+91-93193 64476
FlagBACK
Flag Differential Calculus> The slope of the tangent to the curve at ...
question mark

The slope of the tangent to the curve at a point (x,y) on it is proportional to (x-2). If the slope of the tangent to the curve at (10, 9) on it is -3. The equation of the curve is
Ans. y = (-3/16) (x-2)2 + 3

Meghana , 7 Years ago
Grade 11
anser 1 Answers
Sushant Kumar
the constant term should be 21
 
dy/dx=k(x-2)     where k is proportionality constant
 
at (10,9)  dy/dx=-3  hence
-3=k(10-2)   implies k=-3/8
 
dy/dx=(-3/8) *(x-2)
dy=(-3/8)*(x-2)*dx
 
integrating we get (-3/8)*((x-2)^2)/2)+c=y
 
now put x=10 and y=9 as the are the point of the curve and we get c=21
Last Activity: 7 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on differential calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Find dy/DX when y=x^sinx+sin-1√x.
 
Please give me the solution of this problem. 
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
1 Answer Available

Last Activity: 4 Years ago