3. Which of the following is always true for any real numbers x, y? For real e > 0, if Ix-yl se, then x = y O x*2 > 0. m>nEN - X*m > x*n O Ix/yl = |x| / lyl None of the above.

Q: dy Q4) Find for the following functions dx 1. y = 2x + e2x-1 2. y = sec x tan x 3. y = t² + 2t t =…

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Q: Question 3 Find the area enclosed by the curves y y = 2 V1- 9x2 O V5- 9. 2n B 3 5n D 6

A: Solution is given below:

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Q: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

A: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

Q: Determine the conjugate radical of the expression -8+35. O-8 -35 O NE + 35

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A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

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A: The rate of growth of an ant farm is gt=15e5t and  the rate of decline of the ant farm is dt=15e5t.

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Q: у" - (а + В)у' + авy %3D 0

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A: Given :r(t)=cos(πt)i-ln(t)j+t-14k ; t0=15To find : The domain of r(t) and the value of r(t0)

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A: Using substitution ,

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A: Use the properties of definite integral and solve the question.

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A: ∫ 4sinx-3sec2xdx=∫ 4sinxdx-∫ 3sec2xdx=-4cosx-3tanxAdd a constant to the solution=-4cosx-3tanx+C

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A: Solving

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Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

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A: Let's find.

Q: f(x,y) = 25 - x^2 - y^2 at the point P(3, 4). Use the Partial Limit Dervatives

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