Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: 1 S² F(x) '9 +6² f(x) dx = 37 and g(x) dx= 18, find I' [3f(x) + 5g(x)] dx.

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Q: Express the limit as a definite integral. [Hint: Consider f(x) = 8x5.] 72 lim 72+00 1 L' 0 Srdr ²8.…

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Q: Find f. f(x) = f'(x) = −2+ 24x 12x², -x² + 4x³-x² + 14x+8 x - f(0) = 8, f'(0) = 12

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Q: Find the general Solution For D-E dy dx +y secx = COSX

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Q: Determine wheter the series diverges. if it converges, find its sum. n=1 4" +5" 6h Converges or

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Q: Calculus 1

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Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

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Q: 7. Point (4, 6, -7) Perpendicular to n = j

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Q: 4. Consider z = ²-y tan(x); x = s/t, y = s²t², use appropriate chain rule to find Əz/at.

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