a) Find a (b + c) b) Find | a. (b+c) |. State its geometric interpretation. c) Find a vector that is perpendicular (orthogonal) to vectors à and b

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Q: Problem #5: Which of the following sets of functions are linearly independent on the interval (-∞,…

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A: (a). 4π​(b). 1Explanation:Step 1: Step 2:Step 3:

Q: A bicyde has a listed price of $572.98 before tax. If the sales tax rate is 9.75%, find the total…

A: Total Cost=Listed Price+(Listed Price×Sales Tax Rate)

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A: The given integral

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A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…

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Q: an = (-1)" η2 + 3 3η2 + 2n + 1

A: To determine if the sequence is convergent or divergent, we can examine its behavior as n approaches…

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A: The objective of this question is to find the points of intersection of the two polar curves r = 2 +…

Q: The Maclaurin series Σ Select one: a. x²e-7x³ O b. -7cos(x³)+2 O c. -7e³x+2 O d. x sin(-7x³) 100…

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A: Given:radius of cone r= 3 m height of cone = 5 ma cubic meter of water weighs = 10000NTo find:work…

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A: The objective of the question is to prove that the sequence {a_n} defined by the recursive formula…

Q: (x)b f(x) fi

A: The given figure

Q: #15 & 16: Solve each inequality using a number line sign chart. Write answers in interval notation.…

A: [−3,−1]∪(6,∞)Explanation:To solve the inequality (x+1)(x+3)/(x−6)​≥0, we can follow these steps:Find…

Q: 3. Use synthetic division to find the quotient of f(x) = 6x²-3x³-8x+12 by x-2. Quotient =

A: Answer:    Quotient=6x3+9x2+18x+28Explanation:

Q: The answer you gave, is not a option

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A: We have to find the vector equation.

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Q: Fill in the equation for this function. -21 -3π/2 -TI F -TT/2 n 2 -3 (1 TT/2 TU f(x) = [ ? ]sin(-×-)…

A: To find the equation of the following graph.

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Q: 18. Use limits to find the area between the graph of the function and the x axis given by the…

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Q: (a) x6 (b) x² - 4 + 4x² + 16 + Ax + A x - 2 te (x² − x + 1)(x² + 9)² B -x+ + + B x + 2 Cx + D 2 '+9…

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Q: Approximate cos COS 10 c a = || 2π 1/2 by using a linear approximation with f (x) = cos x. (257) ≈…

A: The Linear approximation of a function f(x) at x=b is given by, where x=a is some fixed value near…

Q: Given the following matrices: N = [ 10 ²0 3] {}] Find each product, if it exists. If a product does…

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Q: Q4 A): Using the definition of derivative, find f'(x) the of the following function : f(x)=√x+5+x²

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = x² − xy + y² − 4x + 4y…

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Q: Find the indicated partial derivative. 4 f(x, y) = y sin-¹(xy); f2, (², -1/-) =

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Q: Determine the interval of convergence of the following power series (−1)n—¹ n=0 (2n+1)!x²n+1 ΣΠΩ

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Q: (BC Topic) What is the sum of the infinite series 1 - Select one: a. 0 O b. π O c. 1 d. -1 O T 2 +…

A: The given infinite series The objective is to find the sum of the series.

Q: Find the second derivative d'y dx² of x²-3xy² + y² = 15

A: To find the second derivative  of .

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A: To find a vector functionwheny=4x2z=3x2+2y2

Q: r(t) = (t, cos(at), sin(at))

A: r(t) = <t, cos(at), sin(at)>

Q: Find the curvature of the curve r(t). r(t) = (4 + In (sec t))i + (8 +t)k, л/2<t</2 OA. K=1-cost B.…

A: Therefore the correct option is B.Explanation: