Let U = 3i−j−4k and V = −2i+4j−3k. Show that U·V is commutative but U×V is not.

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A: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial…

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Q: lim X ड Hy गं

A: We have to find limit

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A: Let's find unit tangent vector.

Q: 13. If f(x) = 4x²-4 x-1 A. I only x≠1 " C. I and III only 4, x = 1 I. lim f(x) exists x-1 II. fis…

A: We can solve this as follows:

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A: To determine the velocity and acceleration functions.

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Q: 25-34 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 2. A 71.6m tower is to be constructed on a hill with a slope of 15.6°. Both cables make a 42.5°…

A: We will use sin Rule to find the length of each cable.

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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x a = b =

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Q: 2. Use Euler's method to approximate the first three steps of a ten-step approximation to dy 2x+1…

A: Use Euler's method to approximate the first three steps of a ten-step approximation to the solution…

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Q: + on 0 = -1/3 cohere 10404190 Find Sin 2 0

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Q: 2) Evaluate the definite integral cos a dx. Round your answer to 4 decimal places.

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Q: (5) Determine if the alternating series converges Σ(-1)^n. 8 n=2

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Q: 16. Determine lim f(x) if the given function is x→2 f(x) = 2.², 82r, if if x 2 x

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Q: (part Determine two coterminal angles (one posi- tive and one negative) for a)-400° 1.313 and -47…

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Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

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A: Given figure:-

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Q: fib)-fla b-a sandth. f'(c) in the conclusion of the Mean Value Theo

A: We have to choose the correct option from the given options according to the given information

Q: If the population of an ant colony in 3 days is known to be 2000 and P'(0) 2. What is the…

A: For Linear Growth we have formula, Pt=P0+ktWhere Pt is population at t days.P0 is initial…

Q: Find the value of f'(9) if f(t) = 10√t - 7 √t

A: Here is the solution:

Q: Consider the sequence. √20, √20+ √20,√√20+ √20+ √20 (a) Compute the first five terms of this…

A: Consider the sequence,20, 20+20, 20+20+20a To compute the first five terms of this sequence.b To…

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Q: Assume that marginal revenue is given by: dI(x) / dx = 2,500 - x - 2x2 a) Determine the revenue…

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Q: Find the eigenvalues of the upper triangular matrix [3 4 5 0 6 7 0 0 8]

A: The given matrix, 345067008 We have to find the eigen values of the matrix.

Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: 3) Consider the function G(x) = f g (t) dt. Find the derivative G' (x). O g(x) g(x)-g(1) O g(t) O…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: 1. Convert the following general form to standard form of parabola. 4x²-24-40y-4-0 b. x²-2x-6y+25=0…

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: Suppose f(x) = 3x + 4. Then the inverse of fis given by ƒ-¹(x) = Moreover, ƒ'(x) = ₁ and (ƒ−¹)'(x)…

A: we need to find out the inverse of the function.

Q: its radical so how do u do 409 racial 3

A: To explain how the radical is simplified.

Q: 3). .Use the Comparison Test to determine whether the series converges. ∞     n = 1an where an =  2…

A: The given series is:∑n=1∞ an ;      where an=2n(n+4)

Q: A small lake is stocked with a certain species of fish. The fish population is modeled by the…

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Q: Problem 2. f = Is the integral XT dx convergent or divergent? Hint: There is a test that allows you…

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Q: 1. A laser beam is to be directed toward the center of the moon, but the beam strays 0.5° from its…

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