Find S - X5 - 4 X 5 x5 +4√x dx dz +C

Q: Let f(x) = -2 ln(cos(x)) f''(x) =

A: dlnxdx=1xdcosxdx=-sinxdtanxdx=sec2xsinx cosx=tanx

Q: Integrate: F 3 3² x² dx + C

A:

Q: Find d dx (45x+6)

A:

Q: Let h(x) = tan(2x + 3). Then h' (2) is and h'' (2) is

A: given function    h(x)=tan(2x+3)

Q: Pn. An open question is whe If Pn denotes the nth prime number, put dn = Pn+1 – Pn. An open question…

A:

Q: Let f(x)=√4x² + 4x + 6 f'(x) = f'(5) =

A: To find f'(x)

Q: Calculate the indefinite integral Ivio + C 3dt 16- 36t²

A: Answer is in step 2.

Q: Evaluate fa² tan³ (2³) da + C

A: To integrate the given  function.

Q: Evaluate 4x³ sin² (x¹) dx + C

A:

Q: Use a Table of Integrals to evaluate the 3x integral. sin 5xdx

A: Topic:- application of integration

Q: Let f(x) = = f'(x) = - 2 log(x) ƒ' (5) Round to 4 decimal places if needed. =

A:

Q: Given f(x) = 3, find f'(x). Type In(x) for the natural logartihtm function or use the equation tool.…

A: Given: Now,           f'(x)=3x' Apply the derivative exponent rule:  ddxax=axlna        =3xln3

Q: New-Home Prices If the average price of a new one-family home is $246,300 with a standard deviation…

A: Given information- Population mean, μ = $246,300 Population standard deviation, σ = $15,000 Let X be…

Q: :f5* cot² (5²) da dx Integrate:

A: To evaluate the given integral

Q: For -11 < a < 12 the function f is defined by f(x) = x²(x + 7)² On which two intervals is the…

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Q: Use Simpson's Rule and all the data in the following table to estimate the value of the -7 [ f(x)dx.…

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Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 V'(t) (L/min) 4…

A: From given data table we have              x0 = 1 , x1=4, x2=7 , x3 =10,  x4 =13 , x5=16, x6=19…