Evaluate sin (x) e-x dx by use Simpson's rule. h=0.5

Q: 2 ³₁²₁²[z³(x + y)³] dz dy dx -4 J

A: In this question we have to solve the given triple integral.

Q: Evaluate: (4x²yz - ) dz dy dx

A: Let,    I  =∫23∫-14∫10 (4x2yz - z44) dz dy dx           I = ∫23∫-14[∫10 (4x2yz - z44) dz] dy dxI=…

Q: xy' + (x +1) y xe sin 2x

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: 5. Use Cartesian coordinates to evaluate ƒƒƒ v³² av where D is the tetrahedron in the first octant…

A: Given problem:-

Q: Compute the average value of the following function over the region R. π f(x,y) = cos x cos y…

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Q: -3 (x² - y²)²] Evaluate: ₁²² x+y du dt

A: Given

Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: Evaluate the integral: 7/20¹² sin (1) dt du

A: Follow the procedure given below.

Q: 1. Find the cofactor of 6 in matrix D 9 8 4 2 -9 3 4 D= -3 2 3 3 2 968 7 6 (8 9

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Q: Given a second order differential equation dx 3t 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: 2. Evaluate all of the integrals. b. 2|x - 21 dr

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Q: 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling…

A: As per bartleby guidelines we only give first three subpart question answers. Let's solve given  bat…

Q: -3 -t Evaluate the integral: Soft²eu du dt е

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Q: 5x 2 Evaluate: ²3x²dz dy dx 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: y"" - 4y" + 3y = 0

A:

Q: Evaluate: xy² dx dy S

A: Given: ∫04∫0yxy2dxdy

Q: 3 Evaluate: ₁ S 1²,₁ S² [(x²-x²)²] dx dy x+y

A: To evaluate the given double integral.∫-14∫03x2-y22x+y dx dy

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

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Q: Evaluate: xy² dx dy

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Q: f(x, y) = x² - y² + 10x +12y - 64 −x² −

A: To determine the extrema if any for the given function.fx, y=-x2-y2+10x+12y-64

Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2), 35544 2

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Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: Given : Let I be a proper ideal of the commutative ring R with identity. Then I is a _______ if and…

Q: -2 -t² rln s Evaluate the integral: 5² 5²² n fote" du ds dt

A: We have to evaluate the integral ∫12∫tt2∫0ln st eu du ds dt.

Q: Evaluate: ƒ³₁ ƒ²₁ √√²[z³(x + y)³] dz dy dx

A:

Q: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis, and…

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Q: Evaluate: ³₂(4x²y — z³) dz dy dx

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Q: Let R be the region enclosed by the polar curve r (0) = 3 ln (0) where 7π <O< 8 Y X 72 ㅠ R 1 1

A: Given Curve rθ=3ln(θ)whereπ2≤θ≤7π8

Q: Evaluate the following √ (2²2 + + 6x − 1)²(x + 3)dx (x²+6x-1)-5 + C 2 (x²+6x-1)-5 3 +C (x²+6x - 1)5…

A: We have to solve given integration.

Q: f(x) = x - 3, g(x) = x² Find (f + g)(x). 2 - (f + g)(x) = x+x-3 Find the domain of (f + g)(x).…

A: It is given that f(x) = x-3 g(x) = x2 We need to find the solution to the given questions.

Q: 1. I. -5 3 Evaluate each determinant. -3 -4

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Q: NO PARKING See Se THIS BLOCK 2AM 5AM STREET ARLING 2 HOUR PARKING THIS BLOCK 9AM 6PM EXCEPT SUNDAYS…

A: Solution

Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

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Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: What is the lim 700 (n-1)-1 + (n − 2) x^²-2 +...+ OB. undefined O.D. 22-1 ne2+7

A: Here, to evaluate: limx→∞xn+xn-1+xn-2+...+x(n-1)xn-1+(n-2)xn-2+...+x

Q: 4 nd the area of the region bounded by 2x = y²+1 nd the y-axis using the horizontal strip.

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Q: An ocean liner is sailing north at a rate of 13 miles per hour. The ocean current is flowing N-10°-W…

A: In this question we have to find the velocity of the boat relative to land and what direction is the…

Q: Find the area of the region bounded by the curves 1 y (x+4)²² y = 4 and the x-axis using vertical…

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Q: 3 -2 Evaluate: ₂₁ [2³(x + y)³] dz dy dx

A:

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: To find the characteristics of a Integral domain.

Q: t sin (=) dt du

A:

Q: Prove that dx x(1+x²) 5 = lnx - 1²/2² (₁4²2²2) + ( C. +x²

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Q: cln s Evaluate the integral: St² főr teu du ds dt

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Q: 3 -1 0 2 2 х -у 2 x+y 2 dx dy

A: Given

Q: The value of A. +3+2x² +C C = 1 + x² +2+C 20 [ (² + 3) *²x² dx B.+²+3x³ +C D. none of the answers

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Q: r²[(x²-y²)²] 1²₂5²² du dt x+y

A: