807 Answered Questions for the topic Calculus 1

08/14/15

find all constants a,b such that the following function has no discontinuities
f(x)= ax+cosx for x≤ (pi/4)          bx+2 for x>(pi/4)
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Calculus 1

08/14/15

find the value of c that makes the function continuous.
f(x)= 2x+9 for x≤3          -4x+c for x>3
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Calculus 1

08/03/15

Please help thanks!
Sketch the region in the first quandrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=2cos(x),    y=10sin(2x),   x=0
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Calculus 1

08/03/15

Please help thanks!
Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.   y=2cos(x) ,    y=10sin(2x) ,    x=0
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Calculus 1 Mean Value Theorem

08/02/15

Mean Value Theorem
a.) Verify that the hypotheses of the Mean Value Theorem are satisfied for each of the functions on the given interval, and b.)find the value of "c" which Mean Value Theorem... more
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07/21/15

Related Rates
A child's balloon rises into the air at a rate of 2.5 ft/sec. The child runs over to his mom (5.75 feet from where he lost it) and watches the balloon ascend into the sky. How fast is the angle of... more
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Calculus 1

07/21/15

Having trouble understanding this limit calculation
Can anyone explain what is happening here? http://imgur.com/hn0UVjn ; I understand multiplying by the conjugate, but why do the signs change in the outlined part? And if the bottom denominator is... more
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Calculus 1

07/10/15

Hello. I am in college studying petroleum engr. I am thinking of skipping trig. To calc. 1 is that gonna affect me?
Can i skip trig. Straight to calc. 1 by doing the compass test?
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07/07/15

What is The actual speed (along the road) of the red car for the measurement feet per second?
A police car is located 30 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police... more
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07/07/15

What is The rate of change of the area enclosed between the circle and the square
A circle is inside a square.The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute.When the radius is 5... more
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07/07/15

Find the rate at which the water level is rising when the water level is 2 cm
An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is... more
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Calculus 1 Calculus

07/06/15

Two variable quantities A and B are found to be related by the equation A^3 +B^3=189. What is the rate of change dA/dt at the moment whn A=5 and dB/dt=3?
Two variable quantities A and B are found to be related by the equation A^3 +B^3=189. What is the rate of change dA/dt at the moment whn A=5 and dB/dt=3?
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Calculus 1 Calculus Logarithms

07/06/15

The magnitude R of an earthquake of intensity I is defined as R=log(I/I0) where I0 is a minimum intensity used for comparison. An earthquake has n intensity of
The magnitude R of an earthquake of intensity I is defined as R=log(I/I0) where I0 is a minimum intensity used for comparison. An earthquake has n intensity of 106.5 x I0. What is its magnitude on... more
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06/08/15

Inverse function Word Problem
When a camera flash goes off, the batteries immediately begin to recharge the flash's capacitor which stores electric charge given by Q(t)=(Q_0)(1-e^(-t/a)) where Q_0 is the maximum charge capacity... more
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Calculus 1

06/02/15

A and B constant Question Differentiable
What constants a and b is the function f(x)= a + be^(x-1) if x<1 fx= x+cos2(x-1) if x> or equal to 1 differentiable at x=1
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Calculus 1

05/04/15

Proving continuity
F(x)={2x+5; x<2.           A) lim x~2-          {9; x=2.                 B) lim x~2+          {x^3; x>2.             C) is f(x) continuous at x=2 I completely forget how to solve... more
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Calculus 1

05/03/15

calculus ivt
Find the value of c that is guaranteed by the IVT, so that f (c)=k   F (x)=x^2+6/x^2+1  [0,2] k=5
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Calculus 1

05/03/15

calculus ivt
find the value C that is guaranteed by the intermediate value theorem so that f (c)=k F (x)=6x-9/x-2 [1,5] k=4
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Calculus 1

05/02/15

calculus limits
you're given a hundred dollars at the beginning of day 1 at the end of the day you have to give back half of your holdings for each day there after you are given another $100 and at the end of each... more
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Calculus 1 Applied Calculus

05/01/15

I am using derivatives to find this. It is business calculus.
A hotel has 300 rooms.  All rooms are occupied when the hotel charges $80 per day for a room. Research show that for every one dollar increase in the daily room rate, the number of vacant rooms... more
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Calculus 1

04/30/15

How would you use implicit differentiation to find dy/dx of the problem: 7x^2 + 6ln(xy) = 14 ?? I have a test tomorrow morning and im lost.
This is an implicit differentiation problem involving the dy/dx variable and I just can't figure out how to find the derivative of the 6lnxy part of the problem.
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Calculus 1

04/30/15

Pre-Calculus
I'm not exactly sure what I'm being asked:what does y equal given the following equation? X=.5y^2-3  what do I need to do for this? I'm given choices, but I'm unsure how to get one of the answers... more
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Calculus 1 Calculus

04/27/15

Find Values of a and b and an expression for the function f so that f satisfies the following properties:
ƒ'(x)=ax2+6x+b ƒ'(1)= 14 ƒ''(1)= 12 ∫12   f(x)dx=18
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Calculus 1 Integrals

04/27/15

Consider an integrable function f(x) that is odd
Assume that integral from 0 to 5 f(x)dx=6 and integral from 0 to 8 f(x)dx=4   Find: -integral from 5 to 8 f(x)dx -integral from -5 to 8 f(x)dx                         Please Help!!
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Calculus 1

04/27/15

A ball thrown vertically from ground level with initial velocity 3m/s has height h(t) =3t-4.9t^2 m at time t. Find the average height over the interval [0,3]
initial velocity 3 m/sheight h(t) = 3t − 4.9t^2 on interval [0,3]
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