(1 point) Use the divergence theorem to calculate the flux of the vector field F⃗ (x, y,z)=x3i⃗ +y3j⃗ +z3k⃗ out of the closed, outward-oriented surface S bounding the solid x2+y2≤4, 0≤z≤6.

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7 /8 x^2+x+ 31/8 ?

Ven the functions, f(x) = 5x2 - 3x + 1 and g(x) = 2x2 + x - 2, perform the indicated operation. when applicable, state the domain restriction. (f - g)(x) 3x2 - 4x + 3 3x2 - 2x - 1 3x2 - 4x - 1 3x2 - 2x + 3