Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

Q: Use an appropriate test to determine if the series ) 2n converges or diverges. n+ en

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A: Given; y=1-19x2, y=0 (x-axis)   From the given curves the bounded region is as shown below; Now tak...

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Q: 1 n > 3. Let an n Vln n Use the Integral Test to determine if the series > an converges or diverges....

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Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

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A: To solve the problem we use integration by parts formula. From integration by parts we get: ∫uv dx =...

Q: 8. y = In(x + V +1)

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Q: has

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 9600 – 6p- ......

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Q: Verify that the series nº + n=1 satisfies the conditions of the Integral Test, then use the Integral...

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Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y" ...

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

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Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

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Q: (x+1)' sin x (c) lim- 2x x-0 (d) sinx lim 0 5x 20 +sin e lim (e) 40 бх -sin 2x lim X-0 2x+3sin 4x (f...

A: Using l hospital rule evaluate limit. 

Q: 3. tan(xy) + xy -0

A: Question number 3,Given,           tanxy+xy=0To find : The second derivative, y'' of the given funct...

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Q: Integral of tan^5(x) dx Show Complete solution

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Q: u = 2i + 3j + k v = i+j+ 4k w = i+ 3j + 8k

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Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: In how many ways can John, Leo, and Mike be seated in a row? a. 3 b. 4 c. 5 d. 6

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Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: 7. y= tane

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Q: Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

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Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

Q: ritical value at A = r) is Select an answer v Select an answer

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Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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Q: Consider the function f(r) %3D f(1) has two inflection points at x = C and x D with C <D where C is ...

A: Given problem:-

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Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: 10. x= cos't; y sin't

A: To find the second derivative.

Q: 3 8. f (t) = (10t)z %3D 9. f(t) = tg'(t)

A: Given  f(t)=10t32 To find Laplace transform: 

Q: We wish to evaluate the following intogral 10 -12xe de We will accompliah this using Integration by ...

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Q: Find the minimum and maximum of the function in the specified interval. 1. f(x) = x² - 6x + 9 on [1...

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Q: Determine whether the series converges.

A: Since there are two different questions. According to Bartleby's guidelines we can solve only 1 ques...

Q: cos2x - sin2x cos2x For dr==F(x)+c What is F(x)? COSx - sinx O (cscx- secx) 3 2 2. sinx +-cos'x+cosx...

A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

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Q: Graph the given piecewise Function

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Q: Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all o...

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Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

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Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: dx

A: Topic = Integration

Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

Q: To evaluate the integral dz, we use Select one: Substitution with z = 2 sin 0, where 2 O Substitutio...

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Q: Use the method of Lagrange multiplier to find the absolute maximum and absolute minimum values of th...

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Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

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Q: CHAIN RULE DERIVATIVES Directions: Differentiate the given fnctions 7) gx) = 13lbc" (5bt 4c t 9)s

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Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...