Evaluate sec (13t)dt. sec (13t)dt =

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Q: dy 3. Find using implicit differentiation given that dx y? seca – log(r? + y²) = e* + cot(ry).

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Q: appropriate. If there is a more elementary method, consider using it. lim x→7  x − 7 x2 − 49

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A: Explanation of the answer is as follows

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A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: g'(t)=0⇒t×ddt(14-t)+14-tddt(t)=0⇒t×1214-t×(-1)+14-t=0⇒-t+2(14-t)=0⇒-t+28-2t=0⇒-3t+28=0

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A: Solution is given below:

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Q: Solve the differential equation. dy = Sy2 dx Sin x+C O y = - 8ln x + C O =- Sln x +C O y = 24ln x + ...

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Q: 3x Find the limit: lim,→7 I+2

A: This is a limit problem of the function. Please follow the procedure given below.

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Q: Wen calculatng 4-Jx+I5' , you get in x² -1 what opton lim X>1 the process -1 A) lím (r+ 1) (4 + VI+ ...

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A: To determine whether the sequence an converges or diverges. To find the limit of the sequence if it ...

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Q: Let f(x) = x^2(ln x − 1) (e).Find the inflection point(s) of the graph of f, if any.

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Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

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A: follow the procedure given below.

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Q: DE MOIVRE'S THEOREM Copy the problems and show your full solutions on your answer sheet. Evaluate th...

A: We know that, DE Moivre's TheoremIf z=(a+bi)Then zn=rcosθ+isinθnThat is zn=rncos(nθ)+isin(nθLetz=(10...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: u=4i - 5j + ku=42+(-5)2+12u=42v=i - 4j + kv=12+(-4)2+12u=18Dot product:u·v =uv cosθcosθ=(4, -5, 1)·(...

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Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask th...

Q: (a) Find a power series representation for the following function. (Give f(x) = In(8- z) f(x) = In 8

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Q: CHECK

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Q: 8. Find the volume of the region bounded by the plane z = 16 and the paraboloid z = (Use cylindrical...

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Q: consider the graph what is the value -7 -6 -5 4 2 3 45 lim f(x) lin fGx)

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Q: 3. Show that the equation below is an inexact equation. Find the integrating factor in terms of t on...

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Q: 3. r3D 0, 6ө > 0 34. r = 0², –2 < 0 < 2T 35. r 3 3 соs 30 36. r = -sin 50 37. r3 2 сos 40 38. r = 2 ...

A: Given