Use the given graph to estimate the value of each derivative. ya y = f(x) 0 1 (a) f'(0) 1 (b) f'(1) 0 (c) f'(2) 1.3 (d) f'(3) (e) f'(4) (f) f'(5) (g) f'(6) (h) f'(7) Sketch the graph of f'. X X AR x

Q: Q5: A- Find the mass of the region cut from the sphere++d by the cone z= density &?? +y² if the

A: Mass is given by M=∬∫V δ dv

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Q: has eigenvalue = 1 with an eigenspace of dimension 2. Find a basis for the 1-eigenspace: (The…

A: We need to find a basis of 1-eigenspace (the eigen space associated with the eigenvalue λ=1)

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A: We say that a connected graph is orientable if and only if every edge belongs to a cycle. We see…

Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

A: We can solve this using definition of planar graph.

Q: While walking in the country you count 38 heads and 112 feet in a field of cows and ducks  how many…

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Q: owing assertion: n

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Q: Find the Laplace transform of 1. f(t) = [1u₂n(t)](2 sint - sin 2t) 2

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Q: ermine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: a) In the graph given in question each vertex has a degree of 4, hence from the Eulerian Graph…

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Q: 2. If the population is infinite or the population is finite in which sampling is with replacement,…

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Q: Find the volume of a right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1,…

A: Given A right pyramid that has a square base in the xy plane      -1<=x <=1 -1<=y <=1…

Q: Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately…

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Q: /Solve the following Assignment problem using the Hungarian method.. 12 3 4 5 J1 83 7 6 2 J2 51 514…

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Q: y" - 5y'=x-2, when x = 0, y = 0, y = 2

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Q: Fitting plungers into holes A random variable X has a N(p., o) distribution. Independently, a random…

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Q: Please answer II only. THANKS!

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Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 121 O 1 2

A: Solution :-

Q: We are making 5-letter words from the set of letters a, b, c, d, e, f..., in such a way that we have…

A: Here we will use permutation /arrangement and combination / selection  Number of way r object can be…

Q: 1) Solve by using Laplace transform the partial differential equation 2² 8² dt2 =9. y(0,t) = 0,…

A: Solution

Q: Using a binomial approach, find the sum S given by n+1 S="C₁ + "+¹C₁ + "+2² C₂+...+ "*C,

A: Here we can use the following formula to find the sum nCr+nCr+1=n+1Cr+1and nC0=1

Q: Hi the equation for the cone is z^2= x^2 + y^2, and not z=x^2 + y^2, could you please do this…

A: Here we will use Cylindrical co ordinate system  x= r cosθ , y = r sinθ , z=zx2+y2=r cosθ2 + r…

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn →T in L(X, Y) and…

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Q: Directly from the definition compute the Laplace transform 2t if 0≤t≤ 1, { 0 if t > 1. Problem 11…

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Q: Question 3: The function f(x)= max x, searches for the maximum value between a number. Prove…

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Q: Problem 10 (a) State the definition of the Laplace transform of a function f(t), t≥ 0. (b) Explain…

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

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Q: 2. g(t)= t², -8 + 3t, ((t-6)² + 2 cos (²-²). 0 2

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Q: Test the convergence of the following: 1- a. -(3n+1)*

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Q: etermine the constant a so that the vector V = (x+3y)i + (y-2z)j + (x+az)k is solenoidal.

A: Solenoidal vector field

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Q: Q: Define the concept of the ring. Is (Z, +,.) a ring? What's about (Z, +,.)?

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Q: ABCD is a square and E is the intersection point of the diagonals. If N is any point on AE, show…

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Q: 2. Find the first five nonzero terms of the power series solution of the initial value problem: y +…

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Q: Find the basic solution for the following (T. d the optimal solution. 4 1 2 6 9 100 4 3 5 7 120 2 6…

A: Check if the problem is balanced by finding the sum of rows and columns 100+120+120=340…

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Q: 1. If f(x) = 5x4 - 6x² + 4x2 find f'(x) and f'(2).

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Q: (a) Let X₁, X2,..., Xn be random variables from a normal distribution with unknown mean μ and…

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Q: 2. What is the slope of the line tangent to the curve 8x3-y²=4 at the point (1,-2)? CAL normal line…

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Q: Consider the curve defined by the equation y = 5x + 1x. Set up an integral that represents the…

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Q: Solve by using Laplace transform the partial differential equation 0² = 9. y(0,t) = 0, y(2,t) = 0,…

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Q: III. What is the image of the line with equation Y = 5X +7 under op, where P = (-3,2).

A: III) Note-AS per our policy we solve 1 question at a time. for other questions to solve them please…

Q: Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

A: Given,   W1 W2 W3 W4 W5 supply F1 (4) (1) (2) (6) (9) 100 F2 (6) (4) (3) (5) (7) 120 F3 (5)…

Q: Let K be extension of the field of rational numbers Q show that any automorphism of K must leave…

A: Given a (usually finite normal) extension K ⊇ F, we have considered group G(K/F). On the otherhand,…