2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a rate of 4 cm?/s. Find the rate at which the length of the base of the triangle is changing when the height of the triangle is 4 cm and its area is 20 cm2.

Q: (r'+2) dx

A:

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A: We know that,  Int(x^n)=x^n+1/n+1+c And, Int(1/x)=log|x|+c

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A: Given problem:-  

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A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

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A: Let's find. 

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A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:...

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A: This is a problem of series and sum calculator. By using integral test we will identify the nature o...

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A: I am attaching image so that you understand each and every step.

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A: Answer: TRUE

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A: topic - mean value theorem

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A:

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

A: Let's find. 

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A: This question is based on Logarithmic graph and it's properties.

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

A:

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

A:

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Q: 2. For the line through P(3, 2, – 1 ) and Q( – 2, 1, – 4 ), determine each of the following : a) vec...

A: For the line through P3, 2, -1 and Q-2, 1, -4, to determine each of the following: a vector equation...

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2

A: We can find the 2nd derivative of the given expression as below

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

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Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

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Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what...

A: Given query is to find indicated derivative.

Q: 3. Solve for x: (3)*+1 = V3

A:

Q: 1.5 (0,7, 0.2y f0.7,0.2) O5 ー15 - O.5 0.5 1.5 -0.57 (-1,2,-1) -15 -2

A: The f' is undefined where the graph of f has shard edges that is at x=-0.7,0,0.7,1 f(x) has sharp ed...

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A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

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Q: 4. y=x

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Q: Solve the inequality. x-2 < 0 X+1

A: Given,            x-2x+1&lt;0

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

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A:

Q: +00 S" x?dx

A: To write that the given integral is improper or not.

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A: Given: The local movie theater offers discount cards for movie. For Php 300, you can purchase a card...

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A:

Q: where A and C are eritical nummb ers /- intervals (-0,A) (AB), (B.C) and (C) where A and c are eriti...

A: This question is based on application of derivative.

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A: I am attaching image so that you understand each and every step.

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A:

Q: dx I [; (1-2x) I= [sin (4x) cos(4x)dx (In(x))3 dx I

A: Given

Q: he given series converges or diverges. use the following as proof: rison Test, Integral Test, Series...

A:

Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series.