The given curve is rotated about the y-axis. Find the surface area of the resulting surface. 12/3 + y?/3 = 1, 0

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A: Given: Statement: "There is more than one third-degree polynomial function with the same three x-int...

Q: Find the area of the region bounded by the graphs of the equations y = e, z = 0, z= 5, y = 0

A: To find the region bounded by the following graphs of equations,  y = ex  x = 0 x = 5 y = 0

Q: 3. Given the polynomial function y = A x^3 + 6x^2- Bx , where A and B are unknown constants. If poss...

A: Given, y=Ax3+6x2-Bx, where A and B are unknown constants.

Q: Test the series below for convergence using the Root Test. n 8n? 10n + 5 n=1 The limit of the root t...

A: Given series is ∑n=1∞8n210n+5n Here  an=8n210n+5nan1n=8n210n+5 Take , f(n)=an1n=8n210n+5    

Q: Find the minimum value, interval for which f(x) is increasing, give the points of inflection, interv...

A: Given: fx=xx2+4 To Find: a. Interval for which f(x) is increasing.b. Minimum Valuec. Point of inflec...

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b] f(x) = x2 -25/x-...

A: Given that: The rational function is f (x) = x2 - 25x - 3 , [ - 5 , 5].  

Q: You need a 65% alcohol solution. On hand, you have a 105 mL of a 15% alcohol mixture. You also have ...

A: Given: On hand, you have 105mL of 15% alcohol solution, You also have 80% alcohol mixture.  

Q: explain for all real numbers x and positive integers n we have:

A: we know that ex=1+x+x22!+x33!+........................+xnn!                      ..1

Q: Test the series below for convergence using the Ratio Test. n° 0.6" n=1 The limit of the ratio test ...

A: From the series we get an=n50.6nUsing the limit of the ratio of two consecutive terms we get:L=limn→...

Q: Complete the table to find the derivative of the function without using the Quotient Rule.

A: To Determine: Complete the table to find the derivative of the function without using the Quotient R...

Q: Write the sum using sigma notation: 1+2+3+4+...+ 131 = ) B, where n=1 A = B = ||

A: Given,           1 + 2 + 3 + 4 + ... + 131 =∑n =1AB

Q: Find, if any exist, the critical values of the function. f(x) = a – 16a - 6 Critical Values: x = Pre

A:

Q: Evaluate the limit using L'Hospital's rule: et – 1 lim x→0 sin(9x)

A: Limit is 1/9 Explanation is given below

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A: Given: y=x2  

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A:

Q: CO2 concentrations (in ppm) are modeled by C(t) = 0.122463t + 329.253 +3 cos() ppm where t is time i...

A: Given, C(t) = 0.122463t + 329.253 + 3cosπt6 To find the global maximum and global minimum, we will d...

Q: Calculus Question

A: Given: The shaded region A has area=5.5 and since total area under the curve is, ∫06f(x)dx=12.5

Q: x4-a? X-a 54(x-a)(20), find the value of "a" if lim %3D

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Q: Solve the exponential equation 3e5x = 1977. Express the solution set in terms of natural logarithms ...

A: Given: exponential equation is 3e5x=1977

Q: Find, if any exist, the critical values of the function. f(2) = * + 1 4 x*+ %3D - 4 3 Critical Value...

A: Explanation of the solution is given below...

Q: y = x + 2 xy = 3 The solutions of the system are: Y1 = and X2 = » Y2 = with x1 < x2. Check Answer

A:

Q: (a) If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x)=...

A: Part A The average cost is given by Take derivative w.r.t x using Product Rule implies For minimum...

Q: Determine the following limit: 3x2 2x 8 - - lim x -2 2x

A:

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40 cub...

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Q: Last expert was wrong

A: Given data,  Initial due(P0) = $70,000 Time since due (t) = 6 years Interest rate (r) = 4% = 0.04 Co...

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Q: Each of the numbers 1 - 20 is written on a ball and placed in a bag. If one ball is selected at rand...

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Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain pro...

A: Consider the given demand function and supply function, p=183-2x2 and p=x2+33x+24 respectively the e...

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A: Given: isotope R226a half-life 1599 amount after the 1000 year 1.5g amount after 10000 years...........

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain pro...

A:

Q: I don't get the right answer.Can you give me explanation?

A: Given: a)  3x−22x+3b)  3+2xx2+1c)  x+2x2d)  x+2x

Q: Use logarithms to solve. e2x – et – 132 = 0 Enter the exact answer (i.e. keep your answer in exponen...

A: To Solve: Use logarithms to solve: e2x-ex-132=0 Explanation: e2x-ex-132=0⇒ex2-ex-132=0let ex=y⇒y2-y-...

Q: Use polar coordinates to find the volume of the given solid. Above the cone z = x² + y² and below th...

A: Let D be the boundary D of the region enclosed by the cone z=x2+y2 and below the sphere x2+y2+z2=49,...

Q: Use appropriate formulas from geometry to evaluate the integral dx. Write the exact answer. Do not A...

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: a rope running through a pulley at P and bearing a weight W at one end. The other end is held 5 ft a...

A: A rope running through a pulley at P and bearing a weight W at one end. The other end is held 5 ft. ...

Q: Assume logb x = 0.36, logb y = 0.56, and logb z = 0.83. Evaluate the following expression. logb xz

A: log rule logamn=loga(m)+loga(n)

Q: Differentiate the function. y = √(8x - 7) - √(x)/(5) y ' =

A:

Q: Estimate the intervals where the graph is behaving as follows. Use interval notation. (a) Increasing...

A: We have given graph of a function. (a)Interval in which increasing and concave down is-∞,-1.  

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given nth term of given sequence is  an=-4n+63nc Now, limn→∞an=limn→∞-4n+63n As n approaches ∞,13nap...