d²y =6– 9x and which passes through the Find the equation of the curve for which dx2 points (0, -1) and (2, 3).

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A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

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Q: d?y Find the equation of the curve for which dx2 - =6-9x and which passes through the points (0, -1)...

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Q: D. Determine how long the ball is in the air.

A: To find S(t) = 0 We solve the equation,using Quadratic equation of form ax2 +bx+c = 0.

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A: Given query is to find the value of the integral.

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A: Refer Attachment for solution.

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Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

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Q: | cos?x tan³x dx

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A: Use simple integration formula.

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Q: Question 4 e* What is the integrable form of dx? ex - e -X (1-w²) du u 2 du Į (u?-1) 2 du

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Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 70 e 0.1769x where ...

A: The number of hits on a certain website is f(x)=70 e0.1769 x, where x=0 corresponds to 2000.

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A: We will find the value of theta. 

Q: 1- cos x 59. ƒ (æ) = %3D Answer + sin r 60. ƒ (x) = %3D e" – 1 61. ƒ (æ) = Answer+ In (x + 1) 62. f ...

A: Use l hospital rule.

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A: topic- linearization of a function 

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