Determine the convergence or divergence of the following series 2 sin³ n n² -1

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Q: Given f(x,y) = x-y-3xy³. Evaluate fdx O 14y-27y3 +C 6 O -6y³ + 8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x...

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Q: (2x³ – 3x²y + y³)ª = 2x3 – 6x²y + 3xy? dx

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Q: -2

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Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

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Q: x2 dx 25 - x2

A: Here we use the trigonometric subsitution method to solve the given Integral.

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Q: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36 ...

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

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Q: 4. The function f is defined for all real numbers. What is a reasonable estimate for lim f(x)? a. -5...

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

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A: This is basic problem on angles solution is given in the next step

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A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: For what values of x are the following functions NOT continuous. 4x² – 17x + 15 (x) = Vx² – 25 b. f(...

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Q: lim (fx) f(c) lim f(x) DNE X-4 f(4) = 3 Once again we see that lim (fx)) and f(c) are not the same. ...

A: Here, the given function is: f(x)=x3-1  

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A: Given the query is to find the average value of function over the interval [0,π/2].

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A: Given that: Points are: (6, -3, -2) and -23,23, 1

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Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

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Q: An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of...

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Q: Set up the integral to find the length of J (X) = e from x = You don't have to integrate it. 0 to x ...

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Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: 3. dy = ( x - 3y)dx

A: Let's find. 

Q: 15) Consider the following equations of quadric surfaces: a) x=+-4 b) x? - y? + z? = 4 i) Identify t...

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Q: Let lim f(x)= 11 and lim g(x)=9. Use the limit rules to find the following limit. X-9 lim [f(x)- g(x...

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Q: Given the polynomial P(z) = -9z - 9z² – 5z – 20 and divisor d(z) = -3z + 2, find the quotient Q(z) a...

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Q: Do vectors (2,0,1) (-2,0,0) and (2,3,0) lie in the same plane? Explain your reasoning

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: Given the equation below. Give what is being asked. a sin3xsin2xdx = Find: a + B,where a <0

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Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the...

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Q: Given f(x,y) = x?y-3xy³. Evaluate | fdy 14y -27y" , c + C O -6y3 +8y/3+ C O 6x2 – 45x + C 4 O 2x² – ...

A: