A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 6-key ke Repetition of digits is allowed. What is the probability of a correct guess on the first try? ... The number of possible codes is. (Type an integer or fraction. Simplify your answer.) The probability that the correct code is given on the first try is (Type an integer or fraction. Simplify your answer.)

Q: Find the given inverse Laplace transform. 1 € - ¹3 s² +45+5 a. e²¹ sin(t) b. e-2¹ sin(t) C.…

A:

Q: ƒ is a 27-periodic function with the following Fourier coefficients ao = 0 = a₁ ¼ b₁ = 0 a₂ = -1b₂ =…

A: Given that the coefficient of Fourier series,a0=0a1= 1/3b1=0a2 = b2 =0 = a3 = b3Then series becomes…

Q: • Tt X 2. sin? cos cOS dx 2 2

A: To solve this I have used the Beta Gamma Integrals. Some of the Results which I have used is given…

Q: Solve the given equation.. (3x²y + 2xy+y³)dx + (x² + y²)dy=0

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Q: You want to purchase a new car in 5 years and expect the car to cost $74,000. Your bank offers a…

A: We have to find the monthly investment of $74,000 in 5 years.

Q: If a series circuit has a capacitor of C = 0.4 x 10-6 F and an inductor of L = 0.9 H, find the…

A: Given that, C=0.4×10-6 FL=0.9 H The value of resistance R so that the circuit is critically damped…

Q: 2. Draw a contour map of function f(x, y) = 2x/(x² + y²) showing several level curves.

A: We Know that  The level curves of a function f of two variables are the curves with equations f(x,y)…

Q: 2. Find the first order and second order partial derivatives of f(x,y) =x. Make sure to show your…

A: The given function is Note:-Since you asked parts 6 and 7 for the given problem but here in given…

Q: 3. Solve the following system using LU-decomposition: 2x1 +8x=-2 21-22-2

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform e-s s(s+1) a.…

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Q: 9.2 2 15 5 3 16

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Q: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp…

A: The model for the population is suburb of a city is given by .

Q: Solve the equation y"+y=f(t), y(0)= 0, y'(0) = 1 f(t) = { 1 0<t<π/2 π/2≤t<∞ F(s) = a.…

A: 5.

Q: Let y'=2xy²; y=- 24 16-x²1 y(2)=2 Then by considering y=(x) as a solution of the differential…

A: y'=2xy2 Then y=2416-x2,y2=2

Q: A particular solution of y" +9y=2cos(3x) + 3sin(3x) 1 xsin(3x)-xcos(3x) 2xcos (3x) -—-xsin (3x) xsin…

A:

Q: A 95% confidence interval for the weight of a small package of M&Ms is (47.82, 48.16) grams. Based…

A: Given,95% of confident interval,M&amp;Ms = (47.82 , 48.16).

Q: Find (4t + 1)u(t-1)} e-5(55+4) s² a. b. C. d. O Ob OC Od 3e-s 5² S e $(5s + 1) s² e-5(55-4) 5²

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Q: 63. Determining a Distance If both cars in Exercise 62 are on one side of the plane and if the angle…

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Q: x² 12 2. 5. Co

A: Question: Values of x are given, we have to calculate the values of x2+2.

Q: Give the substitution that converts the given nonlinear equation into a linear equation then solve…

A: is the required transformation that converts the given nonlinear equation into linear equation.

Q: Find all complementary functions of the equation y" + 2y'+y=0 a. cosx,sinx b. ex,ex c. ex.xex d.…

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Q: 4.(-12)

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Q: Find the given inverse Laplace transform. 1 s² +65 +10, 7. b. C e-3tsin(3t) d. sin(t + 3) 0 0 O…

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Q: 1. 4(h + 2)

A: The given expression is:   4(h+2)=0

Q: Solve the equation E) de Vy? – x2 dy = 0 - arcsin in implicit form.

A: Solve the following