Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 7x x= cost+tsint, y=sint-tcost;t=4

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A: Given equation of hyperbola (x-2)29-(y+4)216=1That is (x-2)232-(y-(-4))242=1copare with…

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A: We need to choose correct option.

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A: Solve the following

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A: Here we have to check whether the statement is true or false.

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A: To sketch the graph of the parameric curve ,first we find  x and y values corresponding to each t…

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A: Given.

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Q: Question 35 If z = x arctan 0 - 4 OFF O undefined ◄ Previous (²).find əz əx at x = 0, y = 1, z = 1.

A: To find the partial derivative of z with respect to x.

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A: This question is related to definite integration, we will solve it using given information.

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A: We can find the correct answer by checking the individual options as below.

Q: meª (In x)-5 Find: What is the behaviour of y as →→ ∞ ? Given: Y- ▬▬▬ Oy -∞ Oy →∞ Onone of the above…

A: Please see the below picture for detailed solution.

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Q: Solution is incorrect. Please correct it.

A: dydx=6y18+9x2y18⇒dydx=6y18(1+9x2)⇒y18dy=6(1+9x2)dx

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A: Given, ∫125+225x2dx

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A: We need to give equation of orbit.

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A: We need to find x7.

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Q: PART I. DIFFERENTIALS 1. √101

A: We can find the approximate answer as below.

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A: Given :fx,y,z=lnxy-zx2

Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: 3. fx³ (a²+x²)¹/² dx

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