836 Answered Questions for the topic Calculus 1

Calculus 1 Calculus

04/22/17

find f if f''(x)=
Find f if f′′(x)=sin x + cos x, f′(0)=3, and f(0)=2.   f(x)=_____
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Calculus 1 Calculus

04/22/17

find f if f''(x)=
Find f if f′(x)=6x−[3/x^4],  x>0, and f(1)=3.   f(x)=_____
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Calculus 1 Calculus

04/22/17

find f if f''(x)=4-6x
Find f if f′′(x)=4−6x, f(0)=3, and f(2)=−8.   f(x)=_____
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Calculus 1 Calculus

04/22/17

use the midpoint rule with the value
Use the Midpoint Rule with the value of n=4 to approximate the integral  pie/2  cos^2 x... more
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Calculus 1 Calculus

04/21/17

Find the absolute max and min values
Find the absolute maximum and absolute minimum values of the functionf(x)=x^3−12x^2−27x+10over each of the indicated intervals.   a) Interval [-2,0] 1. Absolute max= 2. Absolute min=   b)... more
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Calculus 1 Calculus

04/21/17

Find all critical values for the function
Find all critical values for the functionf(r)=[(3r)/(6r^2+10)]and then list them (separated by commas).
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Calculus 1 Calculus

04/21/17

Find dy/dx in terms of x and y
Find dy/dx in terms of x and y if x^3y−x−3y−10=0. dy/dx=____
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Calculus 1 Calculus

04/21/17

Find dy/dx in terms of x and y
Find dy/dx in terms of x and y if 2xy+4x+y=6. dy/dx=____
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Calculus 1 Calculus

04/21/17

Find dy/dx in terms of x and y
Find dy/dx in terms of x and y if x^9+y^2=√2 dy/dx=_____
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Calculus 1 Algebra 2

04/21/17

if a shop rents a canoe for 24 dollars an hour and 8 dollars a bucycle for hour and he makes 16.32 dollars per month how many bikes and canoes did he rent
if a shop rents a canoe for 24 dollars an hour and 8 dollars a bucycle for hour and he makes 16.32 dollars per month how many bikes and canoes did he rent 
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Calculus 1 Calculus

04/20/17

the tangent line to y=f(x) at
The tangent line to y=f(x) at (−8,−9) passes through the point (7,7). Compute the following. a) f(-8) b) f'(-8)  
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Calculus 1 Calculus

04/20/17

Suppose that an object moves along an s-axis so that its location is given by
Suppose that an object moves along an s-axis so that its location is given by s(t)=t^2+8t at time t. (Here s is in meters and t is in seconds. a) Find the average velocity of the object in meters... more
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Calculus 1 Calculus

04/20/17

the limit represents the derivative of some function f(x)
The limitlim x→1   x^7−1/x−1 represents the derivative of some function f(x) at some number a. Find f and a.   f(x)=_____ a=______  
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Calculus 1 Calculus

04/20/17

Find the largest δ so that
Let f(x)=−5x+(−5). Find the largest δ so that |f(x)−f(a)|<ϵ when |x−a|<δ.   δ=________
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Calculus 1 Calculus

04/20/17

Given any ϵ>0, we need to find a number δ>0
Let f(x)=x^2−8x. To prove that limx→4f(x)=−16, we proceed as follows. Given any ϵ>0, we need to find a number δ>0 such that if 0<|x−4|<δ, then |(x2−8x)−(−16)|<ϵ. What is the... more
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Calculus 1 Calculus

04/19/17

for the function use algebra to find each of the following limits
For the functionf(x)= {x^2−4, 0≤x<3f(x)= {−1, x=3 f(x)= {3x-4, 3 less than x   use algebra to find each of the following limits:   lim f(x)= x→3^+ lim f(x)= x→3^- lim f(x)= x→3  (For... more
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Calculus 1 Calculus

04/19/17

The point P(0.2,15) lies on the curve y=3/x. Let Q be the point (x,3/x)
The point P(0.2,15) lies on the curve y=3/x. Let Q be the point (x,3/x) a.) Find the slope of the secant line PQ for the following values of x. If x=0.3, the slope of PQ is: If x=0.21, the slope of... more
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Calculus 1

04/19/17

If a ball is thrown straight up into the air with an initial velocity of 85 ft/s
If a ball is thrown straight up into the air with an initial velocity of 85 ft/s, it height in feet after t second is given by y=85t−16t^2. Find the average velocity for the time period begining... more
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Calculus 1

04/19/17

Let u(x)=e^8x and v(x)=3x+7. Find a simplified formula for the function below.
Let u(x)=e^8x and v(x)=3x+7. Find a simplified formula for the function below. v(u(x)^2)=__________+__________
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Calculus 1

04/19/17

Let f(x)=sin(4x) and g(x)=3+√x. Find formulas for:
Let f(x)=sin(4x)) and g(x)=3+√x. Find formulas for:  a) f(g(x)) b) g(f(x))
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Calculus 1

04/18/17

∑n k=1 (24k(k-1)/n^7
Use the summation formulas to rewrite the expression ∑n k=1 (24k(k-1)/n^7 without the summation notation.
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Calculus 1

04/17/17

How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 60 units
a manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C(x)= .3x^2+7000. How fast is the cost per month changing when production is changing... more
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Calculus 1 Optimization

04/14/17

A cylinder with open top with radius r and height h has surface area 8 cm2 . Find the largest possible volume of such a cylinder?
A cylinder with open top with radius r and height h has surface area 8 cm^2 . Find the largest possible volume of such a cylinder?
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Calculus 1

04/11/17

2sin(x)cos(y)=1 find the first derivative
2sin(x)cos(y)=1    find the first derivative
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Calculus 1

04/10/17

differential equation
solve f'(x)=-4x^2+3x-1 given that f(1)=0
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