B- Find the area of the ellipse resulting from the intersection of the plane x+y+z=6 with the cylinder x² + y² = 1

Q: 10. Prove the following change of variables formula: Let p be a real-valued differentiable function…

A: Introduction: The department of calculus wherein we look at integrals and their houses is called…

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and inside…

A: (a) Volume of a solid in cartesian coordinate is given by V=∫∫A z2-z1 dy dxwhere A is projection of…

Q: create 2 sample word problems of partial fraction decomposition with solutions

A: We have to create two sample word problems of partial fraction.

Q: Σ n=1 2n +1 3n

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Let X be a set. Let P be a set of subsets of X such that: • if A and B are distinct elements of P,…

A: This is a problem of set and Relation.

Q: QUESTION 3 Let f= (17624) and g = (15632 7) be permutations in S7, written in cycle notation. What…

A:

Q: 2. An observers watches a plane approach at a speed of 600 mi/hr and at an altitude of 4 miles. At…

A: To see what's going on, we first draw a schematic representation of the situation, as in figure…

Q: prove that

A: Introduction: Mathematical induction is a mathematical technique for proving that a statement,…

Q: Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the…

A: We have to find an approximate the volume of the solid in the first octant bounded by the sphere…

Q: QUESTION 2 Let S be the following relation on C: S = {(x, y) = C²:y-x is real}. Prove that S is an…

A:

Q: A continuous-time signal, x(t), has a Fourier transform denoted by X (w), and is expressed as: 0,…

A: Using the definition of Fourier Transform we know that X(w)=∫-∞∞x(t)×e-iwtdt

Q: Set up a sum of definite integral(s) that is equal to the volume of the solid whose base is R and…

A:

Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² c. T(l,g) = 2π b. z = x siny - y…

A:

Q: Let C be the curve of intersection of the paraboloid a² + y² = z and the cylinder +(y-1)² = 1 (a)…

A: Given that C is the curve of intersection of the paraboloid x2 + y2 = z and the cylinder x24 + y -…

Q: Solve for the order of each of the following: a. 1-i√3 under usual multiplication b. 5 in Zs under…

A: "Since you have posted a question with multisubparts, we will solve the first three subpart for you.…

Q: The characteristic equation for a 5th​ degree, homogeneous, constant coefficient DE is​…

A:

Q: Find the solution: 4. y""+y" + 2y' = 3 y(0) = 1 y'(0) = 1 y″(0) = 1

A:

Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Solution: Given , Perimeter=80cm square of side=2cm

Q: 4. Find the inverse z-transform of (z-a)(z-b)(z-c)

A:

Q: Consider a point in Cartesian coordinates given by (3√3, -3, -8). (a) Find a corresponding…

A: conversion formula from cartesian (x, y, z) to cylindrical coordinates (r, θ, z) r2=x2+y2tanθ=yxz=z…

Q: lim x-0 at + b³ + c³²\2/x 3

A: limx → 0 ax + bx + cx32x We need to find limit as x tends to 0. Here , apply exponent rule , eln(c)…

Q: For each of the following functions, apply the properties of functions to describe its domain and…

A:

Q: 3. Solve the difference equation by using Z-transform Yk+22Yk+1+Yk = Uk, (k > 0) with yo = y₁ = 0,…

A:

Q: The graph of f is shown in Figure 1. YA 1 f

A: Taylor Series of f centered at x=a fx=fa+f'ax-a+f''ax-a22!+.........

Q: P.1. Determine the moment of inertia of the shaded area about the x and y axes. y=x² 2 m 2 m

A:

Q: Problem 3: 1.4 [x²exdx, n=6 0.2 actual value: 0.3307076 Evaluate the integral using the composite…

A: Simpson's 13 rule can be defined as ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn),…

Q: n(x+3)" 5" Analyze the behaviour of the power series n=0 and techniques. by using appropriate…

A: A power series is an infinite series with the representation ∑n=0∞ anx-cn, where an is the…

Q: 5. Evaluate the following integrals: cos(x) dx dy 4y -1²-y² (b) ff 2-y² dy dx (Hint: Use polar…

A: Some of the properties of integration  ∫cosx dx=-sinx+C∫f(g(x))g'(x)dx=∫f(t)dt∫eaxdx=eaxa+C

Q: Instructions Solve the two problems below. The first problem will utilize rules of replacement to…

A: Note that you have explicitly written on the top of your question post that you want only Question 2…

Q: On: A IS tor while A is a scalar. |A|. If A B < 0, then the (smaller) angle between the vectors A…

A:

Q: The table shown below gives the number of radioactive nuclei in a radioactive sample over a period…

A:

Q: find dy dx 4X y = e sinx XCOSX

A:

Q: Determine the time required for the bacteria concentration to be reduced to 5 using Newton's method.…

A: As per the question we are given the equation for the bacteria concentration c as a function of time…

Q: Q₁ /Find x, y E R for: -i+1 2-i c) √

A: To find x, and y for the below complex number. −i+12−i

Q: The following are pen-tracing puzzles. For each shape, can you find a way to trace the shape without…

A: We need to determine if we can trace the given curve without repeating the same line twice. We can…

Q: speed and average PROBLEM 1: An Olympic swimmer swims 50 m in 23.1 secs. What is his average speed?

A:

Q: What is the second line of f in two-line notation? Enter it as a list of numbers separated by single…

A:

Q: dx 13. / 2√²²2-1 x > 1

A:

Q: How many 10-bit strings begin with "101" or "00"?

A:

Q: -1²- 5. Evaluate the integral e dV, where E is the region between two cylinders z²+z² = 4 E and 2²…

A:

Q: Evaluate the following integrals: 1³ L (a) S cos(x) dx dy 4y (b) p== e-²-y² dy dx (Hint: Use polar…

A:

Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Any point in…

Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₂ + x₂ +5x₂ = 5 is ?. a)…

A: The number of degenerate basic solution of the system is nCm. So 3C2 which is 3!/2!

Q: Consider the cylinder x² + y² = 1, and let S₁ be the part of the cylinder that lies between the…

A: The given surface is S=S1∪S2, where S1 is the part of the cylinder x2+y2=1 that lies between the…

Q: - The differential equation 1 d x² dr d (2²²) + v +y=0 has the solution y sin (a) Write down the…

A:

Q: Tammy is golfing. She wants to drive her ball from the tee to the hole that lies due east. However,…

A: during the first shot, she wants to drive the ball into the hole,with velocity v1 let the velocity…

Q: 8. (a) Show that the intersection of finitely many open sets is open.

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: -3 5 1 6 2 -2 -5][1 -7 X₂ 9. [X3 - 4 -8 -10

A: Given ,                                                     -3   5-5    1   6-7   2-2  9x1x2x3 =…

Q: Note : My ID = 21160 1. Convert last 5 digits of your ID to binary number and hexadecimal number.

A:

Q: Find the Laplace transform of the following: 1. y" + 2y' + 5y = t cos(5t) - 6, y(0) = 1, y'(0) = -2

A: To find the Laplace transform of the problem.