In how many ways can an employer select two senior staff from seven candidates, and three junior staff from ten candidates? (Assume that there are no specific rankings made within the subgroups of senior staff and junior staff.) 15120 5040 30240 2520

Q: 3. Using the following table find f(x) as polynomial in x x -1036 7 f(x) | 3 -6 | 39 822 1611

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Q: e integrand of the definite integral is a difference of two functions. Sketch the graph of each…

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Q: Si Vzdz = 14/3 14/3+can unknown constant 16/3 not calculable

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Q: Use the third Taylor polynomial P3(x) for f(x) = x ln? x about xo = 1 and evaluate f(2). 17 O 1 13…

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Q: 32 – 23 1. (a) What is the value of 23 - 32 (b) What is the value of VST+ V9 - V64 ? (c) Determine…

A: Solve the algebraic equations

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Q: The set of all even integers 2Z is a subgroup of (Z, +) Then the right coset -5 + 2Z contains the…

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Q: Find the area of the surface. The part of the paraboloid z = 1 – x2 - y? that lies above the plane z…

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Q: 1-z Let C: |z-i|=9. Then ſ. -dz z(z+1) а) 0 b) 2ni с) — 2пі d) 4ni e) — 4лі f) 2п b. С. d. a.

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Q: 1 -1 3 -2 1 1 -1 0 a | A = 2 reduced row-echelon form -2 2 -1 R=0 0 1 1 b %3D %3D -1 1 5 -4 0 0 0 C…

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Q: Consider the line y=-9x+6. Find the equation of the line that is perpendicular to this line and…

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Q: Find the number of zeros of f(z) = z' + iz² – z + 2i in the upper half-plane.

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Q: Which of the following functions on R is sublinear? a). s1(x) = # x if x ≥ 0 0 if x 0

A: Definition: Let X be a vector space. A function p: X→ℝ is said to be a sublinear function, if it…

Q: Reverse the order of integration and evaluate the integral: (a) / IT 2y° sin zy dy dz 2 dy dx (c) 0.…

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Q: 3 -1 Let B 7 -5 1 6. -6 2 Find all eigenvalues and a maximal set S of linearly independent…

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Q: 4 Si Vadz = 14/3 14/3+can unknown constant 16/3 not calculable 5 If f" (z) (known) is the second…

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Q: 5. (a) A list a1, a2, a3, a4 of rational numbers is defined so that if one term is equal 41 then 29…

A: Given, an=1+11+ra3=4129a4=9970    To find: Value of a1

Q: Choose the best answer. Consider the following statements regarding the equilibrium points of the…

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Q: Calculate the area of the region bounded by the curves x = = y² and x-y=2. a. 11/5 sq units O b. 9/2…

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Q: Express each one of the following in the standard form a + ib. 1 A: (1 + i)? (iii) 3 - i 3+4i 1+i…

A: standard form , a+ i b first part = a (real part second part = i b (imaginary part

Q: he question is attac

A: Given, a psychologist uses two types of boxes mice and rats. The amount of time (in minutes) that…

Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: NOW mezt Step 2 Gim En = lim n-s00 NoW PC En). %3D 1. 3/-

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Q: Compute the volume of the solid above the cone o = , and between the spheres p = 1 and p = 3. Hint:…

A: We have to use spherical co ordinate system

Q: 1. prove every 2nd countable space is Lindelof space. 2. Every Lindelof topological space induced by…

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Q: How many elements are in the Cartesian product U x V? * Let U = {u is odd | 9 < u < 14} and V = {v €…

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Q: 9. For the connected graph below 10 し。 12 select tree T-{2, 3, 4, 6, 7, 10 } and find matrices (a)…

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Q: D2) Let A= Fid ABud BA al B.

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Q: Find the Re(z) and Im(z) z=logₑ(7+i)^4

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Q: Bolue : Frih"x t1= Sech",

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Q: QUESTION 3 Find the oder of the indicated element in indicated quotient group. a) 2 + (8)in Z12/ (8)…

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Q: By using the sccant Methad findthe:voots ofeauation

A: We have f(x) = x-22-ln(x) x0 = 1 and x1 = 2 f(1) = 1-22-ln(1) = 1 f(2) = 2-22-ln(2) = -0.69315

Q: Calculate the value of U3 that corresponds to μ1 = 54, μ0 = 46 and σ = 8.9999. please use excel for…

A: Excel sheet clculations require calclulation as value final and they take 54-46=8 and then σ=9.

Q: 1. (a) Find the Taylor series of In(æ) about a for a > 0. Your answer should be in sigma notation.…

A: We have to find the Taylor series of ln(x).

Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

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Q: DIFFERENCE =Ph 44,165 If Juan invests that Ph 44,165 at 10% retum until he retires at 65, he will…

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Q: Q2 correct answer

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Q: Find the Inverse Laplace Transform. Y (s) (10s + 8) తాతి s3

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Q: Example 1.2.1 Here are two simple examples of set e you to verify. (i) U[0, n/(n + 1)) = [0, 1). %3D…

A: We have to verify given result.

Q: Consider the system of linear differential equations: y' = 1 2 a. Which of the following is the…

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Q: Consider the inner product space (P2, (,)) with the inner product (p(x), q(x)) = p(0)q(0) + p(1)q(1)…

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Q: Find the Laplace transform of the following function: 1

A: Introduction: The formula of the Laplace of the function f(t) from zero to infinite is given by,…

Q: 3. Let F = (x - y, xy) and C be arc of the circle x? + y? = 4 traversed counter-clockwise from (2,0)…

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Q: Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.…

A: We have to find the surface area of given triangular prism.

Q: KS. (a) Give a tangent line. (b) Give a secant line. C (c) Give a chord. K H

A: (a)  Tangent to a circle is the line that touches the circle at only one point. From figure we can…

Q: How many values are in the range 17 to 118? 67.5   135   102   100

A: Range = maximum - minimum    Number of values = 118 - 17 = 101

Q: (a) State the definition of the cardinality of a finite set. (b) If A is a finite set with |A|= n,…

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Q: Find the minimal distance from the point -18 10 P = to the plane V of R' spanned by 3 4 -4 4 -4 and…

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Q: Prove the following statement using the axioms and lemmas For all nonzero real numbers w, x and y,…

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Q: Find the midpoint M of the line segment joining the points C = (-3,-5) and D = (7, 5). %3D M = OD

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