Activity 2: Practice your skills! 1. Citibank pays 9% ordinary simple interest on a 30-day time deposit. How much money will the depositor have at the end of the 30-day period if he or she deposits P1,500.00?

Q: Determine the degree of the splitting field of x4 3 over Q. Justify your - answer.

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Q: Show that the equation sinx - 3x +1 = 0 has exactly one real root. Tips: Use the Intermediate Value…

A: Introduction: Intermediate value property is a very important property that is shown by a continuous…

Q: Find the value of x in the following figure. Assume that lines m and l are parallel. 25° (5x-54)° m…

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Q: The objective of this question is to use Laplace Transforms to determine the solution below y" – 2y"…

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Q: EXAMPLE 1 Evaluate the triple integral SSSKYZ'dv, where B is the rectangular box given below. B =…

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Q: 5.) a.find the equation of the sphere that has a center at (2,1,4) and a point on the sphere at…

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Q: F(s) = (s+2) (s+1)²+5² ° Find F(0) by use of the initial value theorem of

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Q: af(x,yz) -

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Q: For the Venn diagram below, what would best describe the variance explained by x1 in a multiple…

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Q: 4. Evaluate lim (cos r)/x²

A: Limit of the indeterminate form

Q: Use a local linear approximation of the function f(x) = VI cos[(V2x)T] approximate v3.98…

A: Linear approximation.

Q: You sell 600 shares of AVG Technologies (AVG). You purchased the stock at $2.99 per share and sold…

A: Solution

Q: 12x5 + 45x4 – 80x – 5 and classify them. Round your Find the critical numbers of the function f(x)…

A: f(x) = 12x5 + 45x4 - 80x3 - 5 => f'(x) = 60x4 + 180x3 - 240x2                 = 60x2 (x2 + 3x -…

Q: True or false? a. Deductive reasoning begins with a true statement and ends with a true or false…

A: We know, in deductive reasoning , it is not possible that statement is true and conclusion is false…

Q: 7. Solve the recurrence relation an 4an-2 for n > 2, given that ao 3 and a1 = = -2.

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Q: Which of these statements about the poset ({ 3, 6, 8, 9, 10, 12, 16, 20}, I ) are true? (Select all…

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Q: 9.4. Show that 1 dx (x² + 1)3 %3D

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Q: Use polar coordinates to find the volume of the given solid. Under the cone zVx2 + v? and above the…

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Q: Find the Laplace transform of f(t) = t´ using direct integration. Show your solution. 1 s4 2 2 s4 1

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Q: 6. 8 %3D 9 -9 eAt %3D Use X = EATC to find the general solution of the given system. %3D

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Q: Example 18.2 Odd Number of Years Year X 1996 1997 1998 1999 2000 Y 270 285 295 315 330 We are…

A: Given: Year X 1996 1997 1998 1999 2000 Y 270 285 295 315 330 To find: Fit a trend to the…

Q: A guy named Stranger Thing can afford to pay $545 each MONTH for the next 6 years to pay towards a…

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Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

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Q: Use variation of parameters to solve the given nonhomogeneous system. x-(::)-() 0 8 8. X + 6. X' = e…

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Q: . z² + 3z = log(-3), Calculate the value/s of z

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Q: 19. inside = 5sin 0 and outside r=2+sin 0

A: Given equation r=5sinθ and r=2+sinθ. We have to find the area inside r=5sinθ and outside r=2+sinθ.…

Q: Cunsider the following two sets ef numbers. 7, 9, 11, 13. 15 and 8, 10. 11, 19, 27 (a) Calculate the…

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Q: . Let G1 be the solid enclosed by the xy-plane, yz-plane, and the planes x+ 2y + z = 4, and x – y +…

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Q: If all fruit bearing plants are flowering plants, and all flowering plants attracti nsects. Which of…

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: Solution

Q: Determine the validity of the following syllogism, and explain your answer. (You may draw a picture,…

A: Introduction: A syllogism, also known as an inference rule, is a formal logical scheme for drawing a…

Q: Let P denote a matrix whose columns are eigenvectors K,, K2, ..., K, corresponding to distinct…

A: Given that P is a matrix whose columns are eigenvectors K1,K2,.....,Kn corresponding to distinct…

Q: Use induction to prove 12 + 22 + · . . + n² n(n+1)(2n+1) 6.

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Q: Solve by LU factorization method. 2x1 + x2 + x3 = 1; 4x1 + x2 + x4 =-2; -2x1 + 2x2 + x3 + x4 = 7.

A: As per the question we are given a system of linear equations in four unknown variables. And we have…

Q: Consider the following nonhomogeneous system. 1 4 3 X + X' = 6, Find the eigenvalues of the…

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Q: Find the work done by F over the curve in the direction of increasing t. F = -8x i + 9x 3y 4 j +…

A: The word done by the vector field F along the curve C is given as, w=∫C F· dr  The differential form…

Q: o integrals are equivalent and (b) calculate 2. | sin(t) dt = sin(x + 1) dx %3!

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Q: Let S1 be the hemisphere with Cartesian equation z = 6 – V36 – x² – y² and S2 be the upper nappe of…

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Q: For the following matrix, do a valid row operation to get a 00 in row 2, column 1:     11 −2-2 00…

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Q: Evaluate o(7000).

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Q: 20s Find the LapLace 2) f(1)=1 sin(@t) Ans. F(s) = (s² +o°}

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Two infinite black plates at 800 °C and 300 °C exchange heat by radiation. The heat transfer rate…

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Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

Q: 3. Determine the general solution of the differential equation y + 2y" + 2y" + 2y' + y = e=t + t.

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Q: laws of logic proposiltion equivalen (see your eat sheet),. prove lna - (p → q) → ¬9 is a tautology

A: A tautology is column which contains all true statements

Q: List the elements of the set. The set of all outcomes of rolling two indistinguishable dice such…

A: Use the given information.

Q: Compute y ds over the part of the parabola y =2Px, for P > 0 starting at (0,0) at (2P,2P).

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Q: In an animal sanctuary, it takes 44 kg of meat per year to feed 4 dogs. How many kg of annual meat…

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Q: The point P (5, -1) is rotated 90° clockwise around the origin. What are the coordinates of the…

A: We want to rotate the point P(5, -1) about origin 90 degree clockwise direction.

Q: нatrix A 3D |2 5 2 -4 -1, suppose azn is the pivot. This means that Row ? v is being zeroed out by…

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