Given F = [ty, yz, za], S: x² + y² <4z², 0

Q: Evaluate [ sin” (tanx) x² I= So dx

A: Given, Integral  And according to lobachevsky integral formula

Q: Prove that in every principal ideal domain, each pair of elements has a greatest common divisor.…

A: Principal Ideal Domain (PID):A principal ideal domain is an integral domain in which every ideal is…

Q: The profit (in hundreds of dollars) from the sale of a sets of car tires and y sets of truck tires…

A: Given Profit function P(x,y)=−x2−y2+2x+6y

Q: 4= -59-x2-16x +15 2(x-s)

A: Curve for x-intercept,by cross multiplyNow, we determine root of the quadratic equation..Use formula…

Q: - Perform a second order condition "check" to confirm that your answer in part (a) does indeed solve…

A: Given:The problem is  such that To Prove:The  is not defined if and only if last  leading principal…

Q: Joy pays $9500 for shares in a new company.

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Q: Let T: R³ → R² be the linear transformation that first projects points onto the yz-plane and then…

A: Let T : R3 → R² be the linear transformation that first projects points onto the yz-plane and then…

Q: Given the equation below, graph the polynomial by hand. On your graph indicate x and y intercepts,…

A: Given the equation below, graph the polynomial by hand.We have to find agraph indicates x and y…

Q: 1. Given fog(x)=√x³ + 3x² + 3x + 1, state two different possible sets of functions for f(x) and…

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Q: 3. (a) If f is a measurable function then show that |f | is also a measurable function. (b) Show…

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Q: Let A = {-9, -7, -6, -4, -3, 1, 3, 4, 8, 10} and B = {-7, -6, -4, 1, 4, 8, 10}. How many sets of C…

A: Given that C has a property thatfrom the second condition we can conclude that all the elements of B…

Q: lim 1²-5t+6 1-2 ,cus (nt), In te')

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Q: Find two different vector parametrizations of the line through P = (8,8, 4) with the direction…

A: A line through  with the direction vector .To Find:Vector parametrization of the line.

Q: Give KB, determine KB a using approaches for propositional logic. ( KB: 1. A 2. C 3. CAE 4. AVF ⇒…

A: Given:Aim:a) To prove Concept Used:Rules of Inference:1) Modus Ponens:.2) Modus Tollens:.3) De…

Q: Find the general solution of x²y" + 10xy + 8y = x² Use the variation of parameters.

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Q: Express the complex numbers in the form x + iy. Show all your work and please answer a, b, & c as…

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Q: Determine whether the following sets with the corresponding vector addi- tion and scalar…

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Q: 12 2 14- = -3 are 3 Determine if the pair of vectors V₁ = 3₂ orthogonal.

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Q: Jarvis is shopping for a used car and feels that there is a relationship between the mileage, the…

A: Jarvis is shopping for a used car and feels that there is a relationship between the mileage, the…

Q: (a) First suppose that the two types have the same intrinsic growth rate r = r₁ = r2 but that they…

A: Let X'=AX be a system of differential equations,  the nullclines occur at X'=0 .Let x* be an…

Q: The set of odd integers is a) Uncountable b) Denumerable c) Countable d) All the above

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Q: The wind-chill index W is the perceived temperature when the actual temperature is T and the wind…

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Q: Tempco Corporation has a machine that produces 2034 baseball gloves each hour. In the last 2 days,…

A: We have to calculate the total number of baseball gloves produced by Tempco Corporation.To do that…

Q: An enterprise is planning a new radio and TV advertising campaign. A radio commercial costs $300 and…

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Q: 1. Suppose D = diag (1, 2, 3, 4, 5), M = (a) D¹00 (b) 60D-¹. (c) M+MT. 1 (d) DM. (e) MD. (f) Mv. 4 0…

A: The given matrices,, , .The aim is to find,(g) (h) (i) (j) .

Q: Use Stokes' theorem to evaluate So F. dr, where F(x, y, z) = x²y + x³ + xy k and C is the curve of…

A: Given,(a) Using Stokes's theorem  evaluate  .Where the curve is intersection of the paraboloid  and…

Q: 1. Derive a method for approximating f(x) whose error term is of order /² by expanding the function…

A: We have to derive a method for approximating f'''(x_ 0) whose error term is of order h² by expanding…

Q: Find the volume of the following solids. The base of a solid is the region between the curve y =…

A: Here given that base of solid is given and cross section is equilatural triangle. to get the…

Q: Let A = {x N: 4 < x≤ 11} and B = {x € N : x is even} a. Find An B. b. Find A \ B.

A: The given sets  and .The aim is to find the sets  and .

Q: What is the point of intersection between y= 2x-5 and y=2x2 + 16 x -25

A: The given equations are  and .To Find:-We have to find the point of intersection between  and .

Q: 3. Calculate the Commercial Simple Interest of 4,300 for 50 days at 1.6%. 4. Calculate the…

A: Commercial simple interest of 4300 for 50 days at 1.6% is =9.42Here the effective simple interest…

Q: Consider the vector space W ((0)- 2z = 0andy + w=0 :r Find the projection matrix Pw onto the vector…

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Q: Let A= O 1 O Jordan's normal form. Find C such that C²₁AC=J₁

A: Given matrix:To find:The matrix  such that .Concept used:1) The Jordan decomposition of the matrix…

Q: The vector 6 is a linear combination of the vectors 5 -5 equation A = has a solution 7, where A = 16…

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Q: (b) Now set K₁ = K₂ = K but suppose that each type is less sensitive to crowding from the other type…

A: Given:Also,To Find:The nullclines and direction field for this system for the case where .The…

Q: [sin(y)- y2 +1] [x cos(y) 2xy Use your work from question 6 to evaluate: 7) Let F(x, y) = and let C…

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Q: Given that A and B are two square matrices such that AB = 0. Show that if A is invertible then B =…

A: Since both sub parts are different. So as per our guidelines, we are supposed to solve only first…

Q: Suppose that f is a continuous function, and suppose that the following table lists some values of…

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Q: Prove that 5 root 6 is not rational.

A: We have to prove that 5 root 6 is not rational.That is we have to prove that  is irrational.We know…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., 1, j}. Let A = {c, e, f, 1), B =…

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Q: Which of the following properties, when taken together, guarantee that a function f(t) defined for…

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Q: Assume that after one time period, the value of a stock whose present value is 90 would be either…

A: Consider a stock with a present value of Rs 90. Either Rs 130 or Rs 65 would be the value after one…

Q: 2-61. As a bank employee, you've been asked to determine the pricing of an annuity for a client. The…

A: As a bank employee, you've been asked to determine the pricing of an annuity for a client. The…

Q: A) Show that the function u(x; y) = 5x4y - 10 x²y³ + y5 is harmonic and determine the harmonic…

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Q: Write equations from the following below that can be used to create an animated design on desmos…

A: Given:The animated design must meet the following:It must have a minimum of 10 functions.It includes…

Q: 82 F-0 X 0₁/ 6 164 (NOT IN SCALE) With Cartisian coordinates, express a force vector F, where 0₁ =…

A: Given Information:; To find:The component of the force on each axis.Concept used:The Force…

Q: An exponential function in the form f(x) = abx + k is given. Ty -7 -6 5 O + 3 f(x) 10 -3 -2 -1 9 8 7…

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Q: Use the finite difference method with the step-size h = to approximate the solution of the given…

A: Given differential equation isAs, we knowUsing finite difference method:-

Q: An adult takes 500 milligrams (mg) of ibuprofen. Each hour, the amount of ibuprofen in the person's…

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Q: Use Euler's method to approximate y(1.8). Start with step size h = 0.1, and then use successively…

A: Consider the given equation.And,The Euler formula is defined as.