Q.1 A mother wants to save $4000 bimonthly in a financial institution, which pays her interest at a rate of 9 % per year compounded bimonthly. After 7 years the mother gives loan to a company that accumulated amount, which she receives from the bank, at an interest rate of 9% compounded quarterly. What amount she will have finally when the company returns the amount to her after 3 years? How much total interest should she earn in 10 years' time?

Q: Evaluate the line integral f. (2x – 4xy)dx + 3xy – 2x³y)dy over the straight path L joining point P(...

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Q: Let f, g : R → R be continuous at 0. Using only the e – 8 property(Ross, Theorem 17.2), prove that t...

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Q: 3. Given the following system: x, - 2x, + 2x, + 3x, = -1 -3x, + 6x, + x, + 5x, =-11 2x, %3D 4x, 2x, ...

A: Given: Let us consider the given systems, x1-2x2+2x3+3x4=-1 -3x1+6x2+x3+5x4=-11 2x1-4x2-2x3-6x4=10 (...

Q: The intal tablea of a inear programming problem is given. Use the simplex mehod to solve the protiem...

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Q: Fred has a piggy bank. On his twelfth birthday, he started saving money. Every week, on the first da...

A: Given: Fred has a piggy bank. On his twelfth birthday, he started saving money. Every week, on the f...

Q: Find the quadratic polynomial whose graph passes through the points (1, 18), (2, 35), (3,60). NOTE: ...

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Q: Theorem 11. Let f be a continuous function on R such that f(x+y)-Df(x)+(y) vx, yER. Show that f(x)3c...

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Q: The dosage is 5 mg/ kg po SID for 30 days. Eliza weighs 100 lb. Doxycycline comes in 50 mg and  100 ...

A: Since you have asked a question with multiple subparts, we will solve the first subpart for you. To ...

Q: If S is a non-empty set of real numbers which is bounded above, then a real number s is the supremum...

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Q: 6. Find the quotient for 4 15 3.

A: To find  415  ÷23

Q: How many 5 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if no repetition is allowe...

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Q: In how many ways can the first 5 consonants be paired with the vowels of the English alphabet?

A: There are 5 vowels in English alphabets. So 1 consonant can be paired with 5 vowels in 5 ways. Simil...

Q: Circle a

A: Given, the expression that are equivalent to 5(x+6).       

Q: 4. How many numbers can you form by arranging the numbers 5,6, 7, 8, 9 ,3 ,1, 4, 2? a. 90,410 c. 362...

A: As per our guidelines I solved first three subparts.

Q: Given two skew-Hermitian matrices X and Y , prove XY −Y X is a skew-Hermitian.

A: Solution :- skew hermitian matrix:- When the conjugate transpose of a complex square matrix is equal...

Q: Determine the volume of the three-dimensional figure. 12 m 17 m 12 m The volume of the three-dimensi...

A: The volume of a triangular prism is calculated by the formula  V=12bhl Where b, h and l represent th...

Q: 2.4// Solve this assignment problem? 3 70 30 47 89 60 49 72 4 39 97 63 18 65 97 22 89 79 72 43 58 21...

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Q: 13. Let F (x, y) = (1(²y²)x, af(x²y? , a(y²) Y) and suppose that C is a smooth curve parametrized a(...

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Q: 7. Circle all the expre-

A: INTRODUCTION: To make it less hard or difficult; to make it simpler or easier To condense an algebra...

Q: What is the relative error in estimating the first derivative of f (z) = 25x - 6x2 + 7x- 88 at x-2, ...

A: Given equation is f(x) = 25x3 - 6x2 + 7x - 88∴ f′(x) = 75x2 - 12x + 7

Q: 8. Suppose that S = {v1, 02, 03} is a set of linearly independent vectors in R. Answer the following...

A: (a) General basis for ℝ4 is given by 1,0,0,0, 0,1,0,0,0,0,1,0,0,0,0,1. Let v1→=1,0,0,0, v2→=0,1,0,0,...

Q: Determine if the point (1,8) is in the solution set. Explain your answer.

A: Introduction: Inequalities are mathematical expressions in which neither side is equal. Unlike equat...

Q: Maximize f(x, y) = / 18 – x2 - y2, x + y – 2 = 0. %3D

A: We will use the Lagrange Multiplier to maximize f(x,y)=18-x2-y2.........(1)x+y-2=0    ........(2)

Q: The composite is composed of a cc hemisphere. a) Find the surface area of the com Give answer in ter...

A: Introduction: The formula for the surface area of a cone of radius r and slant height l is given by,...

Q: x-1 -dx X +x

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Q: 7. Let ū = (3, 1,5), ở = (-1,1, 1), w = (3,0, 3). (a) Determine whether u can be written as a linear...

A: Given that u=(3,1,5) , v =(-1,1,1) and w= (3,0,3)

Q: 5. Solve the system of equations using the substitution method, show all your work: y= -+3 y-z+1

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Q: Consider the vector field F(r, y, z) = (x, y, 6z). Evaluate the surface integral I = [[; F · dS wher...

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Q: Give an example of a vector space V over a field A a) injective but not surjective; b) surjective bu...

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Q: A turboprop plane flying with the wind flew 700 mi in 5 h. Flying against the wind, the plane requir...

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Q: How many 6 digit numbers are divisible by 5? Assume repetition is allowed. 12000 180000 60000 200000

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Q: 10. Is x - x - 2 a factor of x³ - 6x² + 3x + 10 ? Explain.

A: Given expression is x3 - 6x2 + 3x + 10

Q: After one iteration of Newton Raphson Method, what is the refined estimate of the root of 7 (sin z) ...

A: We can solve this using newton raphson method

Q: Now consider the following nonhomogeneous linear DE; y" + 16 y = 2 sin(2rwt) For what value(s) of w ...

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Q: Evaluate: (5!2!) / (4!3!)

A: We have to find the value of 5!2!4!3!

Q: Q3) The component of national economy is as follows: Y= 5000 C= 1800 T= 1400 C= 500+(1/2)(Y-T) |= 19...

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Q: Use Bisection method to find a real root of x2 -2 in the interval [1,2]. What should be xg Xn Xn Xn+...

A: As  f(x)=x2-2, in [1,2]Therefore,  f(xn-)=f(1.40625)                            =(1.40625)2-2       ...

Q: Find a particular solution to the differential equation y" + 6y' + 9y = -243. Yp =

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Q: 10. A draw for a prize box contains 11 names of Grade 11 students and 13 names of Grade 12 students....

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Q: Lucy deposits $3000 into an account that pays simple interest at a rate of 3% per year. How much int...

A: Simple interest formula for an amount of P at an interest rate of r% for t years is given by; A=P(1+...

Q: Problem 1: Suppose that {an}n=1 is a sequence and set sn = ak for all n > 1. Given that k=1 n +3' Sn...

A: Series and sequences

Q: Find a particular solution to y" + 36y = 24 sin(6t). %3D

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Q: 3. 0 en k%31

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Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21 consonant...

A: AS

Q: Translate the figure 2 units left and 4 units down. What are the coordinates of the image? 2 -4-3 -2...

A: Introduction: A figure can be shifted left or right. Also, it can be translated in upward and downwa...

Q: Evaluate: (4!+2!) ÷ 3!

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Q: 0), (1, 0, 0). (3, 2, adependent set

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Q: Y+ 2 - 3W -2 %3D 3x +y -z + sw - 0 2x + y - z t 4w : o * + y -2 + 3w :0

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Q: Refer to Matrix A and B, determine the following 6. co-factor of az21 and a33 of A? 7. determinant o...

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Q: Let V be the vector space over the field of real numbers consisting of all real-valued sequences (a1...

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