Given functions m(x) = = VE and h(z) = z - 4, state the domains of the following functions using %3D interval notation.

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A: Given that S is the set of numbers of the form -1(n+1)(n-1)(n+1), where n is an element of the set o...

Q: The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is...

A: Given:- The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the popul...

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A: Follow the procedure given below.

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Q: . The equations x + y = 2 and 2x + 2y = 8 are examples of equations which are

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Q: 3)let the curve c be 3 let given by r(t)=2€-5,Sint,-Cat) for tr stc lT r(t)=2t-5,Sint,-Cost) for Tst...

A: r(t) =(2t-5,sint,-cost)a)r'(t)= (2,cost,sint)|r'(t)| =22+cos2t+sin2t =4+1=5|r'(t)|=5L(c) =∫-ππ|r'(t)...

Q: price p (in doi equation q = 800- 20p and 0s ps 40 (i) Express the revenue R as a function of q. (ii...

A: Given demand equation is q=800-2pand 0≤p≤40where p is the price and q is the quantity sold

Q: Solve the differential equation with appropriate method. 3xy2dx + (3x2y + 4y3)dy = 0

A: As per our guidelines we only solve 1st question and rest of the question should be reposted.

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Q: Nutrition Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 ...

A: NOTE: Refresh your page if you can't see any equations. . x=number of oz of grain y=number of oz of ...

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19, —...

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Q: C. Find the third derivative of the given function/s. 3. у %3D х (2х + 1)2 4. у %3D (2х— 1)(х + 2)2

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Q: following expressions will simplify to just z. eln (z) Simplifies to z? ? logs (2) Simplifies to x? ...

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

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Q: Rationalize the denominator. V14 The answer is O (Simplify your answer. Type an exact answer, using ...

A: topic - rationalization

Q: The function f(z) = 3 is represented as a power series 1- 4x 00 f(x) = Σ Cna". 0=t Find the specifie...

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Q: BASIC PROPERTIES OF INTEGRATION THTEGRATG THE FOILOWING stan2% Sec' 2xdx 2. 7) ァメuIS× COSX

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Q: Let f be defined by the following. S2x-3 f(x) = 6 - x if x < 3 if x 2 3 (a) Is f continuous at x = 3...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: Find an equation of the tangent ine to the function y 4at the point P1, 4) Solution We will be able ...

A: We will use point - slope form to find equation of tangent line to curve through given point

Q: Differentiate each function with respect to x. 2. f(x) = ln (3x^2/x^3+3)^5

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Q: What is the integral of f(x) within the interval [2, 6]? AY 4- 2 2 4. 8 Created with a trial version...

A: We can find the area as below.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: x dy -ydx -Vx²_yz dx =0

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Q: Simplify. V25 The answer is

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Q: 5. A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per lot and ...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: I am attaching image so that you understand each and every step.  

Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny

Q: The differential equation 2 d y + x dæ3 1(4) - 5y = e is: dx O linear and third-order O non-linear a...

A: Given differential equation is: x3d3ydx3+xdydx2-5y=ex  

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Q: Evaluate /| ay² dA, where D = {(x, y) | sin x < y < 1/2,0 < r < a/6} %3D

A: The given integral is: I=∫∫Dxy2 dA ;where D= (x, y) | sin x≤y≤12,  0≤x≤π6 

Q: Fill in the blank with the appropriate word, phrase, or symbol. When the denominator of a fraction c...

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Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

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Q: The graph shows how the average age of first marriage of Japanese men varied in the last half of the...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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Q: dy Given the differential equation. da? + 4y 0 and the initial conditions y(0) =0 and y'(0) = %3D a,...

A: To find the value of a, first we differentiate y= sin(2x) with respect to x and then substitute x=0 ...

Q: Tx?+y?)dx + 3xydy

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Q: Simplify the following into a single logarithm: 4 log(5) – 2 log(x) 54 O log O log(4 · 5 - 2x) O log...

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Q: Differentiate each function with respect to x. 3. f(x) = ln (-5x^2/4x^3+1)^2

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Q: 21 dt 24 24 s(s – 2) (s – 2)' O A.) B.) 24 24 s(s + 2) s°(s – 2) C.) O D.)

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Q: Determine whether the number is rational or irrational. 3.789778977789.. Is 3.789778977789... ration...

A: The given number is: 3.789778977789...

Q: true ? following which of the is 9. In finite rey union finite set is finite set. of 6. The union of...

A: (b). If A and B are disjoint denumerable sets,then A∪B is also denumerable.