Using integration by parts, the integral Vx In x dx equals:

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

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Q: 1. The figure is a triangular prism . What is the surface area of the figure? A. 84 B.64 C.90 D....

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Q: 3. If the sum of two numbers is C, find the minimum value of the sum of their squares.

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Q: Exercise III Let (a) o = x²y +xż and (b) ó = x² + y² + z?. Then, respectively attempt to find the di...

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Q: Question 2 of 10 > View Policies Current Attempt in Progress Evaluate the integral. d.r r2 + 6x – 7 ...

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Q: Obtain the Laplace transform of the given functions. Simplify answers, whenever possible. Show compl...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: x² – 6x + 8 - 4. Evaluate | I Tr? +1Xx–1) dx using Partial fractions. .2

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Q: Find the centroid of the given region. [Give exact answer in fraction form.) y-2- y=x The centroid i...

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Q: Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

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Q: for power substitution method, next step is * . For S(y + 2) /2 – 3y dy - (u² + 2) (2 – 39)")}(3u'du...

A: Find out the correct power substitution. 

Q: A sform z (pa, + zaz) to spherical form. Simplify your answer.

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Q: In exercises 1-23 solve the given differential equations: dy 1. = sin 5x %3D dx 2. etdy dx = 2x dy 3...

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Q: 8x dz +C %3D

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Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

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Q: Which of the following functions form a particular solution of the differential equation y"+y = sinx...

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Q: Given the equation: y = (eln x², find y. A In x B 2(In x) / x (c) 2x D 2 elnx

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Q: 2x + 6, r 6 is continuous at %3D I = 6. Justify the conclusion. (i) f(6)= (ii) lim f(r)= (iii) lim ...

A: The given function,  fx=2x+6,x<612,x=6-x+24,x>6

Q: S cos?x-ex

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Q: Partial Derivative Let w = exz sin(yz) – ev²cos (xz) Find wx. %3D - Higher Derivatives Let z = (x – ...

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Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)   =14+3+83...

Q: An unknown radioactive element decays into non-radioactive substances. In 920 days the radioactivity...

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Q: QIAnswer the following equation ,your answer should be like :(x=4)(y=9)(z=6)? * .write it in the sho...

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved a...

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Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Q: 3-VE For dz, z = 2+vz

A: Given,             ∫3-z2+zdz

Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

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Q: Determine the total work done by the force field F(x, y) =. over a particle that follows the path de...

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Q: Question 9 of 10 View Polides Show Atterpt History Current Attempt in Progress Your answer is incorm...

A: ∫ (20x -20)dx/(3x2 - 8x -3) ∫ (20x -20)dx/( 3x2 -9x +x -3) ∫ (20x -20)dx/(3x(x-3) +1(x-3)) ∫ (20x -2...

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i 20j as adj...

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Q: Evaluate function. Let f (x) =x²-1, then evaluate if f(a+3). A a²+ 12a+64 B a²+3 С) а2+ба +8 D a²+6a

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Q: : find ualue and eigen eigen vector of matrix A. 10 A = 7 -2

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Q: 3r-4x+1 if x + 1 3. Given the graph of the function f(x) = complete the table. エー1 if x = 1' Differe...

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Q: Glven A = and B =. Determine the components, magnitude, direction angles of the vector 3B + A. Sketc...

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Q: dx 19. S 16+9x² A. tan- () + B습tan-' () + ccot- () + c -1 В. + C 16 16

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Q: Determine whether r{(1+E)*"}.. Converges or diverges.

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Q: Determine the value of c such that the function is a probability mass function. g= {(11,0.12), (13,0...

A: For the probability mass function: ∑xPx(x)=1

Q: 17. If y = tx, where t is the parameter, what are the parametric equations of the curve x' + y' = 8?...

A: solution:-y=txx3+y3=8x3+tx3=8x31+t3=8x3=81+t3x=21+t33

Q: find the average rate of change of the function over the given interval y= 3/x-2 , [4,7]

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Q: 1. Evaluate the integral |// cos (-) dV, where G is the solid defined by the G inequalities <y< , y ...

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Q: An island is located 30 miles N27°36​'W of a city. A freighter in distress radios its position as N1...

A: I am attaching image so that you understand each and every step.

Q: ftan (x}sec"(x)dx Scot (x)csc°(x)dx Ssin (x)cos°(x)dx

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Q: [1 2 a-lf A = 0 1 -1 lo o 4 prove that (A - AT) is askew-symmetric 2 matrix

A: simple sunstract A minus transpose A and see that property of skew symmertic matrix is follows.

Q: / Va? – 4 dx, х > 2

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Q: 2. lim In x x-1 lim In x x-1 lim In x x-1 f(x) X f(x) 0.1 2 0.5 1.5 0.9 1.1 0.999 1.001 0.9999 1.000...

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Q: Question 11 d²y is Blank 1. Find the second derivative of y= (x+5)² The dx- Blank 1 Add your answer

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Q: Question 3 Find lim (x2– 4x+ 3). The Limits is Blank 1. x-5 Blank 1 Add your answer

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Q: Question 30 Determine the second derivative of 2x³ + y²= 1 – 4 y A 6x ( y + 2)-! - 9xª ( y + 2 ) -3 ...

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated axi...

A: Given query is to find the volume of the solid generated.

Q: 1. What is the slope of the line tangent to the curve y=x3(x2-3) at x=-1? A. 1/4      B. -1/4      ...

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Q: 1 Find the 2 Let x be a continuous random variable over [a,b] with probability density function f. T...

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