01/22/19

Calculus Homework Question

Provided f(x) = √ x + 2 and g(x) = x / x + 1 , find (f ◦ g)(3) and (g ◦ f)(3).

y'=x-y, y(0)=1. f(x)=x-1+2e^-x

use differentiation and substitution to show that the function y=f(x) is the exact solution of the initial value problem.

10/28/18

Rate of Change for the value of y

If y'(8)=1/12, how much would you think y would change between x=8 and x=8.12? (Hint: y' measures the rate of change of y per unit of change of x)I tried to use y2-y1/x2-x1 and set it equal to 1/12... more

06/26/18

Evaluate (−1/2 + j1/2) ^−2/3

Ans: 2^(1/3).e^(−jπ/2), 2^(1/3). e^(jπ/6), 2^(1/3). e^(j5/π) Please show step by step.

05/07/18

Find the value of A and B......if w is the complex cube root of unity

(1+w)7 = A+Bw

What is Taylor series of ln(z-3)(z-1)?

Around 0? And what is the radius of convergence? (And the domain of the function?)

02/04/18

Differential Calculus

Find f'(x) from first principles given that f(x) is    a) x^2√x

Find the nth roots of the complex number for the specified value of n:

Find the nth roots of the complex number for the specified value of n:-17i, n=6

Find the nth roots of the complex number for the specified value of n.

Find the nth roots of the complex number for the specified value of n.2-2i, n=4

multiplying complex numbers

Multiply    (3-i)(6-6i)    write answer as a complex number in standard form 

Complex Numbers

Find each expression for u=2i-5j and v=-3-2j, find   (a) 2u-3v    (b) ll2u-3vll   the two "ll" on both sides of the formula for "b" are signs and not numbers or letters.   Please show step... more

10/15/16

I need help with this problem. Thanks. Solve the differential equation. 1+xy=xy'

How do you do this ,and what is the answer?

solve the differential equation

x2y"(x)+xy'(x)-y(x)=0 x is greater than 0; subject to y(1)=1 and y'(1)=1/2 a. solve the d.eb. determine the values of the parameters from the initial condition

solve the differential equation

4x2y"(x)+8xy'(x)+17y(x)=0  x is greater than 0; subject to y(1)=1 and y'(1)=-1/2    a. solve the d.e b. determine the values of the parameters from the initial condition  

tan^3 (xy^2 + y) = x

use implicit differentiation

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