Geometric Series: If a1 = 8 and a4 = 512. Find r, an and Sn for n = 5. %3D O r = 3, an = 2248 and Sn = 2328 Or= 4, an = 2048 and Sn = 2728 %3D Or = 6, an = 2748 and Sn = 2928 %3D O r= 5, an = 2548 and Sn = 2528 %3D

Q: Consider the differential equation y' - y²x5-16.x". (a) Determine for which n the equation is…

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Q: You own an investment which has an arithmetic mean return of 30% and a standard deviation of 15%.…

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Q: Let C = 1 1 0 (19) 01 0 0 1 Find ect and the solution to X'=CX + () t X (0) = 0

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Q: Let y = - 11 - 1 1 9 1 0 - 1 2 , and V₂ = -6 1 . Find the distance from y to the subspace W of R4…

A: y =

Q: 84 %. $25.50? of udiat auauf is b. 2000"% of cokat amaut 4300?

A: Percentage : It is hundredth part of a quantity a% of b is represented as a100x b Here a is…

Q: The population of a country was 5.372 million in 1990. The approximate growth rate of the country's…

A: Here, ft=0.09486952e0.01766t and F0=5.372 million. To Find: (a) Function of Ft. (b) To estimate the…

Q: *dz 266420 43569 263420 O 261415

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Q: 5. EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x. %3D O 2.9 5.8 OOO

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Q: Simplify. (10 – 4)! (10 – 4)! =

A: Given : (10-4)!

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Evaluate the integral by means of the Cauchy residue theorem. § |2|=3 e² z(z-2)³ -dz

A: If C is a simple closed, positively oriented contour in the complex plane and  is analytic except…

Q: E Consider the function f(x) = [1,1]. Construct the interpolation polynomial which interpolates the…

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Q: x-1 y+2 7. Solve: 6 7 2. 2. 4. 3.

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Q: Independent random samples of sizes n, = 16 and n2 o = 4.8 and o, = 3.5 have the means , = 18.2 and…

A: Given : n1=16 , n2=25 , X1-bar=18.2 , X2-bar=23.4 ,  σ1=4.8 , σ2=3.5  , α=0.01 Our aim is to find…

Q: 3 xp- 3.

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Q: Find the all degree solutions of the 1 equation sin' x =- 2

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Q: Find the general solution to the following system of equations. 0 0 3 1 2 104 15 W X y Z = [3]

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Q: The solution to the problem is (x, y, z) = min f(x, y, z) => 00 z) = x² + y² +z_s.t. - 1 -0.5 0.5…

A: If g(x, y, z), h(x, y, z) are two constraints, then sing Lagrange's multiplier it can be written…

Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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Q: 5. Use the matrices to solve the x-2y+3z = 4 system: 3x- 4y+z = 4 2x +3y-4z = -2

A: We have to solve the equation by matrix method.

Q: Kara, Incorporated, imposes a payback cutoff of three years for its international investment…

A: Given: Year Cash flowA Cash flowB 0 -$61,000 -$71,000 1 $23,500 $15,500 2 $29,000 $18,500…

Q: 2y" - 5y' + 3y = 14te²¹

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Q: V8.5 = V. V=

A: We have to fill in the blanks: 8·53=__3·__3=____ We know that a×a×a3=a Therefore simplifying the…

Q: The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) =…

A: Answer is 0 for justification step 2

Q: Consider the curb shown in (Figure 1). Suppose that 1=9 m, a= 200 mm, b= 80 mm

A: 1 m=100cm  And 1m=1000mm

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Q: Suppose that the function g is defined, for all real numbers, as follows. -2 if x1 g(x)= 0 Graph the…

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Q: The number of correct receptions is noted after three bits are transmitted across a noisy channel.…

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