r = 6(sec 0 + tan 0)3/2

Q: Which of the following sets are equal? A = {x e R|-2sxs2} B = {x e Z|-2sx< 2} C= {x e Z*|-2 < xS 2} ...

A: So set C and D are equal. 

Q: 5. A man 1.9 meters tall is walking away from 6,7-meter-tall lamp post at the rate of 170 cm/s. a. F...

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Q: S sin²4y cos15, 4ydy

A: I have stated the used formulas in the solution

Q: Sec+x Evaluate the following integral: J1-tan²x dx

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Q: A. Find the following limits: 2t2+3t+1 iii. t+0 lim 2t-1

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Q: Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) Su...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: From definition of Taylor series about center c of a function f(x) we know, f(x)= ∑k=0∞fk(c)xkk!

Q: dx For the integral which of the following options is correct? -1 (x-1)3 (A lim 3(x-1)3 w--1 B lim 3...

A: Qe will ise basic definition of integration to solve the given problem.

Q: 3x2+8x-12 dx x3+7x2+12x

A: As per the instruction, we will be answering only the first question.     ∫3x2+8x-12x3+7x2+12xdx=∫ -...

Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point me...

A: Let's find.

Q: The derivative of the function y = tan-1 Vx2 – 1 + csc¬1 x, where x > 1 is: |

A:

Q: II. Find the standard equation (slope-intercept form) of the tangent line to the given function at t...

A: topic- equation of tangent line

Q: This is a differential equations problem. Solve the following IVP's using the Laplace transform met...

A: As per bartleby guidelines we only give first question answers. (All are separate questions. )  

Q: sin x dx TT cos2 x + e cos x

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Q: What is the volume generated by revolving the shaded region around the x-axis? Use the Disk Method. ...

A: Here we know that Volume (V)=∫abπr2dxTherefore here,Given function y=4x-1V=∫14π(4x-1)2dx Take the co...

Q: A large tank is partially filled with 100 gallons of fluid in which 40 pounds salt is dissolved. Bri...

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Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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Q: (x-1)+3(x-1) +5dx

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Q: 4. A ladder 10 meters long is leaning against the wall ofa building The base of the ladder is slidin...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = r, and then find the nth Taylo...

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Q: Find the distance from §= (1,1,5) to the line L: x=1-1, y=2-1, z=31.

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Q: 8. A 1.25 acre lawn is to be sodded with 'Cavalier' zoysiagrass, which can be delivered at a cost of...

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Q: Use the function f and the given real number a to find (f1)(a). (Hint: See Example 5. If an answer d...

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Q: 3.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it....

A: As per our guidelines we are supposed to answer only one question i.e. the question no 3)a). For the...

Q: determine the vatie 84 + 5C of 206 90 12

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: sin 0 d0 cos? 0 +5 cos 0 +6

A:

Q: B) Find the third derivative of the function: Y = + VX3 %3D

A: We have to find third derivative

Q: Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) = (x ...

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Q: Solve the given initial-value problem. dy + y = In(x), y(1) = 20 dx (x + 2) y(x) = Give the largest ...

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Q: Find the maximum or minimum value of the quadratic function g(x) = 2x + 6x + 3.

A: Given,           gx=2x2+6x+3To find : The maximum or minimum value of the quadratic function.

Q: Use the limit comparison test to determine whether the series converges. Σ 3k +4 k=1 The series

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 3 %3D P4(x) ...

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Q: D. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a zer...

A: The given zeros are 3i,-3i,-1 and -1.

Q: dX; = X;(ydX, + tdt), d Хо 3D 1.

A:

Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: 2x 3. Show that f(x): | V16+ t4dt has an inverse, and find (f-1)'(0).

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Q: 2 2 x+y e to pday dyd x |-X

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Q: (4t°y – 15t2 – y) dt + (tª + 3y² – t) dy = 0.

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Q: Determine whether the series converges. Ve k=1

A: To determine: Whether the series converges or not. Given information: The series is ∑k=1∞1ek Concept...

Q: Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2(n +...

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Q: 2. f(x)= Vr² +x+1 %3D

A: Let's find. 

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: Integrate S (a?- ) dv ; where " a" is constant O = - + C 3 =-{ (a? – v²)* + (a? – v²)* + C O = (2? –...

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Q: x+1 For the function g(x) = , 2 a. Determine the equation for any vertical asymptotes, if there are ...

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Q: tiny, no bug lands on a piece of graph paper and walks along a path so that t minutes after it lands...

A: Increasing function

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 2(-1)*+1_k+ 10...

A:   ak =(-1)k+1 k+10k(k+11) {bk} =k+10k(k+11)bk - bk+1 =k+10k(k+11)-k+11(k+1)(k+12)=k3+23k2+142k+120-k...

Q: (sin y – y sin x) dx + (cos x + x cos y – y) dy = 0

A:

Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f '·g-g'·fg2dydx=ddx3+lnxcoslnx...

Q: 1. Which of the following argument is an example of deductive reasoning? *   a. John got a perfect s...

A: As per bartleby guidelines we only give first three question answers. 

Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

A: