the language of mathematics is precise because?

Q: The payment on a 15 year loan at 9.36% compounded weekly is $180.00. Calculate the amount of the…

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Q: Graph each piecewise function. S 2, if x 1 a) f(x) = S - 2x, if x 0 b) f(x) = S \x\, if x -2 c)…

A: Ip

Q: Consider the following functions. f,(x) = cos(2x), f,(x) = 1, f(x) = cos²(x) g(x) = c,f,(x) + c,(x)…

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Q: Suppose g is a primitive root mod p (with p an odd prime) such that g^p-1 =/ 1 mod p+ Prove g must…

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Q: Construct proofs to show that the following symbolic arguments are valid.  Commas mark the breaks…

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Q: 10. If Lu 8. and Lvz are Lorentz matrices, show that the product Ly, Lvz is a Lorentz matrix Lvs…

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Q: Compute the partial derivatives shown for the given function. 5 f(x, у) * + ; find fy, fy and fyy ху…

A: Introduction: Assume we have a function f(x, y) that is dependent on two variables x and y that are…

Q: 3. A spring mass system with friction has mass m = 2kg, friction constant a = 4 kg/sec, and Hooke's…

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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Q: 1. A power series is a series of the form and cn's are where x is a 2. The power series can be…

A: Please check the next step for detailed answer, as per company. Guidelines, we shall answer first…

Q: The graph ef R)-3-4- a arabola that opens with its venes at , -( and R4) I value af Need Help?

A: The given parabola is fx=3x-42-9

Q: Find the general solution of the given higher-order differential equation. du, d'u 2u 0 %3D dt3 dt?…

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Q: 8. Let f : R → R be uniformly continuous on R and if fn(x) = f(x + ) for x E R, show that (fn)…

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Q: Consider the function f(x) = In(1+x). (a) Find the first five nonzero terms of the Maclaurin series.…

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Q: Find the inverse of laplace, f(t) if: 4s + 12 7. F(s) || (s – 1)(s – 3)3

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Q: Your investment account pays 3% interest. If you deposit $10 a day how much will you have after 5…

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Q: The Questions Question 4. The function f(t) is defined by (t- 2, 0<t<1 f(t) = 4, 1<t<5. Let f (t)…

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Q: Provide NEAT and COMPLETE solutions for the following problems. 5. Let n be a positive integer.…

A: We have to prove that 4 divides 5n-1, for any positive integer n ; by using mathematical induction.

Q: 3. Reduce each fraction to its lowest terms. If it is already in lowest terms, writé "not possible".…

A: To reduce each fraction to it's lowest terms.

Q: nsider the following. (If an answer does not exist, enter DNE.) f(e) = 2 cos(e) + cos?(e), oses 27 )…

A: To analize the given function.

Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D

A: We have to sketch and identify the given equation.

Q: Let [o 0 0 1] 0 0 0 0 1 0 0 0 0] 0 0 |0 0 0 0 [4 0 1 1 1 -1 1 -1 1 -1 -1 1 A = 0 2 1 1 (1/2) 1 -1 |0…

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Q: Let W be the set of all vectors of the form Г4т — 58 — 3t] r – 3s + 4t 3r + 2s + t 4s – 3r with r, s…

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Q: Let f(x) = tanx. The Maclaurin series of f(x) is E=0 (-1)" -1 x2n + 1. 2n+1 With this, approximate…

A: We have to approximate the value of x arctan(x). Where x = 1/2.

Q: Q/ Use the Piting method for the table blow:- 3. 4. 12 27 48 Find numerically the Fit equation. by…

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Q: The Mega Millions lottery is available in multiple states including New Jersey. A Mega Millions…

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Q: Logistic population model is given by d P/dt = 10 P (0.2 – P/5000). Analyze and show how this model…

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Q: Find the inverse of laplace, f(t) if: 8s2 + 12 12. F(s) = (s – 2)²(s² – 6s + 10) -

A: The given problem is to find the inverse Laplace transform of the given function F(s). Given…

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* -x has a critical number…

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Q: 2 kQ

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Q: List all the elements of the cyclic subgroup of U(15) generated by 8. 2. Which of the following…

A: We have to find the all elements of cyclic subgroup of U(15) generated by 8.

Q: Find a solution to the SDE dX; = X,(ydX; + tdt), where y ER is a constant and Xo = 1.

A: The given equation is dXt=XtγdXt+tdt. The given initial condition is X0=1. The integration formula…

Q: Extra Credit. 13. Evaluate dx 1+x

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Q: Please help me find the sum or divergence with telescope methods

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Q: 3. Find the first 3 terms of the Maclaurin Series for f(x) = sin²x. %3D

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Q: Slve using Laplace Transforms: y(0)=0, yCo)= | ニ

A: The given initial value problem is                                         y''-2y'+2y=e-t , y(0)=0,…

Q: R(x.y) = 25x + 65y +0.07xy – 0.02x2-0.01y², C(x.y)=3x +2y + 200 e the first order partial derivative…

A: P=R-C   P(x,y)=R(x,y)-C(x,y) P(x,y)=25x+65y+0.07xy-0.02x2-0.01y2-(3x+2y+200)…

Q: Find the solution of the differential equation x In x = y(1+ /3 + y2 )y' that satisfies the initial…

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Q: 1. Compute (with explanations) the probability that a poker hand contains: (a) (exactly) one pair…

A: In part (a) we calculate sample space for exactly one pair and then calculate the required…

Q: (1) Show that planes perpendicular to the r-axis have equations of the formr=a sec 0 in cylindrical…

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Q: Question 2 ren the iterated double integral SL el+v*dydx. a) I Vrite the region of integration R. b)…

A: We will find region of integral . Sketch the region and then reverse order of integral

Q: For the vector fleld G = (ye" + 3 cos(3r + y))i + (re + cos(3a + y)) j, tind the line integral of G…

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Q: Let S be the set of integers and H be the set of all odd integers. Then the subset H of S is closed…

A: We have to check the following statements are true or false : (i) If S is the set of all the…

Q: Suppose that S = {v} is a linearly dependent set. What is v?

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Q: Allen Electronics manufactures two types of computers- desktops and laptops. The production of a…

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Q: Determine the inverse Laplace transform of the function below. 10 s2 +9 Click here to view the table…

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Q: Find the inverse of laplace, f(t) if: 2s2 + 8 3. F(s) : ș3 – 7s2 + 14s - 8

A: Factorize the denominator of the given fraction.…

Q: 3. Let {: (0 <x < 1) (1< x < 2) f(x) = 2x; i) Is the function f(x) continuous on [0, 2]? Explain (a…

A: We have to check whether derivative exist or not.

Q: Find the Maclaurin series for the function below by altering a known power series appropriately. 4+…

A: We have to find the maclaurin series for f(x).

Q: Find a basis of the subspace ofRª defined by the equation 7x1+9x2+ 6x3 + 5x4 = 0. Basis:

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