Prove the following: If x≤ yand z> 1, then |x+ z≤y+ z.

Q: . Find the relative extrema and saddle points of the following function. 3 3 f(x, y) = 3x + xy - y².…

A:

Q: ch of the following problems, assume a, b, c and d are arbitrary constants, uivalent ODE by…

A:

Q: a) Estimate the angular diameter of your thumb, held at arm’s length (assume your thumb diameter is…

A:

Q: tangent at a point P on an ellipse intersects the major axis at 7 and N is the foot of the…

A:

Q: a) Compute the complex Fourier series of the function f(x)= x on the interval 0 ≤ x ≤ 1.

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

Q: Let F be a field. Show that there exists a, b ∈ F with the property that x^2 + x + 1 divides x^2021…

A:

Q: Directions: In each of the following problems, assume a, b, c and d are arbitrary constants,…

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

Q: (4) Expand the function if-1≤x≤1 (0, if xe [-2, 1) U (1,2] in (either real or complex, your choice)…

A:

Q: 1. During a laboratory experiment, hydrochloric acid reacts with zinc to produce hydrogen gas. The…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: The following system of inequalities represents this situation, where x is the number of radio…

A: The possible choices corresponds to the feasible solution region of the system of inequalities. A…

Q: Given the points A(4,4,5,0) and B(-8,7,-7,0), determine the distance between A and B. Answer:

A:

Q: Give (a) the additive inverse and (b) the absolute value -5 (a) What is the additive inverse? (b)…

A:

Q: Complete the prediction of the result of applying the sequence of transformations to the given…

A: Given: Triangle ABC shown in the picture below: To find: The correct image of triangle after…

Q: Find the measure of each angle of the triangle.   x °  (2x + 2)°  (3x - 2)°

A:

Q: 8. dy (y+1)(x-2)(y-3) (x+1)(y-2)(x-3) = dx

A: given differential equation dydx=y+1x-2y-3x+1y-2x-3 using separation of variable…

Q: Solve for 3r< 12. A. r ≤ 4 B. r ≤3 C. r ≤2 D. r ≤ 1

A: Linear inequalities are defined as expressions in which two linear expressions are compared using…

Q: 13. How much liters of water must be added to 100 liters of 85% sulfuric acid solution to produce…

A: A mixture is made of A and B.  If x amount of A  is added to a mixture, Then the amount of B remains…

Q: The graph on the right shows the remaining life expectancy, E, in years for females of age x. Find…

A:

Q: A= AB ВА 3 05-21 -7 4 -3 2-6 and B = -5 6 9 22377 А -2 1 -1

A:

Q: 10.2 Determine the chromatic numbers of the following graphs. Feel free to look up what the graphs…

A:

Q: Let X, Y be metric spaces. let f: XY cartinsors. If X is compact, f is uniformly uniformly…

A:

Q: 22. Let : R→ S be a ring homomorphism. If Q is a prime ideal in S, prove that 6-¹(Q) := {r € R |…

A:

Q: According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a…

A:

Q: The declining-balance method of depreciation is an accounting method businesses use to deduct most…

A:

Q: 2. Show the preliminary tests for the given DE to which method will it satisfy base only on our…

A:

Q: Find the solution of each of the following differential equations. 5. 위는 = 0² + 1

A:

Q: 8) Consider the function f(z) given by f(2)= 24-2 cos 20z² + 1. (a) Show that f(z) has zeros at eie,…

A:

Q: f(x) = √21 - 4x - x²

A:

Q: Draw all non-isomorphic graphs with 3 edges on 6 vertices.

A: Since multiple questions have been posted we have answered the first question as per the policy,…

Q: You make 90 fancy chocolate tarts for Valentine’s Day bake sale at cost of 3.25 each. If a spoilage…

A: Solution

Q: Mark Gershon, owner of a musical instrument distributorship, thinks that demand for guitars may be…

A: Given: The below table, Maroon 5 TV Appearances Demand for Guitars 4 2 5 5 7 8 5 4 9 9…

Q: ÿ +6y=t²e-at + 4 = sin² t y(0) = 0 x(0) = 1 (0) = 0. (0) = 0.

A:

Q: I. Identify the corresponding propositional form and give the truth value. 1. "If neither March nor…

A: nither nor  means ~p∨q either or means  p∨q If and only if  means ↔ If..... then means → Not means ~

Q: 2. (a) Draw and parametrize the circle of radius two centered at (1,-1,1) and lying on the plane…

A: (a) Here we need to the equation of the circle centered at 1,-1,1, radius 2 that is in the plane…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A:

Q: (Remainder Theorem) Let F be field, a ∈ F, and f(x) ∈ F[x]. Then f(a) is the remainder in the…

A:

Q: Let f be the function defined for - ≤ x ≤ π by 1 0 f(x) if - π/2 ≤ x ≤ π/2 otherwise and then…

A: given function f defined for -π≤x≤π by fx=1if -π2≤x≤π20otherwise and then extended to be 2π periodic…

Q: of the following partial area functions. 4x² +1 √t - 1dt; Find the derivatives (a) F(x) = (b) G(x) =…

A:

Q: I. Let r, t and e be arbitrary proposition, tautology and contradiction, respectively. Show the…

A: A proportion is a statement that is either true or false. A contradiction is a statement whose truth…

Q: Directions: In each of the following problems, assume a, b, c and d are arbitrary constants,…

A:

Q: A tank contains 150 gallons of brine. Initially, the tank contains 20 pounds of salt. Brine…

A:

Q: 4. Let f(x,y) = x² + xy + y² Let D be the region in the ry- plane bounded by a hexagon whose center…

A: As per the question we are given an optimization problem where we have to find the absolute maximum…

Q: The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t)…

A:

Q: Find the solution of each of the following differential equations. 2. d+51 = 10; I(0) = 0

A:

Q: The expression O a-b a + b O a³-b³ a³ + b³ O a² + b² ab 0 % + b/10 a a² - 64 a³b + b³ a b O (1-2) (1…

A: We have to use algebraic identities to solve the question.

Q: The interval from -2.07 to 1.87 captures an area of 0.95 under the z curve. This implies that…

A:

Q: III. Determine whether the following arguments are valid or not. 1. "If one is a dangpeu then one is…

A: Solution: 1. If one is a dangpeu then one is also a hwipeus.      So, dangpeu --&gt; hwipeus…

Q: The domain for this problem is some unspecified collection of numbers. Consider the predicate P(x,…

A: Introduction: An extension of propositional logic is predicate logic. To more accurately explain the…

Q: ind the length of the chord of contact with respect to the point n the director circle of circle x²…

A:

Q: (a) Derive a general mathematical expression to find the probability of 2 people having colliding…

A: What is Probability: The area of mathematics known as probability deals with numerical…