.1 Use a calculator to calculate the following. Write your answer using the rounding instruction within the brackets. 1.1.1 2,3 + 67,9 (Round to one decimal place) 1.1.2 2 (8 + V 16) - 1 (no rounding necessary) 1.1.3 25 - 1 (Round to two decimal places) 1.1.4 (3, 5)² (Round to one decimal place)

Q: 2) From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible i...

A:

Q: 6. - ydx + (x ++ Jy )dy = 0 7. (1+x*)dy + x(1+ 4y°)dx =0 8. (e* + y)dx + ( 2+ x+ ye" )dy =0 2y 9. 4....

A:

Q: 1 О. 15 Show that %3D (D - Q) k e k

A:

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: Exercise 3.6.3 Assume gcd(m, n)=1. Define f :Z→Z„ O Z„ by f(x)=(x+mZ, x+ nZ) and show that f(x+ y)=f...

A:

Q: Question 10 Given z = 1 + iv3 find r and O such that Z = re". Or= 4, 0 = - Or = 2, 0 = - I| Or = 4, ...

A:

Q: Consider R×R to be a universal set with subsets A, B, and C defined as follows. = {(x,y)x* + y° s1} ...

A:

Q: 3. Find the general solution of (1+x²)y' + xy = x-1(1 +x2)-/2

A:

Q: 1. Let a and b be natural numbers, where a, b> 2, such that god(a, b) I and ab = (x + y)" for some n...

A: As per our guidelines if you not mentioned which question need to be solved, by default we will solv...

Q: Let p = "Twenty-one is a prime number" and q = 'an integer can not be both odd and even'. %3D What i...

A:

Q: Let an be the nth term o structed by including the

A: Given, an be the nth term of the sequence                    1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, ...

Q: Consider the matrices 0 7 0 8 0 0 0 0 1 4 13 -1 7 1 0 3 1 2 -1 25 -3 -19 1 -2 -1 A = 3 -6 1 1 1 and ...

A: The main objective is to solve part a,cand d. In order to solve using the columns of A and using the...

Q: (d) A Cauchy sequence with an unbounded subsequence. (e) An unbounded seuqence with a Cauchy subsequ...

A: The given problem is related with Cauchy sequence. We have to give an example of a sequence with the...

Q: t the following functions : allest maximum value to ximum value. f(x) = -5a? – 11 5x²

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: 1. Use the Wronksian to verify the given functions form a fundamental set of solutions of the differ...

A:

Q: A raccoon walks from A = (0, 0) by going either one unit right or one up at each grid point. Which o...

A: Racoon walks from (0,0) according to flipping of coin either on unit right or one unit up.Now the pr...

Q: cylinder has a base diameter of 8 feet and a height of 5 feet what is the volume of cubic feet to th...

A: The volume of the cylinder is given by Volume =πr2h

Q: Q 3:7 Let f(2) = , 0.2<xEl.8. Suppose we approximate frm) by the 4th degree Taylor polynomial T,(2) ...

A: Given the function  fx=1x2 and the interval is 0.2≤x≤1.8 

Q: uso a.) y – y = ty², y(0) = 1

A: We have to find the solution of differential equation.

Q: (2) Consider the following system of differential equation, with time domain t e (0, 1): a' = -2x + ...

A: Given, system of differential equation with initial condition is x'=-2x+4e-t          (1) y'=-xy23  ...

Q: 3.) Determine whether the set of odd fuction: f (-x) = -f(x) which is a subset of C(-∞,0) is a subsp...

A:

Q: uation (D² – 4)

A:

Q: 14x10 1. The velocity of a rocket is given by v(t) = 2000 In |-9.8r,0sts 30 where [14×10ʻ – 2100r v ...

A: Introduction: The acceleration of an object is determined by differentiating the velocity function. ...

Q: Draw projections

A: The question post explicitly on the top (in the text form) mentions to "Draw projections". So, we ta...

Q: 4. Given the two vectors rA =-ax - 3ay - 4az and re= 2ax + 2ay + 2 az and point C (1, 2, 3) find: a)...

A:

Q: Find the inverse Laplace transform 3s +1 b) s(s? +1)

A: We need to find Inverse Laplace of ,  Fs = 3s + 1ss2 + 1 First we need to Partial fraction of  F(s)....

Q: Of the 300 grade 10 students of a certain high school, 120 joined Mathematics club, 115 joined scien...

A:

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

A:

Q: • In Exercise 1 you showed that the polynomial r³ – 4x + 2 has a zero in R. This result can be gener...

A:

Q: There are at least 3 different ways to solve the equation (csc^2(2theta)-1)^2 = 9. Use at least 2 di...

A: We are given the equation csc22θ-12=9. As per the instruction, we will be using 2 different methods ...

Q: A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, a...

A: Given: A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Cel...

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

Q: ralues are positive or zero

A: for the solution to be optimal, in the minimization problem for the simplex method, depends on the v...

Q: Find the fifth term of the Taylor series of the function f(x) = sin(2x + ¬) at x = 8 4

A: Consider a differentiable function f(x). Then the Taylor series of f(x) is given by the formula f(x)...

Q: 2.2 Julia needs to make 500 hamburgers for a school function. Hamburger patties are sold in packets ...

A: Number of hamburgers needed by Julia = 500And one packet of hamburger patties contains 12 hamburgers

Q: n Problems 1–18, solve each differential equation by variation of parameters. 2. y" + y = tan x 4. y...

A: To solve the below differential equation using the variation of parameters. 4y''−y=ex/2+3

Q: EXTENSIONS Given any seven different non-zero digits, what placement of the digits in a two-digit nu...

A: Let's consider the seven non digit numbers are: 3, 4, 5, 6, 7, 8, 9.   A four digit number and three...

Q: 38 Divided by 3

A: A fraction is a number in the form xy (where x and y are both integers and y≠0). In the above number...

Q: Use Karnaugh map to reduce the following Boolean expression then draw the digital circuits for the s...

A: Any Boolean expression can be represented in K-map (i.e. Karnaugh map). Here we have only 3 variable...

Q: The polynomial p(x) = 6x4 - ax3 - bx2 + 28x + 12 where a and b are constant, has factors (x+2) and (...

A: The given polynomial is p(x)=6x4-ax3-bx2+28x+12 since x+2 is the factor so x=-2 will make the polyno...

Q: e of f(3x

A:

Q: What is 100+60 plesse

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

Q: Least residue of 45^37 mod 19 when using Fermats Little Theorem

A:

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 1.1...

A: Introduction: The central difference approximation is a better way to approximate the derivative of ...

Q: The graph of an exponential f

A: Given,          

Q: C along with the following operations defined: (a1, a2) + (b1, b2) =(a1 +b1 + 1, az + b2 +1) C • (a1...

A:

Q: Determine the truth value (T or F). Show the solution

A:

Q: Determine validity using euler circles. No cat is easy to please. All persons who are easy to pleas...

A: Eulers circle is a dramatical representation which tells about the set and its relation. It helps to...

Q: a) Given f(x) =- ax +b , where a and b are constants. Find f'(x) by using the first principle. dy fo...

A:

Q: 3) (i) Let X be a set containing elements a and b. Define T= {X, Ø, U| a E U and b E U}. This is a s...

A: Definition:  A collection of subsets I of X is said to be a topology if it satisfies following condi...