844 Answered Questions for the topic Calculus 1
Calculus 1
12/12/15
which intervals is function f(x0=12x^2/3-4x increasing
A) find the intervals on which f is increasing
B) Find the x and y coordinates of all relative maximum points
C) Find the x and y coordinates of all relative minimum...
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Distance, y=-x^2+17x-66
The shape of the hill can be described by the equation y=-x^2+17x-66 (x values between 6 and 11). Say that John has a rifle and is in his deer blind located at the point Po=(2,0). Where on the hill...
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Evaluate the integral below.
Evaluate the integral below.
∫ 3??^−4?? ????
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Calculus 1
12/08/15
Distance of to people running away from each other, derivates
Pam is seated 300m away from the center of a circular track of radius 100m and is watching John run laps at a speed of 5m/s. How fast is the distance between Pam and John changing when John is...
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12/08/15
2. Lemniscate Curve, Find the exact coordinates of the point(s) where the tangent line to this curve is horizontal
Curve:
(x2+y2)2=4(x2-y2)
Find points where tangent line is horizontal?
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Calculus 1
12/06/15
Shell Method; Washer Method
Find the volume of the solid of revolution formed when the region bounded by the given curves is revolved about the specified axis. REGION: y=tan x ; y=0 ; & x = pi/4 AXIS: x-axis
Calculus 1
12/04/15
Stuck on this question..
You are enjoying a nice summer day at the beach. You throw a handful of sand up from the bottom of a hole with an initial velocity of 32 feet per second. The sand must rise 17 feet above the...
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Calculus 1
12/04/15
Im stuck on this question..
A farmer wishes to build three identical rectangular pens side-by-side. The total area of all three pens must be 1500 square feet. What is the least amount of fence which can be used to construct...
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Calculus 1 Optimization
12/03/15
i to build a box with a square base and an open front. i only has 60 sq. ft. of cardboard to use. what are the dimensions of the box with the largest volume?
i am in a calculus 1 course and we are learning about optimization
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Calculus 1
12/02/15
Find a formula for Rn for the function f(x) = (3x)^3 - 3x on [0, 2] in terms of N. Rn=?
I keep getting the wrong answer. I know the area is 102, but I can't find the formula.
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Calculus 1 Related Rates, Rates, Derivatives, Calculus
12/02/15
How fast is the length of the shadow on the building decreasing?
A spotlight on the ground shines on a wall 40 feet away. A 6 foot tall man walks from the spotlight toward the building at a rate of 5 ft/sec. How fast is the length of his shadow on the building...
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12/02/15
Find all points where the tangent line is horizontal or vertical
Find all the points where the tangent line to (y^3)-xy=-6 either horizontal or vertical
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12/02/15
Show that the rectangle of a perimeter is always a square.
Show that the rectangle of a minimum perimeter for a given area A is always a square.
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12/01/15
Find average value of the function!
Find average value of the function f(x)=3x^2 on the interval 1≤x≤3.
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Calculus 1 Calculus
11/27/15
derivative help
d/dx(2/3 x^3+πx^2+7x+1)
Evaluate the derivative below.
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area question 2
Find the area of the region between two curves below. (Hint: the answer is not 0)
y=x^3
y=x
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11/24/15
Differential Question
A metal fabricating company produces a cubical box with 5-inch sides, made from sheet aluminum. The standard tolerance for work of this kind is +/- (1/35) inch. What is the resulting possible...
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Calculus 1
11/22/15
Newtons method, sinx=1 find solution to 8 decimal places
Let sinx=1-x, use newtons method to find the solution accurate to 8 decimal places. Show initial guess, iteration equation, and all intermediate values prior to final answer?
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11/22/15
find domain, range, max, min, inc, dec, con cavity, abs max min
F(x)=2x4-3x3-10x2+20, find domain, range, maximum, minimum, increasing, decreasing, concavity, inflection points, absolute max/min?
Calculus 1
11/20/15
Linear Approximation Help!
Let g(x) = Integal of -25 to x^2 f(t) dt Use the techniques of linear approximation to approximate g(4.8) given the following information about f:f is continuous on (-00,00)f is an odd...
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Calculus 1
11/19/15
l'hospitals Rule, Reads as limit as x approaches infinity e to the x over 10 all over x cubed
lim ex/10
x→infinity -------
x3
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Calculus 1
11/19/15
Prove that 9=f(4)=21 using information given
Suppose that f(0)=1 and 2≤f'(x)≤5 for all x in interval (0,4). Show that 9≤f(4)≤21
Calculus 1
11/19/15
draw a triangle in quadrant one that has a tangent line, derivate, that is tangent to y=4-x2
What is the smallest possible area of the triangle that is cut off by the first quadrant and whose hypotenuse is tangent to the parabola y=4-x2
Calculus 1
11/19/15
Calculus 1
Two sides of a triangle have lengths 12m and 15m. The angle between them in increasing at a rate of 2degrees/min. How fast is the length of the third side increasing when the angle between the...
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