If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0

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A: answer is in next step

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A: The given logarithmic expression is  log5x3y2z

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A: Area Bounded by the curves : If f(x) and g(x) be two continuous function and f(x)≥ g(x) on a≤x≤b ,…

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A: Answer is in below steps.

Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

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Q: Test the series for convergence or divergence. n=1 n35n (n+ 2)!

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Q: Question 9 A souvenir shop sells special mugs at a price of $15 each, and at that price, a total of…

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Q: Convert from rectangular to polar coordinates. (a) (0, 1) (Give your answer in the form (*,*).…

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Q: 35 (2i)² 4i i=1

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Q: 9. The growth in the population of a group of rabbits is given by P(t) = 800e008 , where P is the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

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Q: S sin2xsecx dx

A: LetI=∫0πsin2xsecxdxI=∫0π2sin2xsecxdx+∫π2πsin2xsecxdxWe know that sin(2x)=2sin(x).cos(x)I=∫0π2secx·…

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: X tu 3. From questions #2-11, choose an "interesting" relation and i) Sketch the relation clearly…

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Q: Solve the following differential equation for the general solution: dy 2x- y- =D 3. dx Select one: O…

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Q: х — 2 g(x) x + 3

A: Maclaurin series of the function g(x) is                 g(x) ≈ g(0)+g'(0)x + g''(0)…

Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

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Q: x 10°)(2.98 × 10-3) (2.446 x 10-3)(62.5) Express your answer using the correct number of significant…

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Q: Find the area of the closed region enclosed by the curve defined parametrically by x = 4 cos t, y =…

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Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: Write an equation for the parabola with a vertex at the origin and directrix y = - 24 An equation…

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Q: A follasng vector fiebdo are conserva hal function. c)

A: We have to find the potential function if the given vectors are conservative vector field

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A: This question can be solved using the concept of matrix multiplication.

Q: Solve the differential equation dR a(R² + 4). dx Assume a is a non-zero constant, and use C for any…

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Q: Determine whether the given series converges or diverges. If it converges, find its sum. 8* +7 Σ *-1

A: Solve the following

Q: y as a one-to-one function of x.

A: The given graph is:

Q: Calculate the first four terms of the following sequence, starting with n = 1. 2 Cn = 2 + 2 2 + %3D…

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Q: 6. Set up the integral to calculate the area between the curves fG)= g(x) =-r+2 [ (fy)-g(y)) dy А.…

A: The region is bounded by,f(y)=y2 , g(y)=-y2+2 and y=-1

Q: Evaluate the line integral L(r – y*)dx + (1+ y² + =*)dy, where Cis the circle of radius 2 centered…

A: We have to evaluate the value of the integral

Q: Find all solutions to the equation below in the interval [0,2π)[0,2π). Give all answers as exact…

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Q: Find the exact length of the curve. y = 2/3(1 + x2)3⁄2,      0 ≤ x ≤ 4

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Q: Test the series for convergence or divergence. (-1)"-1 T"

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Q: dx Evaluate: xV x2 + 4 x² + 4 – 4 + C x2 + 4 + 4 - A) 4 x² + 4 – 2 +C x² + 4 +2 Vx² +4-2 + C Vx² + 4…

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Q: 3/2 Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3(1 - x)2. P4(x) =

A: Solved below

Q: Find the length of the curve y 12z/2 - 4, 1 <I 2. %3D Find the limit of tl.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 64. ● u(x) = (x² + 1)4*²-1 1 66. ●g(x) ex + e¬x

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Q: 2y dx − x dy = 2 dx Solve for  dy dx

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Q: A campground owner has 600 m of fencing. He wants to enclose a rectangular field bordering a river,…

A: We know area of a rectangle= length*width and perimeter of a rectangle= 2(length+width)

Q: Convert from rectangular to polar coordinates. (a) (0, 1) (Give your answer in the form (*,*).…

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