How to turn 25.16 into a fraction

Q: Let f: R\{3} → R\{5} be defined by f(x) = 5x/(x-3). Show that f is bijective and find f-¹.

A: Given f:ℝ\{3}→ ℝ\{5} defined by f(x)=5xx-3. We have to show that function is bijective, and we have…

Q: Problem 54: Prove of find a counter example: If there are exactly 2 nodes in G with odd degree there…

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Q: For the game and mixed strategies, find the expected value. 4 5 (1) 5 2 G=(², 1), - ( + ) r = -3 Let…

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Q: (s+2) s(s-3) b) L{tª(3−2e-³t)²} = a) £¯¹ { L c) L-1 = s+5 (S-1)²+9 ? ||

A: First we will do partial fraction decomposition whenever required then use the formula to find…

Q: O f(t)=e-1t (cos(4 t)- 10 sin(4 t))

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Q: 2. Define the function a(n) as follows: n = 1 n = 2 2a(n-1) + a(n − 2) n ≥ 3 5 a(n) = 10 and let…

A: Given that a1=5, a2=10, an=2an-1+an-2, for n≥3 Our aim is to prove that an<3n for n≥3 using the…

Q: Using the divergence theorem, compute the integral of the vector field (x3 + y3, y3 + z3, x3 + z3)…

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Q: You are constructing a 480 cubic feet box. The bottom of the container costs $5 per square foot to…

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Q: None of these Determine whether the set of solution defined by {x² – 1, e²x + 1, x} is linearly…

A: We have to check whether given set of solution is independent or dependent.

Q: Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work,…

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Q: Using Lagrange multipliers, find the maxima and minima of the function f(x,y,z) = yz + xy, which has…

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Q: 7. Given f(x) = - 2log (6 - 2x) + 3 a) Determine the following information; show your calculations.…

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Q: Problem IV Let V be a subspace of R4 spanned by three vectors given below. Find the distance from…

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Q: answers only pls submit asap 7. Vectors

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Q: 64 If y = cos ax, prove that У У1 У г Уз У4 У5 |=0, where y Уб У7 Ув d' dx' у.

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Q: 5. Let ƒ(x,y,z)=2xy²z² − 3xy a) Find the rate of change of ƒ (x, y,z) at P(1, 1, -2) in the…

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Q: 0 1 π/4 arctan(2) 2xsec² (y)dydx

A: We solve the double integration.

Q: express each of the following English sentences in predicate calculus  1. Every white bird likes a…

A: 1. Let us define the following symbols first.        WB(x) : x is a white bird       P(x) : x is a…

Q: Find the volume of the solid bounded above by the sphere x² + y² + z² 9 and below by the cone z =…

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Q: Inverse Laplace transform, 1 (s²+1)(s-3) el Select one: O True cos(t) _ 3sin(t) e3t + 10 10 5

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Q: Let ƒ : R\{1} →→ R\{1} be defined by f(x) = x/(x - 1). Show that ƒ is bijective and find f-¹. Also,…

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Q: (a) COS r = C 2πT — 9 C: + i sin 2πT 9 3 " 0 = #

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Q: 14. Find all units of the ring C(R) = {ƒ : R → Rf is continuous}, where the operations are the usual…

A: A unit is an element which has multiplicative inverse. Using this definition we find the units in…

Q: By using the Cayley-Hamilton Theorem, find e^(At) of the following matrix A = [1 2;-2 -3].

A: Given information Matrix :- A=12-2-3 Find eAt using Cayley-Hamilton Theorem.

Q: A shipping box or paper carton is to have a square base and figure, you can assume that the top and…

A: To find the dim and smallest surface area for the given box.

Q: 4. (a) Let f: X→Y, g: Y→ Z, and h: Y→ Z be functions. Prove or disprove: If gof=hof, then g = h. (b)…

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Q: A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use…

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Q: Expand the following: [X DX, L[y''''] a. L b. L[f"""""]Se

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Q: 9. If this equation represents a real physical system, the, the natural frequency of the system…

A: Given: Second-order differential equation, d2ydt2+6dydt+9y=9xTo find: The natural frequency of the…

Q: 2. The state sales tax in Kansas is 6.5%. If the state tax on a purchased item is $2.38, what is…

A: Answer for this question is $39. The solution is below in the step 2 part.

Q: Given: region R below bounded by the graphs of y = √r, ry = 1, and 3x = 4(y + 1) (1,1) R (2₁) (4,2)…

A: To find  area bounded we will use vertical slice  i.e. area  bounded by y=f(x) with x-axis from x=a…

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. -5…

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Q: $4500 due three months ago but not paid and $2500 due in three months are to be replaced by a…

A: Solution

Q: Determine if F(x, y, z)= yz²i+xz²j+ (2xyz-5)k is a conservative vector field. If it is, find a…

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Q: Given f(x,y)=4+x² − 3xy + y³ . Find all relative extrema and saddle points. Show all steps that…

A: Given: fx,y=4+x3-3xy+y3To find: All the relative extrema and saddle points of the given function.

Q: Write the given system of equations as a matrix equation and solve by using inverses. = k₁ 9x₁ - x2…

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Q: 2x1 -X1 + 3x1 + X2 - X3 = 3 2x3 = -8 X3 = 0)

A: We solve given system of equations by elimination method.

Q: Properties of Functions be funcion Show that f: R → R defined by f(x) = x³ + 1 is bijective. follow

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Q: 13. Let : M₂ (R) → R defined by ( oll c C d)) = c = a + d. Recall that the operation on M₂ (R) is…

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Q: exponent 14. The equation A= 12,000(1.016)* describes the dollar amount of an investment after t…

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Q: (a) From first principles, find To(x), the Taylor series expansion of (1-x)-¹ about x = 0. Include…

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Q: 39 Find the sum of the series sin x + 3 sin 3x +5 sin 5x +...+(2k − 1) sin (2k-1)x

A: The given problem is to find the sum of the given series. Given series…

Q: If L : R6 → R³ is a linear transformation and dim(range L) = 2, then how many vectors are in the the…

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Q: A) Find x{(e-51-7)²} L B)[ Use the definition to evaluate the Laplace Transform of the function 2,…

A: FIRSTLY WE USE AN IDENTITY, a-b2=a2+b2-2ab ⇒e-5t-72=e-5t2+72-14e-5t⇒e-5t-72=e-10t+49-14e-5t AND THE…

Q: A = {x ∈ R | − 4 ≤ x < 1}, B = {x ∈ R|−1 < x ≤ 3}, C = {1, 2, 3, 4} Find each of the following. a.…

A: Here we have to find given intersection of A and B also of A and C and union of A and B , and also…

Q: . Use the summation properties and rules to evaluate each series. (6 points) n(n+1)(2n+1) Summation…

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Q: Question 1. If the Fourier transform of f(t) = {} 3 0<t<2 0 elsewhere is F(w), express the Fourier…

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Q: 43 If y³ - y = 2x, then prove that 2 Hence, show that x² - 1\d²y 27 dx 2 +x d²y 2 dx² dy 1 = -y. dx…

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Q: If each of a, b and c is positive and a + b + c = 6, then show that 75 (a + b )² + (6 + ¹)² + ( +…

A: We have to solve given Questions.

Q: Question 11 a) | b) | c) | ] Consider the surface described by the equation zª = Vyel-2z ] Find the…

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