Make a 1 rational equation problem involving 3 rational expressions with binomial term with solutions.

Q: Answer the questions for the function f(x) = - 3x + 3x2 - x a. Find formulas for f' (x) and f'(x). f...

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Q: y" – 3y' + 2y = 0 y(0) = y'(0) = 1

A: We want to solve using Laplace transformation.

Q: The growth of bacteria makes it necessary to time-date some food products so that they will be sold ...

A: Given query is to find the number of bacteria after indicated time.

Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect...

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of chan...

Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0, y0).y=4+2...

Q: to す x²Y- X

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Q: Find the nth Maclaurin polynomial for the function. 5x – 4 f(x) = n = 4 %3D x + 1 Pa(x) =

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Q: Find the domain of the function H(x)= 2x+3/33-4x

A: The domain of a function is the complete set of possible values of the independent variable

Q: 00 4n + 15-n Untitled n = 1 5.5 5.5 Upda Determine whether the geometric series is convergent or div...

A: Topic:- sequence and series

Q: 1D Learning Task 2: Find the slope of the given two points 1. (5,2); (2,3) 2. (0,3); (-2,5) 3. (3,5)...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

A: This question is based on Taylor series.

Q: 18. Use logarithmic differentiation to find the derivative of y with respect to the given independen...

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Q: Use the formula for the binomial series: m(m–1)---(1n–k+1), +. よ! (1 + x)" 1+ mx + m(1m–1) 2 + ... 2...

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Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

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Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 < 0 < 2n. (-4, 4) - ([ (r, ...

A: Given rectangular coordinates is (-4,4)Amplitude=x2+y2                  =(-4)2+(4)2                 ...

Q: Solve the boundary-value problem, if possible. (Assume the independent variable is x. If there is no...

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Q: d²z 2+ 3-2z = te-2t ; z(0) = 0 z'(0) = -2 dt2

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Q: The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in...

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Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"...

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Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river an...

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Q: (b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified Metho...

A: Given y'=x+yy(2)=4   , y(3)=?       h=0.2  modiefied euler method is yn+1=yn+hfxn+h2 , yn+h2f(xn ,yn...

Q: 5. 3xydx + (x2 + y?) = 0

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

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Q: From a window, the angle of elevation of the top of a flagpole is 25, and the angle of depression of...

A: upper triangle make 25' with top of flagpole so now using trigonometry use tan25 = (flagpole length ...

Q: Q: solve the equation 5 lim ( 3y+ 4x (37+*-) – x-3 x - 3

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

A: ratio test 

Q: uestion 1| a) Evaluate the average rate of change for each function over the given interval: i. f(x)...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: (5-3x^2)^7 (square root 6x^2+18-12) how would this be solved using logarithmic differentiation?

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Q: 1 and g(z) 4. f(x) = %3D

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Q: Use the formula for the binomial series: m(m-1)..(m-k+1), (1 + x)" = 1+ mx + m(m-1)2 2! ... m(m-1).....

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Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23 Continue...

A: Given:   Function equation is given

Q: Find the radius of convergence and the interval of convergence. 80 (x+ 6)* k=0 Radius of convergence...

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Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...

A: Solution is written in below steps.

Q: The solution of the Bernoulli's differential equation y + =y'x is: 1/y=-x+C (1/xy)3-x+C 1/(xy)^2 =-x...

A: The given differential equation is; y'+y/x =y2x

Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

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Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).

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Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=2 and f'(0)=3, what...

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ k! k = 1 Identify a...

A: topic- sequence and series  

Q: In a study during the 1970's, it was found that one model of legislative turnover in the country A p...

A: We have to find the continuously serving members.

Q: rt%3Dr/6 t cos(2t) dt t=D0

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Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) 19...

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Q: Compute the work required to stretch a spring from 7 to 13 cm past equilibrium, assuming that the sp...

A: Given query is to find the the work required.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k + 7 k(k +...

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Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent (-1)*+1 5k

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