Suppose that f(x, y) = xy and that C is the curve 7 (t) = (t², t³), where 0

Q: 9. What is the cross-section area of the I-beam in square mete = t = 1 cm 0.7 cm b= 10 cm h30 cm

A: The dimensions of the beam are given in the figure.To Do:We have to find the area of the…

Q: Let E denote the region bounded by the plane 2x + y+ z= 2 and the first octant. Let g(x, y, z) be a…

A: To find the limit of integration of the below integral. ∫∫E∫gx,y,zdV=∫∫∫gx,y,zdzdydx The region E is…

Q: Find dy/dx by implicit differentiation. y sin( x) = -x sin

A:

Q: Find a simple, closed form for the generating function of the sequence defined by an = n².

A:

Q: Solve the second-order equation y" + 2y' – 3y = 9x with initial condition y(0) = 0, y' (0) = 0.

A:

Q: Let C be the curve in R³ parameterized by r(t) = (sin t, 2t, cos t) for 0< t< /2. (a) Compute the…

A: See the attachment

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: How do you solve this?

A: Given the differential equation is,

Q: REMEMBER -- when all you have is a table of values, do the best you can to ESTIMATE the tangent…

A: Given:  Aim:  Basic information:  Using central difference metthodf'xn = fxn+1-fxn-12xn-xn-1

Q: 32 Which of the following substitutions lead to integrals to evaluate (1+ VI) dx ? 1. u = Va leads…

A:

Q: Assume that lim an = A, lim b, B. Show that n 00

A: Given that limn→∞an=A andlimn→∞bn=Bto showlimn→∞ max{an,bn}=max{A, B}

Q: Fill in the blank so that the following equation is true: æ dzdyda = 4

A:

Q: Horatio mixed blue paint and yellow paint to make green paint in the ratios given in the table…

A: You can assume the cups of blue paint and yellow paint as the coordinate(x,y) and find the equation…

Q: How do you solve this?

A: Given function is y=h(t)

Q: 0. How many castings of 14 cm³ can be made from a 12-ft³ block of ste O24271 339802 3048

A: The volume of the steel block is 12 ft3.To Find:The number of castings of 14 cm3 made out of the…

Q: Determine with proof if each of the following sets below is a convex set? 1 (a) {x en: x ≤r}, r> 0…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let A, BCR be two non-empty bounded sets. Assume that for every x E A, there exists y E B such that…

A:

Q: Solve the initial value problem (x² + 4)- dy + 3xy = x, y(0) = 1. dx

A: Given the differential equation,  (x2+4)dydx+ 3xy = x , y(0) = 1 (x2+4)dydx+ 3xy=x(x2+4)dydx=x -…

Q: 2) 18.49 19.9 4) 4.63 4.3 6) 10.35 10.35 8) 25.6 25.9

A: (2) 18.49 = 1849/100        19.9 = 1990/100        Since, 1849 &lt; 1990                  =&gt;…

Q: How do you solve this?

A: Sum of the three angles of a triangle = pi Two of them are B=2pi/11 and C=4pi/11To find A we…

Q: 9. Matrices can be used to send encrypted messages. Say you have a message matrix M and an…

A: Ans- (a) We can determine which encryption key was used by checking if the dimensions of the…