A man borrowed 24000 from two money lenders. For one loan he paid 15% annum and for the other 18% per annum. At the end of one year, he paid simple interest of 4050. How much did he borrow at each rate?

Q: Ql: Find the integration of : (, 1. S cos (3 sin x)cos (4 sin x). cosxdx 2. J Tanx sec*x dx 3. 6…

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

A: Given: x f(x) 1.7 0.397 1.8 0.339 1.9 0.282 2 0.224 To find: f(1.72) from the given…

Q: Solve the following equation by (Finite Difference Method), choose (h= 0.5) d?y + 2y = 3 ,y (0) = 0,…

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: Determine the COMPLEX fourier series from first princples. Please explain solution thoroughly e2t+2…

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Q: 2 34 5 6 7 8 9 X (b) 9 3 716 5 2 X 4 8 (c) (abc)(cad) (d) (213)(3421)(153)

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Q: Let n e N, s > 0, a > 1. Show that n! 1"e" dr sn+1 Inz dr 1 (a – 1)2

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Q: a) Given the following set of parametric equation x=t? +1, 4y = 8+4t i) Eliminate the parameter of t…

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Q: Find volume of body bounded by z? + y? + x? 9.

A: Here we can use spherical coordinates to find the required volume. Volume of a solid in spherical…

Q: The following data is provided for the velocity of an object as a function of time: 5 10 19 32 15 46…

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Q: solve to find y and x, take y(0)=0 and x(0)-1 ý + y- 0.5x = 0.5 * + 0.5x - y = 12 %3D

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Q: Let E be the solid inside the sphere a? + y? + z? = 8z and above the plane z = 4, and let S be the…

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Q: A card is drawn from a well-shuffled deck of cards. Find the probability of not drawing a King Your…

A: We want to find the probability of drawing a king.

Q: Q3) Evaluate triple integral S dz dy dx.

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Q: Solve D.E ーツ

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Q: d. Z,Z3 + Z4 e. (Z1 + Z3)/(Z2 - Z4)

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Q: -4-y Evaluate triple integral , S dz dy dx .

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Q: n(A U B) = 155, n(A N B) = 30, and n(A) = 105 %3D What is n(B) ?

A: We have given the values n(AUB)=155 , n(AnB)=30 and n(A)=105 . Then to find n(B) .

Q: 1- x dx y =

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r= -2cose in second…

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Q: solve D.E = ( x)z %3D

A: We will write the given differential equation as a linear fist order ODE and then will solve it…

Q: uppose that we use Euler's method to approximate the solution to the differential equation dy dx…

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Find the area of the rigion lies between the circles r=2 and r=4cos(theta) in the first octant.

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx 19x2 + 16 y

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Q: Q3) Evaluate triple integral f, S, ya(x² – y²)dz dx dy.

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y = 3 ,y (0) = 0,…

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Q: Q5) Find volume of body bounded by = Z O from below and z = 4 - y from above inside y = x2,y = 4 .

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Q: H-w.4 Find the Volumes for the fallowing solids whose theights are defined by ECX,y) and bases are…

A: Volume bounded by the region in xy-plane

Q: Q3) Evaluate triple integral S S dz dy dx.

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Q: Consider the following two ordered bases of R?: {{1, –1), (-2, 3)}, {(-1, –2), (1, 3)}. B a. Find…

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: The value of Ss (x + z) dy dz + (y + z) dx dz + (x + y) dx dy, Where 's' is the surface of sphere…

A: Here we can use divergence theorem to find the value of the given surface integral. Divergence…

Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

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Q: Q5/ Use Linear Regression to fit the following data: 2 4 5 6. Y 4 9 10 10 8

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Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q5/ Use Linear Regression to fit the following data: 2 10 1 4 5 6 Y 4 10 9 3

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Q: e2z Evaluate a dz, where C is a circle with (z+1)* centre at origin, |z| = 3.

A: Given integral is ∮Ce2z(z+1)4dz Where C is  |Z| = 3

Q: find the ser fak Aren from the folloding 24x+32y+82-72

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) * + 2y = 3 ,y (0) =…

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Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

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Q: b) Given that z, = V3 +i and z, = -2- 3i . Find the modulus and argument of and %3D Hence, express…

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Q: A bag contains x red paper clips, (x + 4) blue paper clips, and (3x – 11) white paper clips. A clip…

A: We have to find the value of x.

Q: 10 x? + sin(y) = 20 x + 5 y %3D

A: Follow the steps and python script.

Q: 1..Find the number of words of length 7 using letters from {A,B,C,D,E,F} in which no two consecutive…

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Q: r1.5 (3-y dx dy using polar coordinate Q1) Evaluate the integral o

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: ifferential eq = log x is og x + 2 log x log x + lo log x

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Q: Venn Diagram WEEK I After going through this module, you are expected to: 1. Solve problems…

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