(a) y = x° arctan(e")

Q: QI) Show that: (a) (1+x)° =1+6x (b) (cosx) = –sinx dx

A: 1.  a  1+x6≅1+6xb  ddxcos x=-sin x

Q: y=(sinx)arctanx

A:

Q: -y = sin Va

A:

Q: is If У%3D2х arccos x - 2/1-х? then dx

A: We differentiate both sides with respect to x and then solve it.

Q: Find sin (2)dr (hint: use a half-angle formula twice).

A: Note: sin2x=2sinxcosx  Cos2x=1-2sin^2(x) And sin^2(x)+cos^2(x)=1 by using these formulas we solve…

Q: 15. (D* – 1)y : = sin 2x

A:

Q: A golfer hits a golf ball at an angle of 0 = 22° with initial velocity v = 120 ft/s. (a) Estimate As…

A: given angleθ=22∘initial velocityv=120 ft/s we will use the formula  s=v2sin2θghere g=32.17

Q: Use a graphing utility to graph y = x sin1/ x . Show that the graph is concave downward to the right…

A: Given function is y=sin1x

Q: 15

A: We have to find equation

Q: Se** sin (4x) dx

A:

Q: 2. a. arctan(-1) b. tanV3 C. tan-

A: a)tan-1(-1)=-π4b)tan-1(3)=π3

Q: (b) / sin (50) do

A:

Q: sin (e3") dr .

A:

Q: (d) dg 22. =e sink -구

A:

Q: sec² (x) tan° (x)dx

A:

Q: 5. (a) 2e' sin? (b) e cos ?1

A: