The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to the base and parallel to the y-axis is an equilateral triangle.

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A: Given that fx=x3-6x2+9x-1We have to find the maximum and minimum points. 

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A: Washer Method : If f(x) and g(x) are two continuous non-negative function on a,b and f(x)≥g(x) on a,...

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Q: Predict how many roots in the graph of the polynomial

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A: We have -i-11-iV1V2 = 00

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Q: Question 5 Find the volume of the solid generated bounded by x = Jy – 1, x = y² – 2y + 1, rotated ab...

A: ANSWER : The given equation of parabolas are x=y-1 and x=y2-2y+1=y-12.  

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Q: Match each solid pyramid to its surface area. Answers are rounded to the nearest square unit. 436 sq...

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Q: A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. About h...

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Q: ( n²x, 0<x<1/n fm (x)={ --n²x+2n, 1/n<x<2/n L 0, 2/n<x<1 uniformly convergent on [0, 1]?

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Q: e? Is the coIS nplion matrix corresponding to this economy proc

A: The complete solution is in given below  

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Q: CALCULATE I = 2² + y² + z*dædydz, WHERE "T" IS THE CILINDER 2² + y? < 1,0 < z < 1.

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Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

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Q: The integral expression: / Ocos?20 d0 can be evaluated by parts of the form: udv =uv - / vdu. The pr...

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Q: (-8, 5,0

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Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

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Q: Let A be an invertible matrix. Show that if v is an eigenvector of A belonging to the eigenvalue A, ...

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Q: 2. Use the Gauss-Seidel method to obtain the solution of the following system of linear equation: 0....

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Q: Use Lagrange multipliers to find all points on the cone z2 = x² + y² that are closest to the point (...

A: The solution has been given below.

Q: min 4a1 + 5xз subject to 2x1 + x2 – 5x3 -3x1 = 1 + 4xз + х4 — 2 Ti > 0,і — 1,2, 3, 4.

A: As per Bartleby guidelines we're supported to answer only first one question when two or more questi...

Q: Tutor Rita just got a babysitting job. She will work about 10 hours each week and make $9 an hour. H...

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Q: Find the volume of the solid generated by revolving the area bounded by x - y? + 6y – 9 = 0 and %3D ...

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Q: Obtain the moment of the area generated by x = 2a, bounded by x= y and x2 2ay.

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Q: Given the vector function: 7(t) = (e', e' sin(t), e cos (t)) Determine the equations of the normal p...

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Q: 2. Find the solution of the given initial value problem using Method of Variation Parameters (MVP): ...

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Q: What is the resulting matrix? ( 2 0 -5 ) * ( 21 -8 -31 )T

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Q: The auxiliary equation for the given differential equation has complex roots. Find a general solutio...

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Q: Find the Laplace transform of (e^ (2t)) sinh (4t) (-s^3 + 11s 2 1. (e^ (3t)) cos (5t). A. 56s + 196)...

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: A police car is located 50 feet to the side of a straight road. A red car is driving along the road ...

A: At time t = 0 the distance between red car and the police car can be found by using Pythagoras theor...

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Q: a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find p...

A: Given, u=1,-2,6,v=2,-5,-2 and w=a,2,-1 We have to find projvu and  projwu.  

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x?...

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Q: 2 If s Sinants COs ant 3 an= ০ । A. limitdoes not exist 2.

A: Series and sequences

Q: Using the Egyptian division doubling/halving method, solve 13/7

A: We can use the Egyptian division doubling method to get the answer. 

Q: A car sales agent sold a car for P280,000 and he received a commission of P35,000. His rate of commi...

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