Use summations to determine the number of print statements run in the following pseudocode. i = 1 while i <= n: j := 1 while j <= i: print "hello" j := j + 1 i = i + 1

Q: Use the Chain Rule to find dz/dt. dz dt || z = √√√ 1 + x² + y², x = 2 In(t), y = cos(t) 1 √1+ (Int)²…

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Q: (f) Let the columns of A be denoted by a₁, 32, 33, 34, and a5. Which of the following sets is (are)…

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Q: which

A: In first part we have to find, what is the average constituency of each state . For this we apply…

Q: κα Σ (20 + 1) sin2 δι l=0 = = κα κα Elsin de + Σ ( + 1) sin? δι l=0 l=0 ka 1 Σε (sin? δε + sin?…

A: As per the question we are given a partial sum involving sin function and we have to show the given…

Q: Use the function to find the image of v and the preimage of w. T(V₁₁ V₂) = (v₁ + V₂₁ V₁ V₂), v= (5,…

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Q: 1.Using finite difference method, solve y" - 64y + 10 = 0, y(0) = 0, y(1) = 0 by subdividing the…

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Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (v₂ - Vgr V₁ + V₂r…

A: Given linear transformation is Tv1, v2, v3 = v2-v1, v1+v2, 2v1 and v = (2, 7, 0),  w = (-5, 1, 6)

Q: (a). Determine the Fourier series for the 2p-periodic function given on the interval [0,2p) by f(x)=…

A: a. Hint: The Fourier transform of a function f(x) is…

Q: b The differential equation y + 2y³ = (y² + 5x) y' can be written in differential form: where M(x,…

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Q: 3. Express the limit as integral: n lim Σcos (27xt Ar 2(2πχ* ) over [0,1]

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Q: 8-3) het asb. below as follows y , and the region I= by using .x²+y² = a ² 2. R= {(x₁y) ER² | x²₂y²s…

A: Given: R=x,y | x2+y2≤a2, x2a2+y2b2≥1, y≥0 To find, the integral I=∮Cy1+xdx+x1+ydy by using the…

Q: Find all local maxima, local minima, and saddle points of each function. Enter each point as an…

A: Given function is fx,y=1−x2+7y23. We have to find the local maxima, local minima and saddle points…

Q: 3. Find all eigenvalues and eigenvectors of: A = 100 002 020

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Q: Given the cylindrical coordinates: A(5,30°, 6) and B(7, 60°, -3) E. Determine the vector that…

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Q: 1. Let S be the triangular region in R3 with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given that S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

Q: 32. Find the area bounded by the parabolas y^2 = 4 -x and y^2 = 4 - 4x.

A: Solution:

Q: Determine whether the series converg Σ n=17+57 n +47 O converges

A: Comparison Test for convergence:   For a given series ∑an, ∑bn where 0&lt;an≤bn if ∑bn converges…

Q: Let x-f(p.a) be the demand function for shoes and y=g(p.q) be the demand function for socks, where p…

A: The given functions are  x=900-0.006p2-0.004q2y=400-0.006p2-0.003q2 find the derivative of x with…

Q: The infinite series Σ n=0 2n n³ - 5 - is

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Q: Find Newton’s polynomial that interpolates f(x) = x1 at x = 1, x=2,x=4,andx=5.…

A: Since, function is not clear so we assume fx=1x. We have to find the Newton's polynomial that…

Q: Angle of Rotation (2d) Find the angle of rotation of the following rotation matrix: √2-1/2 √2) √2/2…

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Q: (a) Calculate the binomial coefficient reduced fraction. (b) If I multiply a power serios (3,5).…

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

Q: Suppose an automobile is moving with increasing velocity and that we measure the car's velocity…

A: We will find left Riemann sum and right Riemann sum  with 5 interval .

Q: 7. What is AQ such RC, AP and BQ are concurrent (see figu below). 8 a. C. 15 15 b. 7 15 d. 7 e. none…

A: According to the theorem of Ceva , P, Q and R are the points on the triangle, then RC , AP and BQ…

Q: Evaluate the given integral by making an appropriate change of variables. √√₁ 3 x - 8y dA, where R…

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Q: Find a closed-form formula for f(n)=...) k+1 II₁¹. (Write your answer in the form of: k

A: We will use definition of product notation to find closed form of given product form.

Q: how to calculate the sqare root of a number

A: We will explain how do we find the square root of any positive integer ,then we   explain how to…

Q: Use the equation (x-1)^2+(y+3)^2=12 find the radius and show steps

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Q: Provide inequalities for r and that precisely describe the region in the xy-plane bounded by the…

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Q: Suppose an undamped forced spring mass system is driven by the equation + 9x = f(t), dt where the…

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Q: 5. Use the definition of a Maclaurin Series to express f(x) = as a Power Series. Give the 8th degree…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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Q: Question 1 a. If = (6t+2e-¹-1)+(2-5 cost-3t) + (3 sint-t+2)k then find i. the velocity at time t =…

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Q: Find the limit of the sequence πρὖ + 4 πρ4 +5 c3 - 2e { where - e CER+ and n " cn+1 - ne 0 for any…

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Q: The following function is positive and negative on the given interval. f(x) = sin 2x; 元 4 म a.…

A: Solution :-

Q: Rewrite the following initial value problems for a non homogeneous 4th order differential equations…

A: Introduction: The order of a differential equation is revealed by the highest order of…

Q: If g(x) = Σ ((-1)" n: 2=0 the exact value of g ( (2 – 5x)2 5x)²n- 2n + 1 6 3 15 Otherwise, explain…

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Q: In Problems 29 and 30, solve the more general heat equation problem. *29. + 2u, + u = U₁, B.C.: u(0,…

A: Introduction: Laplace transformation is very significant tool in solving partial differential…

Q: 4).   Use the Ratio Test to determine whether  ∞ n = 1 an  converges, where  an  is given. State…

A: Given : To determine the Ratio Test.

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

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Q: 2² For the functions F₁ (ny) = 4 +2²+ng+g² and √₂₂ (m₂y) = n²³² +ng-n find the Hessian Matrixes H,…

A: Given functions are F1=x44+x2+x2y+y2 and F2=x3+xy-x Here ∂F1∂x=x3+2x+2xy=x(x2+2+2y)∂F1∂y=x2+2y For…

Q: For the matrices 2 -3 5 A = [² -2 ] and 8 = [² -2] B 4 1 1 in M2,2, determine whether the given…

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Q: Determine if the expression is meaningful. If it is, state whether the expression represents a…

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Q: Find the eccentricity e and distance d from the pole to the directrix. I dentify the cenic and…

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Q: Define a set X by • 4 EX If a E X, then -x-12 € X - x² € X Prove that every element of X is…

A: A Well defined collectipn of object is called set. Define a set X X = { 4, -16 } 4 belongs to X -4…

Q: Which of the following is true about the sequence In (3n -n²+1) - ln(n³ + 2n¹ +5n)? = an 3 The…

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Q: Express the following limit as a definite integral. n lim Σ ||P||0 k=1 1 1+2cK The definite integral…

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Q: 3. Let S be the subset of Mmn containing all matrices A such that (A)11 = 0. Determine whether or…

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Q: 1. y 125 mm 125 mm 200 mm 200 mm 150 mm 60 mm Determine the coordinates of the centroid of the…

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Q: The power series representation of e* is e(-2²)? 8W! n=0 n! What is the power series representation…

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