Question

find a parametrization for the curve.

1. the left half of the parabola y = x2 + 2x

2. the ray (half line) with initial point (2, 3) that passes through the point (-1, -1)

3. the ray (half line) with initial point (-1, 2) that passes through the point (0, 0)

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: How do you reindex a series? Why might you want to do this?

A: Any series can be reindexed without changing its convergence.

Q: Consider an object moving along a line with the given velocity v. Assume t is time measured in secon...

A: To determine when the motion is in positive direction and when it is in the negative direction.The v...

Q: The life expectancy in years of a component in a microcomputer is exponentially dis-tributed, and 1/...

A: Click to see the answer

Q: Find parametric equations for the semicircle x2 + y2 = a2, y> 0, using as parameter the slope t =...

A: Click to see the answer

Q: Find the area between the x-axis and the curve y = sqrt(1 + cos 4x), 0<=x<= pai

A: Click to see the answer

Q: In the function: f(x)= (7x+B)/(4x+b) , with 7b>4B At which x does the function reach its local m...

A: According to the given information it is required to calculate at which x does the function reach it...

Q: Let P be an approximation of pai accurate to n decimals. Show that P + sin P gives an approximation ...

A: Substitute the value of P in |f(x)|.

Q: Solve the initial value problem and determine the interval in which the solution is valid.Hint: To...

A: Use dy/dx in place of y\\\'Then separate variables.And integrate both sides

Q: Under what circumstances will an infinite series of nonnegative terms converge? Diverge? Why study s...

A: Click to see the answer

Q: Find the length of the curve y = ln(e^x - 1) - ln(e^x + 1), ln 2<=x<= ln 3.

A: Given:

Q: Suppose the amount of oil pumped from one of the canyon wells in Whittier, California, decreases at ...

A: To determine the time (in years), the output of well fall to 1/5 of its present value.

Q: Hi, I have some homework for my calculus class that I can't figure out. I worked it out and got it w...

A: Given,

Q: Find all real solutions of the ordinary differential equations: y''+4y=x

A: The general equation of the solution is,

Q: Find the points of intersection of the following pair of curves. 29 X+5 y = ,x3 +3x2 +5, y= 9x2 - 2*...

A: Given

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h→0 (5 + h)−1 ...

A: To evaluate the limit

Q: find the Taylor series at x = 0 of the functions in Exercises 1–2. 1.ln(3+6x) 2. 5sin ( -x)

A: Consider the given question,(1)The Taylor series at x = 0 is given by,

Q: consider the equation f(x) = 2x2 - x find the average rate of change between x=3 and x=6

A: Click to see the answer

Q: The frozen remains of a young Incan woman were discovered by archeologist Johan Reinhard on Mt. Ampa...

A: Given,The Body of the woman is found in year 1995.

Q: y′=−4t/y,y(0)=y0

A: Plug y'= dy/dtThen separate the variables.

Q: In the function: f(x)= 6/((x^2)-16) What are the critical numbers of the function? When is the fu...

A: Click to see the answer

Q: Find Taylor series at x = 0 for the functions 1/1 +x^3

A: Calculate the Taylor series for the function.Provide the function as shown below:

Q: What is a power series? How do you test a power series for con-vergence? What are the possible outco...

A: Click to see the answer

Q: (9x2+y−1)−(4y−x)y′=0,y(1)=0

A: Click to see the answer

Q: y′+2y=te−2t,y(1)=0

A: Click to see the answer

Q: 1 +(x/y − sin y)y′ = 0

A: 1 +(x/y − sin y)y′ = 01 +(x/y − sin y)dy/dx = 0dx +(x/y − sin y)dy = 0Here M(x,y) = 1 and N(x,y) = (...

Q: Find the area of the surface generated by revolving the curve y = sqrt(x2 + 2), 0 <=x<=sqrt(2)...

A: find dy/dx and solve for ds.

Q: Use the Euler method with dx = 0.2 to estimate y(2) if y′ = y/x and y(1) = 2. What is the exact valu...

A: Consider the provided differential equation with given condition,

Q: I just need #20

A: Given,

Q: y′=5−3√y

A: Consider the given differential equation.

Q: In the function: f(x)= (3x^2)ln(x) , x>0 What are the critical numbers of the function?

A: Given function is

Q: Obtain the Taylor series for 1/(1 + x)2 from the series for -1/(1 + x).

A: Recall the following fact.

Q: In Exercises 13–18, solve for y. 13. 3^y = 2^(y+1) 14. 9e^2y = x^2 15. ln ( y - 1) = x + ln y 16. 4^...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: What roles do the functions ex and ln x play in growth comparisons?

A: Given:

Q: The functions ƒ(x) = ln 5x and g(x) = ln 3x differ by a constant. What constant? Give reasons for yo...

A: Given functions are

Q: what is the left and right endpoint Riemann sum for f(x)= (x^2)/11 on the interval [2,6]?

A: Given:

Q: t2y″ − 4ty′ + 4y = 0

A: given:

Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: What are the six basic hyperbolic functions? Comment on their domains, ranges, and graphs. What are ...

A: The six basic hyperbolic functions are sinh(x) , cosh(x) , tanh(x) ,csch(x) , sech(x) ,coth(x)

Q: y′=(3x2−ex)/(2y−5),y(0)

A: Given,

Q: a. Use Taylor’s formula with n = 2 to find the quadratic approximation of ƒ(x) = (1 + x)^k at x = 0 ...

A: Given:Use Taylor’s formula with n = 2 to find the quadratic approximation of ƒ(x) = (1 + x)^k at x =...

Q: Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 - ...

A: The given function is,

Q: The temperature at which water starts to boil (its boiling point) is linearly related to the altit...

A: Let 1000x ( x times 1000) feet above sea level you need to be in order to have a boiling point of 1...

Q: The function ƒ(x) = e^x + x, being differentiable and one-to-one, has a differentiable inverse ƒ -1(...

A: Given

Q: Looking for help for all of the questions with lines next to them.

A: Since you have asked multiple questions, we will solve the first three questions for you. If you wan...

Q: A component of a spacecraft has both a main system and a backup system operating throughout a flight...

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a...

Q: If possible, solve for 3A + 2B

A: Using basic operation of multiplication and addition of matrices to solve the given expression.First...

Q: Express as a single logarithm and if possible simplify

A: Click to see the answer

Q: Use the Euler method with dx = 0.5 to estimate y(5) if y′ = y2/sqrt(x) and y(1) =-1. What is the exa...

A: Consider the formula used in Euler’s method.Also summarize the given data in the question.

Q: Express in terms of sums and differences of logarithms

A: According to the given information it is required to write the expression in terms of sum and differ...

Q: Find the average value of ƒ(x) = sqrt(x + 1)/ sqrt(x) on the interval [1, 3]

A: Given a function