Int Consider R(t) = (t lnt, 1 (tInt, | Ř(t) dt. Find 2 t t(1 – In² t).

Q: The function f(x) 2x – 33x2 + 108x – 1 has two critical numbers. The smaller one is x = and the larg...

A: Explained below 

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Q: 10. y"" + y" = 3 А. 3 В. Зх C. D. 3x?

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Q: ( sec2ytan2ydy * The | is equal to 4+ sec2y A none of these B 1 tan-(secy) + C © 히미4+ sec2yl +c D D ...

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Q: S(sec z tanr- 7x*)dr =. O tan z + x+c sec z +x7 +c sec a- ' + c O- sec a -x' +c sec z + x'+ c

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Q: Situation 1 A tank initially contains 100 gal of brine where there is dissolved 20lb of salt. Starti...

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Q: 3.) which of the following is equivalent to: - 2t -st cosh t dt 2 7. A. LICOS ht] B. L [e * cosht] -...

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Q: Let f be a continuous function over an interval I containing a critical point c and f is differentia...

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Q: * To evaluate the integral sin3ecos®ede by trigonometric transformation, we use the identity, A cos?...

A: Explanation of the answer is as follows

Q: Find the Laplace transform of the given function. 1. H(t – 2)(t + 1)

A: As per guideline we can solve maximum one  questions you can repost other in next question

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

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Q: Q/ find Laplace te-atsinht dt

A: We have to find Laplace of ∫0∞te-4t sinht dt

Q: Find d'y/da? without eliminating the parameter. A) B) 9t, y ,t#9 t2 – 18t 2t2 – 18t (t – 9)2 (t – 9)...

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Q: Select all possible vector equations for the line through the points (1,1,1) and (3,4,5). F(t) = (1,...

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Q: 4 7 is 2 4 The inverse of Use it to solve the following system of equations. 2 -1 4x + 7y 7 2x + 4y ...

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Q: Let S be the subset of (0, 1) consisting of numbers whose digits (in the decimal expansion) alternat...

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Q: OCalculate the derivatives of the following functions. Do not simplity the answers @ Y= xe+ Jete(sin...

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Q: Let f be a function that is twice differentiable over an interval I. If f"(x) > 0 for all æ E I, the...

A: Given the function f(x) over an interval I

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

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Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1. Fi...

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Q: + 11x is The antiderivative of the function f(x) = 4 + 5.5x² + c 11 + 2.0z² + c + 5.5z² + c -4 + 22....

A: Anti derivative is obtained by integrating f(x)

Q: 3. Evaluate -dA where D is the region in the 1" quadrant bounded by y =x' and y= 4x.

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Q: j. Approximate the intervals of time ,when the acceleration is positive. k. Approximate the interval...

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Q: Derivatives

A: Please refer to the image below

Q: 1. The number of a certain type of bacteria increases continuously at a rate proportional to the num...

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

Q: Solve for the particular solution of the non-homogeneous DE.  y''' + y'' = 3

A: Given that

Q: 4.) Given that L Itsinh 4t] = %3D usc the First Shifting theorem to compute L[teinht] A. [G+4)=-16] ...

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Q: Use the Divergence Theorem to compute the net outward flux of the field F = (-x,4y,z) across the sur...

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Q: * Using integration by parts, the integral sec³dx is equal to 1 1 - secxtanx +In|secx +tanx| + C 2 1...

A: Use by parts method of integration

Q: 1 %3D 0. O v9 V7 O V8 O vīl O vīo

A: ∫0812xdx

Q: | Use a Maclaurin series to approximate the integral | a/4 cos(x) dx to an accuracy of three decimal...

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Q: %3D ut of 6/ O vīo O v7 O vīl O V8 uestion

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Q: *** By using horizontal element, the definite integral representing the area of the region bounded b...

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Q: Curva((v2 sen(0): 0) š0,0 (v2 sen(0): 0), (0< s 2 a = 1.5- b = Curva ((Vcos(2 0); 0) 50,c (Vcos(2 0)...

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Q: ***A spring has a natural length of 10 cm. If 10 dynes of force is required to hold it stretched 1/2...

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Q: Solve for the particular solution of the following non-homogeneous DE. 2y''+y'=3

A: here we need to find the particular solution of given differential equation. the solution is followi...

Q: Let f be a function that is twice differentiable over an interval I. If f"(1) > 0 for all z E I, the...

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Q: Solve for the particular solution of the following non-homogeneous DE. y” - 4y' - 12y = e6t

A: Explanation of the answer is as follows

Q: 4. Given the function f(r) = Vr – 2, (a) What can we say about f'(2)? f'(0)? ƒ'(4)? (b) Why are we a...

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Ki...

Q: Use the function f(x) = xỉ – xi to answer the following questions. (a) Find the interval(s) on which...

A: Let's find. 

Q: Using the Alternating Series Test on the series (-1)" In n we see that b, In n and n=1 (1) bn is cho...

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Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric description...

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Q: A box weighing 50lbs falls from rest and the air resistance is proportional to his speed V and that ...

A: We need to find velocity.

Q: 3. Find f(t) given. 3 F (S) = 4(s+5) A. +3p St est C. 3 -5t D. I 4 eist

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Q: Solve for the particular solution of the following non-homogeneous DE. y''-2y'=ex

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