For the differential equation y(n)+p1(t)y(n−1)+ ... +pn(t)y=0 with solutions y1, ..., yn Abel's formula for the Wronskian is W(y1,...,yn)(t)=Ce−∫p1(t)dt. Use Abel's formula to find the Wronskian of a fundamental set of solutions of the differential equation y′′′+7y′′−y′−3y=0.

Ngrid mixes 3.6 pounds of almonds with some raisins to make a trail mix. she divides the trail mix into 12 equal portions. each portion weighs 0.7 pound. how many pounds of raisins did she use to make the trail mix? express the answer to the nearest tenth.

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?