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Q: Consider a forced, undamped spring-mass system whose displacement is modelled by the ODE 4 x(t)" + 2...

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Q: [1 2 3] If Ax = b where A = 1 1 2, find x if Lo 1 2.

A: Using matrix notation a system of equations can be expressed in the form Ax=B. In this problem the m...

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A: In the given question, the concept of convergence is applied. Convergence The feature of approaching...

Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2 %3D

A: Given  we have given the differential equation x3dy+xydx=x2dy+2ydx y = e when x = 2 we have to find ...

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Q: dx 3. Evaluate the integral I= J. +6x+10 Include 4 decimal places on your computation. a. single app...

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Q: Find the derivative of the function. (2x

A: In the given question, the fundamental theorem of calculus is applied. The fundamental theorem of ca...

Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and ...

A: Definition: A simple graph whose set of vertices can be partitioned into two sets V1 and V2 such tha...

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Q: What is the simple interest to the nearest cent on a credit card balance of P1,150.00 at 11% interes...

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Q: FRP PRP

A: Here we use the following method.

Q: 1 Let v, = - 3 V2 =| 1 V3 = - 6 p= - 2 and A = V1 V2 V3 18 14 a. How many vectors are in {v1, V2, V3...

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Q: ve that the are lengh - loj secx from

A: Introduction: The formula for the arc length for the curve y=f(x) from a to b is given by, L=∫ab1+(f...

Q: What interest will be earned if $4,800 is invested for 7 years at an annual rate of 12% compounded m...

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Q: 2 If sultana grapes cost R2,40 per kilogram, how much will 9 kg cost?

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Q: On a casual day it was found that 12% of the learners wore their favourite t-shirts. The remaining l...

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Q: mation to th- correct to thre

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Q: In a community in which R elderly people and people with comorbidities are susceptible to a particul...

A: To determine the percent of susceptible infected after 6 weeks.

Q: -3 57 [1 3 8 24 11 and B = Compute A-B without computing A-. 6. Let A = 15 25 3 Explain and justify ...

A: Introduction: The system of equations Ax=B can be solved through matrix method. One such method is e...

Q: How many days are there are there in 157 weeks

A: We know that in one week there are seven days.We have to find the number of days in 157 weeks.

Q: 2. Solve the following: Note: m=2 n=7 a. What is the result of the expression which is equivalent to...

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Q: 7 531 Let A = 18 56 then determinant of A, |A| = %3D Answer:

A: Introduction: The determinant is related to a square matrix. It is a scalar value. The determinant o...

Q: FIND THE INVERSE OF THE MATRIX

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Q: 5 1' X' = |-5 -6 4 X 0 2 2 5

A: The given problem is to find the general solution for the given system of differential equations in ...

Q: The solution of y'y = 2 is a relation that is not a function. %3D a Find the general solution of the...

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Q: Given the complex numbers a and b such that |a|=|b|=|a-b|=1. The numbers a and b verifiy the equali...

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Q: Note : m=0 , Weight: 1.25 k he weight of your laptop in gram. What is its weigh

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Q: What is 100+60 plesse

A: Addition of integers with positive signs gives a positive integer.

Q: The function R(x) = –1.07x² + (K + 12.3)x – 116 shows the relation between the | revenue (R) and num...

A: To graph the below function and to show in the graph the maximum revenue value. Rx=−1.07x2+k+12.3x−1...

Q: Form the Equation and Solve it to Answer.  Panchito discovery a refreshing beverage by mixing a 5% c...

A: Let x ml of 5% cranberry juice and (150-x) ml of 90% orange juice is required in order to get 150 ml...

Q: 1. Apply the Sieve Process from 200 to 300. 2. Let p be an odd prime not equal to 5. Prove that eith...

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Q: Sketch the direction field of the differential equation y'=cos(xy); trace a solution through the poi...

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Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x>4

Q: 3. Note : m=0 a. Graph the following function: f (k) + 4 = 3-2x-m + 8 c. Expand logarithmic expressi...

A: Given: function f(x)+4=3-2x-m+8 m=0 f(x)+4=3-2x+0+8 ⇒f(x)=3-2x+8-4 ⇒f(x)=3-2x+4

Q: Problem 3.2 Let x be a real number. Show that [3r] = [=] + x+ + x+

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Q: The following holds for the geometric sequence gn: the first term g1 is equal to 5, the sum of the f...

A: The general equation for the nth of a geometric series of first term a and common ratio r is given b...

Q: Rewrite the given triple integral in cylindrical and spherical coordinates and evaluate one of them ...

A:   Given integral ∫−22∫04−y2∫−4−x2−y24−x2−y2zx2+y2+z2dzdxdy  

Q: 6. Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and %3D DA = 1...

A: Introduction: The area of a quadrilateral is the place that is occupied by the quadrilateral. Suppos...

Q: 18. A foundry produces circular utility access hatches (manhole covers). If 120 covers are produced ...

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers...

Q: The scalar product of two vectors is defined as the product of their magnitudes times the of the ang...

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars, a...

Q: Use any method to determine whether the series converges or diverges. 00 k3 + 27 k=1 O The series co...

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Q: Prove that there is no permutation a such that a'(12) a = (34) (15). %3D

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Q: Q1:Find the limit using L Hopital rule In (csc x) lim xT/2 (x – (1/2))²

A: Given limx→π2ln(cscx)(x-π/2)2 We have to find limit by using L Hospital rule L'Hospital's Rule Suppo...

Q: (a) Show that the curvature of a'smooth curve r(t) = f(t)i+g(t)j defined by twice-differentiable fun...

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Q: Find a Rational number between 1/4 and 1/3

A: We will use basic knowledge of rational numbers to answer this question.  

Q: The variables on a date base have a strong correlation.  What of the following correlations coeffici...

A: The relationship between two variables is generally considered strong when their r value is larger t...

Q: convert to polar form: a.) √2 (160)sin (wt+30°) b.) 20sin(377t-90°)

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Q: Ms Lewis wishes to have her roast duck ready to serve when she returns home at 6:30 PM. If she allow...

A: Ms. Lewis wants to serve the roasted duck at 6:30 PM.It takes 2 hours and 45 minutes to roast the du...

Q: Given the following LP Max    4x1 + 6x2 s.t   1.  2x1    +  2x2   >_   3,        2.    x1 +  3x2 ...

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