Fill in the blank with an integer from 0 to 180. The degree of the angle between (1, -2, 1) and (1, √√6, -1) is

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Q: 25. L 1 5 + 5s.

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32) sin(t)dt

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Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: x=ρsinϕcosθ y=ρsinϕsinθ z=ρcosϕ For the cone: z=√(3(x2+y2)) or ρcosφ=√3sinφ=> tanφ=1/√3 or φ=π/6.…

Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

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Q: 2.3.9 Using the third-order Adams-Bashforth method (start the process with two second-order…

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A: False.

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Q: Determine if the given function is a linear transformation. 0 0 1 T: M3,3 → M3,3) T(A) = 0 10 A

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Q: A limacon with a dent symmetric to the polar axis, and points to the left. the left. A cardioid…

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Q: Q2/ Find the slope of the tangent to the curve at x = 8 ५+ पड़े y = 3x5 + 2³√x + 2 + √5 M-XY, 3x² 031…

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Q: (IV) Find the half-range cosine series of f(x)= x(7-x) in (0,7). Hence find the sum of 1 1 the…

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Q: ✓(3) Prove Green's theorem for F = Y Z + x²y³j y (1,1) i (1,0)

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Q: 1. Use the Modified Euler's method to find y when x = 0.1 to 0.2 given that = dy dx √x + y for y(0)…

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Q: (b) How many partitions does the set [10]

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Q: 1. Consider the system of linear equations below: 5x-4y+2z=21 -x-5y+6z=-24 -x-4y+5z=-21 a. Solve the…

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Q: Page 3 of 3 √4-x² 5. Set-up an equivalent iterated triple integral of ²₂ ² ²√²+² y sin (√x² + y²) e²…

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Q: triple integral give the following: (b) the volume of the solid B that lies above the cone z = 3x2 +…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: 4. What is the median of the scores 6, 8, 11, 25, 15, 10, 2, 8, 16? A 2 B. 6 C. 8 D. 10

A: solution :  Options (d) is correct

Q: Applications of Differential Equations 4.  A tank initially holds 80 gal of a brine solution…

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Q: Find a general solution to the differential equation. y"+2 +2y=2 tan 2t- -e³1 2 The general solution…

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Q: ƒ(a + x) = f(a) + Σo_ x² d(n)f(x) an)f(x) = f(a) + xƒ'(a) + —ƒ"(a) + ¹ƒ''(a) + ·· . =1 n! dxn x=a By…

A: The Taylor series about a point a is already given . We will use this for f(x) = sin x and a=45°

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Consider the given solid R, 0≤x≤10≤y≤1-x20≤z≤4-x2+y2 So, the diagram of the region is shown below,

Q: Set up the definite integral for the volume of the solid generated when region C is revolved about…

A: To find the volume of the solid generated when region C is revolved about the y-axis, we shall use…