17. zdy + (x sec² () - y) da = 0

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A: We have to find the derivatives.

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Q: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

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A:

Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

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A: The given function is

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A: When the linear differential equation is in the form, dydx+py=Q    ..........1 Then the solution of…

Q: Question 2 $-3ar* +2pr² h(r) 4r

A:

Q: 3. Evaluate the derivatives of the following: i. 2t +3 ii. x' sin x iii. In(3x-4) iv. (2x +5)"

A: i. Quotient Rule:  The Quotient Rule for differentiation is given by, Evaluate the derivative of…

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A: Since you have uploaded multiple part questions according to our guidelines we have solved the first…

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A:

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Q: Find y''' for y = 1/(x+4)3

A: To find the first derivative, y' of y, differentiate (x+4)-3 with respect to x, using the general…

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Q: 7) | sec x. dx

A: Given:       ∫ sec5x dx

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A: The given function is, y=exx Since the given expression is of the form y=fxgx, it can be…

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Q: Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,511.9 miles. The…

A: