Find the areas of the surfaces generated by revolving the curves about the indicated axes. If you have a grapher, youmay want to graph these curves to see what they look like. x = y3/3, 0 ≤ y ≤ 1; y-axis

Q: (a) Set up an integral for the volume of the solid obtained byrotating the region bounded by the giv...

A: The volume of the solid obtained by rotation (Double Integral) When the area enclosed by a curve y =...

Q: Evaluate the integral.     6x5 + 2x x6 + x2  dx

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has...

A: Consider the system of equations: x + y - z = 0                    .........................(1) x + ...

Q: see attached

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Q: plz answer it urgently with all steps

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Q: Express each of the numbers as the ratio of twointegers. 0.06 = 0.06666....

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Q: See attached

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Q: Surface areas Use a surface integral to find the area of the following surfaces. The frustum of the ...

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Q: Step by step thank you

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Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: I need help with these questions which are in the study plan of the Calculus-2. Thanks in advance.

A: Given that: To find binomial vector B, use the formula  B = T x N. The binomial vector B is 0i ...

Q: Show that the p-series ∞∑n=11np converges for p>1.

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Q: Calculate the distance from the point (4,−2,7) to the plane x−3y+5z=−8.

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Q: Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflec...

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Q: Differential equations(Solve by variation of parameters)

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Q: Find the radian measure of the angle with the given degree measure. Round your answer to three decim...

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Q: Select all of the following graphs which represent y as a function of 4324 1 23 -2 4324 23

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Q: Compute f '(x) algebraically for the given value of a. f(x) =  −4 x ;  a = 1

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Q: Find the exact lanth of the 4=1n (sec(x)), Odyct3

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Q: Differential equationsPlease perform procedure

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Q: Show all work (a) If cos α = −√3/5 and α is in the third quadrant, find exact values for sin α and t...

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST QUEST...

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain...

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Q: Produce graphs of  f that reveal all the importantaspects of the curve. In particular, you should us...

A: We have given the function; x=(0.5, 1.60) First, we need to find it's derivatives; For f'(x), x=(0...

Q: Use polar coordinates to find the volume of the given solid. 南 產唱 信 情 Below the paraboloid z = 18 – ...

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Use logarithmic differentiation to find dy/dx                                                     y ...

A: Applying natural logarithm on both sides, we get  

Q: Find the definite antiderivative dx/x^2(sqrt(x^2+36)) from 1/2 to 1

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Q: When is an angle in standard position? Illustrate with a graph.

A: If the vertex of the angle is at the origin and if the initial side lies along the positive x-axis, ...

Q: I don't know what I'm doing wrong for p_4(x)? p1 = 3 p2 = 3 - 6x^2 p3 = 3 - 6x^2 p4 = ?

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Q: Neglecting air resistance and the weight of the propellant, determine the work done in propelling a ...

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Q: In Exercises 21 and 22, draw coordinate axes and then sketch u, v, and u * v as vectors at the origi...

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Q: Find the derivative of the function. t(x) = x2 − 8x3  / x

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Q: Graph the lemniscates. What symmetries do thesecurves have? r2 = -cos 2θ

A: (a). Check symmetry about x-axis (b).  Check symmetry about y-axis (c). Check symmetry about the o...

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has...

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Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Use the Chain Rule to find dz/as and əz/dt. e cos(0), r = st, 0 = V 56 + t6 || dz as az

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Q: please double check your answer, most of the time it's wrong!! thank you!!

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Q: Calculus Question

A: We have given the integral; and  

Q: 2. Use the error formula to estimate the error in approximating the integral T/2 2 sin x dx using th...

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Q: If F(x)=∫e^(5t2) dt over interval [3x, 4x^2], what is F′(x)? (Do not include "F′(x)=" in your answer...

A: Given,  over the interval  .  

Q: I need help with these questions which are in the study plan of the Calculus-2. Thanks in advance.

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has...

A: Given data:     The given first equation is: x-y+z=0. The second equation is: y+4z=-12. The third eq...

Q: Show all work and explain

A: Given that, The line passing through the point (0, 2). (a) The inclination of a line is the angle th...

Q: Evaluate the integral. Check your result by differentiation.     (2x3 + 14)46x2 dx

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Q: EXAMPLE 5 More properties of radial fields Letr = (x, y, z) and let (x² + y? + z?)¬\/² be a potentia...

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Q: -8 6. Evaluate the integral +y² dydx

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Q: see attached

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Q: Approximate the depth of the water in the tank in Exercise 9 if the fluid force is one-half as great...

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Q: find the sum of the series ln(1-1/n^2) for n=2 to infinity

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