2. Using appropriate differentiation techniques (not the limit process Show all steps a) f(x) = (x®...
please do all three parts:)thanks a ton Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product changes at the rate C'(x) = -8x-2 + and the average cost of 8 units is $12.00. (a) Find the average cost function. T(X) = (b) Find the average cost of 16 units. (Round your answer to the nearest cent.) Cost, revenue, and profit are in dollars and x is the number of...
please show work, im so lost on all of these Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
Find the indicated integral. Check your answers by differentiation. 1) du The slope f '(x) at each point (x, y) on a curve y = f(x) is given along with a particular point (a, b) on the curve. Use this information to find S (x). 2) f'(x) = 9x2 - 8x + 2; (0,7) 2) A) f(x) - 3x3 - 4x2 + 2x - 7 B) Ax) = 3x - 8 C)/(x) - 9x3 - 8x2 + 2x + 7...
#10. Define f: R ® R defined by f(x) = 4x2. Let A = [0, 4] and B = [-3, 0]. #10(a) Find the sets f(A), f(B), f(A) Ç f(B), and f(A Ç B). Is f(A Ç B) = f(A) Ç f(B)? #10(b) Find the sets which are inverse images: f -1(A), f -1 (B), f -1 (A) Ç f -1 (B), and f -1 (A Ç B). Is f -1 (A Ç B) = f -1 (A) Ç f...
2. Find the limits of the following functions if they exist. Show all necessary work. If the limit is co or -00, then state this rather than that it does not exist: (2 points each) a. lim x+3 V6x-2-4 x-3 b. lim arctan(3x) x sin(x) 3. Find the average value of the function f(x) = 4x2 + 8x -1 on (-1, 3).
b) Show that (1+i) is a zero of F(x) = 2x^5 - 9x^4 +12x^3 -4x^2 - 8x +4 c) Find all of the ZEROES of F(x)
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
Use implicit differentiation to find the following. (Round answers to four decimal places as needed. If only th (xy)2 + xy - x = 3,(-3,0) (a) the expression of the slope of the tangent line in terms of x and y dy. -2012 – y + 1 dx2xy + x (b) the equation of the tangent line at the indicated point on the graph y = Use implicit differentiation to find the following. (Round answers to four decimal place In(x...
a-f Differentiate the following by using the product rule: w 9x² – 2)(3x + 1) (c) x² (4x+6) (e) (2 - x)(1+x)(x+21 (b) (3x + 10)(6x2 - 7x) (d) (ax - b)(cx2) (f) (x2 + 3)x-1 co Given AR = 60 - 3Q, plot the average-revenue curve, and then find the MRC