10e10r dx

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Q: If x s f(x) s x² for x in [-1, 1] and x? x 1, at what points c do you automatically know lim, c f(x...

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Q: Suppose that a function ƒ(x) is defined for all real values of x except x = c. Can anything be said ...

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Q: Suppose that functions ƒ(x) and g(x) and their first derivativeshave the following values at x = 0 a...

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Q: Let R be a region bounded by x- axis, the curve y= cosx between x= -lines. If the region Ris partiti...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: We need to find the volume of the solid generated by revolving the region bounded by the given lines...

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Q: Solve the following equation by variation of parameters ? y" + 2y' + y = e-x

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Q: Find the area enclosed by the given curves. Find the area of the region in the first quadrant bounde...

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Q: solve the differential equation. y' =3y(x + 1)2/y - 1

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Q: Before trying to find the solution of a differential equation, it is necessary to know its type. The...

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Q: 5 / x + 3 - 4 / x - 3 = 2x / x2 - 9

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Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves abo...

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Q: The shaded region R in the figure is bounded by the line = 4r and the parabola 1- r2. Use the washer...

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Q: Evaluate the integral

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then ...

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Q: Determine the convergence or divergence of the series

A: Given: Following series: To Determine: Convergence or Divergence of the given series. Concept Used:...

Q: complete the square before using an appropriate trigonometric substitution.

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Q: Observe that f (x) = x 2 is continuous on [0, 1] with f(0) = 0 and f(l) = 1. Because f (0) < 0.5 ...

A: f(x)=x2 is continuous on [0,1] with f(0) = 0 and f(l) = 1 we need to prove that according to Interme...

Q: prove that  d/ dx ( csc x) =- csc x cot x

A: Given Data The derivative equation is d/dx (csc x)=-csc x cot x.   Solve the left hand side of the d...

Q: Determine the convergence or divergence of the series

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Q: Draw the Graphs of the perpendicular lines?

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Q: Each integral represents the volume of a solid.Describe the solid.  pie integral 0 to pie   tan  sq ...

A: We need to describe the solid represented by the given integral.  

Q: Evaluate the integral and interpret it as the area of a region.   π/2 |6 sin(x) − 6 cos(2x)| dx ...

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Q: The formula S = C(1 + r)t models inflation, where C = the value today, r = the annual inflation rate...

A: Given: The inflation rate r = 3% = 0.03 The value of the house today is C = $510,000 The numbers of ...

Q: Show that the points A(1, 1 + d), B(3, 3 + d), and C(6, 6 + d) are collinear (lie along a straight l...

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Q: Q/ find all unit vectors parallel to the yz plane and perpendicular to the vector V= 5i _ j + 2k ?

A: Consider the given vector,

Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point    

Q: Find the volumes of the regions. The region in the first octant bounded by the coordinate planes and...

A: Given Data The equation of region is z=4-x²-y.   Equate the z=0 in the equation of region z=4-x²-y, ...

Q: Solid of revolution Find the volume of the solid generated when the region bounded by y = cos x and ...

A: We have given the function;  y = cos x  on the interval [0, π/2] We know the formula for volume by r...

Q: Integration Evaluate the following integrals.

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Q: What is the natural domain?

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Q: Find the general solution of the given Attached equation

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Q: Solve: x4 - 6x3 + 22x2 - 30x + 13 = 0.

A: The given equation is By rational root theorem, then the rational roots are Find the factors of 1...

Q: 24 If tan(@) = 10,0 <0s5, then sin(8) equals cos(8) equals sec(8) equals

A: To determine: Formula used: 1) Pythagoras theorem: 2) 

Q: Find the area of the shaded region. y = x 4-32 40 y=x4

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Q: Solve the linear equation: 2x + 5 &lt; 17.

A: The given inequality is 2x + 5 &lt; 17. By subtracting 5 from both sides, 2x + 5 - 5 &lt; 17 - 5 By ...

Q: The position vector of a moving particle is given as Rct)- (1+3t + sピ")i + ( 4ヒ+Hビ)j-6costk ヒ=o Find...

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Q: Find the indefinite integral ∫ 1/(e2x + e−2x) dx

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Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 2x ...

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Q: Evaluate the integral

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Q: An airplane takes off at sea level where the air temperature is 15° C. As it climbs to 30,000 feet, ...

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Q: Equations of ellipses and hyperbolas Find an equation of thefollowing ellipses and hyperbola, assumi...

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Q: Graph the given equation. Let x = -3, -2, -1, 0, 1, 2, and 3.  y = x2 + 2

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Q: A solid ball is bounded by the sphere ρ= a.Find the moment of inertia about the z-axis if the densit...

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