Evaluate the following integrals. If the integral is not convergent, answer "divergent." 99 1 350 x In x

Q: The half-life of cesium-137 is 30 years. Suppose we have a 130 mg sample. (a) Find the mass (in mg) ...

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Q: Question 213 + 412 - 6t-3 for t2 0, where t is 3 A particle travels along a horizontal line accordin...

A: Given:-s(t)=-2t33+4t2-6t-3   for  t≥0velocity, v(t)=ddt-2t33+4t2-6t-3 v(t)=-2t2+8t-6

Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: 3.) 124-1|dx Evalnate: dt given taat Ina = 9 Evalmate t

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Q: Q.1 Find the value of x by quadratic equation 03 formula: 9x 2 + 7x - 4 = 0

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Q: graph ard fined Domain and Range for yz sin'x-3 ーhm H-zx+ メー→ 3xー5 - greph amel fnd Df f Rf fir ye -...

A: Note:- These are multiple questions and according to our company guideline we can do maximum 3 quest...

Q: What’s the derivative ? f(x) = xe^-x3

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Q: From Rogawski ET 2e section 8.1, exercise 9. Calculate the arc length of y = - x - In x over the int...

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Q: tan x[cot x – cos x]dx

A: Here we can find the integration as below

Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: +oo Inn n2 n=2

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Q: What Mclaurin Series this function represents: En=1(-1)n+1 =" = ¤ n 3 O a. In(1+x) b. cosx c. sinx O...

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Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Show that w is in span(B) and find the coordinates of w with respect to B. B = 6.

A: Linear Algebra

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: Find the area under the given Cunves: D= 9-X From X = - 2 to X = 8

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Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

Q: 3. Solve the following equations over all real num V2 sin(-x) + 1 = 0 a. |

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: 18) rind fue indefinite inpagrel by ma uing tue Subs titel fion x=2Seco. af -de

A: The detailed solution is given below Thank you 

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

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Q: 2+x 9 y = Arctan(- 1-2x

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Q: Question 3 If f(x)=cos x, then f"(x)= O cos X

A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

Q: Find the derivative of y = xV*. Be sure to include parentheses around the arguments of any logarithm...

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Q: Derivative of T Determine the derivative of 1. y = 100 cos 3x 2. y = 5 tan (6x - 1) 3. y = 12 cot (-...

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Q: 1+cos0 lim 0→0- sin@

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

Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert th...

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Q: 8. Using (4.6), find the polynomial P2(x) that interpolates the following data. In each case, simpli...

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Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9...

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: The curve C is the circle of radius 5 contained in the plane z = 5 and centered around the z-axis, o...

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Q: Give some examples of limits in real life situation (preferably in a persons life)

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Q: If (an)? – (an-1)(an+1) = (-2)" for n>1 and ao = a1= 1 then az = a ) 0 b) 5 c)-3 d) 1 e) none a b. o...

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Q: w = x18yz14 + sin(yz)

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Q: 4- x Find the equation of the tangent line tof-l at the point P (G, 1) for f(x) = x+1 Provide your a...

A: Topic:- application of derivatives

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explained below

Q: dx (x+1)v2x2+4x

A: Given: I=∫dxx+12x2+4x   We know that; ∫1x2+1dx=tan-1x+C   So, We can also write as:   I=∫dxx+12x2+4x...

Q: 4.) Find y': Given:y = x²(3 cosh x - 1) 5.) Find y': Given: y = log, csc h (6x³)

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Q: If x + y = 0 and x # 0, then what is the value of x 2007 y 2007 O -1 O 2 O 1

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Q: Exercises: Differentiate each function with respect to x. 1. y = (x³ + 3)5 2. y = (-3x5 + 1)3 3. y =...

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Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 9. ens n...

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Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: Solve the differential equation by using integrating factors. xy' = 3y − 8x2 y(x) =

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Q: Find the area of the surface obtained by rotating the curve y : sin x from x = 0 to x = 1.4 about th...

A: Given region bounded by y= sinx  from x=0 to x=1.4 

Q: Determine whether the given series is convergent or divergent. Justify your answers. +0 +00 (2n)! (c...

A: ACCORDING TO BARTLEBY GUIDELINES, WE ANSWERED ONLY ONE QUESTION.  

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

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