If f(x) = then what is the value of _{0}∫^{π/2} f(x) dx =
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Find the area of the triangle with the vertices (2,3), (4,1), (5,0).
For which of the elements in the determinant Δ= the cofactor is 37.
What is the relation between the two determinants f(x) = and g(x) =
Find the equation of the line joining A(5,1), B(4,0) using determinants.
For which of the following elements in the determinant Δ= the minor of the element is 2?
Find the value of k for which the points (3, 2), (1, 2), (5, k) are collinear.
For which of the following element in the determinant Δ= the minor and the cofactor both are zero.
Which of the following conditions holds true for a system of equations to be consistent?
Differentiate (log2x)^{sin3x} with respect to x.
Find the second order derivative of y=9 log t^{3}.
If the rate of change of radius of a circle is 6 cm/s then find the rate of change of area of the circle when r=2 cm.
A given systems of equations is said to be inconsistent if _____
The edge of a cube is increasing at a rate of 7 cm/s. Find the rate of change of area of the cube when x=6 cm.
Find the value of x and y for the given system of equations.
3x+2y=6
5x+y=2
The rate of change of area of a square is 40 cm^{2}/s. What will be the rate of change of side if the side is 10 cm.
Find the second order derivative of y=2e^{2x}3 log(2x3).
The total cost P(x) in rupees associated with a product is given by P(x)=0.4x2+2x10. Find the marginal cost if the no. of units produced is 5.
Find the value of x, y, z for the given system of equations.
2x+3y+2z=50
x+4y+3z=40
3x+3y+5z=60
At what rate will the lateral surface area of the cylinder increase if the radius is increasing at the rate of 2 cm/s when the radius is 5 cm and height is 10 cm?
If the circumference of the circle is changing at the rate of 5 cm/s then what will be rate of change of area of the circle if the radius is 6cm.
8 docs148 tests

8 docs148 tests
