Let C1 be the part of the exponential curve y = πe^x where 0 ≤ x...

Let C1 be the part of the exponential curve y = πe^x where 0 ≤ x ≤ 1. Let C2 be the line segment between (1, πe) and (π, 2π). If C is the union of these two curves, oriented from left to right, find the work done by the force field

F = <sin(x)e^ cos(x) +y 2 , 2xy−2 sin(y) cos(y)> as a particle moves along C

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Let X, Y be independent exponential random variables with mean one. Show that X/(X + Y...

Let X, Y be independent exponential random variables with mean one. Show that X/(X + Y ) is uniformly distributed on [0, 1]. (Please solve it with clear explanations so that I can learn it. I will give thumbs up.)

Let X be an exponential distribution with mean=1, i.e. f(x)=e^-x for 0<X< ∞, and 0 elsewhere....

Let X be an exponential distribution with mean=1, i.e. f(x)=e^-x for 0<X< ∞, and 0 elsewhere. Find the density function and cdf of a) X^1/2 b)X=e^x c)X=1/X Which of the random variables-X, X^1/2, e^x, 1/X does not have a finite mean?

Let f (x, y) = c, 0 ≤ y ≤ 4, y ≤ x ≤ y...

Let f (x, y) = c, 0 ≤ y ≤ 4, y ≤ x ≤ y + 1, be the joint pdf of X and Y. (a) (3 pts) Find c and sketch the region for which f (x, y) > 0. (b) (3 pts) Find fX(x), the marginal pdf of X. (c) (3 pts) Find fY(y), the marginal pdf of Y. (d) (3 pts) Find P(X ≤ 3 − Y). (e) (4 pts) E(X) and Var(X). (f) (4 pts) E(Y)...

. Let x, y ∈ R \ {0}. Prove that if x < x^(−1) < y...

. Let x, y ∈ R \ {0}. Prove that if x < x^(−1) < y < y^(−1) then x < −1.

Let X~BIN(40,0.1). Let Y=max(0,x-3). FindE[Y].

Let the joint p.d.f f(x,y) = 1 for 0 <= x <= 2, 0 <= y...

Let the joint p.d.f f(x,y) = 1 for 0 <= x <= 2, 0 <= y <= 1, 2*y <= x. (And 0 otherwise) Let the random variable W = X + Y. Without knowing the p.d.f of W, what interval of w values holds at least 60% of the probability?

Let X and Y be random variables. Suppose P(X = 0, Y = 0) = .1,...

Let X and Y be random variables. Suppose P(X = 0, Y = 0) = .1, P(X = 1, Y = 0) = .3, P(X = 2, Y = 0) = .2 P(X = 0, Y = 1) = .2, P(X = 1, Y = 1) = .2, P(X = 2, Y = 1) = 0. a. Determine E(X) and E(Y ). b. Find Cov(X, Y ) c. Find Cov(2X + 3Y, Y ).

1 Let f(x, y) = 4xy, 0 < x < 1, 0 < y < 1,...

1 Let f(x, y) = 4xy, 0 < x < 1, 0 < y < 1, zero elsewhere, be the joint probability density function(pdf) of X and Y . Find P(0 < X < 1/2 , 1/4 < Y < 1) , P(X = Y ), and P(X < Y ). Notice that P(X = Y ) would be the volume under the surface f(x, y) = 4xy and above the line segment 0 < x = y < 1...

Let X be a exponential random variable with pdf f(x) = λe−λx for x > 0,...

Let X be a exponential random variable with pdf f(x) = λe−λx for x > 0, and cumulative distribution function F(x). (a) Show that F(x) = 1−e −λx for x > 0, and show that this function satisfies the requirements of a cdf (state what these are, and show that they are met). [4 marks] (b) Draw f(x) and F(x) in separate graphs. Define, and identify F(x) in the graph of f(x), and vice versa. [Hint: write the mathematical relationships,...

1. Let Q1=y(1.1), Q2=y(1.2), Q3=y(1.3) where y=y(x) solves y′′−2y′+ 5y= 0, y(0) = 1, y′(0) =...

1. Let Q1=y(1.1), Q2=y(1.2), Q3=y(1.3) where y=y(x) solves y′′−2y′+ 5y= 0, y(0) = 1, y′(0) = 2. 2. Let Q1=y(1.1), Q2=y(1.2) , Q3=y(1.3) where y=y(x) solves y′′−2y′+ 5y=e^x cos(2x) , y(0) = 1, y′(0) = 2 Let Q= ln(3 +|Q1|+ 2|Q2|+ 3|Q3|). Then T= 5 sin2(100Q) Please show all steps and thank you!!!!!

Subjects