zdz) dz + %3D

A: Differential equation

Q: When "→" is understood as the material conditional, P(p → q) is equal to Multiple Choice   P(p) +…

A: When "→" is understood as the material conditional, P(p → q) is equal to

Q: Find the indicated maximum or minimum value of the objective function in the linear programmlng…

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Q: Find an equation for the plane tangent to the level surface x² + y² + z = 4 at the point Po(1, 1,…

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Q: 1. Consider the polynomials for k = 0,1, ..,11, and let B = {bo,b1,., bị1}. It can be shown that B…

A: We will use the basic knowledge of the change of basis matrix to answer this question completely and…

Q: D Find the orthogonal trajectory o family of the cur ves

A: Solution.

Q: Establish whether the following propositions are true or false. Provide a formal proof for just one…

A: a) True,   A convergent sequences in Rn is a Cauchy sequences.  Proof: Let(Xn) be a convergent…

Q: Find the corresponding Taylor Series centered at c for each of the following functions and determine…

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Q: Bonns: Determine if the equation is the equation ofa hyperbola. Find the fallawing i they exist,…

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Q: Σ S(0.881)" n=1 8.

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Q: 1. Find the Fourier Series coefficients representation of if -T < x < 0 f(x) TT – x if 0 < x< T…

A: Given data  f(x)=x           if   -π&lt;x&lt;0 π-x    if       0&lt;x&lt;π

Q: 4- the solution for the following O.D.E (2xy- sin(x))dx = x²dy- cos(y) dy

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Q: Suppose C=D0, so that 23 24y 5x3 = 0. Find all points (x,y) at which the tangent line to the…

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Q: a. The price of a jumper was reduced in a sale by . The new price was later reduced by . What…

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

Q: log,(2x-1)= 2. Find x

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Q: United Metal, Inc., produces alloys B1 (special brass) and B2 (yellow tombac). B1 contains 50%…

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Q: Q3. Find the area of the region R that lies outside the cardioid r = and inside the circle r a(1+…

A: q-3 find the area of the region R that lies outside the cardioid r=a1+cosθ and inside the circle…

Q: Problem 1. Let (X, dx), (Y, dy) be metric spaces, and equip R with its usual absolute value-metric.…

A: Given: Let us consider the given,X,dX,Y,dY a) Let us determine the sequence of functions fn:ℝ→ℝ b)…

Q: Determine if S3 e S3 is solvable.

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Q: use the Power Series Method to solve for the general solution. Express your final answer in sigma…

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Q: 2L (1-сos(nn)) ппх f(x) sin dx = (пп)з (1-сos(nп)) Σ 4 f(x) = -(1 -cos(пп)) sin (пл)3 L n=1 8

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Find real-valued closed formulas for the trajectory x(t + 1)= Ax(), where 6. 12 and (0) = 9. A %3D…

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Q: 5. What is the general solution of the following differential d²y 6+9 dx3 d³y equation 'dx+ 3,9-0)?…

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Q: -4 0 A -4 %3D B = 2 -1 -1 2] 15 4 ]

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Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

Q: Q5) Find the integration by using (by part method): Se3x sin X dX

A: We can solve this using part method

Q: (b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

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Q: Question 2: CLIMBING MOUNT FUJI The Gotemba walking trail up Mount Fuji is about 9 kilometres (km)…

A: While ascending, the distance is 9 km and the speed is 1.5 kilometers per hour. The relation between…