1,272 Answered Questions for the topic differential equations

Differential Equations

05/01/19

If x=a (Cos(t) +t^2) and y=a (Sin(t) +t^2+t^3) then dy/dx equals to?
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Differential Equations

05/01/19

How can I differentiate from the first principles cos x^2?
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Differential Equations

05/01/19

How do you solve this differential equation: Sqrt (1+x^2) dy + sqrt (1+y^2) dx = 0?
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Differential Equations

05/01/19

How do you use synthetic division to evaluate f(x) = 6x^3+2x^2+5x-11 when x = -1?
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Differential Equations

05/01/19

How do you use synthetic division to evaluate f(x) = -4x^4-2x^3+x^2-3x+15 when x = -3?
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Differential Equations Calculus Differentiation Related Rates

04/29/19

At what rate is the water level rising?
A swimming pool is 20 m long, 5 meters wide, has sides in the shape of a right triangle, and slopes downward so that it is 4 meters deep at the deep end. Water is being pumped into the pool at 2m^3... more
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Differential Equations

04/26/19

Is the inverse of y = e^x+x^2 a function?
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Differential Equations

04/26/19

What are the roots of the equation x^2 – x ― 72 = 0?
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Differential Equations

04/26/19

I need help with this problem?
Use dimensional analysis to show how many hours per week must you work to afford gas for your car if you drive 13,000 miles each year, gas costs $2.50 per gallon, your car gets 25 miles per gallon,... more
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Differential Equations

04/24/19

Determine the values of x that would maximize the volume
Volume = x^3 - 7x^2 + 12x
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Differential Equations

04/23/19

What is the differentiation of 1/1+x^2+2x?
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Differential Equations

04/23/19

If (3x + 5y) : (7x - 4y) = 7 : 4 then how do you find the ratio x : y?
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Differential Equations

04/23/19

If x : y = 2 : 5, y : z = 4 : 3 then how do you find x : z?
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Differential Equations

04/23/19

ODE 2y''-y'=1, y(0)=0, y'(0)=0
Hello dearsIt's such a crazy question, but I just confused that how can I find general solution!!?2y''-y'=1, y(0)=0, y'(0)=0I tried with these forms but couldn't find!1) y=c1*c^x +... more
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Differential Equations

04/23/19

Writing an equation
the width of the rectangle shown is x inches, and the length is (3x+2) inches. write an expression representing the perimeter of the rectangle?
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Differential Equations Calculus Differential Calculus

04/18/19

How many sets should be made and sold to maximize the weekly profit?
A manufacturer sells each of his TV sets for 85 dollars. The cost C (in dollars) of manufacturing and selling x TV sets per week is C=1500+10x+0.005x^2. If at most 10,000 sets can be produced per... more
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Differential Equations Calculus Differential Calculus

04/18/19

Find the number of trees per acre that will give the greatest yield per acre.
An orchard has an average yield of 25 bushels per tree when there are at most 40 trees per acre. When there are more than 40 trees per acre, the average yield decreases by ½ bushel per tree for... more
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Differential Equations Calculus

04/15/19

What was the mass of the isotope after 20 days?

The mass of an isotope decreases at a rate that is proportional to the mass at that time. The mass of the isotope was 40 grams initially and it was 10 grams after 16 days.
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Differential Equations Calculus

04/13/19

What is n in this case?
If f'(x)= [f(x)]2 and f(0)=1 then f(6)= 1/n for some integer n
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Differential Equations Calculus Precalculus Functions

04/13/19

calculus help me
Find the range of the function f(x)=x2-2x+1 if x∈[-2:3)
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Differential Equations

04/13/19

How many million barrels of oil did the company export annually after 10 years?
The number of barrels of oil a certain company exports annually increases at a rate that is proportional at any time to the number of barrels they export at that time. The company exported 5.4... more
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Differential Equations Calculus Gmat

04/12/19

calculus, differentiable function
Find b , if it is known that the function f(x)={x+3 if x<3 ; ax2+bx if x>=3 is differentiable, where a and b are parameters.
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Differential Equations

04/08/19

Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
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Differential Equations

04/02/19

Help please with equations
given the equation y=-x+20 and y=x-8 which values of x and y satisfy both equations
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Differential Equations Math Algebra

03/22/19

Two numbers have a sum of 17. Four times the smaller number is 8 more than double the larger. Find the numbers.

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