Find the exact length of the curve. v= In(1 – x²). y 0

Q: (use Loug division) | 2x'.3x² +Yx+5 +2 2X-3X +Y x +5

A: Given query is to perform long division.

Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of ...

A: The given cost function is: C(x)=x3-4x2+8x+50, x>0 where x is quantity.

Q: Compute the flux of the vector field F = 3xzi + 5yk through the surface S, which is the hemisphere x...

A: The flux is given byflux =∫S  F→·n^  dShere,n^=x, y, zx2+y2+z2 in spherical coordinatesF→·n^ =x, y, ...

Q: (2x-y²)² (x,y) + (0,0) Let f(x,y) = x²+y4 2, (x, y) = (0,0) Find the slope of the tangent line to th...

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Q: Given f(x,y) = eX cos y, Evaluate fy(2,0) O cos 2 O sin 2

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Q: Which of the following functions is differentiable for all values of x? a. flx) = 2r° + 5x? b. f(x) ...

A: Function which is differentiable for every value of x is

Q: The where c Is a constant, is equal toC 7. If y = 6e5, then y' = 30e*. The derivative of a product w...

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Q: A- Use the fixed point and Newton-Raphson methods to estimate the root of the function, employing to...

A: We have to find Root of the function by both methods. 

Q: Find F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at ...

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Q: b) y = -2x2

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Q: We have  P(t) =  7000 1 + 24e−kt. Since P(1) = 840, then 1 + 24e−k = ____ , and so ek =

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Q: Evaluate the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphere of r...

A: We have to find the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphe...

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: A given partial fraction Cx +D x² +1 2x A + X+4 (x-1)(x+4)(x² +1) X-a A can be evaluated as: O 15 2/...

A: Given that partial fraction 2xx-1x+4x2+1=Ax-1+Bx+4+Cx+Dx2+1To find : value of ASolution:2xx-1x+4x2+1...

Q: y' +y = -x®y5 will be transformed to the following 8.

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation ...

Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = ...

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Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: St Joseph's church has a fund-raising valentine's dinner  to renovate their church.   Their account...

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Q: 2x +1 2x – 3 xp: A (4x - 3) 2+ (2-– 3) +c B D

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Q: (a) Show that every member of the family of functions y = 6 In(x) + C is a solution of the different...

A: solution is given below

Q: Consider the function defined by f(x) = In(2a +1). %3D 1. Determine its Maclaurin series expansion. ...

A: Given that the function is fx=ln2x+1. 1) It is required to find the Maclaurin series of fx=ln2x+1. I...

Q: - If y = (2x + 7)², then what is ? dx dy a. 2(2x + 7) dx = 2 %D b. dx 4x 8x + 28 dx e. If y = (2x2 -...

A: NOTE: Refresh your page if you can't see any equations. . take derivative ...............option...

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x ...

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer...

Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y = ...

A: As per the company  guidelines we have to solv first 3 subparts if suborats are not mentioned  So fo...

Q: Find the slope of the line through (-1, -1) and (-1, 3). undefined -1/2 0 -4

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Q: Period: f(x) Vertical Shift: Horizontal Shift_ Start: End: Increments:

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: (-2) = –3, g'(-2) = 6, (f g)'(-2) = 15. Find g(-2) %3D

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Q: Find the area inside the curve r = a(1+sin theta) and outside the curve (r =a sin theta). 6:01 PM

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Q: a. Use the definition m,an = lim f(x) - f(a) to find the slope of the line tangent to the graph of f...

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. In n Σ n + ...

A: Given :∑ n=2∞ln nn+3

Q: 11 Which of the following is a factor of 2x3 + x2 - 2x – 1. x + 2 2 x – 1 x – 2 2 x + 1

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Q: Evaluate the following integrals. Express your answer in simplest form. Box your final answer. dx 5....

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

Q: tanwdw The is equal to 1 – tan?w A. In (Vsec2w) + C B. In (Vsec2w) +C C. In (Vsec2w) + C D. In (Vtan...

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

A: NOTE: Refresh your page if you can't see any equations. . here we have 

Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10, ...

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve tha...

Q: A function y(t) satisfies the differential equation dy =y4-5y3+ 6y2. dt (a) What are the constant so...

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Q: (1) d?y + 2y = 0 y(0) = 3; dy (at x = 0) = 2 dx? dp, dx d2v dy ....

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Q: Let m(t) be a function with the values given in the table below. t 1 2 3 m(t) | 100 | 1600 | 25600 |...

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Q: Directions: Evaluate the following. Show ALL necessary solutions. x³+2x²-1 1. lim x--2 5-3x 2. lim v...

A: In this question we have to find the limits. Note: As per our policy we are suppose to do only 1st t...

Q: Question 2 tan (0) Insec(0) do A -Incos (0) + C 2 B - (Insin(@)) ² + C - (Intan( @)) ² + C D (Insec(...

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Q: f(x+h)-f(x) determine the derivative/ slope of tangent for = lim h→0 h -1 2x 5a) Using the formula M...

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Q: Ve dx is convergent or Determine if divergent. Evaluate if convergent. x2

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Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: dx 2- Find dy of y = /cos-1(In (xy)) y %3D

A: Given: - The function is, y=cos-1(ln(xy))xy To find: - The derivative of the function, dxdy

Q: Without solving the equation, determine the discriminant and the nature of the roots. x 2 + 7x - ...

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Q: dy Find by implicit differentiation. dx 7x2 + 3xy – y? = 9 dy dx

A: Differentiation of the above function is

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = V x8 + 5 y'(x) = %...

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Q: Name the amplitude and period of y = 2sec3x 371 Amplitude: 3, Period: 2 271 Amplitude: 2, Period: 3 ...

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