Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use absolute values where appropriate.) 4 f(x) 5 3 x > 0 F(x) =

Q: Consider the indefinite integral 4 dx

A: Given,           ∫44+exdx

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Q: 9x2 – 8x + 20 x²+ 4x EXAMPLE 5 Evaluate dx. SOLUTION Since x3 + 4x = x(x² + 4) can't be factored fur...

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A: A (1) Given- ∫3t+t2sin2t·dt To find- The value of the above integral using by part formula. Formula ...

Q: Prove lim sin (t)

A:

Q: Compute the following limit. Think about the cases when it is quicker not to use L’Hôpital’s rule. P...

A: To calculate the limits  lim1sin x-1xx→0

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Q: State where the power series is centered. s (1)"(x - 5x)4n (4n)! n = 0

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Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 (x5 + 3y) dx - 5 x...

A: Given: x5+3ydx-5xdy=0

Q: 1 1 Which differential equation has y Ae +Be +- 16 4 as its general solution? Select one: 6y"+4y-2y ...

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A: The diagram is shown below:

Q: solve

A:

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A: Determine the gradient of f. ∇fx,y,z=∂f∂x+∂f∂y+∂f∂z=∂xy+z2∂x+∂xy+z2∂y+∂xy+z2∂z=x+y+2z Now determine ...

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A:

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Q: see snip attached

A:

Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 (x³ + 3y) dx - 4 x...

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A:

Q: First, convert (3/7) base 10 to a base 2 decimal. Use square brackets [ ] to denote the repeating pa...

A: 37=0.428571428then 3710=(0.428571428)10=(?)2 take    0.4285714280.428571*2=0.857142                 ...

Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ  

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A: Given: ∂∂xxa-ax for finding derivative of given function, we use property given below ddxxn=nxn-1

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A:

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Q:

A: Given: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min. It forms a pile in the s...

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: