What is row 5 of Pascal's Triangle? O 1, 4, 6, 4, 1 O 5 Co+5 C1+5 5 C2 +5 C3 +5 C4+5 C5 O 25 O5 Co, 5 C1, 5 C2, 5 C3, 5 C4, 5 C5

Q: 3. The polynomial f(x) = 0.0074x* - 0.284x + 3.355x - 12.183x +5 has a real root between 15 and 20. ...

A: Let,  f(x)=0.0074x4-0.284x3+3.355x2-12.183x+5 Hence, f′(x)=0.0296x3-0.852x2+6.71x-12.183   The initi...

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A: We have to find the value of A0 in Fourier series of given f(t).

Q: Determine the set which is equal to this infinite union: 7 n=1 Justify your solution.

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Q: The partially completed table below shows the ten basic solutions to the following e-system. Of the ...

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Q: 25. Solve the equation tan x+3 =0 for exact solutions over the interval (0, 27). 0.

A: Let us consider the tan function that is y=tanx The domain of the function Domain=R-(2k+1)π2 The ran...

Q: 5+5×2

A: To calculate the result, we use BODMAS rule. In BODMAS rule, the order of the operations are here: B...

Q: Find L{f(t)} using the First Shifting Theorem. Note: a, b, e, w, k and n are constants. 1. -kt 2. L{...

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Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

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Q: The first 5 terms in row 26 of Pascal's Triangle are 1, 26, 325, 2600, 14950. 5 terms in row 27 are:...

A: Pascal triangle row

Q: (-4r+16y= 7 -2r+3y 0 Which of the folowrg chanpes to the Imear system above will produce a system wi...

A: Introduction: Each equation of a system of linear equations represents a straight line. Two straight...

Q: P3 (coordinates and basis) Let ra M = = 2f,b = 2g +h,c = 3g - i,d = g+i, e = 3h e g h il a) What is ...

A: Given that M=abcdefghi:a=2f,b=2g+h,c=3g-i,d=g+i,e=3h We have to find the maximum possible dimension ...

Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the harmoni...

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Q: Find L{f(t)}using the First Shifting Theorem. Note: a, b, e, w, k and n are constants. 1. L{Se" sin ...

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Q: H.W: Evaluate the integral 1 1 2 y? || x²e*ydxdy || dxdy 1. 2. 0 y 1 у

A: The double integartion is of the form ∫R∫f(x,y)dxdy, ∫R∫f(x,y)dydx,  On changing the order of the in...

Q: 1. y" – 2y' = sin 4x 2. y" + 6y' + 9y = 1+x 3. y" + 2y' + y = xe-* 4. y" + y = e* + x3 y(0) = 2; y'(...

A: 1.) y''- 2y'= sin4xAuxiliary equation is m2-2m=0⇒m(m-2) =0⇒m=0, 2y(x)= c1+ c2e2xPI= sin(4x)D2-2D= si...

Q: 19. Which of the following polar functions is a limacon with dent? A) r= 2+2 cos 0 B) r= 2+5 cos 0 C...

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Q: The following is correct application of Hypothetical Syllogism: [RƆ (QƆ S)] Ɔ (C V D) (C V D) Ɔ (QƆ ...

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Q: You decide to take a trip to Japan to see Mt. Fuji in person. But while you are there, you can bring...

A: Given The Carry -on Baggage Check Box has dimensions of approximately 22'' × 14 ''x 9 ''

Q: 7. Consider solving the initial value problem dy yt²- 1.1y, dt y(t = 0) = 1, from t 0 to t 1. (a) Fi...

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Q: 2. Use Cramer's Rule to solve the linear system. 16х, — 12х, — 12хз — 16х, = 16 -12x1 + 25x2 +x3 – 4...

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Q: vn n² + 2- n=1

A: Test of convergence of the series

Q: Use the Gauss-Jordan technique to solve 3x1 – 0.1x2 – 0.2x3 = 7.85 0.1x1 + 7x2 – 0.3x3 = -19.3 0.3x1...

A: we have given the linear system of equation 3x1-0.1x2-0.2x3=7.850.1x1+7x2-0.3x3=-19.30.3x1-0.2x2+10x...

Q: 18. Which of these is a conservative vector field given that all fields are open and simply-connecte...

A: A vector field is said to be a conservative vector fieldif it is equal to gradient of some scalar fu...

Q: 1. Verify Green's theorem in the plane for 6 (3x- 8y) dx + (4y – 6xy)dy, where C is the boundary of ...

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Q: Your team will be playing 13 basketball games during the first season. In how many ways can the team...

A: Multiple:    Here total 13 Basketball games. Also there are 8 wins , 2 losses and 3 ties. We know th...

Q: Fihd the Laplace transform of f (x) = x. Answer: a. b. 2 C. d.

A: Given f(x) = x2

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Q: . Prove that there is no distinction between contravariant and covariant vectors if the transformati...

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Q: (c) Suppose that A is an n x m matrix full of zeros. Derive the More-Penrose pseudo-inverse of A. Ex...

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Q: Using the graphical method and Excel application, approximate the root of the equation x - e-* = 0, ...

A: Here, we need to find the roots of x-e-x=0, x∈[-2, 2]. Let us take f(x)=x-e-x. First, we will find t...

Q: The particular solution is x = u=24, v= y = W = and M = - 12.

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Q: Let X be a distribution of claims as follows: Aggregate claims paid in the layer 300,000 Amount of i...

A: Given , Amount of individual claim Number of claims in the layer Aggregate claims paid in the lay...

Q: 35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 ...

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Q: 49) Let P(z) = ao + a1z +……. 1 order n at o∞. Consider + anz" be a polynomial of degree n. Show that...

A: Given that Pz=a0+a1z+a2z2+⋯+anzn be a polynomial of degree n.Then, an≠0. We have to show that 1P(z) ...

Q: ) Consider f(x) = x3. Write the linear approximation of f for x near 2. Let’s call this linear appro...

A: please comment if you need any clarification. if you find my answer useful please put thumbs up. Tha...

Q: One angle of a triangle is equal to the sum of the other two. Show that the sum of two exterior angl...

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Q: Prove each of the following assertions: 1. a is valid if and only if Truea.

A: Since you have post multiple questions, so as per our company guidelines, we can solve first questio...

Q: Problem 18: Find the area of a polygon with vertices at ( -5, 0 ), ( 2, - 4 ), ( 5, 2 ), ( 3, 5 ) an...

A: we have given a polygon with vertices (-5, 0), (2, -4), (5, 2), (3, 5) and (0, 3) we have to find th...

Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly 1...

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Q: Fit y = ax to the data in the following table using a logarithmic transformation and determine the c...

A: A general linear function is defined using the equation: y=ax+b. The least-square regression techniq...

Q: Show that F(x, y) = x² + 3y is not uniformly continuous on the whole plane.

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Q: Isosceles triangles were used as the main geometric figure in the patches used to make a tent. The e...

A: Area of isosceles triangle = 12×a×b×sinθ, where θis the angle between the sides with length b and c....

Q: Use the Laplace formulas to get L{f(t)}. 6) f(t) = 1) f(t) = 2t* 7) f(t) =- 2) f(t) = 4t – 10 8) f(t...

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three q...

Q: Find the dimension of the subspace U = {[x, y, z, t]|x+4y-z = 0; x-2z+ t= 0}. Select one: a. 4 b. 2 ...

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Q: Problem 21: Determine the point of division nearest to A that divides the line segment from A( 7, -2...

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Q: Solve the equation: [#]+1=1 x – 3

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Q: cross section is made parallel to the bases of a right triangular prism. Which of the following stat...

A: Given: A cross section is made parallel to the bases of a right triangular prism.

Q: The number of centralizers of a finite group. Let G be a finite group. A subgroup of G may be the ce...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want anys...

Q: Use the laws of set theory to solve both items! (AnB)U[Bn(CnD)U(cn)| А. AO(B A) | В.

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x² – x - In(x) (a) Fin...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...