1+(1+z²)/² • [a)] Show that csch 1 z = ln [(b)] Use part (a) to find all the values of csch (2i)

Q: Sketch a graph of y = 8 on [- 5, 4] and use geometry to find the exact value of int -5 ^ 4 8 dx.

A:

Q: VI - 3 find: VE +3 If f(x) = f'(z) =| f'(3) = %3D

A:

Q: Prove LHS=RHS

A:

Q: Find the 1st and 2nd derivative. p= (q+2 divided by q)(q+6 divided by qsquared) show all work

A: Given p= (q+2q)(q+6q2)

Q: Evaluate the definite integral: intergral sign b=1 a=0 f(x)= square root of (5x+6) times (dx)

A: ∫01​5x+6​dx let:u = 5x + 6du = 5 dx dx = du/5…

Q: ∫(ln(sqrtx +1))/( sqrtx + x))dx

A:

Q: Differentiate the following function In z I y = 0 - 1/1/(x-²) I 1-ln z O O 1-r ln r r³ 0 1 I

A:

Q: How does the integral of cot x become -ln(abs(csc x)) +C?

A: Given, function

Q: [2 3] x [58][y] a) X 元 201 9 = [] 18013-81 ||

A: We have to find .

Q: Find the total diffedrential  w = x^16yz^4+sin(yz)

A: w = x16yz4 + sin(yz) Total differential  dw =wxdx + wydy +wzdz

Q: how does -1 transform into e^((2k+1)TTi)?

A: (.)  Euler's formula is,             we have to show that .

Q: integral cos^7(4x)

A: To find the integral

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.