By integrating all three surface elements of a cylinder, find the surface area of a cylindrical pie: R/2 sps R 1/2 ≤ ≤ 3 1/4 1szs3

Q: 9. Consider the finite region R that is bounded by the curves y = 1 + ½(x − 2)², y = 1⁄2x², and x =…

A: Given: Let us consider the given data, y=1+12x-22, y=12x2; x=0 Let's determine, a) The area of the…

Q: use the if f₁ (t) properties of Fourier transform ē at ult) = = JF.T =jº f(t) = ³wt dt e feat. ejust…

A:

Q: Can

A: We use Cauchy's Residue Theorem

Q: Solve 2xy + y = 1 with y(1) = 3

A:

Q: Describe the steps in words that you would use to show that (x - a) is a factor of xn - an. Your…

A:

Q: Exercise 11. Let f : I → R and a, b € I, a 0, f'(b) > 0 C₁ C₂ C3, f(c₂) = 0, f'(c₁) = f'(C3) = 0

A:

Q: By the Mean Value Theorem, we know there exists at least one c in the open interval (-4, 4) such…

A:

Q: Use the if f₁ (t) properties of Fourier transform ē at ult) = JFT = S flt) [³wt = feat. ejust dt…

A: Given function is f1(t)=e-atu(t)              (1) Since we know that u(t)=1,  t≥00,  t<0

Q: Let A = (0, 0, 0, 0) and let # be a binary operation from A X A to A presented by the following…

A:

Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

A:

Q: The trace of a square n x n matrix A = (a) is the sum a₁1 + a22 + ... + ann of the entries on its…

A: Let V is the vector space of all 2×2 matrices with real entries. Let H is the set of all 2×2…

Q: If FR=20, find RK and ОК theorem. Copy the diagram and mark all givens R Use paragraph proof.…

A: Here given graph as

Q: ox/2 cos 2x dx

A:

Q: How did he get the value inside the circle 2 de = H -- j ( W #1 ) ( X (Z) ē e x ( Z ) @ ²³ ( W + 1 )…

A:

Q: Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find L{f(t)}.…

A:

Q: Use the defir tion of the Laplace transform to £{f(t)} = exp(-s)/s1/s² 2/s² - exp(-s)/s 2 exp(-s)/s…

A: Given function is f(t) = -1,0≤t<11,t≥1

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A= 12 27 -1 Choose…

A:

Q: Identify the equation as separable, linear, exact, or having an integrating factor that is a…

A: Given,         2x+2ydx+2x-2ydy=0

Q: Compute the gradient of the following function and evaluate it at the given point P. g(x,y)=x² -…

A:

Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

A: Null space: The set of all the vectors x such that Ax=0 is called the null space of the matrix A. It…

Q: Determine by inspection whether the vectors are linearly independent. Justify your answer. 4 6 8 6 9…

A:

Q: Determine (F). F(s) = -26s+2 (s+1)² (s+5) Click here to view the table of Laplace transforms. Click…

A: The solution to this question is in the pictures below :-

Q: 6. A large jar contains an unknown number of red gumballs and 150 green gumballs. As part of a…

A:

Q: Find the solution of the given initial value problem: y(4) + 2y"" +y" + 8y′ − 12y = 6 sin(t) +80e¯t;…

A: We use method of undetermined coefficient.

Q: 10) Given the graph of f(x), graph g(x) = -f(x-2)-3

A:

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

A:

Q: Find the critical numbers of the function f(x) = 3x5 + 15xª At x = At x = At x = the function has a…

A:

Q: Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find £{f(t)}.…

A:

Q: 4) Prove that a linear transformation T: V → W is injective → it is surjective. Let V, W be finite…

A:

Q: For each A, B, C below, determine whether {A, B, C) is is linearly independent or linearly…

A:

Q: Solve the given DE using 3 possible solutions: x³-2y³ 3.xy-2 ||

A:

Q: Consider the solid in the first octant which is bounded from above by the paraboloid z=2-x² - y²…

A:

Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

A:

Q: 6.) State if the relation given by the following graph is a function or not and explain why or why…

A:

Q: Suppose the temperature at any point (x,y) in a steel plate is T=500-0.6x² -1.5y² where x and y are…

A: T(x, y) = 500 - 0.6x2 - 1.5y2 And given point is (8,7) That means x = 8 and y = 7 Now we will find…

Q: 2. Given that F(x, y, z) = (e, xey + e², ye²) is a conservative vector field. a. Find a potential…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Let y = sin(3x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Ay ~ = 1.2 Find the…

A: Use the following formulae, to obtain the solution. ∆y=fx+∆x-fxdy=f'xdxError…

Q: A tailor has the following materials available: 16 square yards of cotton, 11 square yards of silk,…

A:

Q: Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and…

A:

Q: Find the solution of the given initial value problem. 3y" + 66y' — 1044y = 0; y(0) 11, y'(0) = 57,…

A:

Q: (b) Find the critical points. (c) For each critical point, find the corresponding linear system.…

A: Given system is dxdt=x(-1+2.5x-0.3y-x2)dydt=y(-1.5+x) Let f(x,y)=x(-1+2.5x-0.3y-x2)g(x,y)=y(-1.5+x)…

Q: PROBLEM SOLVING: Evaluate the following integrals | 1. Jdx/(x-1) ² 2. JV (4-x) dx 3. (9-x) ¹/3 dx…

A: Since you have posted multipart question we'll do first three parts of the question. If you want any…

Q: 7) Write the quadratic function, f(x)=x²-2x-8 in vertex form and then find all of the following: a.…

A:

Q: jw)²x1 w) = - w2x/w) = 21 A (b-a) 24 (b-a) sin (bw) - sin(aw) 120)] [sin (bw) - sin(aw)

A:

Q: 7) Write the quadratic function, f(x)=x²-2x-8 in vertex form and then find all of the following: a.…

A:

Q: How did he get the 2t1 = x (zt-1) = d* value inside the circle 2 dz = , +1 j(빨(x)의 x(z) 회(豐)은 2 dz (…

A:

Q: -5-4-3 -2 -1 A 3 -1 -2 1 2 3 4 The function graphed above is: Increasing on the interval(s)…

A: Introduction: A real valued function depending upon a single variable can be decreasing or…

Q: 39. y (0, 3) C.4 D. 7 R What is the length of RL? A. 6 B. 5 L (4,0) X

A: In the given problem Length of the line is RL=5 Hence option (C) is correct.

Q: 4.8. Show that Dirichlet's function 1, if x is a rational number, { otherwise f(x) = 0, is not of a…

A: