Let ABCDEF is a regular hexagon with centre O. Let ā = 0A, b= OB and so on. Explain why/prove %3D %3D ā +5 + č +d +ē + f = ō

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A: I have stated the used formula in the solution

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Q: 23. y²dx + (xy – 1)dy = 0

A: Let's find.

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A: Solution:

Q: 7. If ā = -i+ 3j + k,5 = 31 – 2k and ĉ = 2î – † + 4k, determine 2(ã +5 – 2€) – (35 - 2)

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A: We have to find range of give function.

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A: We can solve this as follows:

Q: Suppose the revenue function for a product is given by the function: : R(g) = - 8g° + 4g where q is…

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Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = ti + 2t2j + t³k, u(t) =…

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Q: 5x2+11x+2 dx x(x+1)²

A: integration using partial fraction

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Q: Consider f(x) = 6.9x3 + 9.1x2 - 4x + 7.7. Using the given function, approximate f(4) by making use…

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Q: For the function, f(x) = 2x – 1, find the inverse function of the given function. а. |

A: Given : f(x)=2x3-1   To Find : Inverse of f(x)

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Q: 4. Given that sin 0 =- and let 0 be in second quadrant. 3 7 Find the values for all six…

A: A detailed solution is given below

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Q: Find both first partial derivatives. z = Gy?V az az ay

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Q: sion into quadratic form, ax² + bx + c = 0, and ide %3D

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Q: 24) Find the maximum rate of change of at the given point and the direction in which it occurs.

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Q: If y=f(x) = - 3cos+) + 4 then what is the value of / 2 A) 7

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Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

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Q: 14. Evaluate L{e" cos(30)}. s-4 A) s - 8s +25 B) s - 8s + 25 4 C) s - 8s + 25 s+4 D) s - 8s +25

A: As we know that the Laplace identity; 1). If Lft=Fs then Leatft=Fs-a  2). Lcosat=ss2+a2   Given:…

Q: Which among the following is false for getting the derivative of an implicit function?

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Q: n What is the closed-form expression for the series 2 (k-2)², k=1 37 A + 6 n³ -n²+ 13 B 6 6

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2(3*)…

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A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

Q: The most conveneient way to evaluate x2- by substitution is to let Vx2- 4 =y A True B) False

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Q: 1. The study of integrals in calculus is motivated by the problem of calculating (a) the slope of a…

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Q: 5. Differentiate with respect to x: SET A. 5e

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Q: Find the limit. NOTE: Enter the answer using round brackets. ) - () t2 + 8 1 lim tto \ 5t2 + 6'8t

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x + 3 lim x--3 x + 27

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Q: Diego knows that 82 64 and that 4° = 64. What other statements are true? O V64 = 8 O V64 = 4 O…

A: We can find the true  statements as below.

Q: Find the integral. 4 9) x4 In 2x dx A) 391.74 B) -202

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Q: (a) / Which of the following integrals is equal to -2+ In 2? X - 4 dx (a) 4- I dx (b) 2 - 4 da (c),…

A: To find which of the given integrals has given value

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 6)i + tj, 0sts1

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