11/01/21

What is the derivative of f(x)=x^2 on the interval (-3,3)?

a. f'(x)=2x+1b. f'(x)=2xc. f'(x)=x d. f'(x)=(1/2)xe. f'(x)=0

11/01/21

Find the slope of the tangent line to polar curve

Find the slope of the tangent line to polar curve r=6sin(theta) at the point (6/2 , pi/6)

11/01/21

A Norman window has the shape of a semicircle atop a rectangle

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window... more

10/31/21

If f (t)=t^2 + t , find \frac{f(t+h)-f(t)}{h} .

If , find .

10/30/21

Using the l'Hopital's rule, find the following.

Please answer the following question.Suppose you know the following: f (-3) = -5 f' (-3) = 4 f' (x) is continuous for all x Find the following.lim ln(f(x)+6) / f(x)]2−25 =x→−3

10/30/21

Hyperbolic Functions.

 Hyperbolic Functions. The hyperbolic cosine is not one-to-one but restricting the domain to non-negative real numbers gives a one-to-one function called the restricted hyperbolic cosine. f(x) =... more

10/30/21

query in differential equations.

Seperable differential equations are of the form, dy/dx = f(x,y). i.e dy/dx = f(x) g(y). Suppose in the above equation we have,f(x) as √x and g(y) = y+1. but a book i am studying... more

L'Hospital's Rule; Indeterminate Forms. How do I get the answer to this?

Everyway I've tried has failed. Please help

10/28/21

Write the equation of a line going through the points (2,2) and (4,-3) in slope intercept form.

Step 1: Find slope Step 2: find b please step by step answer.

10/27/21

Complete a table of ordered pairs with the given equation

x + 3y = 9(please excuse my poor drawing of a table)x | y-3 | *blank0 | *blank3 | *blankMay you also give another example (if possible) on how to work this? this isnt exactly my strong suit..

How to solve this one?

Check whether lim(x→−2) f(x) exists or not, where f(x)= {3x+2 , x<−2; x2+3x−1, x≥−2}

10/25/21

Math Question For Cal

What is the equation of the line in slope-intercept form through (-5,-2) and is perpendicular to 2x+4y=12

10/25/21

limit when x approach to infinity

(3 + sinx)^(-lnx)Please show the steps, thanks!!

10/25/21

lim when x approaching to inf

((1/x+ 1)^x^2) e^-xevaluate the limit

10/25/21

lim when x approaching to negative infinity

sqrt(x^2+ ln |x|) +xEvaluate the limit.

10/24/21

Find Limit as x approaches 4.

x approaches 4.x2+2x-24/x2-8x+16I have factored it down (x+6)(x-4)/(x-4)(x-4), but that leaves me with 10/0 which does not work.Any help? Thanks

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