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Q: Find the differential dy of the given function. y = x(1 − cos x)

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Q: evaluate the integral.

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Q: Let f (x) =2x³ + 2x² + 3x – 2. Use the mean value theorem to find the set of x values in the interva...

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Q: A torus is formed by revolving the region bounded by the circle x2 + y2 = r2 about the line x = R, w...

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Q: Describe the intervals on which the function is continuous.                           f(x) = (4x2 + ...

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Q: Arcsine and ArccosineIn Exercises 71–74, find the exact value of each expression.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: Consider an object moving along a line with the given velocity v. Assume t is time measured in secon...

A: The given function of object moving is where v is the velocity and t is the time traveled by moving...

Q: Find the degree measure of the angle with the given radian measure. -13pai/12

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Q: Find two positive numbers that satisfy the given requirements. The product is 147 and the sum of the...

A: Let x and y be the required numbers. Now given that the product is 147. That is,

Q: The area of the top side of a piece of sheet metal is given. The sheet metal is submerged horizontal...

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Q: Complete the table by finding the appropriate logarithmic or exponential form of the equation, as in...

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Q: Find the arc length of the graph of the function over the indicated interval.

A: We find y' suing the power rule

Q: y' + 2y = 1 + e−x, y(0) = −4

A: This is the first-order differential equation; it is in the form of Therefore, Then find integrati...

Q: In a certain city the temperature (in F) t hours after 9 AM was modeled by the function T(E) = 44 + ...

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Q: Graph

A: Given, The graph of f(x) possesses the following characteristics: f'(0) = 0 , f''(0) < 0 , f(0) =...

Q: Evaluate the integral. integral 1 to 2  sqrt  x 2   -1 / x dx

A: The expression to be integrated can be written as

Q: Find an equation for the ellipse with center (2, 0), foci (2, ±3) and major axis of length 8.

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answ...

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2 ...

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Q: The tutor didn't read the question properly., had to ask again... This is a differential equation: t...

A: The taylor series for the solution of differential equation.

Q: Please do not use technology on this one. Only EXACT answers are sought.(a) Calculate sin 45◦ and co...

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Q: How can I find the derivative of an integral. For example g(x)=the integral from 0-x (t+t^3)^.5 dt

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Q: Find the centroid of the region between the parabola x + y2 - 2y = 0 and the line x + 2y = 0 in the ...

A: Given equation of parabola is, Given equation of line is,

Q: Find the global maximum and minimum of the function on the given interval:f(x)=x+2/x,x∈[0.5,2].

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Q: Find the indefinite integral.

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Q: The relations cosh(i t) = cos t and sinh(i t) = i sin t were discussed in the Excursion. Use these r...

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Q: In exercises 7–18, find the area of the region.

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Q: 17. Use Theorem 4.7 to prove that Vx + 3 2 V3 + x/4 for

A: Let,

Q: find the mass and center of mass of the lamina bounded by the graphs of the equations for the given ...

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Q: Estimate the slope of the line from its graph.

A: The graph of the line is 

Q: Please help with this.

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the line y = 6....

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Q: The measures of two angles in standard position are given. Determine whether the angles are cotermin...

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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: Calculus Question

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Q: -2 Evaluate (5х — 2) dx -6

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Q: The voulume is changing at a rate of ____mm^3/min

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Q: Find the derivatives of the functions y = (2x - 5)-1(x2 - 5x)6

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Q: A woman at a point A on the shore of a circular lake withradius 2 mi wants to arrive at the point C ...

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Q: If ƒ(x) = x3 - 8x + 10, show that there are values c for which ƒ(c) equals (a) π; (b) -√3; (c) 5,000...

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Q: Work integrals in ℝ3 Given the force field F, find the workrequired to move an object on the given c...

A: Given: Force field F = <-y, z, x> path consist of line segment joining (0,0,0) to (0,1,0) foll...

Q: Find an equation of the line with x-intercept x = 4 and y-intercept y = 3.

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Q: Use Simpson’s Rule with to approximate the givenintegral. Round your answers to six decimal places i...

A: Graph of the function cot 2x is as below;

Q: Animal populations are not capable of unrestricted growth because of limited habitat and food suppli...

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Q: Write out the first five terms of the sequence with, 00 In(n) determine whether the sequence converg...

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Q: Copy and complete the following table of function values. If the function is undefined at a given an...

A: Copy and complete the given table of function values. If the function is undefined at a given angle,...

Q: Add or subtract. [(3/5x + 2 )+(5x/25x2 - 4)]

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Q: Eliminate the parameter and write the corresponding rectangular equation. x = 7 cos q y = 5sin q

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Q: A race car driver is driving laps around a track. Every 2 hours the speed of the car is being noted ...

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