Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у² - 2z In y дх дz дх дz дх дz дх дz = = 11 =

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A: We can solve this as follows:

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A: See the answer below

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A: The objective is to evaluate the limit.

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A: Given

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A: Here we have to check the convergence of given integral

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A: We know that maximum area of rectangle in any circle is square.

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A: Given.

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A:

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A:

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A: The objective is to solve the above question.

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A:

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A: SOLUTION-

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A:

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A: f(x)=Bx2+6sqrt(x).

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A: Differentiate and put the respective values.

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A:

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A:

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A: To find out the partial derivative.

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A: A detailed solution is given below

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A:

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A:

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A: To evaluate: limx→0 cosxx Let y= limx→0 cosxx ⇒y= limx→0 cosx1x

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A: limx-infinity [ln(2x-4)-ln(x+3)].

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A: answer is in next step .

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A: Given that, the variable force is Fx=40-x N the interval is 4,20. Note that, the total work done by…

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A: The solution is given below.

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A: Here we have to use the product rule, quotient rule and general power rule.

Q: 6X-1 4X+1 X+7< 6 OX<-89/2 (-∞, - 89/2) O X<- 89 (00,- 89) O X<-2/89 (-∞, -2/89) O X<∞ (89/2, ∞) 8

A: x+7&lt;6x-14-4x+16x+7&lt;6(6x-1)-4(4x+1)4×6x+7&lt;36x-6-16x-424x+7&lt;20x-1024Multiply 24 on both…

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A: To find out the first partial derivatives.

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A:

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A: Use limit definition to solve

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A: Newton's method for solving equations is another numerical method for solving an equation f(x) = 0.…

Q: mi I Τ 1+ d) √¤√ï√™

A:

Q: 2. Differentiate. a)/(x)=12x¹ 5 -1 √√2-1 c) h(x)=- b) y = - 3x² 2x+3 - d) y = 21+1 31-2)

A:

Q: Express the number as a ratio of integers. 3.898 3.898898898...

A: 3.898898898..... this can be written as  3.898898898..=3+ 0.898 + 0.000898 + 0.000000898 + .. ...  .…

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A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

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