Given  ƒ(x)=  -4x-1/3x-2 Solve its inverse Determine the asymptotes Sketch the graph of its inverse Find the domain and range of its inverse

Q: 7. The pair of equations dx dt dy dt -5x + 2xy -4y + 3xy models two coexisting species with…

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Q: a) Determine the domain of the function and write it in interval notation b) Determine the…

A: We know that, if we draw the graph of an odd function then it has rotational symmetry with respect…

Q: c) Use Euler's method to obtain a four-decimal approximation for y(1) by using h = 0.25, and…

A: Please find the attached answer

Q: Let x, y, and z be integers. If zly and ylz, then ra

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Q: Prove that for all values of λ and u, the planes + 5y 4z ² - 5 + μ ( 5/²2 +4² + 3) = 0 b C 2x y 2z…

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Q: Consider, -5 y=e5 xy², dy dx a) Find an appropriate substitution and turn it into the linear…

A: Given dydx-5y=e5xy2                …………………1

Q: .s) Prove that k = n kn (a) fel(k-n)wot dt = ST = to +00 (b) If x(t) = Σake/kwot and T = 2π ; then…

A: Assuming the series is term by term  integrable

Q: Let a plane ax + by + cz + 1 = 0, where a, b and c are parameters, make an angle 60 x=y=z, 45° with…

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Q: Find the general solution to the homogeneous differential equation where double derivative -…

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Q: e. lim_f(x) lim f(x) i. f(1) 2 2 b. lim f(x) f. N j. lim_f(x) lim f(x) 2 2 m. Write the equations…

A: Since you have asked a question with multiple sub parts , we will solve the first three sub parts…

Q: for x Q, 0, for x EQ. Prove that f is integrable on every bounded interval I and f(x) = [f f = X(I).

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Q: Take the Laplace transform of the following initial value problem and solve for Y(s) = L{y(t)}: y" +…

A: please find the attached answer

Q: Problem 5 Compute the Fourier Transform of the following signal. Also draw the time and frequency…

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Q: A square matrix is half-magic if the sum of the numbers in each row and column is the same. Find a…

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Q: 6. Let B Rnxn be an arbitrary matrix. Our goal is to prove that there exists a positive integer k…

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Q: B) Evaluate the following limit or show that it does not exist: 7xy lim (x,y)→(0,0) 3x² + 5y²

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Q: = Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the…

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Q: What are the benefits of a place-value system in numeration?

A: place-value systems make it easier for people to do arithmetic they also help computers perform…

Q: 6. Use Fermat's method to find a) the slope of the general tangent to the f(x) = x² − 6x +11, b) the…

A: Using Fermat's formula

Q: 3. Someone selects five arbitrary points in the interior of an equilateral triangle of side 1 cm.…

A: Look at the below image

Q: Ray wishes to determine the optimal order quantity for its best- selling bike in his bike store. Ray…

A: Average daily demand(d) = 31 units Store Annual working days W = 254 Annual demand (D) =d*W = 31*254…

Q: dy dz = 1+ 2z-y, y(0) = 1. (a) Use the Euler's method to find the approximation of y(2) with the…

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Q: 1. Write down the first five terms of the following sequences given the respective nh [(-1)") (1)…

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Q: 2k (4) Let E= R and fn = XAn, where An = [22] with 0<j ≤ 2 and j+2k = n. Compute f fn in terms of k…

A: Please find the attached solution

Q: K 1 Perform the row operation R₁ and replace R, on the following matrix. 8 8 0 0 40 0805 0045 800 40…

A: Row transformations of the matrix

Q: √√√x e-√x dx

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Q: Question 2 a) Lus] Let 3-4 5 B-2 4-1 00 S be a nonsingular matrix. Then find the values of s using…

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Q: For any integer z, if 3 divides z2, then 3 also divides z.

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Q: Consider the differential equation -4y" + 5y" - 5y' − 3y = 0 with y(0) = -3, y'(0) = 3, y'(0) = 2.…

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Q: Determine if the following sequence is monotonic and/or bounded. {√√n=² ²n + 1² n=1

A: Sequence, monotonic and bounded

Q: The value of a diamond bracelet depreciates at a value of 20% per year (in other words, the value of…

A: To solve this problem, first we have to determine an equation that connects the actual value of the…

Q: Use substitution to solve the system. 7x+9y = -24 4x - y = 17 Select the correct choice below and,…

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Q: Given the differential equation: y (4)-2y"+y=xe* Choose All Correct Answers Below A B A patrticular…

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Q: prove that the sum of four consecutive integers is even.

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Q: 4. Find parameters a such that zero solution of the following system is asymptotically stable. * =…

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Q: In the figure above, if - what is the value of r? r=

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Q: K Use the indicated row operation to transform Interchange R₁ and R3. The transformed matrix is 9-3…

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Q: Let F denote the kth number in the Fibonacci sequence. (a) Prove that F2+1 − F²? = Fk−1Fk-2 - (b)…

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Q: how to find number of terms(n) when T1=15, D=3 and sum equals 870

A: The given problem is to find the number of terms when first term T1=15 and common difference d=3 and…

Q: 6. Consider the sequence defined recursively by 1 2 an+1 = an + N an If ao = 1, does the sequence…

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Q: 5. Let G be a group. (a) Prove that Inn(G) is a subgroup of Aut (G) (b) Prove that for any € Aut(G)…

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Q: Consider, dy -7y=e7 xy², dx a) Find an appropriate substitution and turn it into the linear equation…

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Q: Find the inverse, if it exists, for the given matrix. 4 Find the inverse. Select the correct choice…

A: Determinant is 7*7-4*3= 49-12= 37 , which is not equal to zero  Therefore the inverse exists.

Q: using Gaussian Elimination Method ch²x dx 7. Find the determinant 5w+ 6x - 5y + 11z = 7 = (ac- | 10w…

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Q: Question 1 differential equation Consider the following 1 dy x² dx 2 + · y = x3 x5e-3x y-4

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Q: 1. Recall the definition of injection, surjection, and bijection given in Chapter 10. Establish…

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Q: Let d be the last digit of the numeral m=7348632190d. Use divisibility rules to determine what are…

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Q: 1. Use the principle of mathematical induction to prove that 1 +r+r² + ³ + ... + pn = 11 pn+1 - r-1

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 3y' = 8(t - 1), y(0) = 0,…

A: Given,       y''+3y'=δt-1,  y(0)=0, y'(0)=1.

Q: i dont understand

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