How you express appreciation for mathematics as a human endeavor

Q: Explain how to find the circumference of a circle with a radius of 4 inches .

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Q: In Exercises 1-14, find the characteristic polynomial ar the eigenvalues for the given matrix. Also,...

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Q: Find the volume of the solid generated by revolving the region bounded by y = x2 +1, y = x+ 3 about ...

A: The volume of the solid of revolution  about x-axis is obtained as Volume=∫abA(x)dx Where A(x)=πoute...

Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't e...

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Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с) ...

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Q: Considerthreemappingsα,β,γ:Z→Zdefined by α(n)=2n−1, β(n)=(n−1)^2, γ(n)=(n−1)^3

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Q: 1. Choose a number and apply the following operations to it. Multiply the number by 6, and subtract ...

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Q: [16 6 5 12 If we multiply matrices B =|1 11 and C = |-9 1 -5 , which of the following is 8 14 6 -11 ...

A: Given B = 16-711138andA = 6512-91-5146-11

Q: Let T:M_2 -> M_2 be the linear transformation given by a b 0 1 a b T с d c d 1 1 Find the matrix of ...

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Q: QUESTION7 Let g be a fixed element of a group G.Prove that H = {x EG: gx = xg } is a subgroup of G.

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Q: (MULTIPLE CHOICE) Which of the following equations is(are) Bernoulli? dy = tan?(x + 5) dx dy Зхуз + ...

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Q: Apply the secant method to solve ƒ(x) = e*² In x² – x = 0. Discuss the procedure for dealing with mo...

A: We are given the following function. f(x)=ex2lnx2-x=0 We have to solve by the secant method. Note th...

Q: 2. (2 + j)(3 – j2) = a + jb 3. (x – j2y) – (y – jx) = 2 +j b =? x =? y =? a =? | |

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Q: Define the binary operation * on the set of rational numbers as : a*b = ab + a -b. What should be th...

A: Given binary operation is a*b = ab + a - b

Q: II. Find the area of A ABC with the given measurements. Round to 1 decimal place. 6.) B = 130°, a = ...

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Q: Question 8 Find the order and degree of the following differential equation. 7(d*y/dx4)2 + 5(d?y/dx2...

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Q: Use the graph below to answer the questions that follow: a. What type of graph is this? Answer: b. H...

A: To find the given questions based on graph. 

Q: Which of the following numbers can be the order (aka the number of elements) of a finite field? 701,...

A: The number of elements of a finite field is called its order or, sometimes, its size. A finite field...

Q: The velocity of a particle at position r = (x, y), in two-dimensional Cartesian coordinates, is give...

A: It is given that velocity of the particle is, v=(αy, αx) at position vector, r=(x, y) It is known th...

Q: 1. Let z and w be complex numbers. (a) Show that |1+ z w² + |z – w2 = (1+|z|?)(1+ |w/?). (b) Show th...

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Q: IV. Solve. Round to 1 decimal place when appropriate. 7.) An h-meter telephone pole casts a x-meter ...

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Q: S cos²(2x)dx

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Q: Solve the equation: 8e = 16i

A: Given equation is : 8  ez = 16 i⇒ez = 2i let  z = x + iy ⇒  ex + iy   = 2i⇒ex (cos(y) +i sin(y)) = 2...

Q: ),22 %3D Problem I. Given z, = 3el(T76), z, = 2eiT/4), find: 1. Z1 + Z2 2. Z1 - Z2 3. Z,Z2

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Q: 4. Vector A S has a magnitude of 35.0 units and points in the direction 325° counterclockwise from t...

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Q: In a table, list down 3 original examples of domain and range in real-life scenarios related with yo...

A: The real-life scenarios to understand domain and range are given as follows:

Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

A: As per the question we have to find the value of Csch-1(-2.0807+4.5465i) in rectangular form with 4 ...

Q: QUESTION 11 Let G= be a cyclic group of order 8. Find all the distinct subgroups of G and list the e...

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Q: dy - y = e*y? dx

A: Let us consider the given differential equation dydx+P(x)y=Q(x) To solve the differential equation  ...

Q: If HK is an altitude then the m25=

A: The altitude of a triangle is also called the height of the triangle. We need to determine m∠5.

Q: Find the volume of the figure below. 15 yd 12 yd 15 yd cubic yards

A: Here the base is a right angle triangle whose legs are 12 and 15 yards. The height of the base from ...

Q: Disjoint Set 4. 1. If every element of A is oalso an element of B. If the they have common element I...

A: We know that if two sets are disjoint then they don't have any element in common. Elements of two di...

Q: QUESTION 7 Match each measure of center with its definition. v mean A. the middle value of a dataset...

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Q: 4. If ak is a nonnegative sequence and E,ak converges then 2k=1@ki aki subsequence of a. 5. If Eak i...

A: 4.it is true ,since

Q: Obtain general solution of the D.E. y' + (1/3)y = e%y4

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Q: Part 3: Determine whether B is the multiplicative inverse of A. Show your solution. -1 0 -1 1 -, (5)...

A: A square matrix Y is said to be the multiplicative inverse of another square matrix X if their produ...

Q: Solution of dy/dx + 2xy = y is A. y = ce" B y=ce**-x y = ce y=ce-

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Q: 3. Let 2 be an open bounded domain in RN partitioned into 1 and N2 (see figure below). 225 Let fi an...

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Q: 5. All are examples of tautologies that are implications except A. (pa q) →p В. p - (pa 9) 9 - (pVq)...

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Q: Factor 12u - 20. Write your answer as a product with a whole number greater than 1. (0)

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Q: What are the roots of the auxiliary equation corresponding to the DE 6y" + 11y"-y-6 = 0?

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Q: Using the key matrix A = %3D

A: Given,          A=3221

Q: 5. (15 points) Set up and solve a linear Diophantine equation to find every combination of 24 coins ...

A: We know that,2 dollars = 200 cents1 dime = 10 cents1 nickel = 5 cents1 quarter = 25 centsLet us supp...

Q: Prove that the sum of two symmetric positive definite matrices A and B is positive definite (A+B) me...

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Q: Evaluate the following integrals. 1. /'e"z de 4x sec 3

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Q: 3. Convert the decimal expansion of (231)10 to a binary expansion a) (1100111), b) (1110011)2 c) (11...

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Q: If f(z) = eV8 2' then the simplify form of f(z) is: %3D A) f(z) = i e-2VZ %3D B) f(z) = -i e²vZ C) f...

A: given fz=e8-π2i simplify form of fz is? solution it is known that  eiθ=cosθ+isinθ thus e-π2i=cos-π2+...

Q: Perform the following as indicated. Show your complete solution to earn maximum marks If (x + yi) /i...

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Q: Eliminate c, x?y = 1 + Cx A (2+x²y)dx + xdy = 0 B B (1+x³y)dx + x²dy = 0 © (1+x?y)dx + x³dy = 0 D (1...

A: Using the quotient rule of derivative, it can be written that: fg'=f '·g-g'·fg2.

Q: 4. All are examples of propositions except x +7 = - 3, if x = 12 x +7 = -3 x + y = y + x, for every ...

A: We have to find from given options which is not a proposition.