Question and Answers Forum
DifferentiationQuestion and Answers: Page 6
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Question and Answers Forum |
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DifferentiationQuestion and Answers: Page 6 |
| A man walks along straight path at a speed 4 ft/s. A spotlight is located on the ground 20 ft from the path and is kept focused on the man. At what rate is spotlight rotating when the man is 15 ft from the point on the path closest to the light? |
| For 0≤x≤1 , maximum value of f(x)=x(√(1−x+(√(1−x)))) is __ |
| f(x,y)=((√(3xy^2 )))(((x^5 y^2 ))^(1/5) ) f^′ (x,y)=? f′′(x,y)=? |
| y=((√(3xy^2 )))(((x^5 y^2 ))^(1/5) ) y′=? y^(′′) =? |
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| Use implicit differentiation to find (d^2 y/dx^2 ) for siny = x |
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| { ((y=sec^n θ−cos^n θ)),((x=sec θ−cos θ)) :} xy ′+(x^2 +y^2 )y′′ =? |
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| h(x)= determinant (((sin x cos x tan x)),((cos 2x sin 2x tan 2x)),(( x^3 (1/4)x^4 xsin x))) h′(0) =? |
| show that ∫_1 ^( +∞) (((x−⌊x⌋)/x^2 ))dx = 1 − γ |
| Resoudre le systeme (dx/dt)=4x+6y (dy/dt)=−3x−5y (dz/dt)=−3x−6y−5z |
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| Find max and min local of function y= ((x+2)/(x^2 +3sin (3x)+4cos (3x))) |
| prove that ∫_0 ^( ∞ ) (( (√x))/(1 +7x^( 2) + x^( 4) )) dx = (π/( (√( 90)))) |
| Find (dy/dx) if y = 3sin^2 (x−5x^2 ) |
| y=x^x^x (dy/dx)=? |
| y=xsin (x) (d^(35) y/dx^(35) )=? |
| Corona virus (covid −19) is spreading through a certain country. Let the constant S be the number of people susceptible to infection. The infection rate is proportional to the the product of the already infected people (x) and the number of susceptible but but uninfected people (S−x). establish the differential equation. |
| how is the solution of this qustion f(x)=x(x−1)(x−2)(x−3)(x−4)∙.......∙(x−100) f^′ (x)=? f′(1)=? |
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