2 5. Bob gave of his pencils to Barbara, then he gave of the remaining pencils to Bonnie. If he ended 5 3 up with ten pencils for himself, with how many did he start? 1 5 6. When 6 gallons of gasoline are put into a car's tank, the indicator goes from of a tank to . What is the total capacity of the gasoline tank? 4 8°

Q: I Example 10.24. If = dy 2eły, y(0) = 2, find y(4) using Adams predictor corrector for- dx mula by…

A: here we need to use Adams predictor-corrector method and Euler's modified formula.

Q: nduce Such that induced cosinte Sind l Meatric SPaces toplogey. write meatric Spaces Such that…

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Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abdx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Simpson's 38 rule:…

Q: Consider this circuit. If x 1 and z 1, what is the output? Y. W

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Q: Let P2 be the vector space of polynomials of degree 2 or less. Consider the following two ordered…

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Q: H.W: Evaluate the integral 3 0 0 1 1. Jaży – 2xy)dydx 2. (x + y + 1)dxdy 0 -2 -1 -1

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Q: What is true about alternate interior angles? They have equal angles. O Their angles sum up to 360…

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Q: (5) Fourier series techniques to prove the existence of solutions to the heat equation with…

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Q: 18 Compounded continuously formula: A = Pert $50,000 is compounded continuously at interest rate of…

A: Compounded continuously formula

Q: Solve this Solutions of Linear Equations using Cramer's Rule x1 - x2 + 3x3 - 2x4 = 1 -2x1 +…

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Q: 6 Use long division to divide. a) (x³ – x² + 2x – 8) ÷ (x – 2) b) (æª – 4.x² + 6) ÷ (x² – 1) -

A: Solution

Q: Solve the initial value problem from t = 0 to 2 when y(0) = 1. dy = yt³ – 1.5y dt Using the methods:…

A: The initial value problem from t = 0 to 2 when y(0) = 1. Solving using Analytically and fourth order…

Q: Calculate x + y, [Image 19 ) 9. 12 O 15 O Cannot be determined O 13 O 11 O 17 O 16 o o o o oa

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Q: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

A: Let us consider the function f(x) in the interval [-L,L] The Fourier series of the function  is…

Q: Question 5. GT and G(T) in each case. Let S = {1,2,3, 4} and G = S4. Write all of the elements of…

A: The given set is S=1,2,3,4. It is also given that G=s4. We have to find the element of GT and GT…

Q: The position xft) of an object of mass m that is attached to a vertical spring with restitution…

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Q: Question 4 The well-known Fibonacci Sequence Fo, F1, F2, ... is generated by the relation Fk = F1 +…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: 9. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?

A: Given: A class consists of 32 girls and 18 boys.

Q: Consider the following two ordered bases of R³: {(-2, –1, 1), (2, 2, –1), (3, 3, –2)}, {(-2, 1, 1),…

A: The given bases are:…

Q: You are given a cylinder S in R3 with equation x = z2 + 2. Let C be the curve in the xz-plane whose…

A: We will use the basic knowledge of geometry in 2-D and 3-D to answer this question. We will also use…

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Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y = x - y in…

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Q: Determine whether the given equation is separable, linear, neither, or both. dx - 5xt = 2 e* dt --…

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Q: Use Maxima to plot the parabola given by y = x² – 3x + 7 and the circle x² + y? – 4x – 20y + 80 = 0…

A: Consider the given equation of the parabola, y=x2-3x+7 the vertex is at 5,4.75 and at x=0, y=7.…

Q: Given angle PSR is 90 degrees, calculate the sum of x and angle QSR in degrees. [Image 12 1 28 T R.…

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Q: 14. Solve the differential equations: (a) y - 4x' + 2x +5 , where 0)-10 ; (b) y - 3x + xy , where 0)…

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Q: The position of a weight attached to a spring is s(t) = - 4 cos 4xt inches after t seconds. C a)…

A: The amplitude of a periodic function is the distance between the center line and the peak (or…

Q: b) 2f(x) 10. For the following functions, identify all asymptotes. (Vertical asymptotes and…

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Q: Directions: Determine whether each of the following propositions is a tautology, a contradiction, or…

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Q: Solve: *+rtand cos 0

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Q: O find othonormal bases: O x-2y-32 =0 W x+y+ 27=0

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Q: Calculate a - b c in degrees. [Image 17 ] 30° O 120 O 180 O 210 O -120 O 60 O -60 oooo oo

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Q: Consider the following. 1 0 1 -3 A = 0 1 P = 0 4 4 -2 1 1 2 (a) Verify that A is diagonalizable by…

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Q: 10 Verify that given factors of f(x) and write complete factorization of f(x). a) f(x) = 5x³ – 6x² –…

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Q: Example 11.10. Solve the boundary value problem u, = u, under the conditions u(0, t) = u(1, t) = 0…

A: Please find step by step solution of given boundary value problem below:

Q: Solve: dr = b (cos 0 dr + r sin 6 de)

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Q: F(1, y, 2) = (2c" cos(3y), –3e²" sin(3y) + VV:). a. Find divF(x, Y, 2) and curlF(x, y, z). b. Based…

A: This is a problem of multi-variable calculus.

Q: 25. A number is drawn at random from the set {1, 2, 3, .., 40}. Find the probability that the number…

A: Given: the set 1, 2, 3, …, 40.

Q: b= %3D 2

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Q: Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: Solve the initial value problem for the heat equation with time-dependent sources au = k+ Q(x, t) at…

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Q: SHOW COMPLETE SOLUTION. THANK YOU! Using Newton Method : y = x - cos(x) on [0.0 , 4.0] for eps =…

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Q: frunction Vercaty the u Cmiy) = verity the eelen's thertem Lore

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Q: 13 in 12 in 9 in CamScanner 5 in

A: To find the surface area of the given triangular prism :-

Q: If A Supset of B then int(A)Supset of int(B)

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Q: 4. Find a particular solution of y" + y' = cost cos 2t cos 3t.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let C1 be the line segment from (1,0,1) to (0,3,6). Evaluate dx + dy + dz. C1

A: Solution :-

Q: Q3/Solve the differential equation 2dy + 5 = e2xsinx )

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) 2. f(t) = v1+ sin t + (7t)14 + t² sin 2t…

A: According to rule of bartleby we can solve only 1st question if you require rest of others then…