H.W. 1- Solving the above example during (n=3, 7) and compare with each integral result by Simpson Rule. 2- x, n=5 n=7 n=3, 7 n=3, 5 (1, 3), 3- x/[sin(x)], (1, 5), 5- 1/(1+ x), (0, 1). 4- x.sin(x), (0, 2),

Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: 1. For each of the following vector fields F(1, y), decide if there is function f(z, y) such that F ...

A:

Q: 8. (a) Write the following in reduced row echelon form and (b) find the rank and nullity of the matr...

A:

Q: d. What is the length of the guy-wire connected to the top of the antenna and anchor 1? feet Preview...

A: To solve this problem we use the following  Cos(X) =( Adjacent side )/ Hypotenuse . Sum of all angl...

Q: Company needs $820,000 at the end of five years to open a new office.  The company decides to utiliz...

A: To determine the money that needed to be invested per period in the fund to obtain the money to open...

Q: prove that C+Ã +3 = ARC Using the truth table

A:

Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: Introduction: A function yx is the solution of a differential equation if it satisfies the equation....

Q: prove that C+Ã +3-ARC Using the truth table

A:

Q: cise 1.10. (a). Let V = R² = {(x,y)| x,y 2 0} with usual addition and scalar multiplication. Is it a...

A: Multiple:   Let , V = ℝ2 = x , y | x , y ≥ 0. We need to show that , V is a vector space or not. We ...

Q: Transient Orifice Flow: Water is discharged from a reservoir through a long pipe as shown. By neglec...

A: Given vt2gh=tanht2L2gh and  t=2.5 seconds  v(t)=3 m/s g=9.81 m/s^2 L=1.5 meters

Q: 4. Find the general solution of the following differential equation given that y(1) = 10 [Hint: intr...

A: 4 Given differential equation is x+1dydx+y=lnx...1. We have to find general solution of the given di...

Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that x" > y

A:

Q: (b) Let z = 24695 + 99288 i. Enter a square root of z, in maple syntax, in the box below.

A:

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

A:

Q: y' + y = 8 (t – 3), y(0) = 1, y (0) = 0 Find y (). ( sqrt(2) means v2) sqrt(2)/2 -sqrt(2)/2 1 -1 sqr...

A:

Q: a. (x² + y?)dx + 2xydy = 0 a?u b. ax2 a?u a?u = 0 əz? ду? c. yy"= x d²y d²x d. x +y dt2 C1 dt2 e. y"...

A: The order of a differential equation is defined as the order of derivative.

Q: S csch-x coth x dx

A: Given,             ∫csch2x cothx dx

Q: e-(2²+y²) dy dx x=-00 Jy=0

A: To evaluate the below integral. ∫x=−∞∞∫y=0∞e−x2+y2dydx

Q: Use Cramer's rule to solve the simultaneous equations 2x + y = 7 3x – 4y = 5

A: The equations can be expressed as 2x+y-7=03x-4y-5=0

Q: Questions: Confirm that gcd(30,40) * lcm(30,40) = 30 * 40. Find integers a and b such that 30a ...

A: The gcd(30,40) is 10 The lcm(30,40) is 120.  

Q: O Showing all your working, find the solution set which describes the area shown in purple below. 10...

A: Solution 

Q: The take-home salary (in kwacha) of 30 unskilled workers from a company for a particular month was 2...

A:

Q: (B) 84312 (C) 74412 thction (6-13): If CHEST is coded 9s 45723 and BALL is coded as 6899, the follow...

A: Given that  CHEST is coded as 45723 BALL is coded as 6899 To find the codes of some given words.  

Q: Solve the using Polya’s four-step problem-solving strategies. Make the necessary conclusion or conje...

A: Introduction: Polya’s four-step problem-solving strategies is very significant in solving a mathemat...

Q: 1:11

A: Given,

Q: Question. Let f:[0,1] → R be a function such that f (x) = x³. Prove that f is R-integrable and deter...

A: Let , f : 0 , 1 → ℝ be a function such that ,  f(x) = x3 We need to show that , f is Riemann integra...

Q: Define f : [0, 0) →R by f(x) = x. Find a function g: R → R such that gof is one-to-one, but g is not...

A:

Q: You have three cereals in your cupboard. You have a strict diet, and every morning, you need to cons...

A: Linear equations

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

A:

Q: B. On the line before each item, write TRUE if the statement is correct and FALSE if the statement i...

A: To find which of the statement is true and which is false :-  Note :- {The area "a" in the graph is ...

Q: C. Complete the paragraphs by filling in the blanks with the correct words, number, or inequality. T...

A: Here x and y represents the number of elementary students and high school students respectively. Als...

Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: To find- First verify that yx satisfies the given differential equation. Then determine a value of t...

Q: Prove the Pigeonhole Principle - If m pigeons are assigned ton pigeonholes, where m>n, then at least...

A:

Q: the number of passenger on the airline rose family steadily from about 200,000 in 1995 to about 3500...

A: `according to question  the number of passenger on the airline rose family steadily from about 200,0...

Q: Consider a solid with uniform density bounded above by the sphere x^2 + y^2 + (z - 1)^2 = 1 and belo...

A:

Q: 5. Solve the following ODE using Fourth-order Runge-Kutta Methode to find y(1.00) if y(0)=-1, y'(0)=...

A:

Q: d WX)=y, y2" -V½ y,". Let W(x)=W[y, Y½] for any two differentiable functions, Then dx Select one: O ...

A: Introduction: The Wronskian is the determinant of functions and their derivatives. Suppose, S=y1,y2,...

Q: prove that C+Ā +3 C+A +B ARC Using the truth table

A:

Q: If P(ENF) = 0.0675, P(E|F) = 0.15, and P(F|E) = 0.3, then (a) P(E)= (b) P(F)= (c) P(EUF) =

A:

Q: If in an AP the sum of m terms is equal to n and the sum of n terms is equal to m .then prove that t...

A: Let us consider the AP a, a+d, a+2d, a+3d,...... The nth term is obtained as  an=a+(n-1)d The sum of...

Q: Exercise 5. Let AABC be a triangle, let D be the point on the (extended) line AB such that DC 1 AB, ...

A:

Q: Consider the function f (x, y) with level curves as shown below. At the point P are two vectors j an...

A: Given: A function fx,y with level curves as shown in the given figure. Two vectors v→ and w→ at the ...

Q: 4 1 A = -1 1 and B = -1 4 4 8 10 (c) Use the definition of matrix multiplication given in Beezer (pa...

A:

Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) = s2 + 9s – 10

A: Note:- L-11s+a =e-a t ; s>-a   Given function is Fs =2s2 +9s-10

Q: Find the inverse Laplace transform L-'{F(s)} of the given function. 3s + 9 F(s) s2 + 6s + 18 Your an...

A: Given that Fs=3s+9s2+6s+18. We have to find the L−1Fs. Take inverse Laplace transform of Fs=3s+9s2+6...

Q: OLet Faffasb)tairbeR} and + defined on AF as fellows! (asb) +ceod) = (atc,b+d) (arb).ccod)= (ac, bd)...

A:

Q: Q4: Solve the following integrals:- dx 4dx (1) S: (2) S: sec xesin x (3) S x sec? x dx 2+cos x

A: Note:-  As per our guidelines, we can answer the first three sub-parts of this problem. For the rema...

Q: 2. Given the following possible solutions to a differential equation. A. y = 2sin (x) B. y = 2cos (x...

A: Given the differential equation yy'+2sin2x=0We have to find these following solution satisfy differe...

Q: Consider a solid with uniform density bounded above by the sphere x^2 + y^2 = 1 and bounded below by...

A: The given problem is to find the center of mass of solid with uniform density bounded above by spher...