19 Answered Questions for the topic Differential Calculus

6d

y' + y tan x + 1 = 0

Help me answer this differential equation. Thank you.
Differential Calculus

18d

Find the derivative of x=1/2(t^4)-5t-3 using the long method

Find the derivative of x=1/2(t^4)-5t-3 using the long. Show complete solution
Differential Calculus

18d

Differentiate the function h(x)=x^pi-x^√2

Differentiate the function h(x)=x^pi-x^√2
Differential Calculus

18d

T(x)=√x + 9 ^3√x7 -2/^5√x^2

Differentiate the function T(x)=√x + 9 ^3√x7 -2/^5√x^2
Differential Calculus

18d

Differentiate the fuction f(t)=2t+1/t+3

Differentiate the fuction f(t)=2t+1/t+3
Differential Calculus

18d

Differentiate the function f(x)=3-2x+4

Differentiate the function f(x)=3-2x+4
Differential Calculus

19d

Find the dy/dx of y=sin (x^2+3x+1)

Derivative of trigonometric and inverse trigonometric functions. FIND DY/DX
Differential Calculus Calculus Derivative Related Rates

03/01/21

How do you solve this pesky related rates problem? (Daily Supply)

Hi. I am stuck trying to solve this problem:In a certain market, x thousand crates of apples are supplied daily. Each crate costs p dollars, and the supply equation ispx - 20p - 3x + 105 = 0.If the... more
Differential Calculus Calculus Function

12/13/20

A concrete company charges Php 25 per ft^3 for concrete, with a delivery charge of Php 10 added to each other. Hanna wants to fill a cube with concrete.

A concrete company charges Php 25 per ft^3 for concrete, with a delivery charge of Php 10 added to each other. Hanna wants to fill a cube with concrete. Concrete the cost of filling - up a cube as... more
Differential Calculus Math Calculus Normal

05/12/20

Find The Equation Of Each Normal

Find the equation of each normal of the function f(x)=(1/3)x3 + x2+x−(1/3) which is parallel to the line y = (−1/4)x + (1/3).
Differential Calculus Math Calculus Mathematics

05/09/20

Find The X Co-ordinate.

Find the x co-ordinate of the point where the normal to f(x) = x2 − 3x + 1 at x = −1 intersects the curve again.
Differential Calculus Math Calculus Mathematics

05/03/20

Find The Equation of Tangent

Find the equation of each tangent of the function f(x)=x^3+x^2+x+1 which is perpendicular to the line 2y+x+5 =0
Differential Calculus Math Calculus

05/02/20

Find the Equation of Tangent

Find the equation of each tangent of the function f(x)=x^3−5x^3 +5x−4 which is parallel to the line y = 2x +1
Differential Calculus Equations Of Motion

06/04/19

Differential Calculus, Equation of motion

The equations of motion of a point moving around an ellipse are: x=cos2*pi*t and y=2sin2*pi*t. When and where after t = 0 will the acceleration be maximum? Find this maximum acceleration.Ans.... more
Differential Calculus Calculus Time Rates

05/27/19

Differential Calculus Problem, A bombardier is sighting on a street....

A bombarider is sighting on a street on the ground directly ahead. If the bomber is flying 2 miles above the ground at 240 mi/hr, how fast must the sighting instrument be turning when the angle... more
Differential Calculus Calculus Differential Equations

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
Differential Calculus Calculus Differential Equations

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
Differential Calculus Calculus Velocity Derivatives

09/29/15

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 1/(t^2), where t is measured in seconds.

Find the velocity of the particle at t = a, t = 1, t = 2, and t = 3
Differential Calculus Calculus

09/29/15

Find the slope of the tangent to the curve y  = 3 + 4x^2 +2x^3 at the point where x = a

Does it start something like:   ((-2x^3 + 4x^2 +3) - (-2a^3 + 4a^2 + 3)) /(x - a)   If so, where do I go from there? How would I go about simplifying? I am grateful for any help! 

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