Compute the volume of by the Jolid obtained revolving the graph of the funetion flx)=Qx5 the interval [y,r

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Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

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Q: Evaluate the definite integral. 1/6 csc(3nt) cot(3nt) dt /1/18

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Q: The velocity in m>s of an object moving alonga line over the time interval [0, 6] is v(t) = t2 + ...

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Q: The integrals converge. Evaluate the integrals without using tables

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Q: Perform the indicated operations and write the result in standard form:a. √-27 + √-48   b. (-2 + √-3...

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Q: Think Diagonal Usethe ideas of Problem 15 to evaluate the determinants in Problems 16–19. -3 4 0 0 7...

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Q: Given f(x) = x2 - 1, x ≤ 0,   a. Find an equation for f -1(x).  b. Graph f and f -1 in the same rect...

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Q: Perform the indicated operations and write the result in standard form, √-81 - √-144

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Q: Solve triangle with a = 66, b = 25, c = 45. Round lengths to the nearest tenth and angle measures to...

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Q: Finding area Determine the area of the shaded region in lowing figures. y x5 2sin 2y x 5 cos y 21 24...

A: Given two equations are x=-sin(2y) and x=cos(y) First, we find where they meet   

Q: Divide using synthetic division (x4 - 256)/(x - 4).

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Q: Determine a basis for the solution spaceof the given differential equation. y′′ + 6y′ + 9y = 0.

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Q: Write an equation that expresses the following relationship. d varies directly with w and inversely ...

A: d varies directly with w and inversely with p. We need to write an equation that expresses the above...

Q: Simplify or perform the indicated operation (and simplify, if possible), whichever is appropriate : ...

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Q: thanks brudda

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Q: Calculate the area between the functions below on [0, 6]. Show your steps and calculations to suppor...

A: Given: The graph if the functions f(x) = 4 - x and g(x) = x is given below,

Q: find the equation of the tangent line to the graph of f at the given point f(x)=(x+9)/(x-1), (1/2, -...

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: Find the second derivative of the function. g(x) = 4 cot x

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Q: Evaluate each expression without a calculator. a. log10 1000  b. log2 16  c. log10 0.01  d. ln e3  e...

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Q: The figure shows the design for the top of the wing of a jet fighter. The fuselage is 5 feet wide. F...

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Q: Find f such that f'(x) = 6x – 7, f(8) = 0. %3D f(x) =| %3D

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Q: You are in charge of designing packaging materials for your company's new product. The marketing dep...

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Q: Sketch the graph of the function. y = tan 2x

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Q: A hemispherical bowl of radius a contains water to a depth h. Find the volume of water in the bowl.

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. = - x° - 2x

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Q: Use the model for projectile motion, assuming there is no air resistance and  g = 32 feet per second...

A: Given Data: The gravitational acceleration is: g = 32 ft/s2 The initial height is: hi = 6 ft The ini...

Q: Sketch phase lines for the following differential equations: (only a- c)

A: The directional field for equation 1 is given below:

Q: Evaluate the integral

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Q: Evaluate the integral 5x (x²+1) (2x -2)

A: Given data:     The given integral is: .   The given integral can be written as,  

Q: Evaluate the trigonometric function tan 3π/2 at the quadrantal angle, or state that the expression i...

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Q: What is the vertical line test?

A: If we draw vertical lines through a given graph and the vertical lines cut the graph only once each,...

Q: Let f(x, y) = xeY, P = (2, -1), and v = (2, 3). Calculate the directional derivative in the directio...

A: The given function be: Now,

Q: Find the critical points of the following function. Assume a is a nonzero constant.

A: Critical points are points at which first derivative is zero or undefined. So differentiating f(x) w...

Q: The y-value is the difference between four and twice the x-value.Write English sentence as an equati...

A: The y-value is the difference between four and twice the x-value.

Q: Also I need help to write an equation for the graph as well

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Q: Use the Cobb-Douglas production function to find the production level when x = 600 units of labor an...

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Q: Use the given substitution to evaluate the following indefiniteintegrals. Check your answer by diffe...

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Q: Find the area of the region bounded by the graphs of the given equations. y=1-x²,y= 1-4x The area is...

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.