Which of the following is true for the integral So zdr √9-22 (a) (b) (c) (d) (e) 3 0 Converges to -3 Converges to 3 Converges to Converges to Diverges 113 11 ?

Q: 1 Find the arclength of the curve x = 3 Y 1 t² with 1 ≤t≤ 2. 2

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Q: Find dx 2y +x=5y

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Q: d) The minimum surface area will occur when the length of the sides of the box base is a = e)…

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Q: 16. Find the equation of the solution to dy = xªy through the point (x, y) = (1,3) dx

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A: Evaluate ∬SF⋅n dSF(x,y,z)=(2z−y)i+xj−2xk, andS:a  sphere of radius 1 centered at the origin, and n…

Q: 5. (2.4 #7) Solve the initial value problem. y' - 2y = xy³, y(0) = 2√2

A: The given equation is;y'-2y=xy3, y(0)=2sqrt(2).

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A: Sin(x)=3/26 (in quadrant - first) Find tan(2x).

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Q: pean 3 (4) Consider f(x, y) = x²³-12xy + 8y³ Find the critical points and classify them as a local…

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Q: A missile is launched straight up in the air. The height of the missile, h metres, above the ground…

A: The given height of the missile is .The objective is to find the speed of the missile seconds after…

Q: Let f(x) = 30 1+ 23-x a. Use tables and graphs to find lim f(x) and_lim_ƒ(x). b. Identify any…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: At what point on the curve x = 6t² + 2, y = t³ - 9 does the tangent line have slope? (x, y) = (

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Q: Find the divergence of each of the following vector fields. (a) div( (3x² + 2y²)i + 4xyj) =| (b)…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Let f(x) = 2x − 2 and g(x) = 1 – x².

A: Given Function

Q: Question 2. Find the global maximum and global minimum of the function f(x) = x²e³ on the ellipse x²…

A: To find: The global maximum and global minimum of the function on the ellipse .

Q: Evaluate the indefinite integral: Su ² (G√0 + √√ ) du

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Q: If 5 11 f(x)da = 9 then the average value of ƒ(a) on the interval [5, 11] is 3/2. True O False

A: Given a statement  if then the average value of f(x) on the interval  is

Q: 5. Using this formula, find the following cross product. (0,1,2) × (1,1,4) X

A: Find the following cross product.⟨0,1,2⟩×⟨1,1,4⟩

Q: A math tee shirt business is expected to generate $48,000 in revenue per year for the next 25 years.…

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Q: Consider two functions f and g on [3,9] such that [f(x)dx= a. 5 S71(x)dx= 7f(x)dx= 28 (Simplify your…

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Q: 15 The velocity function (in m/s) of a particle moving along a line is given by v(t) = 3t 5. Find…

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Q: Another model for a growth for a limite population is given by the Gompertz function, which is a…

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Q: Find the area of the shaded region. 6- 4. 2- -24 yex-1 2 2 √=²₁ 3 4x +3 4 5 6 X Q G O A. O B. O C.…

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Q: it seems as though the first solution given might be incorrect as it does not seem to fulfill the…

A: a).Let us consider a rational function f (x) = (x + 10) / (x - 5) -----(1)We shall attempt to…

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Q: Q1.1 determine the most general real-valved solution to the equalian shower below. It is linear…

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Q: = (x5 + x² + 1)ex³+1 and g(x) = eª³+¹¸ Question 1. Let f(x): = (a) Draw a rough sketch of the graphs…

A: The given curves are and

Q: 16 So 0 2e√™ √x -dx-

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Q: If tan(x) = = cos(2x) = 21 11 (in Quadrant-I), find (Please enter answer accurate to 4 decimal…

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Q: Solve for x. Round your answer to four decimal places. log (base4)x+ log (base4)( x + 4) = 8

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Q: (b) (-1,√3) (1) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2π. (C (r, 0) =…

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Q: Express the following sums using sigma notation. a. 1+3+5+7+...+99 b.8+11+14+...+32 c.…

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Q: Acceleration during this time: a (t) = 55t4 +47t m/s² What values (to 2 decimal places) do you…

A: Given acceleration function: a(t)=55t4+47t m/s2Integration of acceleration to get velocity…

Q: 12. Using reparation of variables, solve the differential equation, ey èy nincx) - dy cosa (x1 = 0…

A: The given differential equation is .The objective is to find the solution to the differential…

Q: Question 1. Let f(x) = (x³ + x² + 1)e ³+1 and g(x) = ex³+1¸ (a) Draw a rough sketch of the graphs of…

A: The given curves are   and

Q: Find the most general antiderivative. √(0²³² + +1) C 61² dt 10

A: Given thatto find antiderivative of the functionusing the formula

Q: 9 Use the Intermediate Value Theorem to show that there is a solution to the equation ³-5x² +10x-7=0…

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Q: Use the given function and the given interval to complete parts a and b. f(x)=2x³-24x²+72x on [1,7]…

A: NOTE: Refresh your page if you can't see any equations..The given polynomial function is,The given…

Q: | F · dỡ where F¹ = (3z, —2y, 4x), and C′ is с given by r(t) = (t, sin(t), cos(t)), 0≤t≤π Evaluate

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Q: 2 2 4 Calculate SSF. nds where F= (cosz + xy, xe > (8) S and S is the surface of the solid bounded…

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Q: Let f(x) = 3x(3 − x)²

A: The given function is ;f(x)=3x(3-x)2Find the slope of the function and find the equation of the…