s+1) (a) L-1 4s2 +1 (b) L-1 s4 + s] (e) E{/ c{[e cos(r) dr.

Q: Find  (f −1)'(a). f(x) = 3x3 + 3 sin x + 3 cos x,    a = 3

A:

Q: Let ro)-플-x a-글 FW) = b = 0, and n=3. Then: cos (f(x))dx =

A: We can find the integration as below

Q: 3. Find f. (a) f"(x) = x + 12x² %3D

A:

Q: Find f(x).

A: Given,

Q: sinh(3 In(a)) = %3D 3a (A) ба (B) a3-송 (C) 을 + 교 2a3

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: 4sinx (x)cos (x)dx = (0) (b) () (d) (e) None 16

A:

Q: 2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin…

A: This answer is given below.Explanation:

Q: x2 Vcos(t) +3 at 1. COS 2.

A: Given that, the integral ∫2x2cos t + 3 dt

Q: AB1: Find g(2), g'(2), and g"(2).

A: Given that gx=∫-2x2ftdt Now we have to find g2, g'2 and g''2 In the interval -2,2, fx=4-x2In the…

Q: L{t sin t cos t} = 2s (A) (s²+4)2 -2s (B) (s²+4)² (C) 14) (s²+4)² -8 (s²+4)2 (E) (s²+4)²

A:

Q: f(x) = 3x cos ƒ'(x). -1 (2x + 4) − √√/19 − 3x², find

A: Given: fx=3xcos-12x+4-19-3x2. To Find: f'x.

Q: Let h(x) f(æ) If f(x) = 3 cos (x) and g(x) = 3x + 2x2 – x + 4, what is h' (x)? (æ)6

A: Given: f(x)=3cos(x)g(x)=3x3+2x2-x+4   Let h(x)=f(x)g(x).   Then, h(x)=f(x)g(x)=3cos(x)3x3+2x2-x+4

Q: ; Choose the most appropriate answer. (i) Let 1-r 2 E (an cos(ntx) + bn sin(nrx)], n=1 on (-1,1).…

A: This is Fourier series expansion of (1-x) from -1 to 1.

Q: Solve S(cosa{x – +)<(1 + +) dx -

A:

Q: se-2s -)=D 's²+45+3

A: Given,

Q: If f(x) = >(1- (sinx)*)" .Determine the value of f (G) (b) (c) 3 (a) (d) 4 (е) None a 4 /3 1/3

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: e"+e (1) V 23 + 1 dx by speculation . x=e"+e-T (2) Use (1), if necessary, to evaluate L +1 (-) de V…

A:

Q: r' (t) × r´ (t) to ||r' (1) × r´ (1)|| Use the formula B (1) = T (1) × N (t) to find B (t) , and…

A: Given that rt=sint-tcosti+cost+tsintj+48k. To find Binormal vector B(t).

Q: Simplify (if necessary) then 2 Compute: y" +Éy' for a2 y(z) = rar (zx+ cosx')] [6(cosh2x- sinh2x)] d…

A: given yz=∂2∂x∂zz2x+cosx96cosh2x-6sinh2x36cos2πxddx3x2 claim- if necessary simplify then compute the…

Q: Use the formula £{t^f(t)} (s) = (-1)^(((s)) to help determine the following the expressions. (a) L(t…

A: Solution:-

Q: Let Find f(x) = y = f(x) = 5x + 18 cos x. d f(x) =

A: Given query is to find the derivative at indicated point.

Q: A power signal which is periodic with period 2n and is characterized by the form f(x) Expand f(x) in…

A: Given, fx=sinhxcosx, -π≤x≤π Since, f is periodic of period 2π then, fx+2π=fx Then,…

Q: Q1) Evaluate: (a) fe²_1_dx Inx sin ¹x 1-x² dx (b) f 1- cos dx (e) Jỗ 2sinx cosx dx (c) | Inx dx

A:

Q: Find F(s). F(s) = L(1 et + 3e-4t) cos(2t)} -

A:

Q: (a) Find: L{(e + e*)?} -t (b) Find : L 2+11 } 2s (c) Find: L{421

A: a) Le-t+e3t2Le-t+e3t2=Le-2t+2e2t+e6tF(s)=Le-2t+2Le2t+Le6tF(s)=1s+2+2s-2+1s-6F(s)=1s+2+2s-2+1s-6

Q: solve for y, In - y| +C = (1n|cos(x) – 1| +c)

A:

Q: Find (f −1)'(a). f(x) = 4x3 + 5 sin x + 2 cos x,    a = 2   (f −1)'(a) =

A: Consider the function f(x) =4x3+5sinx+2cosx.Compute the derivative of the given function as follows

Q: F(s) = Le 4t cos(5t)}

A: We have to find  ℒe-4tcos5t Remember : ℒeatf(t)=Fs-a where  ℒf(t)=Fs

Q: Find the value of f(0) when 3 sin(2t), f( f'(t) 1. f(0) 2. f (0) 3. f (0) 4. f(0) 5. f(0) = = = = =…

A:

Q: Evaluate L{t cosh 4t. 1 1 + (s – 1)’' (s+1)* А. В. (s-1)* (s+1)* 1 1 С. (s –4)° (s+4)' 3. D. (s-4)*…

A:

Q: f(ta (tanx+log secx) e* dx on ((2n-1) T. (2n + 2)2), nez

A: Given that a integration and we solve this integration by general property of integration.   We know…

Q: f(t) = -3+4 cos(,(t – 3 ).

A:

Q: dx Evaluate: /9 – x² A @ sin -1 +C .3. 1 3 sin +C 3. B

A:

Q: COs ax dx. x² + b² (q)

A: Cauchy residue theorem: If f is holomorphic function defined on simply connected open set with…

Q: Find f if f"(x) =2 + cos(x), f(0) = 10, f(t/2) = -5. f(x) = |

A: To find f if f"x=2+cosx, f0=10, fπ2=-5. Solution: We have, f"x=2+cosx Integrating both sides, we get…