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Q: Evaluate the integral. cost dt

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: 5 and (3,135) - 3, 27 Find a formula for the exponential function passing through the points

A: Now given that the function passing through the points

Q: The standard parametrization of the circle of radius 1 centered at the point (0, 1) in the xy-plane ...

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Q: Match each integral with the solid whose volume it represents, and give the dimensions of each solid...

A: We calculate the given integrals: This represent the volume of Right circular cone with radius r an...

Q: Evaluate 2?e-dz

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Q: Find the average value of the function ƒ(x, y, z) = xyz on the unitsphere in the first octant.

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Q: just. 59 please

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Q: The position P(x, y) of a particle moving in the xy-plane is given by the equations and parameter in...

A: Given data:     The given x-coordinate in parametric form is: x=t1/2. The given y-coordinate in para...

Q: Write  number in decimal notation.  7.45 x10-5

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Q: Use graph to find  set. [1, 3) ∩ (0, 4)

A: Given set is  [1, 3) ∩ (0, 4) The graph of the given set is as shown

Q: please include a sketch of the region and the solid in the solution, i am really confused!! thank yo...

A: Consider the given function and graph:

Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph....

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Q: Plot the following points, given in polar coordinates. Then find allthe polar coordinates of each po...

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Q: Find the polar coordinates, -π ≤ θ < π and r ≥ 0, of thefollowing points given in Cartesian coord...

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Q: Find the area of the segment of a sphere formed by revolving the graph of     y = √(9 − x2) , 0 ≤ x ...

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Q: I'm having difficulties with this question

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Q: Introduce an appropriate coordinate system and find the center of mass of the planar lamina. (The an...

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Q: Find an equation for the graph sketched below f(2) = Preview

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Q: the velocity of a sky diver t seconds after jumping is given by v(t)=80(1-e^-0.2t). after how many s...

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Q: Daily crude oil production by Pemex, Mexico's national oil company, for 2008–2013 could be approxima...

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Q: The graph below shows a transformation of y = 2" %3D

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Q: can you help this question?

A: Given function is  

Q: Evaluate the following integral sin x cos x dx

A: The given integral is It can be written as  

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)...

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y ar...

Q: Find the volume swept out by revolving the region bounded by the x-axis and one arch of the cycloid ...

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Q: in the picture

A: We first get rid of the negative exponents  

Q: Don't know how to solve

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Q: to a mass of 4 mg. What was the initial mass (in mg) of the sample? What is the mass 8 weeks after t...

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Q: Calculus Question

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Q: Find all of the points where the curve r = 2 cos (θ/3) intersects thecircle of radius √2 centered at...

A: For the point of intersection: We need to solve the two equations simultaneously: r = 2 cos (θ/3)  a...

Q: Calculus Question

A: Consider the function:

Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph....

A: On simplification, we get  

Q: Question 1

A: The given function g(x) on the interval [0,pi] is The average value of a function g(x) on the inter...

Q: Sove the Following D.E 1+x* dy + XCI+y) =o %3D メP

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Q: 9-x 5. For the function y = f(x) = x? -4 find the following: a) the x- and y-intercepts. (b) The equ...

A: a)

Q: Property bounded by two perpendicular roads and a stream is shown. All distances are measured in fee...

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Q: A graphing calculator is recommended. A drug is administered to a patient, and the concentration of ...

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region. x = y2 − 2...

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Q: f(x) = (x + 3)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list....

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Q: Find the center of mass of the lamina of uniform density bounded by the graph of f(x) = 4 − x2 and t...

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Q: Find the length of the cardioid r = 1 - cos θ.

A: Arc length in polar coordinate is given by:  

Q: Use calculus to find the x-locations of the local maximum and local minimum values of S(x) = (½)x° -...

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

A: To find out x intercept , set y=0 and solve for x

Q: Question ask for four answers

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2 + 1, y =...

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Q: Plot the following points, given in polar coordinates. Then find allthe polar coordinates of each po...

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Q: Solve equation.  √(2x - 3) + x = 3

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.