The take-home salary (in kwacha) of 30 unskilled workers from a company for a particular month was 2482 2392 2499 2412 2440 2444 2446 2540 2394 2365 2412 2458 2482 2394 2450 2444 2440 2494 2460 2425 2500 2390 2414 2365 2390 2460 2422 2500 2470 2428

Q: y =- Inx; x?y" + xy' – y = lnx %3D х

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: An ingot of mass 1,148 kg contains copper, tin, and lead in the ratio 9:4:1. Calculate the value of ...

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Q: QIFind 7 7х - 23 d. (х- 2)(х - 5)

A: Introduction: When a rational expression is divided into the sum of two or more rational expressions...

Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

Q: he nth term of the following sequence : -1/5, 3/8, -5/11, 7/14, -9/17

A: In the given question, the concept of the sequence is applied. Sequence A series is created by a seq...

Q: Find the following limits if they exist. 1. 2 3. lim x→+0 5x – 7 8x 4x +1 lim X +2 +x + 27 lim -7 2 ...

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Q: Compute the flux of the vector field F = xi + 5yj through the cylindrical surface as shown in the im...

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Q: 2. Let W be an (n – 1)-dimensional subspace of V. Show that V has a basis B satisfying Bn W = Ø.

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Q: n of the initi (0) = 2 is

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Q: A group of 25 students has a mean value of 70 on an examination. A second group of 25 students obtai...

A: Given First group of 25 students have mean value = 70 Second group of 25 students have mean value = ...

Q: A firm's total annual expenditure was $ 494,200 and 5/14 of this was for wages. What was the annual ...

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Q: Hin Find Fourier trins form of fu) =/! Ixa ! sinp Then find: O :oS Ein Pa Cos px_dp , ☺ dp

A: We have to solve the given problem by Fourier transform.

Q: Let A=(0, π ) υ (π e?] %3D c. Is A a closed set? d. Does A contain any isolated points? е. Find the ...

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Q: Robert wants to buy a sports is on sale for 25% off. If the price is $35 and sales tax is he sale pr...

A: In this question, the concept of percentage is applied. Percentage When computing the percentage of ...

Q: (d) Give an example of functions f: A → B and g: B → C, such that go f is onto, but ƒ is not onto. (...

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Q: 3. Which of the following is a solution to the DE y" – 9y' + 18y = 0. You may use the shortcut taugh...

A: We have given differential equation, y'' - 9y' + 18y = 0 Here , f(D) y = 0  where , D = ddx Thus, D2...

Q: Definitions. A subset Q of R is called an open rectangle if Q = (a, 6) x (c, d) for some -00 0 ther...

A: To show that A=(x,0)∈ℝ2:x∈ℝ⊆ℝ2 has two-dimensional measure is 0.  A=(x,0)∈ℝ2:x∈ℝ⊆ℝ2 Let A1=[0,1]    ...

Q: A differential equation is given as x*- 2x + 2y = 4. dx The solution of the differential equation in...

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Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 3 27 3 1. lim c...

A: We have to find the limits for given function at different x values.

Q: EVALUATE cos (bx/) dx cos

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Q: 1.91 A subset E C R is called closed if and only if its complement R\E is open. (For example, R itse...

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Q: V [2] Let u* be an outer measure on a set X such that B is a subset of X, then u*(AU B) = u*(B). *(A...

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Q: Find the round-off error of the following using 5 significant digits: 1 1. 3 2. tan 150 3. 1 — п 4. ...

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Q: 11)For what value of 'x', the expression x - 5x + 6 is poS A) x 3 B) x > 2 and x 4 and x 3

A: 11 Given expression is x2−5x+6. We have to find the value of x for which the expression x2−5x+6 is p...

Q: 11. For the following, (a) Find the characteristic equation of matrix A, (b) Find the eigenvalues of...

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Q: a) How many maximal elements does P have? b) How many greatest (or maximum) elements does P have? c)...

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Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,. Justi...

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Q: 1 + ..+ 3x5 1 Find the sum: 1x3 1997x1999

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Q: A В C Figure 1: Graph of y (a) Apply Intermediate Value Theorem to find the smallest interval (a, b)...

A: given function y=4x5+2x4+7x2-26x+ex-4 a) apply intermediate value theorem to find the smallest inter...

Q: ) Assume (XA) is a Eagebra ond ld ycx be an anbitrary subset. Show that the Family of sets Bi=}unylu...

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Q: one of themore important theroman real ani llyGes is Fa tou's lemma. state the lemma and say Sometih...

A: In the question , basically asking for Fatou's Lemma and its proof .   Fatou's  Lemma  :  Let {fn}  ...

Q: 4000 3500 3000 2500 2000 1500 1000 500 200 250 300 350 400 450 Number of Customers Number of Custome...

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Q: 2. Show how the graph of Fig. 5.8 can be drawn in the plane without crossings.

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Q: y implication, P implies Q, the contrapositive of the implication is logically equivalent to P impli...

A: Introduction: a proposition or theorem formed by contradicting and swapping the subject and predicat...

Q: Suppose that 19% of all athletes in a sport use a banned drug. A test is available that detects 88% ...

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Q: 4. ( A 2-kg mass is attached to a spring with stiffness k = 18. Neglecting dampıng. write out the eq...

A: Given that: Mass of the attachment, m = 2-kg Stiffness of spring, k = 18 To find the equation of m...

Q: 3.) Prove: Given an integer n, show that a. If n is even, then n - 1 is odd. b. If n - 1 is odd, the...

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Q: 2. Given the data 0.2 0.4 0.6 f(x) 1.9934 2.1465 2.2129 2.1790 0.8 1.0 1.2 1.4 f(x) 2.0683 1.9448 1....

A: We can solve this by using given data and formula of Central difference

Q: Find the sloution of the given DE dy Y – x y(0) = 1, h = 0.1 at x = 0.5 %3D dx y + x Yexact = ? (fin...

A: The differential equation is dydx=y-xy+x We put y=vx Then, dydx=v+xdvdx

Q: Show that (a) S' = {z= a + bi E C|a, b E R, |2| = a² + b² = 1} is a subgroup of C*. cos O – sin 0 (b...

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Q: The rationalisation factor of 2 /3, is a) 2-3 b) 2-V3 d) 2+3 ) V3-2 3.

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not defined....

Q: 5. Use the result of the previous problem to calculate the area of the hypocycloid z²/3 + y2/3 = a²/...

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Q: 1 u (-y°i +x rmal vector to

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Q: Find the angle between AtZB and B+.A ?where F= i+2j-3K and B = 3i-j + 2K Parallel to

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Q: Translate the following stetements between predicate logic and English. (Hint: Use DeMorgan's laws (...

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Q: (t2 –1 if t < 5 (2kt The value of k to make the function f(t) continuous at t-5 is if t 5

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Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm ...

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Q: 3 sin? dx |- csc? x tan? x dx 4

A: To solve the given integral (3)  ∫1sin2xdx

Q: 8. Let (X, d) be a metric space, and A, B are subset o X, then (i) Fr(A) = A O (A)° = A – int A Avie...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Q5/ Find the integrals for the given functions. (Use the appropriate method of ati

A: Introduction: Partial fractions are used to break down a complicated rational expression into two or...