Shown above is a slope field for which of the following differential equations? dydx =x/y the derivative of y with respect to x, equals, the fraction x over y dydx =−x/y the derivative of y with respect to x, equals, negative, the fraction x over y dydx =xy the derivative of y with respect to x, equals, x y dydx =−xy

Q: Solve the initial-value problem using Laplace Transforms. x'' + x = e^-t sin2t;   x(0) = 2, x'(0) =…

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Q: Find the average distance from a point P(x, v) in the first two quadrants of the disk x2 + v s25 to…

A: Given: We have given point first two quadrant of disc   x2+y2≤25 and origin. We need to calculate…

Q: f = (7 3)(14 85 37 6) g = (5 8 26143) Write each of the following permutations as a product of…

A: f = (7 3)(1 4 8 5 3 7 6)  g = (5 8 2 6 1 4 3)  (a) fg= (7 3)(1 4 8 5 3 7 6)(5 8 2 6 1 4 3)…

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Q: Question 7. Using induction prove that 13 + 23 +... + n³ = + u)u for n > 1.

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Q: what is the closed neighborhood ? And give examples

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Q: Determine if the Find the transformation às loncar. gien image ot C62,3) ī (xiyız)-(x+2y, 3z -x) of…

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Q: Find the area of the region enclosed by y 3.5x and I 8 - y. 2 7 Use horizontal strips to find the…

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Q: 0 0 16 11 1 1 1 1 %3D 11 1 1 1. Given the matrix A, find the determinant, adjoint and inverse.…

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Q: Consider the third order Cauchy-Euler equation at³y" +bl²y/" +cty/ + dy = 0. (a) Use a change of…

A: (a) The given differential equation is at3y'''+bt2y''+cty'+dy=0.........(1)

Q: <)=) k=0 x²k+1 (2k + 1)! For the x = value of the whose series expansion is given on the side, first…

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Q: 800 N, P: 500 N.

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Q: Determine whether the sequence is convergent or divergent. If it is convergent, find its limit. a)…

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Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: 29. Define a relation D on R as follows: For every ordered pair (r, y) E R x D y + y – x > 5 (a)…

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Q: K 12. Problem 54. Find a number such that if 7 is added to it and the sum multiplied by the root of…

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Q: Question 10 If 2x + 4x2 + 8x³+... then X equals O-7 07 7/- 1/7

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Q: 2. Determine the real ro accurate to 4 decimal

A: 2. Given,            f(x)=tanh(x2-8)

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Q: 4. Let I converges on I to f. Suppose that each derivative f, is continuous on I and that the…

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Q: 1 F(s) = (8 – 1)2 – 2 1 F(s) (s – 1)(s +1)²´ 3s +1 F(s) = (s² -- 2s)²*

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Q: Example :- Salve the hallowing equations:-

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Q: What is mzBCD? C B 98° A 70° 80° A. 82° B. 168° C. 192° O D. 220°

A: To compute m ∠BCD ,we use the following: The sum of the opposite angles of cyclic quadrilateral…

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Q: Let f:R2→R be the function defined by f(x,y)=−(x−4)2−(y−4)2. Consider the region A of R2 given by…

A: here we use the concept of compactness and continuity in ℝ2. Her we need not to find the maximum and…

Q: The logistic function ranges from 0 to 1 and has an 'S' like shape to it. O True O False

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Q: 7. Let V = R3 with B = {(1, 0, 1),(0, 2, 1),(2, 1, O)} and W = P2 with D = {1, x, x- %3D %3D (a)…

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Q: Simpson's 1/3 Rule at x = [0," where n = 4 f(x) = eSin x Simpson's 3/8 Rule at x = [0," where n = 5

A: Solution:

Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: Given: We have given integralI=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: 4965 4 mod 5 4965 = 2 mod 7 4965 = 1 mod 11 Use your answers above to find the canonical…

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Q: Q1: Al Rabie Housewares Company produces goods A, B and C and the profit of Each of the mentioned…

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Q: . Let C be the curve with parametric equations V2 - t? x = 3/2 8 1 t+ 2 where t e [0, +). V2 8 (a)…

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Q: c) n° n° + 2n is a multiple 3 for all n 2 1.

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Q: Both sets below are bases for P,: P = {pj, P2, P3} = {1+r?, 1+21, t + 21²} Q = {q,, 42» 93} = {1+3t…

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Q: A square matrix A is idempotent if A? = A. Let V be the vector space of all 2 × 2 matrices with real…

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Q: 4 Find the singular values of [2 2 %3D 1 -

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Q: Draw the graph of the function. Draw the contour plot of the function. Point out the local ex- creme…

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Q: Question 10 Change the Cartesian integral to an equivalent polar integral, and then evaluate. 15 225…

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Q: Estimate ë to five digits of accuracy by computing the integral of f(x) = 4/1 – x² for x € [0, 1].

A: Given fx=41-x2 and x∈0,1 I=4∫x=011-x2dx

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A: Given  ex≈1+x+x22  over interval  -57,57

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Q: Hw.1. Solve the integral equation g(s) = f(s) + a S,(s + t) g(t)dt

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