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Q: 8. A 200 mg dose of a drug is given to a patient every 12 hours. After 12 hours (right before the…

A: Given that,A 200 mg dose of a drug is given to a patient every 12 hours.After 12 hours, only 30% of…

Q: he curve y = X fc (vî (yi

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Q: 1. Solve by D operator method d?y 2y +y = x²e3x dy dx2 dx Solve by method of variation of parameter…

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Q: Verify that the functions f1(x) = 1, f2(x) = sin x, and f3(x) = cos x are orthogonal in [−π, π], and…

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Q: f(x, y) = y(e* – 1) local maximum value(s) local minimum value(s) saddle point(s) (x, y) = %3D

A: Given function is f(x, y) = y(ex-1)

Q: 2. What can you infer from the axioms and illustrations of the three-line and four-line geometries

A: Sol

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

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Q: 6. Which is is true for any set S of real numbers? * S has a least upper bound. S has a greatest…

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Q: Identify the correct truth table that represents the compound proposition (p -g)v(-p-r)* P-r (p-…

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim 0 sin 2 -16 2. lim 4 (V+5)-3

A: 1. Here limx→07xsin 2x is of 00 form, so by applying L. hospital rule, we get limx→07xsin 2x =…

Q: 1. Solve by D operator method dx2 d?y 20 +y = x²e3x dy dx

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Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

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Q: Systems of first and second order differential equations, use phase flow, initial conditions,…

A: Given: The dynamical system, x˙=y y˙=sinx+y   To add: A term to the x˙ equation so that the…

Q: (x – 2)² – In x = 0, [1,2]

A: The given equation is x-22-ln x=0 the formula for the secant method is given by…

Q: 9. Which is true for a nonempty subset S of R? * If S is nonempty and sup S exists, then S is…

A: We want to find true option.

Q: x3 – 2x? – 5 = 0, [1,4]

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x3/2 from (0, 0) to (4, 8)

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Q: If the determinant of a 5 x 5 matrix A is det(A) = 8, and the matrix D is obtained from A by adding…

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Q: 1. Solve by D operator method d?y 2y+y = x²e3x dy dx2 dx Sol

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Q: r= a(1 – cos 0) is called a The cardioid has equation (x² +y² + ax)* = a°(x? + y*) %3D

A: This is a problem of curve tracing in polar form.

Q: Verify Green's Theorem by evaluating both integrals y2 dx + x2 dy = dA ду ax for the given path. C:…

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Q: You are purchasing a new car for $27,600.  The dealership offers you three options: 0% financing: 0…

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Q: d) Determine the form of a particular solution of y() + 9y" = 1- 8 sin 3x Do NOT SOLVE for the…

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Q: What is the region of the solid generated by the graphs of a = y – 4y and a = -y ?

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Q: dx dx 3. Solve the Cauchy-Euler equation x 4. Evaluate L (sin t - cos t)². 2. dy + 4x dx + 2y = e*.…

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Q: How many terms of the series (-1)" 1 + 2" n=1 are needed to compute the sum of the series with an…

A: To find the number of term such that the error is less than 0.001 .

Q: producf inner Give the definition of the complex space.

A: In this question we have to give the definition of complex inner product space.

Q: Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. %3D (a) Find all point(s) of…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then area of the region…

Q: what is the symmetric difference ? And give examples

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Q: model of consumption/saving decisions, with house- hold lifetime utility given by U = In(c1) +…

A: Sol

Q: ions Ž(1-) sin(nx) n=1 verges pointwise on the closed interval [v,n-v], and if so, whether the…

A: Sol

Q: Assessment 3 Directions: Decide whether each of the following is a proposition or not a proposition.…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: I Example 4.13. Using Jacobi's method, find all the eigen values and the eigen vectors of the matrix…

A: Here, We need to use the Jacobi method. Please find step by step solution below:

Q: dx2 dx 4. Evaluate L(sint - cost)?.

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Q: (a) Determine the points where C has a horizontal or a vertical tangent line. (b) Find the concavity…

A: This is a question from Application of calculus.

Q: Find the area of the shaded region. The image is not to scale. y=F y=- Consider c=64. Enter the…

A: Given that,An area is covered by the equationsy=x, x=C, y=-1CxWe have, C=64Substituting C=64, we…

Q: what is the vertex cover And give examples

A: We have to define the Vertex cover  and example.

Q: An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to…

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Q: I. Solve the following. A. If U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}, A = {1,2,3,4,5,6,8,10}, B =…

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Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: 13 14 6 8 -1 13 2 5 16 11 9 Example 4.4. Using the partition method, find the inverse of A = 7 3 9.

A: We need to use partition method to find an inverse of matrix A.

Q: x' = -3x + 2y, y' = -3x + 4y; x (0) = 0, y(0) = 2 %3D %3D

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Q: Find the area of the region inside: r 8 sin 0 but outside: r = 1

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Q: Write -4 + 3i in polar form

A: Polar form of the complex number

Q: T(E,)n T(E) = {0} and T(E,) + T,(E,) = F. %3D Show that T(E,) and T2(E2) are closed subspaces, i.e.…

A: Sol

Q: What is the rate compounded semi-annually that results in P625 accumulating to P1100 in 42 months?*…

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Q: Example 6.10. Assuming that the following values of y belong to a polynomial of degree 4, compute…

A: Please find step by step solution below:

Q: Solve the following ODE by the Taylor series method including the fourth 0.0 to 10.0 at intervals of…

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Q: 12 u1 = V10 and W = Span{u} . Let y = V10 a. Let U be the 2x1 matrix whose only column is u,.…

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Q: Match the vector field with its graph. F(x, y) = yi y 5 -5- 5 -5+

A: To match the vector field with its graph :-