A hole is drilled through the center of a sphere x +y +z? = R,', leaving a ring-shape solid. If the drill used is cylindrical in shape with radius Rd, use polar coordinates to formulate the volume V of the remaining solid.

Q: (b) f(x) = where A; E S™ – (det(Ao + x1A1 + ...+ xn An))/m, on {x | Ao + ¤1A1 ++xnAn > ► 0},

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Q: grating factor of (x²y – 2xy²)

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Q: Find the prime factorization of the number. 32,625 O A. 3°.52.29 O B. 3*- 29 OC. 5- 29 O D. 3?.53.29

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Q: Find the volume of the figure below. 688.52 cm3 4 cm 4 cm 703.97 cm3 14 cm 720.34 cm3 755.16 cm3 12 ...

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Q: Hw/ sketch y= Log!x) Inverse of its function [y=2*] Sketch y=Log (x) f Compave it with y=()* V2

A: Solution :- (1) Plotting y = log2x and y = 2x  

Q: 1. Consider the following groups G and H, K < G. If G is isomorphic to H × K, give an isomorphism v ...

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Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

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Q: = [Copy of] Radical Transformations Mary Everest Boole 16 of 23 Next Challenge #6 + In row 2, write ...

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Q: Use the substitution x = e' to transform the given Cauchy-Euler equation to a differential equation ...

A: We have given Cauchy - Euler equation, x2y'' - 13xy' + 49y = 0 Since , x = et dxdt = et dydt = y'(t)...

Q: Q6) Use the rules of inference to show that the following hypothesis lead to the conclusion: CLO.5 m...

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Q: Perform the indicated operation without the use of a calculator and express each answer in decimal n...

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Q: The trustees of a college have accepted a gift of $100,000, but are required to deposit it in an acc...

A: Given: The trustees of a college have accepted a gift of $100,000 but are required to deposit it in ...

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Q: Before arriving at his famous conjecture, Goldbach had conjectured that every odd positive integer g...

A: Goldbach conjecture says that every integer greater than 5 is the sum of three primes.  

Q: %3D 9-C 26

A: Solve the equation  

Q: Find the root of f(x)=(x-4){(x+2)= 0, using the initial guesses of x, =-2.5 and Xy = -1.0, and a pre...

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Q: Example 2 Use Cholesky's LU factorization method to solve the system 16x, – 12x, – 12x3– 16x4 = 16 %...

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Q: ay + 2y = 3 dx %3D dy + 4y = x³ - x dx dy .2

A: A first order linear differential equation is expressed by the form  dydx+Py=Q Here, P and Q are eit...

Q: 3. Ca For all sels A. Band C. A-CRIC) = CA-B)NCA-C)

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Q: Does the commutative property hold for integers under the operation of subtraction? Given an example...

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Q: If f (2, y, 2) = r'yz + 23 then fyzæzzaz (-1, 1, 1) %3D

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A: Given X = 1 | 32  

Q: In "Break-Even Analysis", explain what is meant by the BREAK-EVEN POINT and then SHOW THE WORK (incl...

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Q: determine the increasing and decreasing values

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Q: 8) (_+ _)(_+ _ ) = x² + 9x + 18

A: Let us consider the quadratic expression ax2+bx+c then to obtain the factor of the expression x=-b±b...

Q: If f(x) = x2 – 5x + 7, what are the co – ordinates of the minimum of y = f(x – 2)?

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Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: If z=1+y , I= e' cos(s) and y=e' sin(s), then at (t, s) = (1,0) is as O-2e O 2e O 2e

A: if z=x2+y2 where x=et coss , y=et sins then find ∂z∂s at t,s=1,0

Q: Find the general solution to the differential equation y" – 10y' + 25y = 75x – 80 (where y' = ) dx

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Q: 29. In Theorem 9.8, if f'(x o) = 0, no conclusion can be drawn about the equilibrium point xo of x' ...

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Q: et M denote "Miyazono plays violin.", A denote "Arima plays piano." and S denote the Music is sorrow...

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Q: 4 Emission Cuts by Poor Countries A • 2 1 (larger cuts) 5 SQ 3 Emission Cuts by Rich Countries (larg...

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Q: 3. Consider the function f(t) = 2t? – 3t + 7 on the interval –1 <t <1 with periodicity P = 2 Give a ...

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Q: It is desired to roof a piece of land that is limited by 2 streets that form an angle of 90 and that...

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Q: why can't we divide by zero?

A: The reason for "Can't divide by zero" is given below. The reason that the result of a division by ze...

Q: dy - y In(ye cos *)dx = y cos x dx COS X

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Q: The message 22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1 was encoded with matrix A. Decode the mess...

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Q: Answer T if the argument below is valid; F if it is invalid. No vegetarians eat meat. All vegans are...

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Q: If f(x,y) =log, (cos (e* ))+ sin(x + y) then f (x,y) is ây ôx A) – sin(x + y) B) 0 C) cos (x + y) co...

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Q: Does the associative property hold for the integers under the operation of division? Given an exampl...

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Q: 1. a) Let x is n-vector and p and q are two constant n-vector. f(x) = ßx – q° - Ax – ql² is f(x) lin...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: (x - 3 bxy + 2 b?y?) (xdx + ydy) = xdy-ydx %3D

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Q: 167 in Four posts are used to support a fence. Each post is 4 inches wide and the posts are evenly s...

A: Solution