Problem 1. Solve the linear system Až = 6, where -- - - A:= 2 -5 and b:=

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Q: 1) A regular hexagon with a side length of 4 cm has an exact area of 24/3 cm². What is the exact are...

A: 1 We have to find the exact area of the similar hexagon with a side length of 14 cm. The area of the...

Q: Explain why F, contains a primitive nth root of unity if and only if p = 1 mod n. Hint : Use the dis...

A: To prove  Fp contains a primitive nth root of unity if and only if p≡1mod n (or n divides p-1).

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A: Given Total students = 20 males = 11 females = 9

Q: 2. The Batmobile travels in a straight line such that t seconds after passing through Arkham, its ve...

A: We will use the basic knowledge of differential calculus to answer this question. Please note this i...

Q: M for $1,000,000, with monthly payments and monthly compound There are no rate caps or floors. Suppo...

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Q: 5. Find the Taylor series for f(x) = centered at a = 4. 1.3.5..... (2n – 1) |1+E(-1)"- (r- 4)" n! 23...

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Q: The P-test says that: • the series >. 1 converges ifp? 01 kP k=1 1 • the series > diverges if p ? 0 ...

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A: We have given that , V is a set of all real valued continuous functions defined on a , b with vector...

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A: ∫028x7dx x=b-a2t+b+a2 change interval a,b=0,2into -1,1 using x=b-a2t+b+a2 a=0,b=2 x=t+1 t=x-1      d...

Q: Successfully saved. Find the Laplace transform of f(3t), where f(t) = e-t cosh t sin 2t. Once you up...

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Q: Try to fit any two moving averages models to the following data and discuss its performance. YEAR 20...

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Q: etermine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest ...

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Q: 8. If the equation Ax = b has more than one solution for some b in R", then the columns of A span R"...

A: This is a problem of linear transformation.

Q: Determine the b, of the Fourier Series of: f(t) = { -15; -3<t<0 10 ; 0<t< 3

A: Introduction: Suppose, a one cycle a continuous periodic function is defined on the interval -P,P. T...

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Q: |°z\+|'z| |*z\-|°z| Z1 +z2 Z 2 +|z. Z3 + z, Prove: If Fs|#/z,) show that ' 4 VI

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Q: Match the figure with its net. Drag each figure to the box above its net.

A: If the base of a pyramid is a triangle, then it is called a triangular pyramid. If the base of a pyr...

Q: Find the selling price of a DVD set which costs Rs. 2039 and the markup is 30% on cost. What is the ...

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Q: 1. Determine if the series cos" (;) en? n=1 is absolutely convergent, conditionally convergent, or d...

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A: Introduction: The Laplace transformation of the function sint and cost is given by, ℒ(sinat)=as2+a2ℒ...

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A: Given as, The distance is given as, d=AP→sinθ

Q: Find the distance between u 4 and z 2 The distance between u and z is (Type an exact answer, using r...

A: Let us consider  two vectors u=x1,x2,x3 and v=y1,y2,y3 The distance between the vectors is obtained ...

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Q: Determine the a, of the Fourier Series of: -15; -3<t < 0 f(t) = } %3D 10 ; 0 <t< 3

A: Introduction: When a continuous function has a period 2P, the function can be expressed as a series ...

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear combina...

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: Let F(x) = dt. Find an equation of the tangent line to the curve y = F(x) at the point with x-coordi...

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Q: If f(t) = etsintcos3t, find L{f (t)} and L{f }.

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Q: 2. Country X decides to run a simulation to determine what would happen if they went to war with cou...

A: We will use the basic knowledge of ordinary differential calculus to answer this question properly, ...

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k2 = 0 and ...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Gwyneth is developing a computer game based on the popular game Battleships. The objective of the ga...

A: Introduction: An expression of the form ax2+bx+c is referred to as the quadratic expression. A quadr...

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A: We have given that a sequence ,  ln(n+1)1∞. We know that , A sequence an is increasing if an+1 ≥ an ...

Q: Given the integral: 4 dr. Evaluate using Romberg's method. Tolerance = Næ1o 6 %3D 1+x²

A: Use the following formulae, to estimate the integral ∫abfxdx by the Romberg integration method. h=b-...

Q: Laplace Integrals We shall derive the Fourier cosine and Fourier sine integrals of f(x) = e-k*, wher...

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Q: Use De Moivre's Theorem to find the identity of the following: a. cos 80 b. sin 90 c. cos 100

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Q: 5. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTION. (y')² + (x - 2r ) y' + x- - xt = 0 X - ...

A: We will use only the basic knowledge of differential calculus to answer this question properly, in d...

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A: Concept: We know that the opposite angles of a cyclic quadrilatoral is always supplementary.  

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H)+ K. where t...

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Q: Find the selling price of a DVD set which costs Rs. 2098 and the markup is 30% on cost. What is the ...

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Q: Find the volume of the solid generated of the area bounded by y - 8x and y - 2x, rotated about y- 4.

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Q: Use C.P. and/or I.P. to prove the following.  a) 1. (A ∙ O) ⊃B 2. B ⊃~O 3. A ⊃O                 ...

A: Note: The symbols and format in Part c are not proper, so we will solve the sub-parts a and b. Kindl...