first octant 2 4- x+y dy dx -

Q: Determine the volume of the solid obtained by roteting the region bounded by y=x^2-2 and y=x about…

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Q: Find the area between the curve y=2 and the chord joining the points (0,1) and (2,4). O 0.5608 O…

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Q: 2x2 +4x - て +2

A: To evaluate the given integral.∫2x2+4x-3x2 dx

Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = T, using 4 trapezoids.…

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Q: Current Attempt in Progress Sketch the curve by eliminating the parameter, and indicate the…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. V64-22 xy dy dx dz

A: Given: I=∫08∫064-z2∫0xxydydxdz   The Power rule: ∫xndx=xn+1n+1+C

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy -180 J-120

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Q: 1 Find the length of the arc of y= from x = 1 to x = 3. 2x

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Q: Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R 0, x…

A: Given

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt dt the product directly…

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Q: The point (– 1, 3) is on the terminal side of 0 in standard position. The exact value of cos(0)is…

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Use the formula k(t) = |r(t) × r"(t)|| ||r(t)||° to find k(t). 13 r(t) = e"i+etj K(t)

A: Solving

Q: Consider the vectors: a = -11î + 10j +–12k, b = 2î + -8j + -12K, c = -7î +-10j + 10k a) Find: bxc =…

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Q: Evaluate the limit using L'Hospital's rule: Lim0+1 In(x+1) 2xe"

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Q: d y Find dx? for the parametric equation: x = et;y3Dt³ +t+1

A: Find your answer below

Q: Evaluate the definite integral. 9ti + 3t°j + Vtk) dt

A: The given definite integral,    ∫-119t i+3t3j+t3kdt

Q: Consider the contour represented in the following figure. The points marked on the figure are A(5,…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Find the surface area of that portion of the surface Z = 4 -x that lies above the rectangle R in the…

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Q: Use a triple integral to find the volume of the solid. The solid bounded by the surface y = x and…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ei + Sin(/2)j + e stk…

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Q: f(x, y) = x3 - y³, P(4, 3), v = (i+ j) %3D 2

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Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-2 and y=x about…

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Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 30…

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Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: For each of the following series determine if the series converges or diverges. In(n) Σ n=2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) : = 6ti –…

A: Solution is done in step 2

Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: [7 -3] A = 4 6 B…

A: We know that for a matrix A=abcd=ad-bcA=7-346=7*6-(-3*4)                       =42+12…

Q: al)= gi+ sk vio)= 5), ro) 0

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Q: r(4) (arcsin(t), arcos(1),0

A: Given: rt=arcsint, arccost, 0   As we know that; ddxarcsinx=11-x2ddxarccosx=-11-x2

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: Vector equation of a line passing through P(a,b,c), Q(p,q,r) is given by,…

Q: V4-x² c 3-x²-y² x dz dy dx J_5+x²+y² A 128/15 B 16/89 23/6 D) 6

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) stk lim (ei + Sin(/)j + e…

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Q: Sketch the region enclosed by the curves and find its area. у %3 сos 9x, y —D 0, х - x = 18' 9 NOTE:…

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Q: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (¤, g) = |(?, ?) %3D y = =? 1

A: y=x7

Q: 8. 1) Use the Integral Test to determine whether the series is convergent or dive n' +1 n=1 Please…

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Q: Question 6 Evaluate JJ xy dA, where R is the region in y = x2 R A) 13/7 B) 16/3 18 20 2.

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Q: Edit Find div F and curl F if F(x, y, z) = 13y*z'i – 11x°2°j – 5xy'k. div F= 0 curl F= k (-55 a' 2º…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 4 y=V4x- 2/2x

A: Topic = Derivative

Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different way dt dt r(t) = cos ti + sin tj + tk, u(t)…

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Q: Find the divergence of the vector field F. F(x, y) = 4xe*i - 7x?y²j

A: Find the divergence of the vector field F.

Q: Question 8 sine 1/2 I r cos e dr de. Evaluate the iterated integrals J. (A) 1/6 (в) 1/2 (D 11/9

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Q: Find the volume of the solid that results when the shaded region is 8 revolved about the indicated…

A: Volume of revolution

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (15 Vsin…

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Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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Q: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

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