Use the graph of the function to estimate the interval on which the function is decreasing. y Enter your answer in interval notation. Enter any values to one decimal place. To enter ∞, type infinity. To enter U, type U. 5- 3 II I TYS

Q: 7. Determine (with proof) if the following series is converging absolutely, converging conditionally…

A: Given series is       ∑3n!nn       Let  an=3n!nn  ⇒ an+1=3n+1!n+1n+1            an+1an = 3n+1!n+1n+1…

Q: Exercise 1.3.8: Find an implicit solution for dy dx = x² + 1 -, for y(0) = 1. y² + 1'

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Q: The population of a city can be modeled by P(t) = 12e00 thousand persons, where t is the number of…

A: The population of a city is Pt=12e0.04t thousand persons , where t is the number of years after…

Q: Compute the periodic rate and interest in the first period for a $2,000 loan with 8.5% APR for the…

A:

Q: II. Solve the system of equations 2x - y = 3 (3x + 2y = 1

A: The given system of equations are: 2x-y=3                . . . i3x+2y=1              . . . ii We…

Q: 6) If f(x) = X f(x) A) B) C) x4-1 x-1 0.9 find lim f(x). x → 1 t X 0.9 f(x) 4.595 5.046 0.99 X 0.9…

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Q: Express the number in terms of j. On²j√n n²√√n Oi√ns O-n²j√n

A: -n5

Q: The centroid of the plane region bounded by the graphs of y = f(x), y = 0, x = 0, and x = 3 is (1.2,…

A: Given: The centroid of the plane region bounded by the graph of y=fx, x=0, y=0, x=3 is 1.2, 1.4To…

Q: ܫܬܵܐ -3 Choose 1 answer: B -2 0 < x < 1 2<2<3 2.5 4<x<5 2- 1.5 1- 0.0+ -0.5+ Select the interval…

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Q: The roots of the characteristic equation of a matrix represents the O of the matrix eigenvalues rank…

A: We will use basic definition of eigen values to conclude .

Q: Problem Prove that increasing and bounded function f [a,b] - : limits at every z € (a,b). R has…

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Q: -0-0--0--0--0- 1 19. Let S be a set of vectors such that u = whether the set of vectors is linearly…

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Q: If a, ß and y are the roots of the equation, x³ - x - 1 = 1 + a 1+ B + 1 - α - 1- B + 0, then 1 + y…

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Q: case. What is the relationship between the three numbers below? Explain why it is the xyzb xyz0b…

A: We will first write the given numbers in base 10 representation using the concept of radix…

Q: Define f(n) = +¹-(-1)" for all n € Z. Thus, f: Z → Z. Which is correct? Select one: O a. O b. O c. f…

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Q: Find the pre-image of (6,-1), given that L(x,y) = (2x, y-x). (1,5) (3,2) (-2,3) (2,0)

A: According to our guidlines we can solve one question at a time so , we are solving 1st question for…

Q: Suppose X and Y are subsets of some universal set. De Morgan's laws provide expressions for the…

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Q: A Calaulate the following integrals I sb zee dia 1 a 9 ² (2-1)²dz

A: We have to find value of given definite integral.

Q: Examples. Justify your answers briefly. (c) A function RR that is strictly decreasing and…

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Q: Find the smallest positive rod the equation 3x³_ g 1₁ ² + 8 = 0, decimal places, correct to using…

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Q: 5. Let y = f(x) = 3 sin |2 Amplitude Midline sin [2 (x − ²)] - +1. Determine the following. Period…

A: 5. Given,                y=f(x)=3sin2x-π5+1.

Q: 7. The estimate revenue and cost functions for the manufacture of a new product are R(x)=-2x²+15x…

A: We have  revenue and cost function  We know that the average profit function =revenue function -…

Q: The general solution of r2y" + 3ry' + y = 0 is. +₂2² B. y = cx + c₂ln(x) C. y=+(2) D. y=2+2

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Q: If lim f(x) = 5, must f be defined at x = 1? If it is, must f(1) = 5? Can anything be concluded…

A: Answer given below.

Q: write 3 different long questions of TRANSFORMATIONS and solve each one of them in paper

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Q: Listen Perform the indicated operations. Leave the result in polar form

A: Answer given below.

Q: 8. 3) The value of L-{} is. 844 B. 2te +et A. 3tet + e-t C. 2te-t+e-t D. 3te + e

A: We have to find  , the value of       L-1  s+4s2+2s+1  = ? options are    (A)  3te-t + e-t (B)  2tet…

Q: 58. The owner of a small brewery in Milwaukee, Wisconsin, is using Winters's method to forecast his…

A: Given: Constants, α=β=γ=0.2; S10=120, G10=14, c10=1.2, c9=1.1, c8=0.8, c7=0.9To find: a) Forecast…

Q: Let v = (2, 4) and w = (3,-5) (a) Find a vector of unit length in the same direction as w. (b) Find…

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Q: The actual weight of a penny is 2.500 grams. An experimenter weighs the penny 6 times (in grams) as…

A: Actual weight : 2.5 gm Experimented weight : 3.451  2.398  3.267  2.746  3.494  2.319

Q: 0. X 1 3 v y -77 -3 LO

A: Given data set x y 1 -1/3 3 -3 5 -27 7 -243

Q: Question 6. The goal of this exercise is to make sure you understand √² √x² #x. a) Check your…

A: a) It is given that for any real number a such that a≥0, there is a unique number a≥0. We have to…

Q: Let A = ff, I, y }, B = {r, a, t}. Find A x B and B x A. AxB= BxA= Let A = ff, I, y }, B = {r, a,…

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Q: Select the correct graph of the function f(x) = -3 cos x + 3.

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Q: 1. USTP employees have the following monthly dues in thousand pesos to their cooperative: 10, 40, 5,…

A: Monthly dues in thousands10,40,5,20,10,25,50,30,10,5,15,25,50,10,30,5,25,45

Q: Nuclear power plants use Uranium-239 as a power source. U-239 has a half-life of about 2 years. a)…

A: Given the uranium isotope U-239 has a half life of about 2 years. (a) Given the chart for the amount…

Q: Given w₁2e-0.5j and W2 = 0.5e-2.3j determine the magnitude, r, and argument, 0, of Z W1 (w₂)2 I…

A: We have to find modulus and argument of a given complex number.

Q: = x + 3 and g(x) = x², sketch the graphs of: a) (f - g)(x) b) (fx g)(x) Given f(x) =

A: First we have to find function for the given function and we have to plot graph.

Q: 5) Use Dijkstra's algorithm to find the shortest route between node 1 and every other node in the…

A: Given

Q: Solve the DF simul DE OF simul toneasy! erly. √2 + 5x (e)-2y(t) d₂ de dy dy = t. + 2x(₁) ry(E)=0.

A: The given system of differential equation is         dx/dt + 5x(t) - 2y(t) = t         dy/dt + 2x(t)…

Q: Let R = {(a, a),(a, b), (b, b),(a, c), (c, c)} be a partial order relation on Σ= {a,b,c}. Let ≤ be…

A: (e) abbac &lt;= abb is the only true statement. explaination:- ???

Q: Number 7e help me

A:

Q: In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to…

A: Given that the rate of memories is proportional to the amount left to memorize. Also, the rate of…

Q: Which of the following is a linear transformation? T(x,y)=(3xy,2x+y) T(x,y)=(x+y+2,2x2)

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Q: (t-7)y' + (t-1)y = Int+t-¹, y(-2) = 4 Find the interval in which the solution of the initial value…

A: From the Existence Theorem : An ODE of the form y'+P(t)y=Q(t) has a solution in an interval, where…

Q: For each of the following functions decide whether it is injective, and whether it is surjective.…

A: Let, for a, b ∈ Q.               f(a) = f(b)            =&gt; 5 - a3 = 5 - b3            =&gt; a3 -…

Q: Solve for r in terms of P, n, and t: P = (1 + ² )'

A:

Q: Consider the function ƒ: R \ {-3} → R : x → x x + 3 (a) Determine the general expression for…

A: Since there are many parts, so find the solutions of the first two parts.

Q: 1) Consider the function g(x) f -2 1 2 3 4 مه

A: Answer given below.According to guidelines I have solve first three sub parts.

Q: The value of Lu(t-3)} is. B. e-(-+) A. e³ (-+) C. (++) D. e(++)

A: 9)  we know the second translation theorem of Laplace transform gives  L{ g(t-a)u(t-a)} = e-asG(s)…