Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm. H(t.) 5 cm. If (L) and (H) are increasing at 2 cm/sec and W is decreasing at 4 cm ser. Find the rate of change of surface area at time (to).

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Q: 1. Which of the following relations is FALSE. A) (ab)" = a"b" B) C) (a")" = a"* D)

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost others.…

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A: This question can be solved using the concept of graphs and derivatives.

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A: Given: limx→∞x·cos1x   As we know that; limx→afx·gx=limx→afx·limx→agx

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A: Topic:- calculus

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A: Given

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Q: V29. Verify that the piecewise-defined function (-, x<0 y = 2, x 0 is a solution of the differential…

A: As per the company's guidelines, we are suppose to answer the first question. Kindly repost the…

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A: Here we have to use the concept of derivatives.

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A: A rectangle has perimeter 112 meters.

Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

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Q: be the solid enclosed by the paraboloid z = -x² – y² and the cone 2? = x² +y?,z > 0.

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Q: 7.2Find the macrorin series of f(x)=(1+x)^(1/3) , by reacthe term n=4

A: Follow the procedure given below.

Q: |+ 3t -dt 11t Simplify the integrand by dividing eac .5 |+ 3t -dt = 11t |dt Type an exact answer.)

A: Given:∫1+3t511tdt

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Q: The volume of the solid obtained by rotating the region enclosed by y = 30x - 6x, y = 0

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Q: Write a in the form a = a-T+ anN at the given value of t without finding I and N. r(t) = ( - t+ 4)i…

A: Here, r(t)=(-t+4)i+(2t)j+(t2)k⇒r'(t)=(-1)i+(2)j+(2t)k⇒r''(t)=(0)i+(0)j+(2)kSo,r'(-1)=-1,2,-2 &amp;…

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A: Given query is to find the limit nofnthe expression

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Q: Circle

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A: The given integral is ∫x(9-7x2)5 dx

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A: This question can be solved using the concept of distance of point from a plane in three dimensional…

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A: The given integral is 5/x2 limit from 1 to 4.

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Q: rounded to the nearest hundredth as needed.)

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A: Integral domain: Integral domain is nontrivial ring with unity, containing no divisor of zero.

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A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

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A: Topic:- function

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A: Explanation of the answer is as follows

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