Suppose that L(f(t))(s) = e¯s² . Which of the following is L-¹ (e-³e-s²)? Of(t-1)H(t-1) e-t f(t) Of(t+1)H(t+1) e-te-t² ○ et f(t)

Q: £/ ue "du +

A:

Q: Let h(x) = f(x)g(æ). If f(x) = –3x² + 2æ – 3 and g(x) = -322 + 4x + 3, what is h' (1)? %3| Do not…

A: Given function is h(x)=f(x)g(x) where f(x)=-3x2+2x-3 , g(x)=-3x2+4x+3 f(1)=-3(1)2+2(1)-3=-3+2-3=-4…

Q: Finally, use the Generalized Power Rule to determine[x -x], noting that x-x is the difference of two…

A: Here we have to find differentiation of f(x)

Q: What is t′(x) if t(x)=80x5ex?

A: t(x)=80x5ex

Q: f (x) = { ₂x² (²/²) ² 2=1 Coso f(z) dz= ? 23

A: We have to calculate

Q: Let ​F(x)=x2−11 and ​G(x)=12−x Find ​(F•​G)(−5​)

A: Given,two functions F(x)=x2-11  and G(x)=12-x

Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

A:

Q: d [In(x² + 1)] = d [In(x2 + 1)] x2 + 2.x Given the derivative find the derivative dx Simplify 4. dx…

A:

Q: If f(x) = (3x – 2)(2x + 3), then a. f(– 2) b. f'( – 2) = c. f''(– 2) d. The values of x for which…

A:

Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

A:

Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

A:

Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

A: