Problem 2. Let ƒ (x) = ln (½ + 9) and g(x) = x-7 your answer in interval notation. Find the domain of (fog)(x). Write Jifu each of the

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A: The solution is given as

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A: Sol

Q: Use matrix operations to solve the following system of linear equations. 4x-2y+6z = 8 2x+8y+2z = 4…

A: As you have mentioned  I am solving question number 3. Given system 4x-2y+6z=82x+8y+2z=46x+10y+3z=0…

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Q: Verify that f and g are inverse functions algebraically. f(x) = x²³₁ g(x) = 4x 4 f(g(x)) = g(f(x)) =…

A: Solution:-

Q: 8. A spring has a natural length of 10 cm. It takes 2J to stretch the spring to 15 cm. How much work…

A:

Q: (10) Define the metric d on R² by d( (x₁, y₁), (x2, y2)) = max{ |x₁ − x2\,|y₁ - y2|}. Verify that…

A: The given problem is to verify that the given metric d on R2. Given metric…

Q: 2. Use the geometric power series to find a Maclaurin series for the function - 4x f(x)= Use sigma…

A:

Q: Determine whether the linear system is solvable.

A: The given system is                 x≡4 (mod 6)          x≡2 (mod 8)            x=1 (mod 9)

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A: Sol

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A:

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Q: Obtain linearly independent solutions for each of the following differential equations: 2.3…

A: Solution 2.3: Given differential equation is xy''+y'+x2y=0       (1) Let the solution be, by…

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A: Riemann sum over two different partitions P and Q of a given interval may or may not be same. So it…

Q: 9. Find the mass of a car antenna that is 3 ft long (starting at x = 0) and has a density function…

A: Given that a car antenna is 3 ft long (starting at x=0) and has a density function of ρ(x)=3x+2…

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: Q2// Use Euler's method (with all details) to find approximate value of y when x = 3 of = 2y-2x²-3,…

A: The Given initial value problem is: dydx=2y-2x2-3, y(0)=2, h=0.3 To find: y(3) using Euler's…

Q: If X = [3 314; 0011; 0124] find the mode (x) [0 214] O [0012] O [0013] O [0014] O

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Q: 1. Let $X$ be a discrete random variable with probability mass function $f_{X}$ that is described in…

A: Note that values of x are 0 ,1, 2 ,3  where as the values of y are two 0 and 6

Q: u(0,t) = u(3,t)=0, t≥0 x 0<x<1 u(x,0) = 2-x 1<x<3

A:

Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: We have to discuss how can the unit circle help us find the exact values of trig expressions…

Q: Find and simplify the expression if f(x)=x²-11. f(4x) f(4x) = (Simplify your answer.)

A: Find and simplify the expression if f(x) = x² - 11. f(4x)

Q: c) Let (M, d) be a metric space and let S,T≤ M. Prove that SOT = ST. But SOT SOT.

A:

Q: Solve the recurrence relation an = 4an-1 + 5an-2, a₁ = 2, a₂ = 6

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Q: 册 6 a 20 39 + 49 t 好 664 下

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Q: Let n = pq, where p and q are distinct primes such that p = q = 3 (mod 4). Suppose a € Z+ with a <n.…

A: given data, n=pq , where p and q are distinct primes such that p≡q≡3(mod 4). also aϵZ+ with a&lt;n.…

Q: A- for the function below, the domain and the range is respectively y = |x|- 2

A: The solution is given as

Q: Draw a direction field and plot (or sketch) several solutions of the differential equation y' = −y(6…

A: Solution :-

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Q: Solve the IVP: y'' - gy y(0) = 0, y'(0) = 0 {} 6 0 3

A:

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Q: Solve the initial value problem Ә дудх (OH) - ди 4- ду = 0, u(0,y) =2sin y, u(x,0) = x. -

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Q: Find an orthonormal basis [b1,b₂, b3] of spom[3] Lohere B={(1,0,1), (1, 0,-1), (0₂1, 2)}, using the…

A: We Know that,  Gram–Schmidt process is a method for orthonormalizing a set of vectors in an inner…

Q: 4. 2100 +3123 is divided by 11

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Q: Q3// Use Newton-Raphson Method to solve f = -x²+x+0.75 for 5 iteration (choose 4-decimal places)…

A: This is the question from Numerical Analysis.

Q: Let f(x) = x and I = [0, 1]. If P is the partition  P of [0, 1] be given by P = {0, 1/8, 1/4, 1/3,…

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Q: Question) Provider A charges a fixed rate of $18 per month and 6.89c per gas used. Provider B…

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Q: Problem 7. a) Describe the transformation(s) that can be applied to the function g(x) = e* to obtain…

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Q: Solve the Boundary Value Problem yet(x, t)=9yxx(x, t), 00 y(0,1)= y, (3, t) = 0, >0 ye(x,0) = 0,…

A:

Q: Determine the ordinate of the centroid of the area bounded by the curve x^2 =8y and the line 2x-y=0

A: Given curves are x2=8y and 2x−y=0. We have to find the ordinate of the centroid of the area bounded…

Q: B) find the transpose of the matrix A C = 3 2

A:

Q: Q.IA) Express integral I y + x -0,x-1 and y-0,y-1-xto T. of u- dydx in terms of (u)and (v)given…

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Q: solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0 b) (3…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: Using the Buchberger's Criterion, determine whether the following sets -bner bases for the ideal…

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Q: (a) Define Fourier series. The function x is periodic with period 21 on the interval [1,-1]. Find…

A: Fourier series: Fourier series of function fx on the interval -L≤x≤L is defined as   where,…

Q: Prove that the statement 1 + 5 + 9 + ….. + (4n - 3) = n(2n - 1) is true.

A: