The graph of a rational function is shown below. Write the equation that represents this function.

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

A: The solution is given below.

Q: A/ find solution for the differential equation below: Y"" 6Y" + 11Y – 6 = 0

A: Given differential equation is y''' - 6y'' + 11y - 6 = 0

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A: Let y=A(t) here a=0, b=10. h=b-an=10-010=1 h=1

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Q: d) Using the numbers you found for ,A, ,B, and ,k, write the equation for the temperature at any…

A: (d) From part (a) and (b) the value of A=68, B=17.9 and k=0.002564. Substitute A=68, B=17.9 and…

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A: Given: Rate of interest=4% compounded quaterly.

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Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

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Q: male height? 2. What are all the differences from the mean? 3. What is the variance for the femal

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Q: (c ) Find the S(sin q + cotq – e5q+1 + q5) dq 11 2x+5 (d)Using the method of Partial fractions find…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the Lebesgue integral fio.11 f, where f(x) = x. Note: although this can be done by various…

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Q: 2. Determine whether the set of the vectors {V1, V2, V3, V4} are linearly dependent or independent.…

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Q: to de 4

A: For    kx2 - a2  we can use substitution kx = asecθ . Then use trigonometric identity to simplify it…

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Q: Given that y, = -3r²e=3#, y2 = 7x° are solutions of a linear homogeneous equation with constant…

A: Given that y1=-3x2e-3x and y2=7x3 are solutions of a linear homogeneous equation with constant…

Q: Solve Y"' – 6Y" + 11Y – 6 = 0 -

A: Given differential equation is Y''' - 6Y' + 11Y - 6 = 0

Q: QUESTION 7 1. (C > D) (L > M) 2. R (Cv L) 3. R /:Dv M

A: To Show-  1. C ⊃ D ∙ L ⊃ M2. R ⊃ C ∨ L3. R                   /∴ D ∨ M     Rules of Inference Used-…

Q: Find the value of x, y and z using Gaussian Elimination Method: ax + y + z = 1 x + ay + z = 1 x…

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Q: 3. Determine a root from the given equation below using Regula-Falsi method with the terminating…

A: Given that, F(x)=0.004x4-0.02x3-0.7x2+1.8x+13   (1) Iteration 1st: at x=5, f5=4.5>0and at x=6,…

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Q: f: (0, 2) → R defined by: -1 0<x <1 1<x< 2 (a) Sketch the Half-Range cosine series for f f(x) = { 1…

A: Given :        f : 0, 2→ℝ defined by       fx=-1,0≤x≤11,1≤x≤2 (a) To sketch the Half-Range cosine…

Q: 4444 is divided by a 1.19) find the remainder when 4444 * 2?=-1 (mod a).

A: 1.19 We have 4444  ≡  7 (mod 9). So, 44444444 ≡ 7 4444 (mod 9) Now,       73 ≡1 (mod 9) Or,…

Q: 2. Locate the first positive root of f(x) = sinx + cos(1 +x³)- 1 where x is in radians. Use four…

A: (a) We need to find the root between 1 and 3

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Q: Discrete Math: Draw a graph with the following degree sequences. If you can't explain why. Degree…

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Q: t6 11

A: We have to find the general solution of the differential equation x2y''-4xy'+6y=lnx2. It is clear…

Q: E =U E, E; E;= 0, i ± j. Ej, %3D

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Q: Do two steps of the Newton's iteration for solving the system of nonlinear equations: u? + 2uv = 1…

A: Given system of non linear equation is u2+2uv=1(u-1)2+v2=1 with initial guess x0=u0v0=-11 Let…

Q: 1. Prove that ffor every non-gero normed space X there is a non-zero bounded linear fmetional acting…

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Q: 1. Suppose that A is an nxn non-zero, real matrix and 2 is a fixed real number. Let E ={x=R* : AT =…

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Q: Given Ln 4 + ( sin 4 + (i -1)- express the limit as → ∞ as a i 1 f(z)dr. definite integral, that is…

A: Given:Ln  = 1 n ∑i=1n(4+(i-1)1n5 sin(4+(i-1)1n

Q: f (x, y) = 3x? + y + 4xy + 8 af(1,y) What is the value of when x = 3 and y = 3? da

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Q: f (x, y) = 3x2 + y + 4xy? + 8 %3D What is the value of af(z,y) when x = 2 and y = 1? %3D fip

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