35. (²00 + 30 dv 37. f(x) dx where f(x) = 18 · 5² √ √ ²2² ²² dz 36. sin x cos x if 0

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A: We know that the sum formula of the geometric series is a/(1-r)

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Q: 15. Find the sum of 1 1.3 + 1 =+ 3.5 n = 1 1 + 5.7

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A: (i)Here we have given a equations of pair of plane.Now, comparing their coefficients and constants…

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Q: 2. Prove that fo So dx=3(2-√2)

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A: Use the quotient and product rules of the derivative

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Q: Find the absolute maximum and minimum values of f on the set D. = {(x, y) 1 x ≥ 0, y ≥ 0, x² + y²…

A: ,

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A: *Note – As per our guidelines we are supposed to answer only one question. Kindly repost other…

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Q: (8) Find y' using implicit differentiation method: Sin(y) =sin(x) cos(y) + 4

A: To find

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Q: 23. √x dx 25. L sin Ꮎ dᎾ J0/6 dx 24. fx-2/36 ·L₁7 dx 26.

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Q: 11. a) By solving some equations with some unknowns, determine whether it is possible to write [5,…

A: To determine whether it is possible to write the vector [5, -10, 1] as a linear combination of [4,…

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A: We have,  f(x) = √(x+4) /ln(9-x)

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Q: 1 Find the area between the graph of x = y² and the y-axis on the interval [1, 4]. -0.5 3- 2+ 1 0…

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Q: lim t→0 4t² + 3t sin t +2

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Q: so what is the solution for 23,24

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Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

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Q: Solve the equation: sin(2x) - cos(2x) = 1 over the interval [0, 2π).

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Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

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Q: Verify that Rolle's Theorem can be applied to the function ƒ (x) = x³ – 11x² + 38x − 40 on the…

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Q: (1) Find the limit (show the steps). lim 0-0 (cos 30) - 1 sin 50

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Q: Subject: calculus  Solve the system of nonlinear equations ((2x)^2/3) +( y ^2/3)= (9^1/3)…

A: x=     , y=x=,  y=x=, y=x=,   y=

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Q: If polynomial 4x^3 -12x^2 + kx + 4 = 0 has root at x=2. Calculate exact values of other two roots

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