The function f : R → R defined by f(x) = cos(x – 5) is а. one-to-one but not onto. b. onto but not one-to-one. С. neither one-to-one nor onto. d. one-to-one and onto.

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A: To graph the given polar equation.r=4 cos θ

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A: Consider a family with 8 children

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A: We can solve this as follows:

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A: We can find the integration as below.

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A: Let's find.

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A:

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A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

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A:

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A: We can find the integration as below.

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A: The graph is To evaluate: The direction angle of the vector.

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A: We have to find the solution

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A: We have to find out limit

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A: Apologies for the inconvenience. The answer should have been simplified more.…

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A: Topic:- derivatives

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A: From the given data:

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A: solution:-∫x2-4xx2-9dx=∫xx2-9dx-∫4xx2-9dx                            =12∫2xx2-9dx-4∫1xx2-32dx…

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A: 4.Given degree 144°5.Given radian 5518π

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A: A detailed solution is given below.

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A:

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A: