Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 and 0.05: dy |

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A: Solution is given below:

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A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

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Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

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A: (2). Given:f(1)=4 ;        f(2)=-1 ;        f(3)=-3f(n+1)=5·f(n)2-2f(n-1)

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A: This integral is of expression a2 + x2 . 

Q: 5. Consider the graph of f (x) shown. Does the lim f (x) exist? Is the function continuous at x=3? E...

A: This question is related to limit and continuity,  we will solve it using given information. 

Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?...

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Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x + ...

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

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Q: 3. Find the Scalar eguation of the plane containing the line rt) =<!,2,-37+ -3,2, 17 and the point P...

A: Given problem:- Find the scalar equation plane containing the line  r (t)= &lt;1,2,-3 &gt; + t &lt; ...

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A: Given that: x=tcost and y=tsint

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A: The general form of an infinite geometric series is: a + ar + ar2 + ar3 + ..... Here, a is the first...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Given query is to find the the limit of the expression.  

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Q: Question Evaluate the following limit using L'Hospital's rule. (푸)( lim (cos(6æ))

A: We will solve the given limit by L' Hospital rule

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Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) = 7...

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A: The detailed solution is given below Thank you  The final answer is -101.48

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A: We can find the instantaneous rate of change as below

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Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

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A: Given that: f(θ)=2sec3θ

Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  here the sequence...

Q: Find the general solution of y" - 3y' + 2y = 2e*

A: y"-3y'+2y=2exAuxillary equation is D2-3D+2=0m2-3m+2=0m2-2m-m+2=0m(m-2)-1(m-2)=0(m-1)(m-2)=0⇒ m=1,2co...

Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

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A:  A sequence an is convergent if it has a unique and finite limit "a".And we say that the sequence is...

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A: Given :  

Q: DIRECTION: Solve the given differential equation below with clear solution y" – 6y' + 15y = 2 sin 3t...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

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Q: csc xcot x sin(csc x )dx

A: ∫cscx cotx sin(cscx) dx

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

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