647 Answered Questions for the topic calc

03/20/22

Please help me to solve this.
Find x such that f(x)=0 for f(x)=-2x2-x
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03/20/22

Please help me to solve this.
Find f(-1) if f(x)=-2x2-x
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03/20/22

Your friend has loaned you $2500. Each week, you pay back $75 to this friend.
Your friend has loaned you $2500. Each week, you pay back $75 to this friend.a). Complete the following table, where m = number of months and d = debt owed. m d ... more
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03/20/22

Please help me to solve this.
At a particular gas station gas costs $3.35 per gallon, but if you buy a $4.50 car wash gas only costs $3.05 per gallon. Let C represent cost and g represent the number of gallons.a). Write an... more
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03/19/22

Assume an exponential function has a starting value of 5 and decay rate of 13%. Write an equation to model the situation.
Assume an exponential function has a starting value of 5 and decay rate of 13%. Write an equation to model the situation.
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03/19/22

If a staircase has 8 inches of rise for every 12 inches of tread, what is the slope of the staircase?
If a staircase has 8 inches of rise for every 12 inches of tread, what is the slope of the staircase?
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03/19/22

Factor the following expressions.
Factor the following expressions.a). 4x3y2-8xy2+32x3y3b). -2m2n-34mn-144nc). 9x2-25y2
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03/19/22

Fill in each blank with the appropriate word or phrase.
Fill in each blank with the appropriate word or phrasse.a). When solving systems of two equations you can have ___, ___, or ___ numbers of solutions.b). Rate of change is another name for... more
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Calc Calculus

03/16/22

related rates (one forumla)
The height of a cylinder is increasing at a constant rate of 7 inches per minute. The volume remains a constant 889 cubic inches. At the instant when the radius of the cylinder is 9 inches, what is... more
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Calc Calculus

03/16/22

related rates (one forumla)
The radius of a sphere is decreasing at a constant rate of 6 centimeters per minute. At the instant when the radius of the sphere is 66 centimeters, what is the rate of change of the volume? The... more
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Calc Calculus

03/16/22

related rates (one forumla)
The radius of a circle is decreasing at a constant rate of 3 inches per minute. At the instant when the radius of the circle is 8 inches, what is the rate of change of the area? Round your answer... more
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Calc Calculus

03/16/22

related rates (one forumla)
The height of a cylinder is decreasing at a constant rate of 4 feet per second, and the volume is increasing at a rate of 476 cubic feet per second. At the instant when the height of the cylinder... more
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Calc Calculus

03/16/22

How do you find the rate of change for a radius of a circle?
The radius of a circle is increasing at a constant rate of 7 inches per second. At the instant when the radius of the circle is 77 inches, what is the rate of change of the area? Round your answer... more
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Calc Calculus

03/14/22

Calculus - question
When air expands without gaining or losing heat, its pressure P and volume V are related by the equation P V 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 400 cm3... more
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Calc Calculus

03/14/22

calculus - related rates
A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.7 m/s. How fast is the tip of his shadow moving? Use 3 decimal places and correct units.
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Calc Calculus

03/14/22

calculus - related rates
A police car traveling south toward Sioux Falls at 160 km/h pursues a truck traveling east away from Sioux Falls, Iowa, at 140 km/h.At time t = 0, he police car is 42 km north and the truck... more
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Calc Calculus

03/13/22

Find missing coefficients - calculus
Let f(t)=a/(1+be^(.9t)), modeling cell growth. At t=0, the population is 20 and is increasing at 16 cells an hour.Find a and b.
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Calc Calculus

03/13/22

Particle in motion

A particle is in motion according to f(t)=9t/(t^2+9).A) when is the particle at rest?B) when is the particle moving in the positive direction?C) when is the particle speeding up? Slowing down?Thank... more
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Calc Calculus

03/13/22

Water draining from a tank

The tank holds 3500 gallons of water. The volume of the tank is given by v=3500(1-(t/50))^2, t between 0 and 50A) At what time is the water flowing out the fastest?B) The slowest? Thank you!
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Calc Calculus

03/08/22

Find  f'(t) and f'(3)
If f(t) = (t2 + 5t + 7) (3t2 + 6) find f'(t) find f'(3)
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03/06/22

Calculus, horizontal tangent

For what values of x does the graph of f have a horizontal tangent? F(x)=x + 2sinxTake the derivative and set it equal to zero, right? I got f'=1+2cosx and set it equal to zero and got x=2pi/3, but... more
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03/06/22

Calculus, find the limit
Find the limit of sin3x/(5x^3 - 4x) as x goes to zero.
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Calc Calculus

03/01/22

calculus - derivatives
Differentiate the following functions. A, B, and C are constants.(a) g(x) = Ae^x cos(Bx)(b) h(x) = ln(Cx^5 )
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Calc Calculus

02/28/22

calculus - derivatives
Let f(x) = x^2 sin( 1/x ). Find the equation of the tangent line at x = 2/π
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Calc Calculus

02/28/22

Differentiate the following functions

Differentiate the following functions. A, B, and C are constants. (a) g(x) = Ae^x cos(Bx) (b) h(x) = ln(Cx^5 )
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