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there are 3 parts Chapter 8, Section 8.1, Question 014 x Your answer is incorrect. Try again. Give an equation representing the volume of the slice you would use in a Riemann sum representing the volume of the region. Then write a definite integral representing the volume of the region and evaluate it exactly. (The region is a cylinder.) 13cm co 4 cm x ΔΧ The volume of the disk is Equation Editor Common Ω Matrix db sin(a) seca) (a)...
Question 4 Determine p (x0), p (x0) and p (xo) for the given point xo if y p (x) is a solution of the given initial value problem. yx2y(six)y 0, y(0) = a0, y (0) = a Enter your answers using a , aj. Equation Editor Common Matrix II cos(a) sin(a) tan(a) a d csc(a) sec(a) cot(a) dx Jal Va va -1 sin (a) "(a) cos tan 미송 Question 4 Determine p (x0), p (x0) and p (xo) for the...
Consider the vectors x)t) t2 8t and X(2) (t) 10 (a) Compute the Wronskian of x) andx) (b) In what intervals are x'') and X㈢ linearly independent? Enter the intervals in the ascending order Equation Editor Equation Editor Common Ω Matrix Common Ω Matrix sin(a) sec(a) COR(a) asc(a) cos(a) tan(a) )三三) 읊 //d.fu. tan a sec(a) Equation Editor Equation Editor Common Ω Matrix Common Ω Matrix sec(a) esc(a) oot(a) cse(a) d z e) What conclusion can be drawn about coefficients...
Consider the following system of equations. orie 10 x = 5 la (a) Find a fundamental matrix for the given system of equations. (t) = Equation Editor Common 12 Matrix sin(a) cos(a) tan(a) seca) osca) cot(a) de lidz jjar vayalal U s in(a) cos(@) tana ) (b) Find the fundamental matrix (t) satisfying • (0) = I. (t) = Equation Editor Common 2 Matrix cos(a) tan(a) sin(a) seca) sin- (@) sec(a) csele) cot(a) den ſide | saz cos @) tan-(a)
Consider the following coefficient matrix, which contains a parameter a. 11 6 (a) Determine the eigenvalues in terms of α. Supposing that α > 0, enter your answers in increasing order. Equation Editor Common Ω Matrix 自0 tania) sin(a) d a 4 secia) esia)a) costa) 邇 alal sin"(a) cos-1(a) tan-"(a)- u oo Ω Matrix cosa) tana) ,..tseela, osia, =a) Va ya lal sin-(a)(a) tan ( o sinia) sec(α) //u),dx ! 읊 cscla) (b) Find the critical value or values of...
Determine a lower bound for the radius of convergence of series solutions about each given point xo for the given differential equation. (1+xy +4хy + у 3D 0, хо — 0, хо — 5 Enter co the series solutions converge everywhere. Enter an exact answer. Equation Editor Matrix Common sin(a) cos(a) tan(a) a d cot(a) sec(a) csc(a) dx Va a sin (a) tan (a) cos (a -1 xo = 0:Pmin = Determine a lower bound for the radius of convergence...
Solve the initial value problem y" + 8y' + 16y = 0, y(-1) = 2, y' (-1) = 5. Equation Editor Common 2 Matrix o @ sin(a) seca) s in-(a) cos(a) csca) cosa tan(a) cota) tana) Va Va la U yt) =
Determine " (20),6" (30) and 6 (20) for the given point to if y=4 (2) is a solution of the given initial value problem. y" + 4x²y' + (sin I)y= 0, y(0) = 20, 7(0) = 21 Enter your answers using ao, a 4" (20) = Equation Editor Common 12 Matrix sina seca cos(a) caca) cosa) tan(a) cot(a) tan hele ſtaz jsaz ya la U sina) 6 (20) = Equation Editor Common 12 Matrix le af U sina seca) sina)...
Express the general solution of the given system of equations in terms of real-valued functions sin 4t - cos 4t - sir 4t cos 4t sin 4t -cos 4t 4 sin 5t -cos 5 4 sin 4t cos 4t Find the solution of the given initial value problem. Describe the behavior of the solution as t 00 x, x (0) 2 -3 Enclose arguments of functions in parentheses. For example, sin (2) Do not simplify trigonometric functions of nt, where...
if csc x -13 and 3 <x< 2л. Use a half-angle identity to find cos Enter the exact answer. Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 n). Equation Editor Common sin(a) tan(a) cos(a) Y 00 b sec(a) csc(a) cot(a) к Va Va a1 sina) cos (a tan о Ф X COS o