Sketch the region bounded by the given curves, then find the centroid of its area. x = 8 - y², x = y² - 8

Q: Area of Surface of Revolution Find the area of the surface of revolution generated when the given c...

A: Surface of revolution

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

A: Here we have to use the application of derivatives

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Q: For the curve x (t) = t², y (t) =t³ – 3t Given the curve crosses itself at (3, 0), a) Find the point...

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v = (3,...

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Q: Q8 Determine whether {(1+2)"} Converges or diverges. n=0

A: To find the convergence of 1+pnpnn=0∞ For that, note that: limx→∞1+axxa=e

Q: E Homework: M6 MML Homework Question 28, 5.4.61 HW Score: 88.89%, 42.67 of 48 points O Points: 0 of ...

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Q: Sketch the level curve of the function y? f(x, y) = 36 4 for c = 1. 7- 4- -8-7 -6 -5 4 -3 -2 -1 2 3 ...

A: Explanation of the answer is as follows

Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

A: Formula for the mass

Q: Evaluate the integral. 3* dx 3* +4 Solution:

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Q: What is the linear approximation of the function f (x) = e x at x = 1?

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Q: Find dy/dx by implicit differentiation cos(x) sin(y) = x2 − 3y

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Q: 12. Construct an algorithm that has as input an integer n> 1,n + 1 points and xo, X1,…· Xn ... and a...

A: INPUT: n, x0,...... ,xn, x OUTPUT: ∏i=0n (x-xi)

Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: Please see the answer below.

Q: the coordinates or the point on parale x = 5t, y = 9 – t, z = 8 + 8t Y, z) = ( 0, 9, 8 ],) 5, – 1, 8...

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Q: 00 n- 1 Given the series Does this series converge or diverge? O diverges O converges If the series ...

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Q: vector. 19. —3і + 7j 20. (-4, 2, 4) 21. 8i – j + 4k |

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Q: Find an equation of the tangent to the curve given by x = t* +1, y = t° +t at the point correspondin...

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = 9i – 6j+ 3k, v = –...

A: We will calculate the dot product and the angle  between these vectors to solve this question.

Q: Evaluate the following integral using partial fractions: 2x2 +1 dx J(x – 1)(x – 2)(x – 3) -

A: Given: I=∫2x2+1x-1x-2x-3dx   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx ; where a is cons...

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 5t, y = 9 –...

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Q: 17. The equation that models the height above or below equilibrium in inches, h, of a spring over (2...

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Q: 3 The 9 ft wall shown below stands 30 feet from a building. Find the length of the shortest Straight...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(2, 8...

A: Formula to find directional derivative of the function F at a point P(x,y,z) in the of a unit vector...

Q: Find the fourth order Maclaurin series expansion of the function, f(x) = In(1 - 2x).

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Q: 2 y = 12 – 3x", y = 4 – x 2

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Q: Consider the following graph. y -5 -4 3 1 1 2 3 4 6. (a) Find the interval(s) on which f is increasi...

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Q: A garden shop determines the demand function q = D(p) : 4p+1000 during early summer for %3D 40p+26 c...

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

Q: 2 = In (e*x³) 12.

A: As per our guideline we can answer only 1 question so kindly repost the remaining questions specifyi...

Q: 1. Find 2(3z + 4)² dz.

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: 2. S cos-1 x dx

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 - x - In(x) (a) Fin...

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Q: what is the derivative of hcx) at x =D0 where h lx) =2f(6)-2-VFIR) where %3D

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Q: 8) Find the critical points then sketch the graph of the function below. Provide the first derivativ...

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Q: Evaluate the following integral where S is the closed surface bounded by the graphs of x = 2, z = 9 ...

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Q: I+1 5. h(z) at r 1 22-1 6. g(r) Vr-3 at r 4 7. g(r) = at r 8 %3D 8. g(r) = at z 0

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Q: Find the linear approximation for f(x)=sin2x at x=5π6 and use it to approximate sin2(147∘). Round yo...

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Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: Explain why the function is differentiable at the given point. 4x f(x, y) = y + sin (0, 6) The parti...

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Q: The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the ...

A: We have to find the rate of change in velocity of blood.

Q: how would you, using a limit def. of a derivative at a point find f'(-1) for the function f(x). = 3-...

A: Hint:

Q: Compute the value of the improper integral. (If the integral diverges to o, type 00; if the integral...

A: Integral Test : Suppose f(x) is continuous , positive and decreasing function on the interval [k,∞) ...

Q: p + q N = p = u + vw, q = v + uw, r = w + uV p + r aN an aN when u = 4, v = 3, w = 5 au' av' aw ƏN 1...

A: We have to find the derivative by chain rule As per guidelines we have to solve one question

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: To find out the parametric equation and symmetric equation of the line. 

Q: y" – 2y' + y = –3 – x + x²,

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx - (...

Q: Calculus the producer surplus for the supply function p(x) = 3+0.01x at the sales level X = 10. Show...

A: Find your answer below 

Q: a. (fo g)(1) b. (f o g)(- 1) c. (go f)( – 1) d (a

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