हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Choose the correct alternative: The abscissa of the point on the curve f(x) = 8-2x at which the slope of the tangent is – 0.25? - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

The abscissa of the point on the curve f(x) = `sqrt(8 - 2x)` at which the slope of the tangent is – 0.25?

विकल्प

  • – 8

  • – 4

  • – 2

  • 0

MCQ

उत्तर

– 4

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 6 | 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 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, at what rate, the area of the triangle formed by the ladder, wall, and the floor, is changing?


Find the slope of the tangent to the following curves at the respective given points.

x = a cos3t, y = b sin3t at t = `pi/2`


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


Find the angle between the rectangular hyperbola xy = 2 and the parabola x2 + 4y = 0


Choose the correct alternative:

A balloon rises straight up at 10 m/s. An observer is 40 m away from the spot where the balloon left the ground. The rate of change of the balloon’s angle of elevation in radian per second when the balloon is 30 metres above the ground


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


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


Choose the correct alternative:

Angle between y2 = x and x2 = y at the origin is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×