Question 2 (a) Let U be the set of the total number of students at a school, A be the set of students who play football and B be the set of students who play basketball. There are 240 students in the school: • 120 students play football • 40 students play basketball • 90 students play football but not basketball. i. Draw a Venn diagram that represents this information ii. Find the cardinality of the set A'n B'

Q: Given the following set of discrete data in Table 2. Table 2 0.2 0.3 0.4 0.5 0.6 0.7 f(x) 1.0832 1.3...

A: Given: Set of discrete data, To find: f'(0.4) using backward difference.

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A: Given C: z-i=9 We will find the value of∫C1-zzz+1dz Cauchy's Integral Formula: Let fz be a function ...

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Q: 4. Prove that: Jx'J,Ex) dx 2 3x J,Cx)-(x-3x) J.cx) -3

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Q: 2.1 Sibu works part time at U-save store. He earns R15 per hour. 2.1.1 If he works 9 hours per day f...

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Q: estion 11 any whole number is divisible by 3, then the sum of its digits is divisible by 3. O False ...

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A: find the slope of the tangent line to the graph at 1,1; x2y2-9x2-4y2=0 differentiate the equation wi...

Q: :(Show all steps) a. Value of a, b, c, d. b. Y-1 x A с. А+ X

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Q: 3 %3D 我一

A: 935÷1214 change the mixed fraction to improper fraction 485÷1214 change the division sign to multipl...

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Q: Q: Solve the system of equations if consistent by Gauss Jordan method. x + 2y - 3z = -2 3x - y -  2...

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Q: Discrete math

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Q: Error Analysis Your friend incorrectly makes this graph as an example of a linear function with init...

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Q: Suppose there are 4 candidates running for a public office. The candidates are A, B, C, and D. The r...

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Q: P4.3 If the 4th term of a geometric progression is 72 and the 9th term is 2304, then find the 12th t...

A: We will use basic knowledge of GP and arithmetic to answer this question.

Q: Let Define addition and scalar multiplication as follows. b +e) Ic+f kby verify the following axioms...

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Q: 1.3 KPMN is a parallelogram. ON bisects KNM and OM bisects NMP. Let N= x and M = y and show that NOM...

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Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy u...

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Q: Two polynomials are defined in MATLAB as >>p=[5 03 2 0]; q= 0 -1]; lo find the zeros of T(s) = p(s)/...

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Q: Evaluate the given function ſ cos²xsin³dx cos$x а. cos³x + C 5 cos³x cos"x cos3 + C 3 b.- cosx с. co...

A: Solution

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Q: Example: Evaluate the following Integral CO -x=V2 ry=2 x³ev° dydx Jy=x²

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Q: 10= hyp 6.

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Q: Susan is drawing stars in her notebook. She draws 5 stars on the first page, 15 stars on the second ...

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Q: 21 Care must be taken when the solution of a DE involves inverse functions. Solutions may be inadver...

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Q: sin wt O<t< I f(t) = O IT ast 3

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Q: 3 50 X+60

A: One full rotation around a point form a complete angle 360  Acute angle the angle measure less than ...

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

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A: Using the table of Laplace transformation, it can be written that: Leatcosbt=s-as-a2+b2.

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Q: The maximum and the minimum values of the function f(x, y, z) = x + 2y + 2z subject to the constrain...

A: Given, f(x, y, z)=x+2 y-2 zSubjubed to the constraintg(x,y,z)=x2+y2+z2-9=0The gradient vector of f&a...

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A: If ∫f(x)dx=F(x)+C, then it can be written that f(x)=ddxF(x). Here, f(x) is the derivative of F(x) an...