Choose all sets that are countable: O (-0.5, 11.5] n Z O (-0.5, 7.5) O NU{-1} O {3k|k € Z} 1 n e N n + 1

Q: sec-dx 3 - 3 In sec – + tan- + C | 3

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Q: Consider the function shown below. V. 4 8 What type of function is shown in this graph? O A. density...

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y? + z...

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Q: Find the directional derivatives of the function at P in the direction of v. f(x,y) = xy P(0,1) v = ...

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Q: | (x + cos? x) dæ + | (2 – sin? 2)dæ =? - 0, 3

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Q: )A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate prop...

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Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h-0 h...

A: Given :f(x)=x3f'(x)=limh→0 f(x+h)-f(x)h

Q: 1. Find the volume of solids generated by revolving the regions bounded by the lines and curves: a) ...

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Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per y...

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a rat...

Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. (- 1...

A: Here we have to determine whether the sequence {an} converges or diverges.

Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9 x) - os Select one: True O False

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Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

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Q: In each part, determine all values of p for which the integral is improper. Enter in interval notati...

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Q: Find the limits of the functions below a) lim,-3 2x3 sin a b) lim

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Q: Let F = (3x, 3y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where neede...

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Q: What does the following equation represent in R? 7x - 6y = 0 Circle Line Plane None of the others Sp...

A: Topic:- geometry 

Q: Find the lowest common multiple of 63,80,102

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Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3...

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Q: x? 2. dx x? +9

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Q: a*dy= +C Ina A True (B) False

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Q: Q2: Use Cramer's Rule to solve the system:- 4x – y + z = -5 2x + 2y + 3z = 10 5x – 2y + 6z = 1

A: Given,            The system of equations are             4x-y+z=-5             2x+2y+3z=10         ...

Q: sec2. dx = a ln b 1+ cot x cot x sec? x %3D What is -? a klos

A: Let I=∫π6π3cotx.sec2x1+cotxdxI=∫π6π3cosxsinx.1cos2x1+cosxsinxdxI=∫π6π31sinx.1cosxsinx+cosxsinxdxI=∫π...

Q: Q3. Find out values of a, b, c for which curl of vector V is zero, where V = (2xy+ 3 yz) i +(x² + ax...

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Q: Suppose that P2(x) = a + bx + ca? is the second degree Taylor polynomial for the function f about æ ...

A: Given : P2(x) = a + bx + cx2 is the second degree Taylor Polynomial for the function f about x = 0. ...

Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj G...

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Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

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Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: Integration is the reverse process of differentiation.

A: Given,            Integration is the reverse process of differentiation.To find : State true or fals...

Q: Calculate the Taylor polynomials T2(æ) and T3(x) centered at a = 2 for f(x) = : T2(x) must be of the...

A: Given function is f(x)=11+x and we have to find T2(x),  T3(x) centered at x=2. Taylor polynomial T2(...

Q: A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000...

A: We have to find the distance between the plane and the base of the arch and the distance between a p...

Q: 3. %3D x +4 Start Över

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Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

Q: -In²(Ine*) dx

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Q: 31 'dt = +C 3lnz A True B False

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Q: It is given that (e7z 12) = 7e*12. Then, by the Fundamental Theorem of Calculus, we have 7x+2 dr 7e+...

A: Let's find. 

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for c...

A: The correct answer will be option (B). The given improper integral will converge by Direct Compariso...

Q: What is lim ? X-0+ x

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Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: 3lnx +2x*dx A 3lnx B 2r4 D 3lnx+2x+ E) None

A: The given integral is  ∫e3lnx+2x4dx

Q: The alternating series (-1)" . converges. (You do not need to prove this, but you can if you 1 3" n ...

A: Here, the given series is: ∑n=1∞(-1)n13nn Now, the given series is an alternating series with 13nnn=...

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p=40-4r? ...

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: A dancing contest has 11 competitors, of whom three are Americans, two are Mexicans, three are Russi...

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Q: The right endpoints approximating R, is n always an over-estimate for the area under the graph of f(...

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Q: Eind equatons of the following x²-2y²+2²+ yz =20, [4,6-3) W the tangent plane 6 the normal line to t...

A: Solution: f(x)=x2-2y2+z2+yz-20

Q: Find the derivative of the vector function below r(x ) = sin²(sec.x 2)i +csc³(Vx ² +1) j +8tan(x -k

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Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0? NOT...

A: Follow next step

Q: 00 k k +1 k=0

A: Leibnitz's test: Let ukk∈Nbe a monotonic decreasing sequence such that limk→∞uk=0 Then the series ∑k...