* Limits of Polynomial, Rational, & Radical Functions Evaluate the given limits. 1. lim Vx+ 16 X-7

Q: If f(x)dx = 5, f(x)dx =2, and f f(x) dx =-1, find f(x)dx. А.) —2 В.) 2 С.) —3 D.) 3

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Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A: According to the question: It is given that dPdx=0.0006x2+10. we have to find P when x=100. Now  dPd...

Q: 20. Find the equation of the curve for which y" = x, and which through the point (1, 2) and the tang...

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Q: Find all values for the function y = EMX a solution to the DE: y" - y" – 6y' = 0 %3D

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Q: 17. Find the area enclosed by the x-axis and the curve y = -x² +9 32 s.u. а. 3 b. 18 s.u. с. 36 s.u....

A: Find the area enclosed by the x-axis and the curve y= -x2+9 

Q: Assume you are given the surface S with equation ? 9 1. 4 O Find the equation of the tangent plane t...

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Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: In Problems 17-34, find f' (x) and simplify. 17 fl .. 10 T U.2x, -2X 5. J(x) = 6e¯ 26. flr 28 (4+ 3)...

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Q: Determine the behavior of the functions defined below. Note that it is common to write g(x) → 0" to ...

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Q: Find an equation of the tangent plane at P = ( 2, 3, to the given surface. 8x? + z?e"-* = 41 (Expres...

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Q: Differentiate the following functions using the limit method: 1) y = 7x - 3x" +x– 10 2) y = ;r - 8x ...

A: We will use limit definition to find derivatives of given function. Since , we know that f'(x)=limh→...

Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: 5. Determine the equation of the curve whose tangent line at any point (x, y) is e* – sinx and passe...

A: We need to find equation of curve.

Q: rmula to the corresponding graph. 2-

A: We have to choose the correct answer from the given options according to the given information

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

A: Given:    f(x) = 10x - x2      g(x) = x    Interval: [ 3 , 5 ] 

Q: 1. find the area enclosed by the x-axis and the curve y= -x^2+9

A: The region enclosed by the x-axis and the curve y=-x2+9

Q: Find the general solution of the differential equation æyl + 2y! – (x + 2) cos (x) + y = 0 and choos...

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Q: Find the centroid of the thin plate bounded by the graphs of g(x) = x2 and f(x) = - x+ 2. Use the eq...

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Q: 1. Find the equation of the parabola given the following parameters and draw the graph of the equati...

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Q: Compute f' (x) using the limit definition. f (x) = 1 – 15x-1 (Use symbolic notation and fractions wh...

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Q: 1. S (7x³ + 4x² ) dæ

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Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: y? Assume you are given the surface S with equation p2 9. 1.

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Q: Suppose that f(1) = 5, ƒ(4) = -8, f'(1) = 4, f'(4) = -2, and f" is continuous. Find the value of | 2...

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Q: Tuition cost, T(in dollars) for part-time students at Stonewall College is given by T = 300 + 200C ,...

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Q: 59. Biophysics. In biophysics, the equation (L + m)(V+ n) = k is called the fundamental equation of ...

A: Given, (L+m)(V+n)=k Formula: d/dx (uv) =u(dv/dx)+v(du/dx)  

Q: -2. The graph of f(z) is shown in red. Draw the graph of g(z) = f( - a). Make sure to start at one o...

A: Since  you have posted multiple question as per guidelines we can solve only one question at a time ...

Q: 49. x = f(p) = 950 – 2p – 0.1p - - (A) p = 30 (B) p 50 (C) p = 70 %3D %3D

A: We will use the price demand equation at find the demand is elastic . unit elastic or inelastic.Belo...

Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: 7= - + Cle2x general solution to the DE y"=2y+x Find C1 with the given condition y (1) =1/4

A: Given DE is y''=2y+xand the general solution is yx=-x3-14+C1e2xand given condition is y1=14find C1

Q: 13. S S(x)dx = 5, f(x)dx = 2, and f f(x) dx = -1, find f(x)dx. If %3D а. —2 b. 2 С. —3 d. 3

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Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

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Q: B In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point....

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Q: Find all local extrema for the function f(x,y) = - 6x - 9xy - 4y + 72x+54y+ 6.

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Q: P(z) how might the function 9(x) Question 3: When working with rational functions of the form f (x) ...

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Q: (b) What is the average rate of change in the size of the tumor during the first two months? Round y...

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Q: Finding the work done in lifting a bucket. A 10 lb bucket attached to a rope is lifted from the grou...

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Q: What is the position function?

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Q: Given the differential equation y" + 4y' - 12y 5x e7* And the Solutions to its Characteristic Equati...

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Q: 7. Find the area enclosed by the x-axis and the curve y = -x² + 9. 32 s.u. а. b. 18 s.u. с. 36 s.u. ...

A: Area enclosed by the curve y=-x2+9.

Q: 16. 5dx If +1= 2-, what is the value of b? 4 V8x2 a.) 2 b.) 4 c.) 8 d.) 9

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Q: 1 -x' dx (6х +5)*

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

Q: Match each property (a)-(d) with one or more graphs (I)-(IV) of functions. 4. (II) 4. 4 (I) 4. (IV) ...

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Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Use energy conservation equation.

Q: Hannah buys 2 dozen roses. Of these roses, are red, and the rest are white. How many white roses doe...

A: We need to find number of white roses.

Q: dy When solving the Bernoulli DE: x - = , which of the choices is utilized for (1+x²)y substitution ...

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Q: Find the value of k so that the value of (2y – 1) dy is 10. ... 1 2 3 4 А) в В) с (c) A D

A: Find your answer below 

Q: questions

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Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =

A: We will use formula for linearization at one variable.