Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the 3 coordinate planes. Use rectangular coordinates.

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Q: The volume V of the solid having the shape of the region in the first octant (x ≥ 0, y ≥ 0, z≥0)…

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Q: ind the solution of the recurrence relation a, = a, +2 with a, = 3. %D

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Q: Use the Midpoint Rule to evaluate the integral S x² In(x² + 1)dx O 2 In(4) O 4 In(5) O In(10) O 2…

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A: Introduction: The volume o the cuboid of side lengths a, b, c is given by, V=a×b×c

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Q: y" - y' - 12 y = e^(x/3)-e^(-x/3) A) Find the complementary solution of this homogeneous equation B)…

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Q: 5. Consider the function f: Z15 → Z15 given by f([n]) = [n³]. Show that f is a function, and…

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Q: 16) Find the value of a retirement savings account paying an APR of 5.8% after 45 years…

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A: Note: Euler path of a graph is a path that passes through every edges of the graph exactly once.

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Q: Solve the initial-boundary value problem ди 3 д и Ət 10 дх2 ди (0, t) = ди дх дх u(x, 0) - = (4п,t)…

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Q: Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

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Q: - In a survey of 500 students of a college, it liked watching hockey and 62% liked watc

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Q: Question Suppose that you are estimating sin (0.6) using the second Maclaurin polynomial for sin…

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Q: 5) (x + y)dx + (x + 5)dy = 0 (Exact).

A: Exact differential equation.

Q: (b) Define fo = 0, f₁ = 1 and fn = fn-1 + fn-2 for n ≥2. Show that 3 fak for all k ≥ 0.

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Q: express in polar coords with: Cりり me point whose Ty-Coords are a.r>o and OsoL2

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Q: Evaluate // (1+x² + y2) dV, where E is the region bounded E by the surfaces z = 6y2 - 9x², and z = 6…

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Q: f(x) = x ln² x fonksiyonunun x 1 noktasında üçüncü Taylor polinomu P3(x)' i kullanarak f(2) değerini…

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Q: 1) dy y 2 = x2 + dx

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