lim 918 n(x)lo gx = 1

Q: The second term is 6 and the sixth term is 486. Find the possible sequence.   Use this formula GP…

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Q: Find y(t) solution of the initial value problem y" - 2y' - 15 y = $(t-2), y(0) = 0, where (t) is the…

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Q: Find the solution of the given initial value problem in explicit form. y' = 3x y+x²y ,y(0) = -7

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Q: 5. 2 10 20 (C) 30 (D) 40 B Not to Scale a In the diagram OAB is a triangle with vector OA=a and OB=b…

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Q: Verify Green's Theorem by evaluating both integrals √ _ x² dx + x² dy = √ √ √ (ON-OM) da dA ду for…

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Q: Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects…

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Q: 1) Find the maximum and minimum of f(x, y) = 16x² + y² subject to the constraint 4x² + y² = 16. Set…

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Q: For Exercises 3 and 4, solve the recurrence relation subject to the initial conditions. 3. A(1) = 7,…

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Q: The function Þ(x, y) = 2y³ – x²y+3y + x³ + 2x + A, where A is an arbitrary constant, is the integral…

A: Ans - The given statement is TRUE

Q: Let u = (4, 1, 5), v = (2, 1, 3) and w = (-a, 2, a). (a) Find a vector of length 6 in the opposite…

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Q: Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation is:…

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Q: Consider the IVP: 4y"(t)-4y'(t) + y(t) = 0, y(0) = 0, y'(0) = 1 (a) The characteristic equation

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Q: Im(), where z = - + Bi

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Q: Prove that multiplication of complex numbers is associative.

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Q: Let A = {1,2,3,4} and B = {0, 1, 2, 3, 4, 5). Consider functions f : A → B.

A: (a) Let f:A→B given by f(n)=12340123.Then f be a such function from A to B. (b) Since A={1,2,3,4}…

Q: 10. Use the second derivative test to classify the critical point(s) of the function ƒ (x, y) = x³ —…

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Q: 1. Let A be a nonempty set. Let ~ be a relation on (A) defined by: Letting B and C be arbitrary…

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Q: A candymaker makes 500 pounds of candy per week, while his large family eats the candy at a rate…

A: We have given that, Qt=amount of candy present at time t. A candymaker makes 500 pounds of candy per…

Q: In APQR, the measure of ZR=90°, QP = 65, RQ = 33, and PR = 56. What ratio represents the sine of ZQ?

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Q: The following “Theorem” is obviously not true. Explain what’s wrong with the proof. Theorem: 1 is…

A: Given Data: Given Theorem is : 1 is the largest natural number. This theorem is not true. We have to…

Q: For the following integral, (a) sketch the corresponding area, (b) approximate the area using the…

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Q: A merchant sold two-thirds (2/3) of cement he had bought at a profit of 10%; half of remainder at…

A: Given the merchant sold 23 at a profit of 10% Let the cost be x 10% of 23is =10100×2x3=x15 Therefore…

Q: Solve using Laplace Transform y" - 2y + 2y = 4et; y(0) = 2, y'(0) = -1 Oy=2e^-t + te^-t + 2t^2e^-t…

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Q: Q1 Collection Consider the collection W = {n EN | P(n)} where P(n) is a predicate. Select all that…

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Q: If x and y are integers such that x³ (y + 5) is odd, then x is odd and y is even.

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Q: examine whether the following quadratics are positive definite, negative definite, or indefinite a)…

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Q: 4. Let a be an element of a group. If |a| = 10, what are the possibilities for la? 5. List all the…

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Q: Show all necessary solutions and box all final answ 1. Apply the Mean Value Theorem to the function…

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Q: Consider the two tanks shown in the figure below. Assume that tank A contains 50 gallons of water in…

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Q: Answer is wrong

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Q: Problem 8. Let V be a vector space over F, and let U, W CV be subspaces such that V = UW. Suppose…

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Q: Find an invertible matrix P and a diagonal matrix D such that P¯¹AP=D. 11 0 -6 A=-12 -2 6 20 0 -11…

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Q: (a) For the sequence above, what will the closed formula for an look like? Circle one of the choices…

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Q: 13. Consider the sequence given recursively by a = 1; a = 2an-1 +3;n21. Use backtracking to find a…

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Q: Homer invested ₱7000. How long will it take for his investment to double at the rate of 8%? 15 years…

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Q: Let A denote the standard matrix for a linear transformation T: R4 → R³. The reduced row echelon…

A: Dimension of range of T

Q: A third order linear, homogeneous DE whose general solution is y(t) = C₁e-2t + C₂e-t + Cet is:…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Express the range of each function using roster notation. (k) Let A = {1, 2, 3). f: P(A) → P(A). For…

A: A=1,2,3So P(A)=∅,{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}.Thus…

Q: The volume of a right-circular cylinder is V = r2h, where r is its radius and his its height. Let's…

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Q: Show all necessary solutions and box all final answers. 1. Apply the Mean Value Theorem to the…

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Q: Suppose that the population of Jacobsbaai, a small coastal town on the West Coast of South Africa,…

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Q: The following “Theorem” is obviously not true. Explain what’s wrong with the proof. [5]  Theorem: 1…

A: We see in the proof that it is a fact that n2 > n when n > 1. That means n2 is larger than n…

Q: 3. (J.).xy? dy where y.(1)......

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Q: Use (8) definition to show that lim 2-0 Z 0.

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Q: Prove that for all x ∈ N, x is divisible by 4 if and only if the number given by the last 2 digits…

A: Soln) Let x be a natural number. Then we can write x as: x = x0+10x1+⋯+10nxn Since 102=4⋅25 ≡ 0 mod…

Q: x Find the natural domain of the function f defined by f(x, y) = and /25 - x² - y² draw a sketch of…

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Q: Answer true or false for each of the following questions and give justification for your response.…

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Q: The price of a company's share dropped by 3.50% by the end of the first year, down to $50.25. During…

A: Percentage means 100th part of the whole. It is denoted by %. a% means a100.

Q: Let S = (1 + (nx)²)-¹. a. Show that the series S converge on R\ {0}, but does not uniformly converge…

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Q: Solve the given initial value problem for the Cauchy-Euler equation. ty'' (t)-6ty' (t) + 6y(t) = 0;…

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