find the average rate of change of the function over the given interval. answer must be in radian ... pls explain the steps ty
h(t)= cot t
a) [5pi/4, 7pi/4]
b) [5pi/6, 3pi/2]
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Solve using variation of parameters.
y′′ + y = sec2(x)
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Consider F and C below.
F(x, y, z) =
2xz + y2
i + 2xy j +
x2 + 6z2
k
C: x = t2, y = t + 2, z = 3t − 1, 0 ≤ t ≤ 1
(a) Find a function f such that F = ∇f.
f(x, y, z) =
x2z+xy2+2z3+c
(b) Use part (a) to evaluate
| C |
∇f · dr along the given curve C.
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How to convert 0.987121212 (repeating) into a fraction ?
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Solve for the unknown in the following equation. (Do not round the answer. If the solution is a repeating decimal, enter the answer as a proper fraction or a mixed number )
2x+ 8+9x = 29
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Find fraction equivalents for the following decimals.
A. 0.8 (repeating .8)
B. 3.08 (repeating .08)
C. 3.08 (repeating just the 8)
D. 0.75 (repeating)
E. 0.328 (repeating)
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Find the length of the curve.
| 2 |
t i + et j + e−t k, 0 ≤ t ≤ 5
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use newtons method with value of x1=3 to approximate the root of equation to 6 decimal places x^4=4x^2+25
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The radius of the wheel on a bike is 27 inches. If the wheel is revolving at 144 revolutions per minute, what is the linear speed of the bike, in miles per hour? Round your answer to the nearest tenth, and do not include units in your answer.
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Question1: Find the interval of increase and decrease of given function
f(x)=3x^5-5x^3
f(x)=1/3 x^3-9x+2
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An object’s position above the ground, s(t), in meters, after t seconds is given by s(t) = 16t2+120t+6. (a) What is the position of the object at time t = 3 seconds? (
b) Find the velocity of the object as a function of t.
(c) Find the object’s acceleration at any time t.
(d) When is the velocity of the object 56 m/s?
(e) Find the position of the object at the time when the velocity is 56 m/s. (Hint: Use your answer from part (d).)
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39. The life in years of a certain automobile has a probability density function given by ft0.20e0.20tfor t0. Find the probability that the life of this car isa) at most 10 yearsb) at least 10 yearsc) between 5 and 10 years
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In section 2.1 you read about how we can model certain situations using linear equations. In particular, example 8 shows how you can create an equation to predict sales of a company
Pick a company whose sales you want to model and predict. Look up their sales information and pick 2 years of data. Using that information, create a linear equation that can be used to predict the sales of the company. Once you have your equation, predict the sales 2 years from now.
Make sure you include in your post the links where you found the relevant information. Clearly show your work. This includes naming the company, sharing the ordered pairs, defining variables, finding the slope, determining the equation, and then using that equation to predict.
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