25,270 Answered Questions for the topic calculus
Calculus
10/20/23
Don't know how to solve
Verify the given linear approximation at a=0. Then use a graphing calculator or computer to determine the values of x for which the linear approximation is accurate to within 0.05. (Round your...
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Calculus
10/20/23
Don't know how to solve it
Verify the given linear approximation at a=0. Then use a graphing calculator or computer to determine the values of x for which the linear approximation is accurate to within 0.05. (Round your...
more
Calculus
10/19/23
Help, so confused
Suppose that we don't have a formula for g(x) but we know that g(3)=−5 and g'(x)=√(x2+7) for all x.(a) Use a linear approximation to estimate g(2.99) and g(3.01). (Round your answers to two decimal...
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Calculus
10/19/23
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
A) Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)=e^-3x , [0,2] Choose the correct answer:
Yes, it does not matter if f is continuous or...
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Calculus
10/19/23
Show that the equation sin(x)-3x+2=0 has exactly one real root.
Show that the equation sin(x)-3x+2=0 has exactly one real root.A) Let f(x)= sin(x)-3x+2f(0)=____ (</>) 0f(pi/2)=_____ (</>)0B) fill in the blanksSince sin x, 3x and 2 are continuous on...
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Calculus
10/19/23
Show that the equation sin(x)-3x+2=0 has exactly one real root.
Show that the equation sin(x)-3x+2=0 has exactly one real root.A) Let f(x)= sin(x)-3x+2f(0)=____ (</>) 0f(pi/2)=_____ (</>)0B) fill in the blanksSince sin x, 3x and 2 are continuous on...
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Calculus Math
10/19/23
is there a removable discontinuity somewhere?
(12+x-3x2)----------------- x2-4the denominator = 0 at x=2 and x=-2 but I cant factor the top term to find out if theres a removable disconintuity or notthank you
Calculus
10/19/23
What does y'' mean in calculus?
Calculus
10/19/23
Question in Calculus
A street light is at the top of a 12 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she...
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Calculus
10/19/23
Question in Calculus
A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3.1 ft/s.(a) How rapidly is the area enclosed by the ripple increasing when the radius is...
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Calculus
10/19/23
Question in Calculus
At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 18 knots. How fast (in knots) is the distance between the ships changing...
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Calculus
10/19/23
Could you help me with one question in calculus?
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 1.5 square cm/minute. At what rate is the base of the...
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Calculus Math
10/19/23
Extreme problem help needed
Consider the function B(x)=x^a(1-x)^b on 0≤x≤1, with a,b>0.Absolute Maximum value: ______
Calculus
10/18/23
At what rate is the volume of the snowball changing when the radius is 14 cm. Round your answer to the nearest tenth.
A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min. At what rate is the volume of the snowball changing when the radius is 14 cm. Round your answer to...
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Calculus
10/18/23
The rate of change of the volume is ____ cubic meters per hour.
The radius of a sphere is increasing at a rate of 5 meters per hour. When the radius is 12 meters, then how fast is the volume changing?Note: Volume of a sphere = (4/3)⋅π⋅(radius)3The rate of...
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Calculus
10/18/23
The rate of change of the area enclosed between the circle and the square is ______ square meters per hour.
A circle is inside a square.The radius of a circle is increasing at a rate of 1 meter per hour and the sides of the square are decreasing at a rate of 1 meter per hour.When the radius is 5 meters,...
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Calculus
10/18/23
The rate of change of the area is ______ square meters per minute.
The radius of a circle is decreasing at a rate of 2 meters per minute.When the radius is 14 meters, then how fast is the area changing?The rate of change of the area is ______ square meters per...
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Calculus
10/18/23
The rate of change of area is ______ square meters per hour.
The length of a rectangle is decreasing at a rate of 2 meters per hour and the width is increasing at a rate of 3 meters per hour.When the length is 11 meters and the width is 16 meters, then how...
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Calculus
10/18/23
The rate of change of the hypotenuse is ______ meters per minute.
The base of a right triangle is increasing at a rate of 4 meters per minute and the height is increasing at a rate of 3 meters per minute.When the base is 10 meters and the height is 16 meters,...
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Calculus
10/18/23
The rate of change of area is _______ square meters per day.
The base of a right triangle is increasing at a rate of 4 meters per day and the height is increasing at a rate of 1 meter per day.When the base is 10 meters and the height is 16 meters, then how...
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Calculus
10/18/23
Let xy=1 and dy/dt=5. Find dx/dt when x=1.
Let xy=1 and dy/dt=5. Find dx/dt when x=1.
Calculus
10/18/23
Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when r=3. Round your answer to the nearest tenth.
Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when r=3. Round your answer to the nearest tenth.
Calculus
10/18/23
Show that the equation sin(x)-3x+2=0 has exactly one real root.
Show that the equation sin(x)-3x+2=0 has exactly one real root.A) Let f(x)= sin(x)-3x+2f(0)=____ (</>) 0f(pi/2)=_____ (</>)0 B) fill in the blanksSince sin x, 3x and 2 are continuous on...
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