848 Answered Questions for the topic Calculus 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... more

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 (lnx^2-x^-2) as x approaches 0

lim (lnx^2-x^-2)  as x approaches 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... more

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... more
Calculus 1

09/11/17

rewrite and simplify9^-3/3^-8

rewrite and simplify

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 :( ... more
Calculus 1 Math Trigonometry

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... more
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... more
Calculus 1 Functions Motion

08/23/17

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... more
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 1 Math Calculus Physics

08/21/17

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 Precalculus Algebra

08/18/17

expression for fn

= 1/(2- (3-2x)/(4-3x))
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 -... more
Calculus 1 Calculus

08/10/17

Sketch the region enclosed by x+y^2=6 and x+y=0

Sketch the region enclosed by x+y^2=6 and x+y=0. Decide whether to integrate with respect to x or y, and then the area of the region.  The area is _____?
Calculus 1 Calculus

08/10/17

Find the area enclosed between

Find the area enclosed between f(x)=0.8x^2+9 and g(x)=x from x=-4 to x=4.  
Calculus 1

08/09/17

Calculus word problem

Air is being filled in a ballon with 28 cubic feet per min . At what rate is the radius changing when the radius is 3 ft I got 7/9pi 
Calculus 1 Calculus Algebra

08/08/17

Calculate max and Obtain the expression for max

The maximum of two numbers x, y it is shown by max (x; y).  looks what max (x; y) = (x+y+|x-y|) / 2.   a) calculate max (-3; 4).   b) Obtain the expression for max (x; y; z).
Calculus 1 Calculus Algebra

08/08/17

be satisfactory f(f(x)) = x for all x.

For which values a, b, c, d the f(x) =(ax+b)/(cx+d) satisfy f(f(x))=x for all x.
Calculus 1

08/08/17

Calculus 1 problem.

What is poured through a chute at a rate of 10 ft cube /min and falls in a conical pile whose bottom radius is always half the altitude. How fast is the radius of the base increasing when the pile... more

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