How long does it take for a loan of $5000 to accumulate $1000 if interest is compounded semi-annually at 10%? O1 year, 10 months, 13 days O1 year, 10 months, 29 days 3 years, 9 months, 28 days O 3 years, 8 months, 26 days

Q: Find the general solution of the equation: у" - у' - бу %3D еxp(-x) - 7 сos х

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Q: 1. Find the Laplace transform of the following. A. 1. f(t)=e2t cos 5t - 3t 2. f(t) = 7t2 - te 4 %3!

A: Given: 1. f(t)=e2tcos 5t-3t^32. f(t)=7t-te-4t To find the Laplace transform

Q: Exercise 12. 2 Flow Diagram 1. Use the rule to find out the following and show all your c 1. 2- n =…

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Q: Given: Min Z=600,000x+500,000y 300x+100y>900 200x+100y>800 150x+150y>750 Solve for z

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Q: 1) How many sitting orders are possible? 2) How many sitting orders are possible under the condition…

A: Here we use combination rules.

Q: Question 17 Find the solution. y" - 2y'- 2y = 0 (1+v3)r 31 y = 0 y =

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Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

A: We can solve this using given details and used formula

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: Let R be the region inside the curve C:r=1+cos0 and to the right of the line € : r = - sec 0. 2.1.…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: Find the critical points of the function f(x, y) = x² + y² + 6x – 2y + 2. List your answers as…

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Q: A. Express the following complex numbers in standard form. 1. z = 0 + 2.1=-2+4 2

A: Introduction: There are many different representations of a complex number. But, the standard…

Q: Write down the augmented matrix corresponding to the following system of equations in five…

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Q: Use the Laplace transform to solve x'-2y'=1;r'+y-x=0;x(0)=y(0)=0

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Q: If possible, find a single matrix equal to the fo -2 9 (a) 5

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Q: ind the coordinate vector [x]g of x relative to the basis 1 B = X = -2

A: Coordinate vector of the given vector

Q: 4. Mike wants to invest money every month for 30 years. He would like to have $500000 at the end of…

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Q: 1. Find Solution using Newton's Forward Difference formula f(x) 0.10 0.1003 0.15 0.1511 0.20 0.2027…

A: The value of table for x and y x 0.1 0.15 0.2 0.25 0.3 y 0.1003 0.1511 0.2027 0.2553 0.3073

Q: Find the rank and nullity (nullity is the dimension of the null space) of the following matrix: -1 1…

A: Given matrix is A=0-1010-1-31-92-6-2-23-6-1-41309-363-3-1-94-6-4

Q: We study the residue of functions of the form g(z) = 8 in a domain D. The singularities of g(2)…

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Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: For the solution of the problem follow the next step.

Q: . Solve the variational problem +2y (x +y)] dx = 0, given y (1) = y (2) = 0. %3D

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Q: \Question No.2 Find f(1), S(2), S(3), and f(4) if f (n) is defined recur- sively by f(0) = 1 and for…

A: Multiple :    (a) We have , given a recursive formula ,  fn+1 = f(n) + 2 Also , f(0) = 1 For , n = 0…

Q: Greg surveyed 50 of his classmates about their favorite pet. Each classmate chose one pet. The…

A: here total number of people is 50. Also given that % of choosing Dog is 48% ,Fish is 14%, Hamster is…

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: 1. Determine whether the argument is an example of inductive reasoning or deductive reasoning. Two…

A: This is a question of Logical reasoning.

Q: Let H be a subgroup of a group G and a, bEG. ThenbE aH if and only if * O None of these O ab EH O…

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Q: 7. Evaluate fff, 4xydV, where E is the solid bounded by z = 2x2 + 2y2 – 7 and z = 1. You must use…

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Q: Example 6-44. Show that eitr = 1 + (eit – 1) x(1) + (e# – 1)2 ) + + (eit – 1y. where x =x (x – 1) (r…

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Q: Solve the variational problem S v +2y (x +y)] dx = 0, given y (1) = y (2) = 0. [x2

A: The complete solution is in given below

Q: S sin 7x dx is equivalent to which expression? A S(1– cos²7x)(cos 7x) dx B. S(1 - cos'7x)(sin 7x) dx…

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

Q: Give at least 3 examples of each type of matrices. 1. Nilpotent Matrix

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Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: Given equations are x + y + z = 4 → (1)x + 3y + 3z = 10 → (2)2x + y - z = 3 →(3)

Q: Find the volume of the solid generated when the area bounded by the curve y = vx, the y-axis, and…

A: Volume is the measure of the amount of space occupied by a closed surface. It is measured in terms…

Q: Solve 6x^5 - 41x4 + 97x3 - 97x² + 41x -6 =0 Solve by reciprocal equation.

A: if an equation remain unaltered on unchanging x to 1/x it is called a reciprocal equation a…

Q: 6. Charles would like to buy a new car that costs $ 32000. The dealership offers to finance the car…

A: Solution:   If he chooses option 1, let's find out the total amount paid. Principal = Monthly…

Q: Using the DIFFERENTIAL EQUATION METHODS, solve for the particular solution of the differential…

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Q: Given y(4) – 6y" – 36y" + 216y' = t² – 7 + t sin t, - - determine a suitable form for Y(t) if the…

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Q: As an easy exercise, check that you believe that lim [0, 1- 1/n] = [0, 1) %3D lim [0, 1- 1/n) = [0,…

A: limit is that value of function at which function approaches to output at any given input. The…

Q: Question 14 Find the solution. (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+…

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Q: Find the volume of a cone with a base diameter of 8 ft and a height of 8 ft. Write the exact volume…

A: We use volume formula for cone.

Q: Solve 6x^5 - 41x4 + 97x³ - 97x2 + 41x -6 =0 Solve by reciprocal equation.

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: The solution of the problem is given in the next steps.

Q: undetermind effients y-2y'+sy= e"cosaz CO522

A: The given equation can be written as (D2-2D+5)y=excos2x.               ⋯⋯1 Ley y=e^{mx} (m being a…

Q: 1. Consider the function f(r) = cos(z) for c= 7n and h %3D 100 (a) What is the approximate…

A: The given problem is approximate derivative of the given function f(x) at c using forward difference…

Q: Use Thomas Jefferson's method to solve the following problem. Suppose a legislature in a state has…

A: Total population is 550000+382000+120000+365000+226000=1643000 total number of seats = 56 standard…

Q: Consider a resource allocation (product mix) problem with the follow- ing optimal tableau: X1 X2 X3…

A: We have to find the optimal dual solution from the given table.

Q: If my recipe calls for 65 lbs of cubed sweet potato, and it has a yield of 75%, how many whole…

A: Given, recipe calls for 65 lbs of cubed sweet potato, with a yield of 75% .

Q: Find the volume of a cone with a base diameter of 7 yd and a height of 6 yd. Write the exact volume…

A: Note: We have the volume of a cone  V=πr2h/3 cubic unit. r is the radius of the base and h is the…

Q: (b) Consider the linear operator on R3 defined by performing the following operations in order: • an…

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Q: 3. Let f(z) = 1-z and y(t) = t+it for t E-1,1). (a) Sketch the image of the curve y. (b) Evaluate…

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