y 5+ 3+ 2- 1+ ++ -5-4 -3 -2-1+ 1 2 3 4 5 -2+ e3- -4- -5-

Q: The position of the particle at time t is given by s(t) = t2 – 6t + 8. The particle is moving from r...

A: Given that: Position of the particle, s(t) = t2 - 6t +8t To Calculate:   time required to move from ...

Q: Evaluate the limit, using L’Hôpital’s Rule if necessary

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A: Given- st=-6t2+24 To find- The time in which the ball hits the ground. Concept Used- When ball hits ...

Q: At all times, the length of the long leg of a right triangle is 3 times the length x of the short le...

A: We have, longer length of right angled triangle is 3 times shorter length of the triangle. Therefor...

Q: Differentiate implicitly to find the first partial derivatives of w                          cos xy ...

A: Given equation is cosxy+sinyz+wz=20.

Q: Find the value of e" dx, taking 6 subintervals by Simpson's rule.

A:

Q: Find the exact value of each expression (without acalculator.)  ln (1/ e)

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Q: Find the critical points of the function f(z) = 3z - 9z.

A:

Q: Quiq plz

A: The Simpson's 13 rule is given by formula ∫abf(x)dx = h3fx0+4fx1+2fx2+4fx3+4fxn-1+fxn where h=b-an s...

Q: Explain why or why not Determine whether the following state- ments are true and give an explanation...

A: a. Given that ∫uv' dx=∫udx ∫v'dx. Counter example: Take u=1  and  v'=2. This implies that, ∫1·2 dx=∫...

Q: 26 a. The function f(x)=x- 6x² + 9x-3 is defined on the interval [0,5]. Find the critical points of ...

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Q: 22 Find the Volume of the Solid of revolution bound al by the circuit x*+y=16, aud the lineSX=0 and ...

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Q: dy (using implicit differentiation) da For the function tan y = 4x + 180, find

A:

Q: For the function tan y = 9x + 62, find dy (using implicit differentiation) dx

A: tany = 9x +12 Differentiate w.r.to x, we have  d(tany)dx=d(9x+12)dx  

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Q: x2 /(x2 +x +2) Write out the form of the partial fraction decomposition ofthe function (as in Exampl...

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Q: ip .(using implicit diflterentiation) dz For the function tan y 7a +83, find

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning, "I u...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: If f(z, y) 16xy- 6 z y and all its first and second order partial derivatives are continuous, then w...

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: 七ん

A: To evaluate: ∫07∫x2x46ydydx Evaluating the integral. ∫07∫x2x46ydydx=∫076·2yx2x4dx=12∫07x4-x2dx=12∫07...

Q: Quiq plz

A:

Q: EXAMPLE 5 Additional indefinite integrals Evaluate the following indefinite integrals. dx 4 а. b. с....

A:

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A:

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Q: Quiq plz

A:

Q: find dy. y = x√1 - x2

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.