Calculus Answers

Trace the curve
a2y2=x2(a-x)

Below is a program of a mathematical model which I compiled Using SCILAB. I compiled the program using the parameters of cornstarch. Please help me to verify if the compilation is correct. if it is not please help me to compile the correct one.Please you can compile in MATLAB, I will be able to translate to SCILAB. Thanks for the assistance.

//This program computes the particle collection efficiency of cornstarch

//for 1D3D mechanical cyclone after the user inputs the final limits

//Prompt user to input data, input assigned to the specified variables names

//integration

a=0;

d50=input('Enter the Final Limits');

p=integrate('(1 ./(sqrt(2*%pi)*dp*log(1.4))) .*exp(-((log(dp)-log(19))^2) ./(2*(log(1.4)^2)))','dp',a,d50);

y=(100-p);

disp(p);

disp(y);

disp(p');

disp(y');


After compiling please test result for cornstarch using d50=8.25; Expected result=99.3%. Thanks.

Find the limits.
f(x) = 2x2 − 3x + 15, g(x) =
3

x + 3

(a)

lim
x→3
f(x) =


(b)

lim
x→24
g(x) =


(c)

lim
x→3
g(f(x)) =

Use the graph to determine the limit. (If an answer does not exist, enter DNE.)
WebAssign Plot
(a)
lim
x→c+
f(x) =


(b)
lim
x→c−
f(x) =


(c)
lim
x→c
f(x) =

Is the function continuous at
x = −5?

Yes
No

Find the limit. (If an answer does not exist, enter DNE.)
lim
x→4
x − 4
x2 − 16
STEP 1: Factor the denominator.
lim
x→4
x − 4

x + 4


x −




STEP 2: Simplify.
lim
x→4
1
x +


STEP 3: Use your result from Step 2 to find the limit.
lim
x→4
x − 4
x2 − 16
=

find the integral of f(x,y)=x^4+y^2 over the region bounded by y=x,y=2x and x=2

A farmer with 750 m of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible area of the four pens? (Area of Rectangle =

Compute fxy and fyx for the function f(x,y) = e^(x+y) sin x + 9x^2 + 2xy at (1,2)

Find the equation of the tangent line at the given point on the following curve.

x^2+y^2=41, (-5,4)