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A police jeep, approaching an orthogonal...

A police jeep, approaching an orthogonal intersection from the northern direction, is chasing a speeding car that has turned and moving straight east. When the jeep is 0.6 km north of the intersection and the car is 0.8 km to the east. The police deteremine with a radar that the distance between them and the cae is increasing at 20 km/hr. If the jeep is moving at 60 km/hr at the instant of measurement, what is the speed of the car?

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SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-ADDITIONAL QUESTIONS
  1. A police jeep, approaching an orthogonal intersection from the norther...

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  2. If a particle moves is a straight line according to s=t^(3)-6t^(2)-15t...

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  3. The law of linear motion of a particle is given by s=1/3t^(3)-16t, the...

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  4. If the rate of increase of s=x^(3)-5x^(2)+5x+8 is twice the rate of in...

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  5. The point on the curve y=x^(2) is the tangent parallel to X-axis is

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  6. The equation of the tangent to the curve y=x^(2)-4x+2 at (4, 2) is

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  7. Equation of the normal to the curve y=2x^(2)+3sinx at x = 0 is

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  8. The least value of a when f(x)=x^(2)+ax+1 is increasing on (1, 2) is

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  9. The value of lim(xto oo)e^(-x) is

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  10. The critical points of the function f(x)=(x-2)^(2/3)(2x+1) are

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  11. The equation of the tangent to the curve x=tcost,y=tsint at the origin...

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  12. In LMV theorem, we have f'(x(1))=(f(b)-f(a))/(b-a)" then "altx(1)

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  13. If the slope of the curve 2y^(2)=ax^(2)+b at (1, -1) is -1, then the v...

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  14. If the curves y=2e^(x)andy=ae^(-x) intersect orthogonally, then a =

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  15. The function -3x + 12 is function on R.

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  16. The function f(x)=x^(9)+3x^(7)+64 is increasing on

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  17. If x + y = 8, then the maximum value of xy is

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  18. The curve y=e^(x) is

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  19. lim(xto0)x/(tanx) is

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  20. The statement ''If f has a local extremum at c and if f'( c) exists th...

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  21. Identify the incorrect statement.

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