Find the maximum value of I+y subject to the constraint r + y? = 18.

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Q: Hamid Find the akeas fak the fallawing regions Area enclosed by the diagram V= Sin 3

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Q: 2. Use the secant method to estimate the root of f(x) = a° + a³ + 3. %3D By starting with the…

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Q: Let X be the graph of f(x) given below that is, X is the subset of R x R satisfying the given…

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Q: 3.) Find the area bounded by the curve y? = 2x and y =x-4 a.) Using Vertical strips b.) Using…

A: Given: The equation of the curve y2=2x andy=x-4. to find the area bounded by the curve using…

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Q: 10. All hyperbolas center at the origin.

A: we know the equation of hyperbolas center at origin is…

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Q: In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize…

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Q: EXAΜPLE2 Determine whether the vectors vi-(1,-2,3),v2=(5,6,-1),v3-(3,2,1) are linearly independent…

A: Given vectors are v1 = (1, -2, 3), v2 = (5, 6, -1), v3 = (3, 2, 1)

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Q: 10. Find the sum of all incongruent solutions of a =1 (mod 17). (Enter the least non-negative…

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Q: (a). Find the general solution of the differential equation y"" – 16y = 0. y(t) = cı exp(2t) +c2…

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Q: 2. Use Green's theorem in order to compute the line integral P (x – 4)³ dy – y³ dx where is the…

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Q: . Use the surface integral in Stokes' Theorem to calculate the circulation of the field F around the…

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Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

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Q: (a) Give an example of a continuous function whose derivative does not exist at x = 0. (Hint: this…

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Q: 7) Show that K± = det [ T 4 J.

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Q: Problem I. Find a lower bound for the radius of convergence of the series solutions about each given…

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Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z= 2x + y Subject to: 2x +…

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Q: A room 30 m by 22m is to be illuminated by 34 W fluorescent tube mounted 3m above the working plane…

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Q: Q2/ By using partial method solve fx² In x dx

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Q: dx = 3x + 5y dt dy 3D — 2х + 5у dt x(0) = 5, y(0) = -1. %3D %3D

A: We have to solve the system of differential equations: dxdt=3x+5ydydt=-2x+5y       x(0)=5, y(0)=-1.

Q: Given the area bounded by the parabola x² – 4x + 12y- 20 = 0, the x- axis and the lines x = 1 and x…

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Q: . Let X be the graph of f(x) = x2/3 given below %3D that is, X is the subset of R x R satisfying the…

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Q: luate Sa F . = 3x² i + (=

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Q: Solve the equation below using A. Laplace Transformation B. Undetermined Coefficient OR Variation…

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Q: Solve the problems below: 1. Find the positive real root of f(x) = x* - 8x²-35x + 450 x - 1001 using…

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Q: Using the method of undetermined coefficients, find the particular solution of the following initial…

A: The given initial value problems  a)y''+4y'+4y=2te-2t, y(0)=1, y'(0)=-3 b)y'''-y'-y=0, y(0)=0,…

Q: Verify Green's Theorem by evaluating both integrals dk + x° dy = /. / dA ду for the given path. C:…

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Q: II. Solve the Inverse by Convolution theorem: -7 ( + 4)(s +2)

A: By the convolution theorem,  The above result can be written in the form ϕt=L-1 {F(s) G(s) }

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from r = 0 to a =1 -…

A: The given curve is y=3x32-4................(1)     where x varies from 0 to 1.

Q: Suppose that the function/ is defined on the intérval as follows. r-2 if-25x<-1 -1 if-1Sx<0 0 if…

A: Given function is f(x) = -2if-2≤x&lt;-1-1if-1≤x&lt;00if0≤x&lt;11if1≤x&lt;2

Q: For each of the following matrices A find a basis for the solution space S of the homogeneous system…

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Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31…

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Q: 3. Given the Maclaurin series I calculated for f(x)= sin x from the video on Maclaurin series, write…

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Q: (1) Prove that the funetion f(r) =! is not uniformly continuous on (0, 1). (Hint: find two sequences…

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Q: After depositing an initial amount of $17,000 in an account that eams 7% interest compounded…

A: Given,Annual Rate of deposits=2800-400tInitial amount(P0)=$17,000Rate of interest,r=7%To find: a)…

Q: Let X = R – (0,0) and - be defined over X by setting x-y - y = tx for some non-zero ! E R. (a)…

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Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

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Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

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Q: Find the most general antiderivative of f(t) 8 cos(t) +6 sin(t).

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Q: A function y = f(x) and an x-value xo are given. f(x) = x + Vr; xo = 1 (a) Find a formula for the…

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Q: 1. Let f : Z6 → Z6 be such that f(7) = x² + 3. %3D (a) Is f a well defined function? (b) Is f…

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Q: Inverting a Fourier Transform turns it to inverse Fourier Transform of (w) eiwx dw 00 f(x) =…

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Q: Find the area of the shaded region. NOTE: Enter the ezact answer. y = z² +3 y =z 3

A: The area of the shaded region can be found using double integration. Here, the area is bounded by…

Q: Compute the iteration for the function f(x, y) = 4x³ + 6xy² R=[1,3]x[-2,1]. on the rectangles

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