Givenf (x) = Vx(x– x³). find f'x) - OF(x) = V- r Of (x) = }V& – 3x²

Q: 1. The probabilities that a researcher surveyed 1, 2, 3 and 4 college graduates in the households in...

A: Given that the probability of a researcher survey 1 , 2 , 3 , 4  college graduates in the household ...

Q: _15. lim X-4 2x-8 is x+4 a. 0 b. -6 c. 2 d, does not exist

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

Q: +00 S 13 In n n n=1 Determine whether the sequence converges, and if so find its limit. If the seque...

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Q: There is an infinite discontinuity at x = 0 and f(0) = –2

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Q: In(x) f(x) =x

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Q: Find the following limits: Vx²+21-5 1- lim x-2 x-2

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Q: The boundary of a lamina consists of the semicircles y = V1 - x? and y = V9 - x² together with the p...

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Q: 3. S? dx ( Improper Integral) (х-2)5

A: The given improper integral is: ∫13dx(x-2)23 Since the integrand f(x)=1(x-2)23 is undefined at x =2 ...

Q: Two sides of a triangle have lengths 12 m and 16 m. The angle between them is increasing at a rate o...

A: Topic:-  trigonometry ratios  

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Q: Use the second derivative test (is possible) to find the relative extrema of f(x) = 3x^4 - 8x^3 + 6x...

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Q: 5. lim f(x) = +∞, lim f(x) = 0 6. lim f(x) = +∞, lim f(x) = 0 x → 1+ %3D x →1- x → 1+ x→1- and f(-1)...

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Q: Use Hooke's Law to determine the variable force in the spring problem. A force of 450 newtons stretc...

A: Given:    F = 450 N     x = 30 cm  Limits: a = 50 cm , b = 80 cm

Q: 8.4: 26 Determine whether the series is absolutely convergent. 26. 2 2 n=1

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Q: around the -axis.

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Q: k-1 Since the series can be rewritten in the form 43 k=1 it is a geometric series with: 4/7 4/7 Give...

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Q: Given the differential equation -2y" + 16y= 0 Determine the Characteristic Equation for the differen...

A: Topic:- differential equations

Q: Solve the following differential equation using appropriate method. 2ydx = 3xdy ,when x = 2, y = 1 a...

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Q: Find the area of the surface generated by revolving the curve - 5x y = e x > 0

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Q: dx ト メ

A: Method of substitution is used 

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-8,15). Find ...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 2 7k-1 k=1

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Q: Hw. Find dw and dw for the following functions w=e sincXty}

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Q: 2. Tell the continuity of the function 4x - 2, f(x) =-2x +5. x> 2 a.) llustrate the graph b.) Evalua...

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Q: How did he get the value inside the circle? (C 579 Sin ($/4)

A: Gamma(z) •Gamma(1-z) =π/sinπz Replacing z by 1/4

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the const x2 – ...

A: ∫f'(x)f(x) dx =lnfx+C ∫ax+bn dx =1a.ax+bn+1n+1+C ∫1x2+a2 dx =1atan-1xa+C

Q: 3 dx (x2–1)2

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Q: 2 x-6 = 1/8

A: Given:   2x-6  =18

Q: For the next three questions, consider the differential equation: y" - 2y + y = e arctan r 48. If th...

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Q: Given the differential equation y" + 9y' + 18y = 4 x e¬5x Determine the differential operator for th...

A: Here, the given DE is: y''+9y'+18y=4xe-5x

Q: The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate o...

A: Here we have, The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasi...

Q: Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as...

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Q: Given the differential equation 213y" – xy' – 20y = 0 Determine the General Solution for the differe...

A: see below the answer and explanation

Q: Find the area of the region bounded by 5x, y = 125x, r = -5, x 5 %3D %3D Give your answer to the nea...

A: This question is based on application of integration.

Q: Please solve 1,3,7 by using partial fraction example on the picture

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one. ...

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4  

Q: Hw Find and dw we cosh' (cot( 4- Ws

A: Since you are asking multiple questions. We are answering only the first question as per our guideli...

Q: ind all horizontal and vertical asymptotes (if any). (if an answer does not exist, enter DNE.) t(x)...

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Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug i...

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Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: Find dw for the following functions and dw e 2- X+ツ

A: This question can be solved using the concepts of partial derivatives.

Q: Q.2\ The series E is n(1+ln(n))

A: ∑n=1∞1n1+lnn

Q: Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.   ...

A: Increasing and Decreasing functions : If f'(x)>0 for every x on some interval ,then f(x) is incr...

Q: 12. lim [(x 5) - 3x] isOHOAHOH 3OH2 UA a. lim (x 5) + lim 3x IROCORO b. lim (x- C. X-5- lim 3x X-a -...

A: 12)limx→a[(x-5)-3x] = limx→a(x-5)-limx→a3x13) limx→1x2-2x-3x-2=12-2.1-31-2limx→1x2-2x-3x-2=1-2-3-1li...

Q: Total cost is C = 9000 + 4.55q and total revenue is R = 5.30q, both in dollars, where q represents t...

A: Since you have asked multiple part question, we will solve the first 3 part question for you as per ...

Q: V5 + 12x – 9x²dx

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Q: Use the given point on the unit circle to find the values of the sine and cosine of t. (0.111, 0.994...

A: Given query is to find the value of sine and cosine function.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Given Series ∑k=1∞-27k