Find the partial derivative of the following function `Z=(5x^(2)-4y)(2x+7y^(3))`

Find the angle between the following pairs of line: (-x+2)/(-2)=(y-1)/7=(z+3)/(-3)a n d(x+2)/(-1)=(2y-8)/4=(z-5)/4

Find each of the following products: (-7/5x y^2z)xx((13)/3x^2y z^2) (-(24)/(25)x^3z)xx(-(15)/(16)x z^2y)

Find each of the following products: (i) (-5x y)xx(-3x^2y z) (ii) 1/2x y\ xx2/3x^2y z^2

Find the degree of the following polynomials 2/3 xyz^3+ 3/5 x^2 y^2 z^2 +1/2 x^3 y-y^4 z

find the values of x,y and zfrom the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

Find the parametric equations of that circles : 2x^2 + 2y^2 - 5x - 7y-3=0

Find the values of lambda if the following of lines perpendicular : (1-x)/(3) = (7y-14)/(3lambda)=(z+1)/(2) and (7-7x)/(3lambda) = y/1 = (1-z)/(5)

Find the values of x, y and z from the following equations:(i) [[4, 3],[x,5]]=[[y, z],[1, 5]] (ii) [[x+y,3],[ 5+z, x y]]=[[6, 3],[ 5 ,8]] (iii) [[x+y+z],[ x+z],[ y+z]]=[[9],[ 5],[ 7]]

If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it to solve the following system of equation 5x - y + 4z = 5, 2x + 3y +5z = 2, 5x - 2y + 6z =-1

Find the following products: (i) (z^2+2)(z^2-3) (ii) (3x-4y)(2x-4y) (iii) (3x^2-4x y)(3x^2-3x y) (iv) (x+1/5)(x+5)