Find the volume of the solid generated by revolving the region bounded by the graphs of the equations - 2? + 3 y = 0 x = 0 around the line æ = 7.

Q: Given the differential equation y" - 8y' + 16y = 5x? e4* (1) Find the combined differential operator...

A: First I have written the given differential equation into operator form and then find the auxiliary ...

Q: 6x³ – 1 у — 2х + 1 3x* - 4

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Q: a population of 7.2 million grows at a constant percentage rate.  1. what is the population 1 centu...

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Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = 6x from...

A: moment about the x axis is given by Mx=12∫abf(x)2-g(x)2dx

Q: Function Type Differential Operator ... AxN + BxN-1 + . + C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx...

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Q: Function Type Differential Operator AxN + BxN-1+..+C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D? +...

A: To determine the differential operator for the right side of the given differential equation.y''+4y'...

Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

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Q: Find the equation of the tangent line at (3, f (3)) when f (3) = 20 and f' (3) = 4. (Use symbolic no...

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Q: the rate of change in thr profit (p) with respect to the number of units sold (x) is 0.0006x^2 +10. ...

A: We can use the given equation to solve for profit

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f(t) = 2e sin 4t,...

A: Let's find. 

Q: f(x,y) = 100x062y0 38. Find the marginal productivity of labor and capital.

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Q: Question 1 If f(x)dx = 5, Lf(x)dx = 2, and fi f(x) dx = -1, find f(x)dx. ... А.) —2 В.) 2 С.) —3 D.)...

A: ∫ab f(x) dx =-∫ba f(x) dx ∫ab f(x) dx = ∫ac f(x) dx +∫cb f(x) dx

Q: Find the general solution of the differential equation æyl + 2y! – (x + 2) cos (x) + y = 0 and choos...

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

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Q: 10. A bus is traveling at 66 ft/sec along a straight, level road decelerates at constant rate of 22 ...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: To find the General Solution, we match each part of our Differential Operators to the table below, w...

A: option D

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Follow the procedure given below.

Q: questions

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Q: The limit represents a derivative f' (a). Determine f (x) and a. 6h lim h 1 h-0 (Express numbers in ...

A: find fx and alimh→06h-1h

Q: 1 R(t) = 2 sin(t) – 4 cos(1)

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Q: 2. A particle of unit mass moves so that displacement aftert seconds is given by x = 2 cos (t - 2). ...

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Q: Given a function f (x) whose graph is shown below. (6,5), (1,4) (-4,2), 2 (6,2) -6 -4 -2 2 4 -2마 9(1...

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Q: I. Determine the Fourier series of the following J sin(t) (0 <t<T) (7<I<2x) f(t) = a. Half-wave reci...

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: Consider f(x) = 1 – x for 0 1: an b) O an = c) O ao = 1/2, and for n > 1: a, = 4(1+ cos(nT/2))/n²n²...

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Q: For each of the following functions, find the indicated derivative using the definition. Note must f...

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, ...

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

A: Given problem

Q: Find all the second-order partial derivatives of the function f(x,y) = 4x2 + 9y + 7x2y?.

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Q: If f(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find f(x)dx. %3D %3D %3D ... А.) —2 В.) 2 C.) -3 D.) 3 ...

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Q: C 1000 A В

A: We know that sum of angles of triangle  &lt;A+&lt;B+&lt;C=180°  &lt;A+27°+94°=180°  &lt;A+121°=180° ...

Q: een Sketch the sold and a typical disk or washer. Graph Graph Description Graph Graph Description Gr...

A: Given:- y=ex , y=0 , x=-2 and x=2  To find:- Figure of solid rotating region bounded by given curve ...

Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: Sketch the region enclosed by a + y = 6 and æ + y= 0. Decide whether to integrate with respect to a ...

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Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. 32 A.) s.u. B.) 18 s.u. C.) 36 s.u. ...

A: Follow the procedure given below.

Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

A: This question is related to Functions, we will solve it using given information. 

Q: Q1 (а) Calculate the first-order differential equation below using transformation y = xv. dy х +3у%3...

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Q: Find f'(t) for the function f(t) = est +sin(t) 2t Do not simplify the expression you get. 2t(3et +co...

A: To find f't of the given function.ft=e3t+sint2t

Q: dx so that the resulting integral is integrable? What should be the rewrite of the integrand of 1+co...

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Q: 1 k + 2 k=4

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Q: Find or evaluate the integral using an appropriate trigonometric substitution. +3 x2 dx 4 + C

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Q: 18. A bus traveling at 66 ft/sec along a straight , level road decelerates at constant rate of 22 ft...

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Q: *Problems Involving Continuity A. Tell whether each given function has a solution on the indicated c...

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Q: Operators. Unlike with the Left Side of the differential equation, we will not be able to factor, bu...

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Q: Given the geometric sequence: 36, 120, 400, ... Find an explicit formula for an, where the first ter...

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Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

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Q: An isosceles triangle has an area of 22 cm2, and the angle between the two equal sides is 5?/6. Find...

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