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Q: Find the indefinite integral ∫ 3x dx

A: With n=1 , and C=integrating constant

Q: The total annual spending by tourists in a resort city is $200 million. Approximately 60% of that re...

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Q: Find the formula for the volume of the region outside the smaller rectangular solid and inside the l...

A: The volume of the outer cube is = (a)(a)(3a)=3a3 The volume of the inner cube= (b)(b)(3a)=3ab2

Q: use Euler’s method to calculate the first threeapproximations to the given initial value problem for...

A: According to Euler’s method,

Q: Find the derivative of h(x) = (3x − 2x2)(5 + 4x)

A: We first expand h(x)

Q: Suppose that a wind is blowing in the direction S45°E at a speed of 30 km/h. A pilot is steering a p...

A: Given: The direction of wind is The speed of wind is 30 km/hr The plane in the direction of The spee...

Q: Determine a basis for the solution spaceof the given differential equation. y′′ + 2y′ − 3y = 0.

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Q: find the line integrals along the given path C. ∫C (x - y) dx, where C: x = t, y = 2t + 1, for 0≤ t≤...

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Q: Find the domain of the vector-valued function

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Q: (1– 1)y' – y² +x²y+2x = 0, Y1 = -x² %3D

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 4 + (I...

A: Given

Q: Find the points of intersection of the graphs of the equations. x − y = −5 ...

A: From x-y=-5 we get y=x+5 Then we plug it in the other equation and find x.

Q: Solve: e2x - 4ex + 3 = 0.

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Q: Multiply or divide . [(x3 - 8/x2 - 4) . (x + 2/3x)]

A: We factor the expressions first.

Q: Find equations of the lines passing through (2, 4) and having the following characteristics. ...

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Q: Let a, b, and c be the sides of a triangle and let 0 be the angle opposite c. Use the Law of Cosines...

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Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminantindicate about the number an...

A: The discriminant of 4x2 - 8x + 1 = 0 is:

Q: Using vectorsProve that the diagonals of a parallelogram bisect each other

A: Using vectors we need to prove that the diagonals of a parallelogram bisect each other.

Q: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integ tan? 2x = 3

A: simplify the equation. tan22x=3 tan2x=√3, -√3

Q: Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at ...

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Q: Sketch the graph of the function. (Include two full periods.) y = 3.

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Q: Solve equation. |x2 + 6x + 1 | = 8

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Q: coordinates of the gen polar coordnate. Then plot the pot (4) (-T. S4) (4 Sa (0 (4-s)

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Q: Q3. (a) Mention the engineering application of interpolation and integration. (b) The

A: To Find the engineering applications of interpolation and integration

Q: Write the equation ln A = 3 in exponential form.

A: We will use the exponential form of the natural logarithm.

Q: Graph y = - 4 in the rectangular coordinate system.

A: Here the given y=-4. Since y=a is a parallel line with the x-axis.

Q: The position of an object moving vertically along a line is given by the function s1t2= -4.9t2 + 30t...

A: Given Data The function of the position of an object moving is s(t)=-4.9t²+30t+20. (a) The express...