Find and simplify the difference quotient f(x) = 1 3x f(x+h)-f(x) h -, h#0 for the given function.

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Q: 2. The terminal side of an angle in standard position intersects the unit circle at point (+,-).…

A: tan(θ)=-3212 tan(θ)=-32×21

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Q: 134 Σ (14η – 3) n=1

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A: answer is in next step . please give a like !!

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A: Since,a diver jumps off a diving board that is 12 ft above the water at a velocity of 16 ft/sec.…

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Q: [-2.7] 4.9 0 Given the set of vectors S= {al 3.1 following statements are true about the set S?…

A: To find whether set S is linearly independent or not.

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Q: Compute the inverse of the following unitary matrix : NÍN 2 1_1 -i 2 2 1 2 1 2 + 22 7|2 - + = i 2 2…

A: The objectives to find the inverse of the given unitary matrix.

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A: The first step in making logical induction from a statement given as true or false is to break it…

Q: Question Five: Find the determinant of the matrix [1 2 A = 3 7 l1 -1] 0 -1 -1 6

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Q: Prove: 1) 2) sec 0 + tan(-0) cot - cos(0) = sec 0 tan 0 1 cos x + sin x sin y = sin 2 3y 2 COS (²)…

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A: Please refer to the image below

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Q: Question Six: Jancs) Let = (1,-1,0,4) and = (1,-1,2,0). Find a vector WE R4 that satisfies…

A: Given,           u→=1,-1,0,4 and v→=1,-1,2,0.            4u→-w→=u→·v→u→-2w→To find : Vector w

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Q: The following table shows the Rate R of Vehicular involvement in traffic per 100,000,000 vehicle…

A: No. S R 1 20 1600 2 25 800 3 30 250 4 35 300 5 40 800 6 45 1400 Where, S=speed of…

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Q: Minimize and maximum z = 8x +7y subject to the constraints 2x + 3y ≥ 12 2x + y ≤8 x, y 20

A: Given,Max(z)=8x+7y,Such that,2x+3y≥12,2x+y≤8x,y≥0.