What is the position function?

Q: Evaluate f x+3 x3+27 dx.

A: Our Aim is to evaluate the integral given below:-∫x3+27x+3dx -(i)

Q: 4. Find the linear approximation for f (x,y) at the point P(2,-5). Use this to %3D estimate f(2.05, ...

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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: Solve the differential equation y' = e4Y sin(5x) and choose the correct answer from the following op...

A: Given:- y'=e4y sin(5x)  To find:- General solution of given differential equation

Q: The slope of a curve is given as (2x + b and has a value of at 16 2x3 x = 2. What is the value of y ...

A: Given slope of curve dydx=2x+b+12x3

Q: Find the value of k so that the value of f,"(2y – 1) dy is 10. 1 2 4 A) в B) c A D) D 3.

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Q: In 2018, the population of a town was 20, 693 and growing at the constant rate of 56 people per year...

A: Given, Population of town in 2008= 20693 Rate of growth= 56 people/year  

Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

Q: In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 6...

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Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward. Conc...

Q: 00 1tetz Calculate the integral, if it converges. If it diverges, enter diverges for your answer. i ...

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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: Choose the correct graph of y = 3 cos 3x, 0 < x< 2 T: 1 3 27 -1 -2

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Q: a. lim f(x) = x→∞ Preview b. lim f(x) = Preview с. x→-7 lim_f(x) =

A: The given function is: f(x)=-(5x+3)2(x-1)(x+7)2(5x+3)

Q: The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

A: Given ∫49-xa+13xdx = -1112we know that∫xn dx = xn+1n+1 + C

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in ga...

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Q: If f(-2) = 2, write an ordered pair that must be on the graph of y = f(r + 4) – 3

A: Ordered pair represents the position of a point. X axis represents the left or right position , if l...

Q: A company’s total sales (in millions of dollars) t months from now are given by S(t) = 3 + √t  a. Fi...

A: Given s(t) = 3+tinstantaneous rate of change is given by     R = ds(t)dt

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: dx What should be the rewrite of the integrand of f so that the resulting integral is integrable? 1+...

A: We have to find integrand 

Q: dy Find if dx y = 7u + 2 and u = 9x-3. dy dx Enter your ar

A: Given:    f(x) = 7u + 2       u = 9x - 3

Q: 8- 6- 4- 2. The graph of f(x) is shown in red. Draw the graph of g(x) = - f(x). -8 -7 -6 -4 -3 -2 Ma...

A: The graph of the equation f(x) is given , find the graph of  1) g(x)= -f(x)  2) g(x)= f(x)-3 .

Q: 2 dx

A: Solve by integral given this integral

Q: pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30...

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Q: The functions 7(t) = (cos t, sin t) and R(t) = (cos(t²), sin(t²)) generate the same set of (x, y, z)...

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Q: y = 3x² – 1 from x = 0 to x = 1 . 3. Find the exact arc length of the curve

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Q: he voltage for alternating current is modeled by the function (t) inimum voltage for this model? 231...

A: Given query is to find the minimum voltage.

Q: Evaluate each expression. (a) (20b)° (b) 206° (a) (20b)0 = (Simplify your answer. Type an integer or...

A: Given:- (20b)0  20b0 To find:- Evaluate above given expression

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

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Q: 1. (5 points) Given the equation of a circle 2x2 + 2y2-32x + 12y + 90 = 0 Rewrite it in the standard...

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Q: d (x- 7)4 81. dx 3 2x

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Q: valuate 10-Vx a. lim x→100 x-100 b. lim (-2x+4)²–4 1 c. lim *+2 5 x→3 x-3 X-3 3-x

A: Given that:                            

Q: Let f(x, y, z) = 5x³ – y + z?. Find the maximum value M for the directional derivative at the point ...

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Q: Find the domain and range of the function. Use a graphing utility to verify your results. (Enter you...

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Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

A: To determine:

Q: What is the maximum value of y = cos x. For - < x < < ?? 1 1/2 2.

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Q: g(x) = 2f(1 – x) +3. find a correct order of the following ransformation: reflection in the y axis h...

A: Given query is to find the transformation applied.

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. . l=length of the rectangle w=width of the r...

Q: Find the indicated integral (if it exists) / e bx dx e12z +1

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Q: Find the value of k so that the value of f, (2y – 1) dy is 10. а. 1 b. 2 с. 3 d. 4

A: Given:      ∫2k 2y-1dy = 10

Q: Find an example of the function such that the limit exists at every x, but has an infinite number of...

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Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term (...

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two equatio...

Q: Evaluate. tan

A: Given,            tan7π6

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: Evaluate the integral fw(2w +3)² dw A.) w+4w3+w² + C B.) w+2w3+9w² + C C.) w2(w²+4w+9/2) + C D.) 2w ...

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Q: Using the disk method, determine the volume of a solid formed by revolving the region bounded above ...

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Q: x?+2 x2+1 1. What is an antiderivative of a. x + arctan x- 5 b. x+ arccot x c. 2x + 3 d. x + 2arctan...

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Q: Š F(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find ſ f(x)dx. If %3D а. — 2 b. 2 с. -3 d. 3

A: Topic:- integration

Q: d.x Evaluate V3 – x dx Evaluate 3

A: Given that: ∫23dx3-x∫09dxx-13

Q: Question 12 dy If dx and y = when x = 1, find y(2). %3D V3x-2 2 (A) 27 40 B) 27 27 26 27

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