Find the gradient of the line with equation 2x + 5y = 7

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(FP3 question). Integrate 1/sqrt(3-4x-x^2).


Find the acute angle between the two lines... l1: r = (4, 28, 4) + λ(-1, -5, 1), l2: r = (5, 3, 1) + μ(3, 0, -4)


Consider the function f (x) = (2/3) x^3 + bx^2 + 2x + 3, where b is some undetermined coefficient: (a) find f'(x) and f''(x) and (b) if you know that f(x) has a stationary point at x = 2, use this information to find b.


[FP2] Solve: 3 cosh x - 4 sinh x = 7


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