Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the y-axis. y=3x2 , y=0, x=0 , and x=3.3. Round off only on the final answer expressed in 3 decimal places.

Q: •1 /3x x. dzdydx y? + z2 0.

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Q: The half-life, T, for a particular radioactive element is 9 min. Find the decay rate of the element....

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A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we h...

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A: Given :dx/dt-2y=-sin(t)dy/dt+2x=5cos(t)  

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Q: Express the repeating decimal as a fraction. 0.4713 43 43 43...

A: Given:- the repeating decimal 0.47134343... To find :- fraction

Q: In Exercises 27-30, form a function z = fy match those given. f(x, y) such that f, and 27. fx sin y ...

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2 ...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find x' for x(t) defined implicitly by x +tx+t° - 5=0 and then evaluate x' at the point (- 1, - 3).

A: Follow the procedure given below.

Q: Solve the Bernoulli Equation xyy' + y² = 2x

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Q: 57. f(x) = 5x² at x = 10

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: d -n (-u) + C If u <0, then u (A) True B) False

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Q: For 2= sin (5x) cos (54) 2x calcolate partial deriu atives.

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Q: Find fy ) for (x,y) Cos (x) sincy) exy

A: Given query is to find the partial derivative of the expression with respect to y.

Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Po e 0.00012097 A b...

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Q: dN = - 0.087N. dt A chemical substance has a decay rate of 8.7% per day. The rate of change of an am...

A: according to our guidelines we can answer only three subparts  and rest can be reposted.

Q: If f(x) = 4 sin '(2), f'(x) =

A: The given function is f(x)=4sin-1x5  .................................... (1)   

Q: Solve the given differential equation (4x + y- 1) da + (x - y- 4) dy = 0

A: To solve the differential equation.

Q: 49. V sec /

A: Given query is to the derivative and dou ke derivative of the expression.

Q: Round each fraction to 1.- 555

A: Round the given function.

Q: Let f(r) 3 sec(5z) %3D f'(x) =

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Q: Provethat f fear dz- F(2) d2 Saro if ce+Cathen

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Q: Consider the functions below. f(z) = V-1 %3D g(z) = r+1 Find each of the following, if possible. (If...

A: Given query is to find indicated function.

Q: 3. The cost (in dollars) of producing x units of a certain commodity is C(x)=100+50x-0.02x (a) Find ...

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Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500. ...

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Q: (x² +2x+3)(5– x) 10. g(x)= 3x+2

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Q: _4. If f(x) is any polynomial of degree 10, then the gth derivative of f(x) is zero. _5. If f'(0) = ...

A: Topic = Derivative As per guidelines ,at  a time only three questions can be answered.

Q: 2. True or False. The dx [Arctan(tan x)] = 1 for all x in the domain. ans. True

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Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

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Q: Find the point(s) on the graph of the following function where the slope of the tangent line is equa...

A: Here, the given function can be written as: f(x)=x+7x-7=x-7+14x-7=1+14x-7

Q: Which of the following is a solution of the given initial-value problem? y'+ (tan(x))y = 5 cos 2(x);...

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Q: (x +3)² dx x + 3 Evaluate %3D +9 In(¤ + 3) – 6(x + 3) × (Don't forget to include the constant 2 of a...

A: Topic = Integration

Q: J esc2tdt = In|csc2t – cot21| + C A) True B) False

A: Explained below 

Q: Calculate the volume of a solid enclosed by the following equations z=x? +1, x=6, y=5 and the three ...

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Q: If w 5x2 + 2y2, x = -3s+t, and y = s – 4t, find in terms of s and t. Provide your answer below:

A: Given:   w = 5x2 + 2y2     x = -3s + t      y = 3 - 4t

Q: Problem 2 Suppose that a refrigerator manufacturer determines that its cost, in dollars, of producin...

A: Given query is to find revenue and marginal revenue function.

Q: If f(r) 6 sin (), find f (x). Find f'(0.6).

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Q: 2x +1 5. y= x-2

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Q: IF= x2enx

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Q: Which of the following is not included in the Organon? A On Interpretation B On Sophistical Refutati...

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Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug...

A: Given query is to find rate of change after 8 hours.

Q: 14. A projectile is launched from ground level with an initial speed of 128 feet per second and a la...

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Q: . Find the radius and central angle in radians of the circular sector of maximum area having a perim...

A: This question can be solved by applying the concept of maxima and minima.

Q: 3. y = v2x' +x /2.

A: We need to find the derivative of 3. y=2x3+x