1. The sum of two numbers is 45. The first number is twice as large as the second number. What are the numbers?

Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: First let xy be positive  Then either both x and y are positive or both are negative  If both are…

Q: (2) Let x,y and z be real numbers. Show that the distance between a real number x and z is the sum…

A:

Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: From the above data  x P(X)  X*P(X)  X-µ (X-µ)2   (X-µ)2 *P(X) 0 0.1 0 -2.2  4.84 0.484 1 0.2…

Q: General Direction: Perform each of the following steps. a. Find the Spearman rank correlation…

A: Given: Sample size n = 6 Significance level α = 0.05 Formula Used:  Correlation coefficient r =…

Q: dV = r dz dr de where R: 0< Draw the solid R. z = √√3x² + 3y² and below the Duom solid

A: Using the volume of cylinder and the solid is given as,

Q: Scenario: A mathematics placement test is given to all entering freshmen at a small college. A…

A: The question is based on a regression model Given :

Q: 4. Evaluate the double integral: Y SZ (Hint: Change the order of integration to dy dx.) dx dy. +1…

A:

Q: Use the divergence theorem to evaluate ]] F .dɔ̃ where F = xyi – ¹⁄y²j+zk and the surface consists…

A: Here, the surface consists of the three surface z=4-3x2-3y2; 1≤z≤4 on the top x2+y2=1, 0≤z≤1 and z=0…

Q: Typewritten for an upvote

A: Let, x is any real number and A is subset of R.

Q: 5.) Simplify. Write "undefined" for expressions that are undefined. -2 -3 THE -6 -3 M

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Q: 2.) 3x + 3z = 0 2x +2y = 2 3y + 3z = 3

A:

Q: Find the solution. (dy/dx) + xy = xy A y = (ce+1) B x= (ce+1) Cy = (ce-x²-1) Dx= (ce 1)

A:

Q: Question 1 A truck is to travel 1000 kilometres at a constant speed of v km/h. When travelling at v…

A: Given data

Q: DO NOT FORGET TO INTERPRET Don't answer if you already answered this. If i see the same solutions,…

A: Number of stations(n)=20 Mean score(x)=86.1 Standard deviation(σ)=9.1

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A:

Q: a. Find the Spearman rank correlation coefficient. b. State the hypotheses. c. Find the critical…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: In the poset represented by the Hasse diagram, consider the set {e, h, i}. The upper bound of this…

A:

Q: 4. Evaluate the double integral: L Lope y¹/3 (Hint: Change the order of integration to dy dx.) dx…

A: Given problem:-

Q: A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion, the…

A: Equation of position of particle during 5 second is given by s=10-(3-t)2,  0≤t≤5 Initially at t=0…

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A:

Q: Question 17 Find an equation of the line representing the given data. Write the equation in…

A: Draw the picture and find the equation of line:

Q: Show that it is impossible to duplicate the cube by use of straightedge and compass

A: Duplicating a cube means constructing a cube whose volume is twice that of the given cube. We may…

Q: ripie the volume of the solid B that lies above the cone z = √3x² + 3y2 and below the sphere x² + y²…

A: Given: The equation of cone is z=3x2+3y2 and the equation of sphere is x2+y2+z2=z. Find: The volume…

Q: C. Problem solving Use any method (inductive, deductive, Polya's) 4. Using eight eights and addition…

A: Using Polya's method: Step-1: Here, note that you can use only number 8 and addition to take 1000.

Q: (: Find y as a function of x if y" + 64y' = 0, y(0) = -1, y'(0) = -24, y"(0) = 0. y(x) =

A:

Q: 2. A man put a pair of rabbits in a cage. During the first month the rabbits produced no offspring…

A: It is given that during the first month the rabbits produce no offspring and thereafter produced one…

Q: A. Using inductive reasoning to predict the next number. 1, 3, 6, 10, 5. 6. 1, 8, 27, 64, 125, 7. 1,…

A: We can predict the next number by using the inductive reasoning.

Q: x2-x-2 2x-4 2sin(6x–12) 3(x-2) Sx-1 Let f(x)* ,g(x) • and h(x) Vz+2+1 a. Find lim f(x), lim g(x),…

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Q: Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4 4

A: F(s) = L-148-60ss4 F(s) = L-148s4-60ss4 F(s) = L-148s4 - L-160ss4

Q: Let R be the solution region for the system of inequalities { x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

A: The system of inequalities is provided as: x2+9y2-18y≤0y2+2y-x2&gt;0 The solution region is R and we…

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: For group Zat. Z29. Find all generators ot Zn and tind all ele ment of Order 6 in Z24.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Scenario: A mathematics placement test is given to all entering freshmen at a small college. A…

A: Correlation coefficient is denoted by r

Q: The Standard Matrix For A Linear Transformation Theorem 6.10 Standard Matrix for a Linear…

A:

Q: ii. Give the transformation matrix for a rotation through л/2 followed by a reflection in the…

A: We have to give the transformation for a rotation through π/2 , followed by reflection in the…

Q: B. Finding counter example * Find a number that provides a counter example to show That the given…

A: 1.       For all number X , X&gt;1/X..................................(1) Now we have to prove…