3) Calculate the volume of a solid obtained by rotating the region bounded by: (Any method) y = x-x² y = 0 about the line x = 2
Q: In In = (a) Prove the reduction formulae 1 -- sinn-1 x cos x + n (HINT: Use integration by parts…
A:
Q: Q7. Find the Laplace transform of the periodic function f(t)= sin at for 0<t<¹ 0 for T @ -<t< @ 2π @
A: Sol:-
Q: suppose we have f: A->B a one to one and onto function so that function has an inverse, suppose we…
A: Function which is one to one and onto
Q: Q7. Using Simpson's Rule evaluate the integral (√x+1) dx using 8 subintervals.
A: In this question, we have to evaluate the integral ∫08x+1dx using 8 subintervals by Simpson's Rule.
Q: √x+9 at x = 0. Write your answer in the form a+bx+cnxn n=2 where a, b, and each cn are constants.…
A:
Q: Q. No. 1. Find two consecutive positive numbers such that sum of their squares is equal 221. Q.…
A:
Q: The equation for the sinusoidal graph below is: f(x) = 4sin(2x) 3sion (2) 1 f(x) = 3sin f(x)=2sin…
A: Given is a sinusoidal graph. To Choose: The correct equation for the sinusoidal graph
Q: 6. Given the final tableau (after deleting the columns of the artificial variables) for phase 1 of…
A:
Q: Question 2 For each of the following sets S, give numbers a € R and r> 0, if applicable, such that S…
A:
Q: 2- If L(x, y) = ax + by2 is a Lyapunov function at the origin for the system * = y + x³, y = -x +…
A: According to guidelines we have to solve only one question.
Q: Write a [0.1]X[0.1] mapping to the tire surface .give a example.
A: Given That : [0.1]X[0.1] To find : write [0.1]X[0.1] mapping to the tire surface also give a…
Q: 3. Let A [1.1 -0.1] [0.3 0.7 0.7] Is matrix A invertible? How do you know?
A: An invertible matric is a matrix for which matrix inversion operation exists . A matrix is said to…
Q: Let p ∈ R, and ε > 0. Using The Density theorem, show that B(p, ε) ∩ Q contains at least two…
A: Introduction: The density property is a very significant property of the field of real numbers.…
Q: π/3 0 sin x dx (1+cosx)?
A:
Q: 15. Consider the directed graph below VI (a) Find the corresponding adjacent matrix A; (b) Find A².…
A:
Q: Using the error propagation in formulas, determine the range in the computation of a volume of a…
A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…
Q: Find the solution to the recurrence relation an = an 5an-1 + 6an-2 with initial terms ao = 3 and a₁…
A:
Q: How many permutations of the letters "EXAM" are there? Discrete math
A: Introduction: Permutation is the different arrangements of certain number of objects. The…
Q: 29. Consider the function f: R² →R: (x,y) → f(x,y) = g( Determine the gradient of f. 1 1 2x - 2y g(1…
A: Please check the next step for details.
Q: Mr. Johnson invested R25 000 at a rate of 9,95% p.a. compounded quarterly. How long will it take for…
A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…
Q: Solve the following limits including the complete procedure and the result for each of them. IN…
A: We have to solve the following limit. b) limx→∞ 1-3xx+5
Q: Show that L{cos at} = S s² + a² Hence find L{sin 8t sin 6t}.
A:
Q: Find the values of the circular directions for all sides of the polygon in the first question if you…
A: Given: A polygon whose circular direction of the side AB is 306°30'. The gives internal angles of…
Q: Suppose that the acceleration vector is a(t) = (e²t + 2t, e²t – 3,0) and also that the velocity…
A:
Q: (1-x²¹) 22-x-x+ x + 2y = 0. d²y dy dx² dx Ay
A: Given : 1-x2d2ydx2-xdydx+λy=0 To Find : write given equation in form of Sturm-Liouville problem
Q: hc λ = En 1 n 2 1 n₁ 2
A: We need to linearize the equation: hcλ=Eh1nf2-1ni2. Here, λ, ni are y, x variables, respectively.
Q: 1. Given a circle of radius a, find by integration using polar coordinates (a) its area; (b) the…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: 5. Consider the following mixed-integer linear program: Max 2x₁ + 3x₂ s.t. 4x₁ + 9x₂ = 36 7x₂ + 5x₂…
A: Part(a)
Q: Identify the key steps needed to prove that a sequence , CR converges to ER in the limit n → ∞.…
A:
Q: Consider the function f(x, y) = sin(ry), 0≤x≤n, 0≤ y ≤ 1. • find local maximum and minimum if they…
A: Given: The function is fx,y=sinxy where 0≤x≤π and 0≤y≤1. To find: (a) The local maxima and the local…
Q: For j=4, solve for the f(w, 8), and for any given initial values (ONLY assumed by you) using the…
A: Given: The function is fω, δ=e-jωδ-δ3. To find: The value of fω,δ at j=4 by using any bisection…
Q: XP (A y dx + B x dy) + y (Cy dx + D x dy) = 0 where AD-BC # 0. xmyn,
A: Introduction: Integrating factor is related to first order ordinary differential equation. We…
Q: A Ferris wheel has a diameter of 70 m, with a minimum height of 8 m above the ground. It takes 20…
A: The diameter of the wheel is 70m. The minimum height above the ground is 8m. The complete rotation…
Q: Determine the Fourier series for the function defined below: f(x) = 2x in the range x = 0 to x = 2pi…
A:
Q: Instructions: Please enter the entries of the resulting matrix into the provided fields; no spaces,…
A: Given matrix is A=102-1100-2y0 Since we know that the inverse of matrix A-1=1AadjA Here A is the…
Q: 1. Find the laplace transform of the following equation i. f(t) = t sin 3t ii. f(t) = t iii. f(t) =…
A: Solution
Q: Prove that for all sets A and B and nEZ, n ≥ 1, the following holds: 72 11 (a) U(A\B) = (UA) \ B;…
A:
Q: Q.No.3. If 20 men make 14 tables in 10 hours. How long will it take 12 men to make 40 tables? Q. No.…
A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Determine all reversible elements in the rings P[x] and P[[x]].
A: Given: The rings Px and Px. To find: The reversible elements in both the rings. A number's digits…
Q: 3. Let R be the region bounded by the curves C₁ : y − 3 = −2(x − 1)², C₂ : x + y = 4, and C3 : y =…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: True or False: Note: explaining your answer can either include a counterexample, a diagram, or a…
A:
Q: 5. Let f(x,y) = x² + xy + y² be a function on the domain D = {(x,y) € R²: 24+ y ≤8 and y ≥ 9}. a)…
A: a) Given that fx,y=x2+xy+y2 First, find critical points. fx=2x+yfy=x+2y So,…
Q: Find the radius of convergence, R, of the following series. R = Σn!(3x - 1)^ n = 1 Find the…
A:
Q: 6) Using gamma function, evaluate So 6 хе 2x dx
A: Introduction: Gamma function is an integral function that is defined through an integration. The…
Q: The function g( x ) = π + 0.5sin(x/2 ) has a unique fixed point on [0 , 2π]. Estimate number of…
A: Introduction: There are many iterative methods that are followed to approximate the solution of…
Q: Set up and evaluate the integral needed to find the exact volume V of the solid whose base is in the…
A:
Q: . If you were to graph two quadratic functions on the same xy-plane, how many intersection points…
A: Given: Two quadratic equation. The given demand function is fx=0.02x-1002 and the given supply…
Q: Suppose that A = a= b [0 a has eigenvalues -3 and 3. What are the values of a and b?
A: We have A=0a1b We find the eigen value by putting A-λI=0 Here, I=1001 Consider:…
Q: Let R be the shaded region bounded between the curves y = x^1/3 (equivalently y^3= x) and 4y= x…
A:
Q: understand how
A: Please cheek the answers in next step. This is a follow up question.
Step by step
Solved in 6 steps with 1 images
- Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axisFind the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed when the region bounded in Quadrant I by the axes and the lines x = 9 and y = 5 is revolved about the a) x-axis b) y-axisFor the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.