Evaluate: 2 (1) (2-3)* dx 1 1 dx x + 5 (2)

Q: Consider the system of equations dæ = x(3 – x – 4y) dt dy = y(1 – 3æ), dt taking (x, y) > 0. dy = 0.…

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Q: Use Newton methad to find fis), f'ca) 9. to 3. 10

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Q: 3. [MO31] Find the Fourier series of, - 2<x< -1 - 1< x<1 1< x< 2 f (x) = -2 to

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Q: 2 -1 0 3 0 3 2 -1 If D = and E = find 1 5 6 2 0 7 1 3, G = 1 7 4 0 6 [5 4 3 -7 2 6. , find 2 0 If F…

A: The given matrices having different orders.

Q: Find at least three examples of Golden Rectangles in your surroundings.  Provide sketches and…

A: Given below clear explanation

Q: 1- x dx 21 y =

A: We solve the given integral using Trigonometry substitutions method.

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

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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: Q2) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy - 2x1-y2dx = 0

Q: 3+ V9 – 4(3 – i) 21 = 3+ V4i – 3 2

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Q: A card is drawn at random from a box of 20 cards numbered from 1 to 20. Find the probability of…

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Q: 5coshx+3sinhx=4,then what is the value of x

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Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find :ANB = O {1, 2, 3, 4, 5, 6,…

A: Given A = { 1, 2, 3, 4, 5, 6} B = { 2, 4, 5, 6} C = { 1, 6, 7}

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

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Q: Activity 1. Write Fif the given is a function and NF if NOT a function, Explain briefly. k) (h m) 1.…

A: Concept: A set is a function if and only if one input have output. Here input cannot be same for…

Q: Donio, Nidilyn (Faculty) 3:29 PM 4. 89 is decreased by 12% Donio, Nidilyn (Faculty) 3:30 PM 5. How…

A: 4. Decrease 89 by 12%. This means we have to find 88% of 89, Hence, 88100×89=78.32

Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

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Q: When invested an annual interest rate of 10 © , an amount earned php. 14 , 000 of simple interest in…

A: Given: Interest is 10% Amount earned as simple interest is Php 14000 Time is 3.5 years. Concept:…

Q: For n successive Bernoulli trials with probability p of success on each trial, the mean number of…

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Q: Suppose a1, a2, a3, a4, and ag are vectors in R³, A = (a1 | a2 | a3 | a4 | a5), and [1 0 -5 5…

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Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

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Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the…

A: Here we make an equation and then solve that equation.

Q: Solve the following equations transformable to quadratic equations. A. 1. 1 -+-= x 11 2. 2 x+1 4 2…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q4) Find plane area inside the polar function r 2 and outside polar function r = 2 sin +0) in second…

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

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Q: Give the VALUE only. No need to include the unit. * A chemical manufacturer sells sulfuric acid in…

A: We have Cx=100000+50x+0.0025x2 Now, the price is $100 per unit and production is of x units, then…

Q: O Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (+ 0) in…

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Q: Find the solution of the equation 3U,- 5U, =0 satisfying the condition U(0, y) = sin y

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Q: 2. Determine whether the linear system Ax = b is well- or ill-conditioned . You can use either the…

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Q: Q1) Evaluate the integral N 4-y2 dx dy using polar coordinate

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Q: x – 3|dx i

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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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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin +0) in…

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Q: A chance of 75 out of 100 0.5 0.01 0.1 0.75 0.25 O 1

A: To find: A chance of 75 out of 100

Q: Q: Solve by iteration methods the following 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4…

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Q: 2) 3) 12 4) 5) 미. 미이미。 미 미 미 미우 미위미위 미 미 미유 키4 2_3

A: 2. 2540-2440=140

Q: . Rolle's Theorem: Assume f has a derivative (finite or infinite) at each point of an open interval…

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Q: Evaluate fc 713 where C : |z| = 2. Ans. fc z+1)3 Ti ( – 4). 1 z² (z+1)³

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Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

A: Probability = Number of Possible outcomes/Total outcomes

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

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Q: Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: To find a 4×4 matrix A with non zero entries such that there are 3 eigenvectors for a single…

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

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Q: Q5) Find volume of body bounded by z 0 from below and z 4- y from above %3D inside y = x2 ,y = 4.

A: Volume bounded by the xy-plane

Q: 3. Let An, A, Bn, B be subsets of 2. Show You are sharing your enti lim sup A, U Bn = lim sup A, U…

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Q: L. RELATIONS Let C= D= {-3, -2, -1, 1, 2, 3} ar For all (x, y) E Cx D, (x, 1. a. Is 2 S 2? b. Is -1…

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Q: Solve the following IVPS using LT method. 3) y" + 16y = 1, y(0) = 1, y(0) = 2;

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Q: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: 1. Solve the linear equations given in either augmented or explicit form. а.) 4у + 3z 3D 8 2x – z =…

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Q: Determine the slope of the tangent to the curve y -3xy +2.x = 4 at the point (3,2).

A: Let us consider the curve y=f(x) To determine the solve of the tangent to the given curve at point…

Q: D is the region enclosed by Sx² + y? <9 and y <0, then vhich of the following is the setting of he…

A: We want to find the true option.