807 Answered Questions for the topic Calculus 1
Calculus 1
09/27/17
calculate limit
A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that the following functions has a horizontal asymptote by...
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Calculus 1
09/27/17
Calculate the following limits. Enter DNE for a limit which does not exist.
let f(x)=
sqrt(-2-x)+4 if x<-3
4 if x=-3
3x+14 if x> -3
Calculate the following limits. Enter DNE for a limit which does not exist.
lim(x->-3^-)...
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Calculus 1
09/26/17
For the function h(x)= x^3-27/x^2-9 complete the following:
a. Make a table of values of h(x) for x values close to 3 and on both sides of zero.
b. Make a conjecture about lim x arrow 3 h(x). Round conjecture to 2 decimal places.
...
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Calculus 1
09/26/17
Use the limit process to find the slope of the line tangent to the graph
let f(x)= (5x^4)-6
Use the limit process to find the slope of the line tangent to the graph of f at x=3.
slope at x=3: ???
Find an equation of the line tangent to the graph of f at...
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Calculus 1 Limits
09/21/17
I need help finding the limit/showing that it doesn't exist (Calc 1)
limx-->infinity (square root(9x2+x) - 3x)
Calculus 1
09/20/17
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → ∞ x + 2 36x2 + 1
Find the limit, if it exists. (If an answer does not exist, enter DNE.)lim x → ∞ x + 236x2 +1
Calculus 1
09/20/17
solve for (f o g o h)(x)
find (f o g o h)(x)
f(x)= sqrt(7x) g(x)= (x/(x-3)) and h(x)= 3sqrt(12x)
Calculus 1
09/20/17
For the function h given below, find a formula for h(x) and the domain of h. Enter the domain using interval notation.
For the function h given below, find a formula for h(x) and the domain of h. Enter the domain using interval notation.
f(x)= sqrt((8x-4) g(x)=(2x^2)-6
find h(x)= (g o f)(x)
my answer...
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Calculus 1 Limits Of A Function
09/17/17
limit of (root(x^2-7) - 4) / x^2 - 3x as x approaches 3
need to manipulate this so the denominator isn't 0
Calculus 1
09/16/17
Lim (1/x-lnx) as x approaches 0 from left hand side
Determine the infinite limit
lim (1/x-lnx) as x approaches 0 from left
Calculus 1
09/15/17
Calc 1 Trig Equation
Find all values of x in the interval [0, 2π] that satisfy the following equation.24 cot2(x) = 8
I think the first step is to solve for cot(x) which is equal to \sqrt{3} / 3. I don't know what...
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09/13/17
consider the function f(x)=3x^2-x/x^2-6x+5
List any vertical asymptotes of f(x), and explain, using limits, why each is a vertical asymptote.
List any horizontal asymptotes of f(x), and explain, using limits, why each is a vertical...
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09/10/17
Let f(x)=sqrt(x+1);Compute T1,T2 at 0. And by that I mean Taylor . I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)?
Let f(x)=sqrt(x+1);
Compute T1,T2 at 0. And by that I mean Taylor .
I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)?
Please help I have an exam tomorrow :( ...
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09/08/17
cos(t)=-7/9 t is in quadrant III find cos(2t)
Here's the exact formatting,
If cos(t)=−7/9cos(t), where π<t<3π2π<t<3π2, find the value of the following trigonometric function
cos(2t)
Calculus 1
09/05/17
Find f(a + h) - f(a) for the following function. Simplify your answer. f(x) = x^2 - 10 x + 9
I don't understand how to do this since there is no f(x) to plug in to solve. Just f(a+h) - f(a)
Calculus 1
09/03/17
The function s(t) represents the position of an object at time equals 86s(3)=86
The function s(t) represents the position of an object at time t moving along a line. Suppose s left parenthesis 3 right parenthesis equals 86s(3)=86 and s left parenthesis 5 right parenthesis...
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Calculus 1
08/30/17
Introduction to Calc inequality
The inequality is x7 - x6 <= 0. So far, I think the first step is to factor out x^6, leaving us with (x^6)(x-1) <= 0, though I'm not sure about this step. Any help is appreciated!
Calculus 1
08/25/17
calculate water pressure
At the surface of the ocean, the water pressure is the same as the air pressure above the water, 15 lb/in2. Below the surface, the water pressure increases by 4.34 lb/in2 for every 10 ft of...
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The position function of a particle in rectilinear motion
The position function of a particle in rectilinear motion is given by s(t) = 2t^3 – 21t^2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and...
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Calculus 1
08/22/17
|y|=x explain why it is not graph of function of x
I don't know how to answer this
Calculus question
A ball is tossed up from a tower 50m above the ground. If the ball has an initial velocity of 30m/s, how long will it take to hit the ground if a = -9.81m/s^2.
Help!?
Calculus 1 Differentiation
08/16/17
Differentiation Confusion
If we expand (3x^2 - 1)^4 we get,
(3x^2 - 1)^4 = 81x^8 - 108x^6 + 54x^4 - 12x^2 + 1
If we derive (3x^2 - 1)^4 we get, (via chain rule)
24x(3x^2 - 1)^3
However if we derive (81x^8 -...
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