Find the equation of a hermite cubic spline that passes through points (1, 1) and (3, 2) andwhose tangent vectors are as follows: a. tangent at (1,1): defined by line connecting (1,1) to (0,1)b. tangent at (3,2): defined by line connecting (3,2) to (4,1)sketch the curve and the blending functions for the defining points and vectors of a parametric cubic curve.

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil

For f(x)=2x+3 and g(x)=x^2- 8 find (f+g) (x)

Determine the function’s value when x = -1 a. g(-1)=-3 b. g(-1)=0 c. g(-1)=1 d. g(-1)=27