A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a heart

Q: Consider the solid bounded by the planes: z =x+y, z=12, x=0, y=0. Determine the volume of the solid.…

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Q: 1.: Reword the statement below as a theorem about graphs and then prove it. Assume that if A is a…

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Q: The system 4х + 20 y 19 z 1 %3D 5х + 26 y 27 z 4 %3D 4 x + 20 y 20 z 4 = has the solution x = , y =…

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Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

A: One letter of the name  EXTRA is selected at random

Q: Find constant 3x 1 vectors u and uz such that the solution of the initial value problem 2 -4 -3 x' =…

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Q: (x² + y³ )dx – -dy= 0 The equation xy O Linear O Bernoulli Homogeneous O Separable 1st order ODE O…

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Q: n (n2 + 1)2 n=1

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Q: 1 2 If D = 2 -1 0 3 , find and E 0 1 3 2 -1 13. DE 14. D4

A: Given matrices are D = 1201  and  E = 2-103032-1

Q: 2. Let f : [a, b] R be a bounded function. Prove that if f is continuous at ro € [a, b), then L(|f])…

A: Here we use the property of continuty.

Q: Write each complex number in complex polar notation: (4.053 + 2.042 ) - ( 4.482 + 4.681 i %3D

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

Q: 12 10 14 11 13 Consider the graph given above. Use the sorted edges algorithm to find a Hamiltonian…

A: Sorted-Edges Algorithm:   1. Sort the edges from lowest cost to highest cost 2. Add edges to your…

Q: 15 2 Suppose that G- is the Leslie Matrix of a population with two age groups. a (a) For which value…

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Q: Determine the length of the curve of the following functions (x²*+ 1)} a, y=- from x = 1 to x = 4 b.…

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Q: Q1) Evaluate the integral S S dy dx using polar coordinate

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Q: Find the sum of the following convergent series: [tan(2n – 1) – tan-(2n + 3)]. n=0

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Q: et Determine if the improper integral dx converges or diverges. (1 - e)2 If it converges, find its…

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Q: SntXn stx

A: We have to test the convergency.

Q: Q3) Evaluate triple integral ,a * dz dx dy.

A: Evaluation of the triple integral

Q: For the equation given below, one could use Newton's method as a way to approximate the solution.…

A: Solution

Q: Areat trigonometrie polynomints or trig-polyfor Short isafunetion tof the Serm clear that every…

A: Using Euler formula for trigonometric function to complex exponential and vice versa.

Q: Approximate the sum of the series by using the first six terms. n+1 6) n² n=1

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Q: Find a prime number p for which the equation x² = -1 mod p has no solution.

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Q: Solve the given initial value problem. y" +y' = 0; y(0) = - 12, y'(0) = 7 What is the auxiliary…

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Q: A study determined that 11% of persons age 65 to 74 have a certain symptom. A group of 19 persons…

A: Given, a study determined that 10% of persons aged 65 to 74 have a certain symptom. A group of 19…

Q: ,2 COS“ N cos“ n In n n2 n3 n=1

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Q: The value of the line integral S(2xy dx + 2x?ydy + dz) C along a path joining the origin and the…

A: We have to find the value of given line integral.

Q: SoSEV1+ y³ dydx =?

A: Order of change of integrals

Q: Find a power series representation for the function f(x) = iny and determine the radius of conver-…

A: Power series exaption of the rational function

Q: Let E be solid bounded below by the xy-plane, bounded above by the cylinder z = 1- y?. On the sides,…

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Q: How %3D ne

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Q: #1. Let R be the relation defined on the set of all integers Z as follows: for all integers m and n,…

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Q: 2. Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the matrix.

A: We have to find the characteristics equation eigen values and eigenspaces of given matrix.

Q: Let n e N, s > 0, a > 1. Show that n! 1"e" dr sn+1 Inz dr 1 (a – 1)2

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Q: The region D in the x, y plane defined by the inequalities 0 < x < 4, 4 < y < V32 – xe can be…

A: We will use relation between cartesian and polar co ordinate  x = r cosθ ,   y = r sinθ We will draw…

Q: A sure event 0.5 0.01 0.1 0.75 0.25 1

A: We know that P(x) = favorable outcome / totel outcomes

Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of , does the curve has…

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Q: Question Completion Status: Moving to the next question prevents changes to this answer. Question 9…

A: Volume bounded by the xy-plane

Q: (b) Let F1 be the ordered basis of R² given by F1 and let F2 be the ordered basis given by F2 = Find…

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Q: Example 12. In a, b, c are in A.P., prove that the following are also in A.P. () ь + с, с + а, а +…

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Q: Determine the convergence or divergence of the series. 2) Σ (-1)" In n=1

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Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: Solve: (dy/dx) = [(5y - 2x) /(4x – y )] %3D

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Q: Using triple integral to find the volume of a solid whose base is the region in xy-plane (z = 0) and…

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Q: 4) Solve D.E

A: Solve the homogeneous differential equation

Q: A chance of 75 out of 100 0.5 0.01 0.1 0.75 0.25 O 1

A: To find: A chance of 75 out of 100

Q: xy j =x+j (ans. j=a² Inc)

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

A: we have to find the volume of a body bounded by z = 0 and z= 4-x from above inside x = y2, x = 4.

Q: Q4/solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Given f(x) = x4 - 5x3 + 65⇒ f'(x) = 4x3 - 15x2 x0 = 2

Q: A chance of 1 out of 100

A: 1 comes only once between 1 to 100.

Q: Consider the following two ordered bases of R³: {{2, –1, –1), (–2, 2, 1), (5, –3, –2)}, {(0, 1, 1),…

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