A solid has a circular base of radius 20 units. Find the volume of the solid if every cutting plane section perpendicular to a certain diameter is an equilateral triangle. O 18475 O 14875 O 15478 O 17584

Q: List all the groups of order 91. You must justify your answer

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Q: Q2. The differential equation +p(x)y+q(x)y² = r(x) is known as Riccati's equation. If one dy dæ part...

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Q: (c) Let p, q and r be three propositions for which p and q are true, and r is false. Determine the t...

A: Here we have to find truth value of given boolean expression with value of p as true, q is true and ...

Q: solve for the unknown terms by the method of: 100 100 100 100 4 -1 1 X1 |-1 X2 4 -1 1 -1 4 -1 X3 1 -...

A: The given system of equations written in the matrix form are as follows:-4-1010-14-1010-14-1010-14-1...

Q: The space X = {0,1} with topology T = {0, {1}, {0, 1}}) is To but not T Select one: O True O False

A: Discrete spaces are always T0 , So X is T0 .  A space X is a T1 space if and only if  for each x∈X, ...

Q: ded on the y-axi

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: Which of the following function

A: Introduction: The formula for the Maclurin series is given by, f(x)=f(0)+f'(0)1!x+f"(0)2!x2+f'''(0)3...

Q: Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G...

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Q: R.1. Suppose A – BC Cn D and x E A. Prove that if x ¢ D then x E B.

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Q: 4 A = a - (;) 8 -5, Find the inverse of the Matrix:

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Q: Noman would like to have $50,000 in 16 years to give to his son to help pay for his university educa...

A: As per the given condition the person wants to make his money goes up to $50000 in 16 years, if the ...

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is 39

A: The permutation formula is defined as follows:

Q: 6) The wave equation, subject to the given conditions

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Q: Find the values of for which :=,0) and": =(a.1) are 4a-4 linearly independent in *".

A: To find the values of a for which the below vectors are linearly independent in R2. v1=4a−4, av2=a, ...

Q: mol x 23 L L O mol 2.0947 mol 2.0947 x 2.70 L = mol L 944.21 g + 0.38 mL mL

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Q: he Borda method to determine the winner of the elect e are 4 candidates. They are A, B, C, and D. Th...

A: In Borda count the points are assigned  as follows club 1 2 3 4 number of votes 40 25 30 18 F...

Q: In a community in which R elderly people and people with comorbidities are susceptible to a particul...

A: To determine the percent of susceptible that had been infected after 6 weeks.

Q: b) Find the inverse ztransform of the following: i z's zl2|sin 3 2(2/2/cos 3)z+|2/F] zz(z*+4z+1) 1 (...

A: We will use the basic knowledge of the theory of z-transforms to answer all the three subparts of th...

Q: 2. Prove the reduction formula: (5 pts) n-1 sin x cos n - n-2 | cos" xdx = cos" xdx

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Q: Four snail friends are out racing. They are able to go fast at the beginning, but they become tired ...

A: The speed of four snails is modeled by the below equations. kx=13logx+3gx=logx+logx−1hx=log2x−logx+1...

Q: • V, = x - 2 • Y, = -x. %3D + X x y y -2 -2 -2 -1 -1 -1 0. 1 2 1, 2. 2) 1.

A: Here, we are given three functions. We need to find the corresponding tables and draw the graphs of ...

Q: / Find the value of the Constant a& b such thet X > 2 fex)=} ax +b iif fer) is Continuny 3 bx - 2, x...

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Q: Match the solution curve with one of the differential equations. y" + 2y' + 2y = 0 o y" + 2y' + y = ...

A: From the given solution curve we see that the curve is periodic with a period of 2π.

Q: 2. Given the points (1,0.7),(2,0.73),(3,0.8),(4,0.75),(5,0.6). Use Lagrange polynomials to find the ...

A: Given points are xi 1 2 3 4 5 yi 0.7 0.73 0.8 0.75 0.6 Here, i=0, 1, 2, 3, 4.

Q: Ordering Fractions best shows the fractions ordered least to g 2) 5 7 3. 3) A. 10 10 10 3 7 В. 10 10...

A: We have to find the ascending order of the given functions.

Q: 2. (a) Find the eigenvalues and bases for the eigenspaces of A and (b) use part (a) to find the eige...

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Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: If f(x) = 1– In (3x) does f(x) have an inverse? Give reasons. If there is, get the inverse function,...

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Q: What is the Pythagorean theorem

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Q: Question 3. Let u = (1, 1, 1) E R³ and denote U = span(u). Let W = {(x1, X2, 13) E R³ : ¤1+ x2 + x3 ...

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Q: J= cm, M] Then 18.1 Lete f be anturaes on ta, bi. Than, t is laanded. Mreaver, f lais it; Imaximam a...

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Q: IFA = : ) and B = ( 3 If A = 4 5 10 find -2 -5

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Q: Express the following in the form a + bi, where a and b are real numbers: 60i-11

A: Introduction: Like a real number, the square roots of a complex number can also be determined. A com...

Q: Consider the set S= {x €N|x is odd and 10<x<30}. Determine the cardinality of the power set of S.

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Q: 1-z Let C: |z-i|=9. Then ſ. dz = z(z+1) а) 0 b) 2пі с) — 2пі d) 4ni e) —4лі f) 2п O a. O b. O c. d. ...

A: Given C: z-i=9 We will find the value of∫C1-zzz+1dz Cauchy's Integral Formula: Let fz be a function ...

Q: solve for the unknown terms by the method of: 100 100 100 100 100 4 -1 1 X1 X2 X3 X4 X5 -1 4 -1 1 -1...

A: We used a, b, c, d, e for x1, x2, x3, x4, x5 respectively for simplicity.  

Q: ams per Liter. Given that the concentration of salt in the water varies linearly as a function ρ(y) ...

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Q: a is a real number. Which number line does not show a anc O A) O B) -a

A: If two numbers are opposite , then one must be on the left side and zero and another on the right of...

Q: The infinite series > п - 1 is divergent. Then for any nonzero constant c, the series 2n + 1 n=1 п-1...

A: The given question is related with infinite series. Given the following statement :    The infinite ...

Q: Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 0. 1/3 2/3 1...

A: Simpson's rule states that:∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an...

Q: 6. How many mappings are there from A to B where A={1, 2, 3, 4} and B = {Low, Middle, High}. How man...

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Q: The function f is defined by f(x) = ax +b . Given that f(-2) = 27 and f (1) = 15 find the value of x...

A: Given that f(-2) = 27   and  f(1) = 15 we have to find value of x such that f(x) = -5

Q: Solve the initial value problem: 12y" - y'-y 0 y(0) = 1 y'(0) = -2

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Q: If Z1 =1- j3, Z2=-2+ j5 andZ3 =-3- j4, determine in a + jb form: Z1Z2Z3 О а. -5- ј85 О Б. 5+]85 О с....

A: We have to multiply the given three complex numbers.

Q: 1. Which of the following is an inte

A: The gamma function can be expressed in integral form  

Q: QUESTION9 Consider the Binary search tree below. A node containing data 10 is inserted. where the no...

A: In a tree diagram, the elements of the tree are called nodes. The line connecting the nodes are call...

Q: 18. 9y" – 6y' + y = 0, y(0) = 3, y'(0) = 1 %3D

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: Sketch the cardioid r = 3 cos 0 and find the coordinates of the points on the cardioid where the tan...

A: Given polar equation is r=3cosθ

Q: On Sandy's scale drawing of the school campus, 3 inches equals 12 yards. The distance between the sw...

A: Given that: Distance between the swings and the track = 15 inches on the drawing  Distance between t...

Q: sing the shell method, obtained by rotating the region bounded by y = x^3, y = 8, and x = 0 about th...

A: Given, The solid is  obtained by rotating the region bounded by y = x^3, y = 8, and x = 0 about the ...