647 Answered Questions for the topic calc

09/30/21

Calculus problem with Linear Approximation

Use linear approximation, i.e. the tangent line, to approximate  1/0.502 as follows: let f(x)=1/x and find the equation of the tangent line in slope-intercept form to f(x) at a "nice" point near ... more
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09/30/21

linear approximation calculus question
The linear approximation at  x=0 to f(x) = (1)/(sqrt(8-x)) is L(x) = A + Bxwhere A = ??B = ??
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09/30/21

If f ( x ) is a function which is continuous everywhere, then we must have
Let f(x)={8x−2 ifx ≤ 10 {−8x+b if x>10If f ( x ) is a function which is continuous everywhere, then we must haveb = ?
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09/30/21

PLEASE HELP Related Rates Calculus
Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes?Note: The volume of a sphere is given by V = (4/3)pi*r^3
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09/29/21

Related Rates Calculus question - A helium balloon
Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes?Note: The volume of a sphere is given by  V = (4/3)pi*r^3
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09/28/21

a particle moving calculus question
A particle is moving along the curve y=5(sqrt 5x-1) . As the particle passes through the point (3,20), , its x coordinate increases at a rate of 2 units per second. Find the rate of change of the... more
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09/28/21

Related rates Calculus problem
Suppose xy = 1 and dy/dt = -3. Find dx/dt when x = -4
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09/28/21

Related Rates Calculus Question
if y^2 + xy - 3x = 14, and dy/dt = -4 when x = -2 and y = -2, what is dx/dt when x= -2 and y= -2
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09/27/21

Related Rates Calculus Question
if y^2 + xy - 3x = 14, and dy/dt = -4 when x = -2 and y = -2, what is dx/dy when x= -2 and y= -2
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09/26/21

Spherical Balloon increasing radius Calculus Problem

The radius of a spherical balloon is increasing at a rate of 3 centimeters per minute. How fast is the volume changing, in cubic centimeters per minute, when the radius is 10 centimeters?
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09/26/21

Radius increasing sphere Calculus Problem
Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes? Rate of change of radius (in feet per second) = 14400
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09/26/21

Street light Calculus Problem
A street light is at the top of a 20-ft-tall pole. A 6-ft tall woman walks away from the pole with a speed of 7 ft/sec along a straight path (see figure). How fast is the tip of her shadow moving,... more
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09/26/21

Street light Calculus Problem
A street light is at the top of a 20-ft-tall pole. A 6-ft tall woman walks away from the pole with a speed of 7 ft/sec along a straight path (see figure). How fast is the tip of her shadow moving,... more
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09/26/21

Street light Calculus Problem
A street light is at the top of a 20-ft-tall pole. A 6-ft tall woman walks away from the pole with a speed of 7 ft/sec along a straight path (see figure). How fast is the tip of her shadow moving,... more
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09/26/21

Street light Calculus Problem
A street light is at the top of a 20-ft-tall pole. A 6-ft tall woman walks away from the pole with a speed of 7 ft/sec along a straight path (see figure). How fast is the tip of her shadow moving,... more
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09/26/21

Street light Calculus Problem
A street light is at the top of a 20-ft-tall pole. A 6-ft tall woman walks away from the pole with a speed of 7 ft/sec along a straight path (see figure). How fast is the tip of her shadow moving,... more
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09/26/21

Conical Tank Water Leak Calculus Problem
Water is leaking out of an inverted conical tank at a rate of 14100.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6.0... more
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09/26/21

How many employees does Mr. Salt have working each day, how many hours/shifts do they work, how many trucks are delivering & unloading Wonka Bars each day?
Salt's Peanuts normally has most of their workers shell peanuts. However, for 5 straight days Mr. Salt has had his employees opening Wonka Bars looking for the golden ticket. He claims they've been... more
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09/25/21

Implicit differentiation question

If 2x^2+5x+xy =1 and y(1)= -6 find y'(1)=?
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09/25/21

Implicit differentiation question

If 2x^2+5x+xy =1 and y(1)= -6 find y'(1)=?
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09/22/21

calculus interest rate question
If 1300 dollars is invested at an annual interest rate r  compounded monthly, the amount in the account at the end of 4 years is given byA = 1300 (1 + 1/12(r) ) ^48Find the rate of change of the... more
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09/22/21

Calculus Problem, brightness of a star
A Cepheid variable star is a star whose brightness, B , alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6.1... more
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09/20/21

Calculus Problem, object on rope
An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle t with the plane, then the magnitude of the force is F... more
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Calc Calculus

09/15/21

Difference Quotient and Derivative of a Function
Difference Quotient and Derivative of a Function
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09/12/21

tangent line equations
find the equation of the tangent line to the function f(x)= 5/ (x^2) at the point (1,5). I tried finding the derivative to get the slope and then using y=mx+b to solve from there but I still am... more
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