836 Answered Questions for the topic Calculus 1

11/28/17

Find y' by implicit differentiation
Find y' by implicit differentiation √(x+sec^2 y)=5
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Calculus 1

11/28/17

A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for th
A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for the sides costs $2 per square foot.... more
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11/28/17

Math derivative calcular relative rates
A large snowball is melting so that it's radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment that the radius is 3inches? HINT: volume of a sphere... more
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Calculus 1 Calculus

11/28/17

Find all values (k) and (m) on the curve
Find all values (k) and (m) on the curve x^3-6xy-ky^3=m where the slope of the tangent line is -1 at point (0,1)
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Calculus 1

11/24/17

Find the exact values of the remaining trigonometric functions of 0 satisfying the given condition.
Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.)cos θ = 1213, tan θ < 0
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Calculus 1 Math Calculus Math Help

11/23/17

Calculus Question
Given that f(10)=5, f′(10)=1, g(5)=3, and g′(5)=9, what is theapproximate value of g(f(10.01))?   Help!?
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Calculus 1 Math Calculus Math Help

11/22/17

What value of k makes the following function continuous?
f(x)   =   sin(-6x)/(9x).   x is less than 0   3x-9k-6.  x is greater than or equal to 0   Help!?
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Calculus 1

11/21/17

Exponential Growth
The half life of a certain substance is 27 years. How fast is a 500-gram sample of this substance decaying after 115 years?   Q=Q0ekt   and k=(ln(1/2)/half-life
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Calculus 1

11/20/17

Evaluate the integrals given
∫01  (x5-5x+5x)dx     ∫4    (√y-y/y2  ) dy 1  
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Calculus 1

11/19/17

Calculus Application problem
An ecologist needs to fence in a state park with a rectangular plot. The rectangular plot must have an additional section of fencing across its width. Find the maximum area that can be enclosed... more
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Calculus 1

11/19/17

Evaluate the integrals given
∫01 (x5-5x+5x)dx     ∫14  √y-y/y2  dy                        
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Calculus 1

11/19/17

The velocity function (in meters per second) for a certain particle, moving in a straight line, is v(t)=t^2-2t-8
The velocity function (in meters per second) for a certain particle, moving in a straight line, is v(t)=t^2-2t-8 for 1≤t≤6   A) Find the displacement of the particle over this period   B) Find... more
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Calculus 1

11/18/17

i don’t understand how to do doubling
The count in a bacteria culture was 300 after 10 minuets and 1900 after 30 minuet. assuming the count grows exponentiall,  what is the initial siz of the cultur?, find the doubling perio?, find the... more
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Calculus 1

11/16/17

Find Formula
The rate of growth of sales (sales per day) for a particular company is predicted to be 45e0.01t, beginning with sales of 800 items on day t = 0.Find a formula for the total number of sales in the... more
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Calculus 1

11/16/17

Estimate Area
Estimate the area under the graph of f(x) = 1/(x+4) over the interval over the interval [0,5] using eight approximating rectangles and right endpoints.   Rn= ?   Repeat the approximation using... more
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Calculus 1

11/15/17

How do you do this problem?
a rectangular prism with dimensions l*w*h is expanding its length and width by4m/min and 3m/min respectively, while keeping the height the same how fast is the volume of the prism changing when its... more
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Calculus 1

11/14/17

Question 1 : Given that q(x) is a differentiable function , q'(4)=0 and q"(x)=-2x+9, then q(4) is ...
Question 1 : Given that q(x) is a differentiable function , q'(4)=0 and q"(x)=-2x+9, then q(4) is ...**Explain and justify your answer.**Question 2: Water is being poured at a steady rate into a... more
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Calculus 1

11/14/17

Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm2?
Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm2?
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Calculus 1 Optimization

11/13/17

Optimization question
A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $9 the average attendance has been 27000. When the price dropped to $8, the average attendance rose to... more
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Calculus 1

11/13/17

find function
Find a function f(x) such that f′(x)=-2x2-1 and f(0)=1   f(x)= 
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Calculus 1

11/13/17

Maximum Revenue
The total annual revenue (in billions of dollars) for the Boeing Corporation from 1990 to 2002 is given byR(t)=-0.1(t-1)2+80where t=0 is January 1, 1990. The annual revenue (also in billions of... more
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Calculus 1

11/12/17

Calculus Problem
let xy=4 and (dy/dt)=1 . find (dx/dt) when x=2 f(x)= ?
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Calculus 1

11/12/17

find function
Find a function f'(x)=8ex-9x and f(0)=3   f(x)= ?
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Calculus 1

11/10/17

Find the most general function F such that \displaystyle F'(x) = \frac{7}{\sqrt[3]{x}} - 6 \sqrt[3]{x^2}.
calc 1 pls answer asap 
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Calculus 1 Limits

11/08/17

Find the limit as x approaches pi/2 from the left of
(tanx/7)/(2x-pi)
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