i need help with #6, #15, and # 17. please and thank you! 1 lim 8...
21 Q. No: 1 lim is equal to: انا ابن (a) o (6) 1 (c) 2 Q. No: 2 The average value of the function f(x) = sin(32) on (0, is equal to: 2 (6) (d) Q. . No: 3 The integral (.' |--1/4 | dx is equal to: (a) 0 (6) 1 (0) sin Q. No: 4 The intergral ſi dr is equal to: 1 + cos2x (a) - tan(sin x) + (6) - tancos x) + c (c)...
9,17,33 and ill like
cos 22 14. 2+1 In Exercises 1-26 find the Taylor series for the function about the given point. In each case determine values of z for which the series converges to the function. 3 1. + about zo = 0 2. 1+2 about = 1 3. (1 - 2)2 about 20 = 0 4. e* about 20 = 1+i 5. sin z about 20 = i 6. cos z about zo = 2 - 7. sinh...
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you help me with 12-17 please (i dont need 18)
1 . - < < 27 12. tan 8 = 5, +<o<- 15. sec @ = 3, sin 8 > 0 14. sin 0 = - 3.3< 17 cote = -2, sec @ < 0 16. csc 8 --V5, cos e < 0
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
40 Show the following results. 1-e2 (e) lim(2+3-12)tan(/4) (24.3)-4/ 2 (a) lim -+0 isin(3r) エ→2 3 (f) lim(cos x)In | = 1 エ→0 1+ tanz1/sin z 1+ tanh r (b) lim = 1 -+0 nT nT (g) lim cos no0 +sin 6n+1 (c) lim (sin r)1/(2r-) - 1 エ→/2 = e 3n+1 2 + sin r 1 (h) lim 0. (d) lim エー→0 1 In (1 - V-1) - . 2 In(cos x) r+1+
40 Show the following results. 1-e2...
Differential equations 7.3 Operational properties I
Table for reference if needed.
Use operational properties of the Laplace Transform to show Hint: F(t)=1.5(1) t S+1 t TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 + 2)2...
find the limits analytically, show all steps
x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
Differential equations 7.2 Inverse transforms and transforms of
derivatives
Use Laplace Transforms to solve the initial value problem y" + 4y = 25xe", y(0)=-2, and y'(0)=1. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 +...
Differential equations 7.2 Inverse transforms and transforms of
derivatives
Use Laplace Transforms to solve the initial value problem y" – 2y'+5y=-25x , y(0)=2, and y'(0)=3. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 + 2)2...
Which statements are true? Select all that apply. (2 points) CSC? g cos@+1 sin 6 cos 0 = tan e csc?e=1-cote 1+tan? A=_ cose csc 9 - sece COO What is a simplified form of the expression sin + seco m csce sin e sin e + cose 2 sine mm 2 5. Which of the following are true statements? Select all that apply. (2 points) sin 50° = sin 22° cos 28° + cos 22° sin 28° e sin...