हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Choose the correct alternative: Find the point on the curve 6y = x3 + 2 at which y-coordinate changes 8 times as fast as x-coordinate is

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

Find the point on the curve 6y = x3 + 2 at which y-coordinate changes 8 times as fast as x-coordinate is

विकल्प

  • (4, 11)

  • (4, – 11)

  • (– 4, 11)

  • (– 4, – 11)

MCQ
Advertisements

उत्तर

(4, 11)

shaalaa.com
Meaning of Derivatives
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Applications of Differential Calculus - Exercise 7.10 [पृष्ठ ५४]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 7 Applications of Differential Calculus
Exercise 7.10 | Q 5 | पृष्ठ ५४

संबंधित प्रश्न

A particle moves along a straight line in such a way that after t seconds its distance from the origin is s = 2t2 + 3t metres. Find the average velocity between t = 3 and t = 6 seconds


A particle moves along a straight line in such a way that after t seconds its distance from the origin is s = 2t2 + 3t metres. Find the instantaneous velocities at t = 3 and t = 6 seconds


A camera is accidentally knocked off an edge of a cliff 400 ft high. The camera falls a distance of s = 16t2 in t seconds. How long does the camera fall before it hits the ground?


A camera is accidentally knocked off an edge of a cliff 400 ft high. The camera falls a distance of s = 16t2 in t seconds. What is the average velocity with which the camera falls during the last 2 seconds?


A camera is accidentally knocked off an edge of a cliff 400 ft high. The camera falls a distance of s = 16t2 in t seconds. What is the instantaneous velocity of the camera when it hits the ground?


A particle moves along a line according to the law s(t) = 2t3 – 9t2 + 12t – 4, where t ≥ 0. Find the total distance travelled by the particle in the first 4 seconds


A particle moves along a line according to the law s(t) = 2t3 – 9t2 + 12t – 4, where t ≥ 0. Find the particle’s acceleration each time the velocity is zero


If the mass m(x) (in kilograms) of a thin rod of length x (in metres) is given by, m(x) = `sqrt(3x)` then what is the rate of change of mass with respect to the length when it is x = 3 and x = 27 metres


A beacon makes one revolution every 10 seconds. It is located on a ship which is anchored 5 km from a straight shoreline. How fast is the beam moving along the shoreline when it makes an angle of 45° with the shore?


A conical water tank with vertex down of 12 metres height has a radius of 5 metres at the top. If water flows into the tank at a rate 10 cubic m/min, how fast is the depth of the water increases when the water is 8 metres deep?


A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5 m/s. When the base of the ladder is 8 metres from the wall. How fast is the top of the ladder moving down the wall?


A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5 m/s. When the base of the ladder is 8 metres from the wall, at what rate, the area of the triangle formed by the ladder, wall, and the floor, is changing?


Find the points on the curve y2 – 4xy = x2 + 5 for which the tangent is horizontal


Find the tangent and normal to the following curves at the given points on the curve

y = x2 – x4 at (1, 0)


Find the tangent and normal to the following curves at the given points on the curve

y = x4 + 2ex at (0, 2)


Find the tangent and normal to the following curves at the given points on the curve

x = cos t, y = 2 sin2t at t = `pi/2`


Find the equations of the tangents to the curve y = 1 + x3 for which the tangent is orthogonal with the line x + 12y = 12


Choose the correct alternative:

The position of a particle moving along a horizontal line of any time t is given by s(t) = 3t2 – 2t – 8. The time at which the particle is at rest is


Choose the correct alternative:

A stone is thrown, up vertically. The height reaches at time t seconds is given by x = 80t – 16t2. The stone reaches the maximum! height in time t seconds is given by


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×