x3-27 dx 2. ズ-3

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Q: Evaluate [z tn"(1 + x®)dx (1+x³) x². p 1 In³(1+x³) + C 1 In*(1+x³)+ C Option 1 Option 2 12 in*(1 + x...

A: topic - indefinite integral

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Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

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A: Topic:- calculus

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given:  fx=x2-3 To Find:  A To find the average rate of change ARC of fx on the interval 4≤x≤4.1.B T...

Q: Determine each feature of the graph of the given function. -x² + 2x + 8 f (x) = 2x2 16х + 32 Horizon...

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Q: 100 20.0 20.0 20,0 28,0 -20 100-20 100 -20 -20 m(x) п(2) Let h(x) = n(m(x)). Find a point x where h'...

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

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Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

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Q: %3D In this exercise we want to us I sin(z) cos(c) dr Tp (I)SO Hint: Preview My Answers

A: Topic:-: integration

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Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2    ...

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Q: 1. Find the vector equation, parametric equations and symmetric equations of the line passing throug...

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Q: 2x2 – 5x + 2 - Let f(x) %3D 2x2 + 7x 15 This function has: 1) A y-intercept at the point 2) x-interc...

A: We have to find horizontal asymtotes and vertical asymtotes

Q: Inverse function Problems: Walking can burn about 26 calories per minute. a) If you walk for 40 m...

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Q: Find an equation of the tangent line to the curve y=3arccos(x/2) at the point (1, pi)

A: Given that equation y=3cos-1x2To find : equation of tangent line at point 1,πSolution :equation of t...

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A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

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Q: %3D In this exercise we want to r sin(z) cos(z) dx I)SO ( UIS I Hint: Preview My Answers

A: Solved below

Q: Given f(x,y) = x-y-3xy³. Evaluate fdx O 14y-27y3 +C 6 O -6y³ + 8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x...

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1 ...

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Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3...

A: Topic:- calculus

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Q: Find the distance from the point to the line. P(- 3,5, - 3); x = - 3+2t, y = 5+4t, z = - 3 The dista...

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Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

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Q: Find the linear approximation to f(x, y, z) = at the point (–2, 3, 2) f(x, Y, z) ×

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 X-intercept...

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at x=2...

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A: Follow the procedure given below.

Q: 16. The first derivative of the function f is given by f'(x) = 3xª – 12x³. What are the x-coordinate...

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Q: Find the derivative of the function. Simplify where possible: 32) y=tan^-1(x-(sqrt(1+x^2)))

A: some important Derivatives :   1. ddxtan-1x = 11+x22. ddxxn = n*xn-13. ddxx = 12x4.ddxconstant = 0

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Q: ) Indicate (i.e. check) all labeled points at which f(x) and f′(x) are both nonzero of the same sign...

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Q: (1 + cos x)y' = sin x(sin x + sin x cos x- y)

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Q: of the derivative (long method/ increment method) to following functions. 7a) 7b)

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Q: uppose that yi (x) =x² denotes a nontrivial solution of a homogeneous linear econd-order differentia...

A: Put y1 =x2 then solve for y2 

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 400,000 lb of glass co...

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