Find the volume of the solid generated when the area bounded by the curve y = square root of x, y-axis, and the line y = 2 is rotated about the y-axis. A 28 pi / 5 24 pi / 5 13 pi / 5 D 32 pi / 5

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Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means o...

A: On solving this we will get:- Option (D) -12 sq. Units is correct

Q: 11) Use implicit differentiation to find the slope of the tangent line to the curve at the specified...

A: We will find the slope of the tangent line of the given curve at the specified point.

Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

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Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: 1 Evaluate lim(cos0)1-cose

A:   It is given that, limθ→0cosθ11-cosθ. Let y=cosθ11-cosθ.   Take log both sides the above equation. ...

Q: C. Bernoulli's Equation 5. (y* – 2xy)dx + 3x²dy O when y(1) = 0

A: We have given a Bernoulli differential equation.

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...

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Q: Sx²sin(x)dx = -x²cos(x) + 2cos(x) + 2xsin(x) + c

A: Integrating by parts  . 

Q: 1. 2(2y? + 5xy 2y + 4)dx + x(2x + 2y- 1)dy = 0 2. y(y+ 2x - 2)dx 2(x + y)dy = 0 3. xydx - (x² + 2y²)...

A: As per our guideline we supposed to answer only first question to get remaining kindly post again To...

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Q: dx

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Q: 11. If x is a right endpoint and f'(x) is positive on the interval to the left of x, then f(x) has a...

A: Given

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A: Given function f(x)=17+4x-x2   ; [0,5]

Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

A: We can use exponential decay function to module the given data

Q: SOLUTION

A: We will perform the integration by parts. 

Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find. 

Q: 1 )dx 4.

A: We will use substitution method to solve question 4.

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Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: Find the volume of the solid generated the area in the Ist quadrant bounded by the curves y = 3x - x...

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Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A ...

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Q: S sinxcos(2x)dx

A: We need to evaluate the following integral I = ∫sinxcos2xdx Formula Used: ∫xndx = xn+1n+1+C

Q: Find the area bounded by the curve 2x + 4x + y – 0 and the line y + x = 0 1 1.125 1.525 1.823

A: We will find the area bounded by the curves. 

Q: 1.f(0) = (금x* + 3)" %3D

A:

Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...

Q: f(x, y) = x2 + Sxy + y2 O f(8,0) = 64, local minimum; f(0, 8) = 64, local minimum f(0,0) = 0, saddle...

A:

Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: Find the area of the parallelogram that has u =i – 2j + k and v = 3j +k as adjacent sides. NOTE: Ent...

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Q: The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

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Q: Evaluate the following using trigonometric substitution: dx Vx2 + 2x – 15

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Q: find the area of the Shaded Part AUsing Polar y =2X

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Q: Find the solution of the following differential equation by Laplace transform with itial conditions ...

A: To solve the differential equation dxdt+2x=2 by the use of Laplace form. Given information: The init...

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number ...

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Q: e. z = In z,ze f. z z = logz, 2, Zd Zh

A: Please see the answer below.

Q: (

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Q: MY NOTES Find the volume V of the solid obtained by rotating the region bounded by the given curves ...

A: Topic = Volume

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the v...

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