A hamster receives a dose of 3 mg. of a compound and then 2/3 as much as the previous dose at the end of every hour. What is the maximum amount of the compound it will receive?   (Solve using Differential Equations

Q: Q3/ The dimensions of a rectangular solid at a given instant (t) are: L(t)= 13 cm. Wit) =9 cm.…

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Q: 3 Só ( x + ²/1 ) ³ ax dx X

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Q: f(t) = 1; 0 2

A: Given: Function  f(t)=1      0<t<2f(t)=t         t>0 To find: Laplace transform of a given…

Q: Q.5. D.] find the Cartesian equation of the plane r(u, v) (u,v + 2,3u-2v), -1≤u≤2 and -2≤0≤3

A: To find the cartesian equation of the plane from a given parametric equation, we need to eliminate…

Q: X (3+x) 1-x (2-x 4+x) 2 -10 5 -X ܝ 48

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Q: f(t) = {b 0<t<3 otherwise

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Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

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Q: fø(z)= y + ja represents the complex potential for an electric field and x x = 2² + + (x+y)(x−y),…

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Q: 4y Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of…

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Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: etermine the Fourier integral representation of the given func f(t) = {t 0<t<3 otherwise

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Q: Let R be the region below enclosed by the curves z = 2-y², y = −sin (7), and x = -1, as shown below.…

A: Using the Washer method (To set up only integral), to find the volume of the solid generated when…

Q: olve the differential equation y'(t) - 2y(t) = e2t; y(0) = 1.3. Vhat is the value when t = 1.20?…

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Q: Q4: (A) Prove or disprove each of the following 1. Every prime ideal is maximal. 3. The cancellation…

A: Each and every option is false. We disprove them by giving appropriate counter examples. The…

Q: Solve for x: | cosx-2 sin 2x-cos 3x|=1-2 sin x-cos 2x

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Q: Solve the following system using the Newton-Raphson method for one iteration, given that…

A: To solve a pair of non-linear equation one method is Newton Raphson method. In this method a pair of…

Q: . Find the Inverse of the following using GAUSS-JORDAN METHOD. 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: Here the given matrix is                                         1-1   0   0-1   2-1   0    0-1…

Q: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

A: Please see the attachment

Q: a e d b C

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Q: A conical funnel is formed by rotating the curve y = 1/3 x about the y-axis. The radius of the rim…

A: We have to given the curve y = 1/3 x about the y-axis. The radius of the rim of the funnel is to 6…

Q: sketch the surface 2² 16 11 -1

A: Given:x29+y24-z216 = -1

Q: 4: prove that Let R be a commutative ring with identity and I be a maximal ideal of R. Then the…

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Q: det (A) I I The following form cof(A) A = A-1 D O *¹ adj(A) A a O e. All incorrect O

A: cof(A)T (1/ detA) = A-1  ⇒cof(A)T A = (detA) A-1A (as, detA is scalar) ⇒cof(A)T A = (detA) I , where…

Q: 4. To lease a new car worth $19995, a customer agrees to pay a $3000 down payment and 48 monthly…

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Q: - Let R=(Z9,+9,9). Find 1. Char(R) 2. Nilpotent ideals of R 3. Prime ideals of R.

A: Solution

Q: Use the Euler method to solve the following equation analytically for .five iterations. Given that…

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Q: - 2x²) y" + 6xy' + 2y = 0

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Q: 3. In the last homework assignment, you computed the volume of the solid obtained by rotating the…

A: We will use the basic knowledge of integral calculus to answer this question correctly and…

Q: Examine the continuity of f(z) = 2-√z+4 Z at z = 0

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Q: Find the equation of the line if it passes through the points: (5,-1) and (3,2)

A: Solution

Q: 1. The lateral area of a right cylindrical tank is 487 m² and its volume is 727 m³. Find the…

A: (1) Lateral surface of a cylinder with height h and base radius r is  S=2πrh Volume of the same…

Q: 2 2 ď 1¹ [²³²375] = 0²³² +² t (8-373

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Q: Q6) Find the approximate value of A and B in ya = x(1-x)(A + Bx) where y + x² = 0 and y(0) = y(1) =…

A: Given differential equation with condition is y''+x2=0, y(0)=y(1)=0 Given approximate solution is…

Q: 31-40. Suppose that a day's production of 850 manufactured parts contains 50 parts that do not…

A: Solution:- 1)probability that first part is conforming =800/850 ( as there are 800 conforming part…

Q: Persons and Consumption. Calculate the coefficient of correlation between the number of workers (x)…

A: Given: The data values Year 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 x 368 384 385 361…

Q: Q: Define the concept of the ring. Is (Z,+.) a ring? What's about (Z, +,.)?

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Q: Draw a line segment 6 inches long. Subdivide it according to the golden ratio. Verify your work…

A: We have to a draw a line segment 6 inches long and subdivide it according to the golden ratio.…

Q: Determine the Fourier series representation of the given periodic function: f(t)= ft - 1, lt + 1,…

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Q: Find the area A(R) of the region R bounded by y = 2x + 4, y = 2-3x and y=-x.

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Q: Find the Laplace transform of f(t) = t²e7t

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Q: Let L be the line given by the span of complement L of L. A basis for Lis 2 H -7 -7 in R³. Find a…

A: Solution:

Q: Use Newton's Method to make the second approximation x2 to the solution of 2e™ = ex. Take ₁ = 1.

A: According to guidelines I solve first question only so kindly request you to repost the remaining…

Q: (29) π/3 177³- _csc ada π/4

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Q: الموضوع : theorem. Let fixy applied between two tofotofi cat spaces (XTx) and (Y, Tj), then the…

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Q: Set p(t) = COS t 0≤t≤2 To otherwise For -∞ 0 for x = (0,4) (iii) Thus (f* g) * h = 0 whereas f * (g…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, approximate y'(0.2).

A: Given,y'-2y=3e2x ; y(0)=2h=0.1To find: y'(0.2) using Runge -Kutta method

Q: There are 14 fish in a pond: 7 trout, 4 bass, and 3 sardines. If I fish up 5 random fish, what is…

A: Given Total number of fish = 14 Trout = 7 Bass = 4 Sardines = 3

Q: (B) Explain the relationship between each of the following a) Field and integral domain. b) Cyclic…

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Q: 2 2 L²₁ [² ( 6² 37³ -] = 6³² +² e t (8-373

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Q: Determine the value of k if the L[ tkt ] = 1/(s2 - bs + 6.0).

A: Solution