Find the answer or say "does not exist": (a) what is the smallest positive real number? (b) what is the smallest integer larger than 50? (c) what is the smallest rational number bigger than 1?

Q: Yaster Car Sharing offers a membership plan with a $55 per month fee that includes 11 hours of…

A: We are given the piece wise function, we have to find the value 'b'.

Q: Consider the first order ODE y' = √y² – 9. Use the fundamental existence-uniqueness theorem (on page…

A: The given first order ODE is .The aim check whether the ODE has a unique solution or not at the…

Q: Explain why there does not exist À E C such that \(2 − 3i, −6+7i) = (12 — 5i, 32 — 9i)

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Q: Which of the following are true for a function of odd degree with a negative leading coefficient? a)…

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Q: 2. Find the general solution to the given system: x' = 1 1 -8-5-3 1 2 113 X.

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Q: 2.4 Q7

A: The objective of this question is to find the points of discontinuity of the given function y = 9 +…

Q: Consider the wave equation utt = uxx, (x, t) ∈ R2. Find two disctinct solutions to the equation.

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Q: Given that lim f(x) = -2 and lim g(x) = 4, find the following limit. x-1 X-1 lim [6f(x) + g(x)] x→1…

A: To find the limit limx→1[6f(x)+g(x)], it can use the properties of limits. Since limx→1f(x)=−2 and…

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Q: Thank you very, very much! Could you help me with the last 3 parts?

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Q: In cylindrical polar coordinates, a scalar field g and a vector field G are given as: g(p, o, z)=…

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Q: 4- Find the volume of the region in the first octant bounded by coordinate planes x+y=1, y + 2z = 2

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Consider the curve a(t) = (e¹,e², [2t). Calculate a (t), |la (t) ||, and reparametrize a by…

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Q: 3. Let Re be the real numbers with the topology having as basis {[a, b) | a<b € R}. Show that Re is…

A: A topological space  is considered normal if, for any disjoint closed sets A and B, there exist…

Q: Show that the function u(x) = 3(1-2/|x|) is harmonic in Ω whenever Ω does not contain 0.

A: To show that a function u(x) is harmonic, need to demonstrate that it satisfies the Laplace…

Q: Use the graph of the function f shown to estimate the function value f(-1.5). Find the function…

A: The idea is to look at the graph and then give the value of the function

Q: Try it Now 3 An investment called a Certificate of Deposit is currently earning 4.2% year. How many…

A: The objective of this question is to find out how many years it will take for an initial investment…

Q: 3η2 + 4. n 1 Σ(5)

A: Given series is

Q: 2 Find explicit formula ao = 1, 9₁ = 2, an = an-₁ + 2 an-2, ti untumemial meth

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Q: Consider the function f(x) = 4x − x² and the point P(1, 3) on the graph of f. (a) Graph fand the…

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Q: Verification For each differential equation, verify by differen. tiation and substitution that the…

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Q: a. Find Cx D b. Find D x C c. Verify Card (C x D) = Card (D x C) d. Find C-D and D - C and verify…

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Q: Consider the following linear program. (b) -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤18 A, B≥ 0 (a) Write the…

A: The objective of the question is to write the given linear program in standard form, solve it using…

Q: a. Carco manufactures cars and trucks. Each car contributes 300 USD to profit, and each truck…

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Q: (c) Find A30:50 with μ = 0.025 throughout for the life aged = 0.055 throughout for the life aged 50…

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Q: Find all solutions y(x) = Σanx+r, with ao # 0, of the Bessel x²y" + xy + (x² − a²) y=0, x>0, where a…

A: The objective of the question is to find all solutions of the Bessel equation using the Frobenius…

Q: QI calculatet the Founier of function: Acos Wot - t₁ ≤t≤t, all other t { f(t) =

A: Q1 : Given function is Then using definition of fourier transform ,…

Q: Solve the following system of equations by using an inverse matrix. If the system cannot be solved…

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Q: 7. 8. For the function f(x) = − sin(2x) + 3, the amplitude of the function is: a) 1 b) -1 c) 3 (x) +…

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Q: Find the area of the plane x−2y+5z=13 cut out by the cylinder x^2+y^2=9

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Q: What is the resulting differential equation after the initial substitution from the appropriate 2nd…

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Q: 6.8 Consider the following function ƒ : R² → R: 1 2 T f(x) = x x + x 3 +6. a. Find the gradient and…

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Q: Q8: Verify Stokes's Theorem f(x) ds = ff. dr for f = yî+j+xk and the paraboloid for the the surface,…

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Q: Simplify -(n-(-q^n)) to n^q 1. Select a law from the right to apply -(n→(¬qan)) Distributive (аль)…

A: We solve the given Boolean expression by using laws given in the table.

Q: A 12-oz can of soda pop costs eighty-nine cents. A 2.00 L bottle of the same variety of soda pop…

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Q: Use the Gram-Schmidt process to produce an orthogonal basis for the column space of matrix A. An…

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Q: Section 2: Find the following limits. (4) lim X-0 2 arcsin x 5x

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Q: Compute the determinant of the following matrix: A = 6 5 1 -2 4 3 1 –4 2 1 6 2 (Show all your work.)…

A: Introduction:  A square matrix that is not invertible is called singular or degenerate. A square…

Q: 6- Evaluate the integrals: e f(sec(x) + 4cos (x))²dx f. fx. sin (1) dx 5x-7 dx g- h- - S x²-3x+2 2+1…

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Q: A matrix A with the property A² = A is called idempotent. Find all possible values of the…

A: Given a matrix A with  the property A2 = A is called idempotent.To find all possible values of the…

Q: The force of interest at time t is given by: 0 st < 10 10 ≤ t < 12 t≥ 12 Determine expressions for…

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Q: xy" + 2y' + x = 0

A: a. Reducible to first order. This differential equation can be solved by reducing it to first order.…

Q: Solve the initial value problem (4y - cosy). dy dx - 3x² = 0, - y(0) = 0

A: Given that the differential equation is                              To find the solution of the…

Q: Is it possible to find a basis e1, e2, e3, such that the matrix of A is a diagonal matrix with…

A: The matrix The characteristic equation|A−λI|=0Sum of the diagonal elements=4The…

Q: @ܐ X +2)4 dx

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Q: Compute each of the following limits and determine the corresponding rate of convergence in the form…

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Q: Answer the next question (b)

A: A population of bacteria is currently 2.5 million and increasing by 85% per hour.To find out when…

Q: Show that the following explicit solutions satisfy the ODE. Then, determine the unique solution to…

A: We have to show that the following solutions satisfy the ODE. Also we have to determine the unique…

Q: H3. Determine the number of positive integer factors of 2000,037,600 ?

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