Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2 n lg² (vn) , n3 ,n lg (n*), 2" n + lg(n)' n2 lg(n) + n

Q: Equation Find Given dy dx 3. y = (a) when x = 4 %3D dt dt dx dy (b) when x = 25 = 2 dt %3D dt

A: Solution: y=x 

Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

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Q: Given f(x, y) = 9xy® – 6x*y. Compute: a?f ду? ||

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Q: v(v² –1)dv 3. S v2 +1

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

A:

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

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Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 9x² –...

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Q: Which of the following trigonometric equations meets the criteria given? amplitude = 3, period = 71,...

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Q: Select the function that would represent g.

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Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ 

Q: In Problems 35-40, find f' (x) and the equation of the line tangent to the graph of f at the indicat...

A: Given query is to find the equation of tangent line.

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: The vector v=ai+bj is parallel to the line bx−ay=c. Use this fact to find an equation for the line t...

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Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a func...

A: Given:         r=cos5θ

Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: Perform the indicated operations and express your answer in decimal notation. 8.4 x 10-4 -4 8.4 x 10...

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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: 1100 462 The model for this set of velocity data is given by v(t) -0.03t . Calculating the instantan...

A: Given query is to find the instantaneous acceleration from the velocity.

Q: Suppose that f (x) has a continuous second derivative f"(x), f(2) = 4, f'(2) = –1, and / f(x) dx = 3...

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Q: If 5dx + 1 = 2, what is the value of b? 48x2 А.) 2 В.) 4 С.) 8 D.) 9 А) с B D D) A

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Q: LINEAR DIFFERENTIAL EOQUATION WITH CONSTANT COEFFICIENT (STEP BY STEP SOLUTION) d2x dx 3x = -9t² – 1...

A: The given differential equation is; 2d2x/dt2 - 5dx/dt -3x =-9t2-1. t=0,x=1,dx/dt=0.

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

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Q: = kx³y? - ? %3D What is the value for k when DE is an exact equation? (2x* + sine(y)) dx -2 4 -4

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Q: (2x+5)² 19. What should be the rewrite of the integrand of S -dx so that the resulting integral is x...

A: Given query is to rewrite the integrand in integrable manner.

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

A: When a object is shot upward (vertically) , its obtained height is given by                   H = (u...

Q: 25. A 10-foot ladder is placed against a vertical wall. Suppose that the bottom of the ladder slides...

A: Given :-  dx/dt= 3feet/sec  Ladder height= 10feet  Find rate at which ladder is sliding down from th...

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

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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: Sm(e*)dx = 6? ¿9 =: What is the value of a so that A.) 0 В.) 1 C.) 2 D.) 3

A: We have to find the value of a

Q: d. lim f(x) = x→-3/5 Preview e. lim f(x) = x→1 Preview f. lim f(x)

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Q: Current Attempt in Progress Match each property (a)-(d) with one or more graphs (I)-(IV) of function...

A: Given query is to find match the graph.

Q: Find the arc length of the curve y 1 on the interval [1, 2]. %3D 4x2

A: Given:    y = x4/8 + 1/4x2   Interval : [ 1 , 2 ] 

Q: A function f is said to have a removable discontinuity at a if: is either not defined or not continu...

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Q: Which of the following trigonometric equations meets the criteria given? A = -2, period = 4, phase s...

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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: Find the average value of f (x) = cos^2 (x) on the interval [0, π]

A: Given that: f(x)=cos2x       on the interval [0, π]

Q: Perform the indicated operation. Express the answer in decimal notation. (2.6× 10?) (4× 10-6) (2.6x ...

A: This is a basic exponent problem

Q: Determine which of the following Differential Equations below would use the following general form f...

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Q: Let s = f(t) give an object's height, in feet, a seconds after it is thrown. After 3 seconds, tE fee...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

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

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Given integral I=∫3∞xe-x2dx

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: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?. 4+2...

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Q: 13

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Q: The table below shows the cost, C, of selling x cups of coffee per day from a cart. Determine if the...

A:

Q: Evaluate the integral f w(2w + 3)² dw A.) w4+4w3+w² + C B.) w++2w³+9w² + C C.) w²(w²+4w+9/2) + C D.)...

A:

Q: In Problems 63–68, find f' (x) and find the value(s) of x where the tangent lině is horizontal. 65. ...

A: The given function,  f(x)=x2x+52

Q: 7. To evaluate f-cos X-1 dx, the integrand can be transformed to? 1-sin? x

A: Follow the procedure given below.