Find the surface area of the part of the plane z = 2 + 6x + 4y that lies inside the cylinder x² + y² = 4

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Q: find a PTLU factorization of the given matrix A.

A: To find  factorization of the given matrix A.

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Q: Find the Laplace transform of  f(t)=-2u2(t)-3u3(t)+5u6(t)=......

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Q: a. 24 T r(5)г(7.25) C. ∞ b. et t'dt 1 dx -In(x)

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Q: Indicate whether the following statement is true or false. ₁₁¹-x²x² dy dx = f f₁² r²(cos(0))² dr de…

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Q: 3. Determine the present value of the annuity which provides a payment of $680 every 6 months for 5…

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Q: Exercice Consider the circle S¹, defined by S¹ = {(x, y) = R² | 2² + y²=1}. Let U₁ = {(r,y) € S¹…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Use your answer to evaluate Ja F. dr along the curve C: F(t) = t³i +t³j, 0<t<3

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Q: 3. xy' + y² + y = 0

A: Aim: To solve the differential equation

Q: QUESTION 9 In how many years will the amount of P10,000 triple if invested at an interest rate of…

A: Invested amount P = 10,000Future amount (F) = 30,000rate (R) = 10%                 = 0.1

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Q: Evaluate Transforms. L{t"ƒ (1) } = ( − 1)" —_L{f(1)} (Derivatives of dn : n ds" Transforms) L{t²e-2t…

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Q: y' = 2 x² + y² sin x

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A: Year198519901995200020052010Percentage

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Q: 4. Evaluate Hint: Use Fubini's theorem. 3 I 1=]] ve²w 1 0 yezy dydx.

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Q: Find the general solution of the given system. = 2x + y + 2z da dt dt dt = 3x + 6z -4x - 3z

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Q: q1.4 a box is made out of the following vectors u = v = w= determine the volume of the box that…

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Q: A solar panel is mounted on the roof of a house. The panel may be regarded as positioned at the…

A: If the sum of two angles is a right angle, then the two angles are complementary.

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Q: Find the orthogonal projection ŷ of y = - [ W = Span u₁ = y = -2 5 Ex: 1.23 -5 -4 3 -E)} onto the…

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Q: EXERCISE Let C = (1, 2, 3, 4) be the canonical basis of R¹, where e₁=(1,0,0,0), z = (0,1,0,0), es=…

A: (.) Given linear transformation is ,                   defined by   .(.)  Matrix associated to a…

Q: 1 x y !!! 000 dzdydx 1 y ¡¡¡ 000 dzdxdy 23 √√9-x² /// 0 0 -√9-x² dydxdz 2 3 √9-x ]] [ dydzdx 0 0…

A: (i) The plane ax+by =0 satands on z-axis ,similarly ay+bz=0 stands on x-axis and az+bx=0 stands on…

Q: Find a 2 X 2 matrix A such that one solution to x' = Ax is x(t) = (e²te-t, e²t + 2e-t).

A: 2. Given that one solution to is                                              To find a matrix A…

Q: 6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s.…

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Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. -7…

A: Here we have to find whether eigen values are distinct real, repeated real or complex.

Q: demonstrate the use of the method with reflections on the use of numerical methods, as described…

A: Given:The function is ,  and .To Find:The minimum for the function using the vectoral application of…

Q: Exercise 5.1. For an m x n-matrix A, we defined v₁(A) = maxp▲m mingean paqt and Show that v₁(A) ≤…

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Q: 2. Gamma Function a. 24 r(²7) r(5)r(7.25) b. f et t'dt C. So dx -In(x) Evaluate using Gamma…

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Q: Question 3 Using course notes, solve the congruence x³-7x+6=0(mod3².7²)

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Q: (1) Find the Fourier transform of the signal shown in figure below. f(t) using unit step cos (5t)…

A: Given: A signal .To Find: Fourier Transform of the signal using unit step.

Q: 7- b) d) Which of the following double integrals gives the area of the region bounded by the curve…

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Q: A tailor has the following materials available: 16 square yards of cotton, 11 square yards of silk,…

A: Let  be the number of suits sold.Let  be the number of gowns sold.It is given that the profit on a…

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Q: 7. The cost, in dollars, to produce a product can be modeled by the function C(x) = 5x + 18, where x…

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Q: 4t c{241(1) L { u₁ (t) + u5 (t)t² est

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