Find the derivative of the function. +

Q: Evaluate the integral (exact value). e6sin (87) + C e6x sin(8x) dx 7

A: We can find the integral as below using integration by parts as below.

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A: The given function is: f(x)=x2+5

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A: Please refer to the image below

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A: Given: x(t)= t4-24t2

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A: Topic = Triangle

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Q: only c and d

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Q: 1 - (Integral test) n2 +1 ... .... n=1 8.

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Q: +4)° x = sinh4t

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Q: S 4G- e-) cos (e?+ Inz) dz | A 4 sin (e-z+ In z) + C C sin (e-2 + In z) + C 4 sin (- e-) + C sin (- ...

A: Solving the problem by finding the integration.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the cons...

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Q: y (2xy +1) = xy)

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Q: dy 62y – 16 Consider the integral This can be transformed into a basic integral by letting u = and d...

A: We have to solve the integral 

Q: For what values of x is x³ + 23x² + 132x + 180 = 0 a true statement?

A: Here we will find the values of x where given equation satifies,

Q: Obtain the general solution   mydx = nxdy   Ans. xm =cyn

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Q: d²y 4 - 5y = 0, suppose the solution has the form y = ex. Let ax dy Find the Characteristic Equation...

A: characteristic equation and roots

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Q: 3. 2y(x2 – y + x)dx + (x² – 2y)dy = 0 %3D

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Q: Q4: Evaluate the function at the given values f(x) = v20 – x² when x = - 4

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Q: 0-Find (o cow フ .ce メ1 me for Pollowing function? W=xet2- xャト+ー6 +2²=6

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Q: Let {a,}1 be a convergent sequence defined by a1 = V5 and an+1 = V5a,. Find lim a,.

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Q: Set up, but do not evaluate, an integral for the length of r =os(y),0 <r<; using dy 1+ da (a) ds = d...

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Q: Assume that y= 5x and de/dt = 2. Find dy/dt. Select one: 10 O 5 O 2 1

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Q: B. Compute f'(1) for each of the following functions. a) f(x) = 5x + 3 b) f(x) = x² – 4 %3D

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A: Given,          The height of a cone is decreasing at a constant rate of 3 centimeters per minute.  ...

Q: Find the indefinite integral. (Use C for the constant of integration.) t° Vt9 - 23 dt

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Q: Compute (g(x)), where f(x) and g(x) are the folla opute (g(x)), where f(x) and g(x) are the tell dx ...

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Q: Find the derivative. I+5 = (x) 6 12 + 2 Select one: 2 (z + 5) (-x² – 10z + 2) g' (z) 2,

A: Here we have g(x)=x+5x2+22  

Q: HELP

A: Please refer to the image below

Q: 3x? – 17x + 20 lim X4 4x2 - 25x + 36 Vx +5 - 2 lim x--1 x +1 Vx2 + 3 - 2 lim X-1 x2 -

A: Topic = Limits

Q: For what value of m is the value x=-1 a zero of the function f(x)=2x^3+mx^2−2x−1. Please show work!

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Q: If dx =16, what is the value of a ? a Round your answer to two decimals. Write 'Diverges' if the int...

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Q: Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0, X-2 x-2 find the limits, if they exist. (If an a...

A: As per our guidelines we are supposed to answer 3 subparts of a question. Kindly repost the remainin...

Q: 3 3 (x+ Ax)° – x° lim x→0 Ax

A: Limits

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Q: sociated series. 1. (5)"

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Q: Is the following a power function, a polynomial, both, or neither? f(x) = –17x³ Select the correct a...

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Q: Sx sin2x dx

A: I am integrating the above term by integration by parts method. 

Q: the maximum height, in feet, that the object will reach

A: Follow the procedure given below.

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

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Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of integra...

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