z z For the function z = - 7x + 4y - xy, find (3,4), and...

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z z For the function z = - 7x + 4y - xy, find (3,4), and 2(3,4). z d || Find fx and fy- f(x,y) = -2ex-8y fx(x,y) = For the function f(x,y) = xy, find f, and f,. fx = Find the four second-order partial derivatives. 5 f(x,y) = 4xy - 2xy +6y fxx (x,y)= 67 Find the four second-order partial derivatives for f(x, y) = 8x5y + 3xy7. Find fxx fxy: fyx and fy for the following function. (Remember, fx means to differentiate with respect to y and then with respect to x.) yy f(x, y) = 12yln x fxx II A sports company has the following production function for a certain product, where p is the number of units produced with x units of labor and y units of capital. Complete parts (a) through (d) below. 32 5.5 p(x,y) = 2000x y (a) Find the number of units produced with 29 units of labor and 1395 units of capital. p= units (Round to the nearest whole number.) The following formula is used by psychologists and educators to predict the reading ease, E, of a passage of words, where w is the number of syllables in a 100-word section and s is the average number of words per sentence. E = 224.519-0.602w - 1.162s JE w (Simplify your answer.) The cost, C, to rent a vehicle is a linear function of m, the number of miles driven and d, the number of days it is rented, where C = f(m,d) = am + bd + c. The contour diagram of C is to the right. Complete parts a) through e) below. ac ac a) Find and Include units. m ad ac m (...) p's ep 16 1- 0- 0 C=f(m.d), Rental Cost 74 88 102 116 56 84 miles, m 28 130 112 140 The equation A=(t,P) = Pe e0.035t gives the balance after t years of an initial investment of P dollars which pays 3.5% compounded continuously. Complete parts a) through c) below. a) Find a formula for A (t,P). JA dt -=A (tP) = z z For the function z = - 7x + 4y - xy, find (3,4), and 2(3,4). z d || Find fx and fy- f(x,y) = -2ex-8y fx(x,y) = For the function f(x,y) = xy, find f, and f,. fx = Find the four second-order partial derivatives. 5 f(x,y) = 4xy - 2xy +6y fxx (x,y)= 67 Find the four second-order partial derivatives for f(x, y) = 8x5y + 3xy7. Find fxx fxy: fyx and fy for the following function. (Remember, fx means to differentiate with respect to y and then with respect to x.) yy f(x, y) = 12yln x fxx II A sports company has the following production function for a certain product, where p is the number of units produced with x units of labor and y units of capital. Complete parts (a) through (d) below. 32 5.5 p(x,y) = 2000x y (a) Find the number of units produced with 29 units of labor and 1395 units of capital. p= units (Round to the nearest whole number.) The following formula is used by psychologists and educators to predict the reading ease, E, of a passage of words, where w is the number of syllables in a 100-word section and s is the average number of words per sentence. E = 224.519-0.602w - 1.162s JE w (Simplify your answer.) The cost, C, to rent a vehicle is a linear function of m, the number of miles driven and d, the number of days it is rented, where C = f(m,d) = am + bd + c. The contour diagram of C is to the right. Complete parts a) through e) below. ac ac a) Find and Include units. m ad ac m (...) p's ep 16 1- 0- 0 C=f(m.d), Rental Cost 74 88 102 116 56 84 miles, m 28 130 112 140 The equation A=(t,P) = Pe e0.035t gives the balance after t years of an initial investment of P dollars which pays 3.5% compounded continuously. Complete parts a) through c) below. a) Find a formula for A (t,P). JA dt -=A (tP) =