Since integral x^mdx = x^(m+1)/(m+1)+C.
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Find the indicated integral. Check your answers by differentiation. 1) du The slope f '(x) at...
The slope S'(x) at each point (x, y) on a curve y = S(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 + 4; (0, 3) 2) A) (x) 2x+ B) f(x) = 3x3 + 4x2 + 4x - 3 of(x) = 9x3 + 8x2 + 4x + 3 D)/(x) = 3x + 4x2 + 4x + 3
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 indicated composition of functions. f(x)= x² + 4, g(x) = 2x - 5, (fog)(x) = ? off g)(x) = 2x3 - 5x2 + 8x - 20 off g)(x) = 4x2 + 29 og)(x) = 2x2 + 3 of g)(x) = 4x2 - 20x + 29 O(g)(x) = 4x2.21
2. Using appropriate differentiation techniques (not the limit process Show all steps a) f(x) = (x® - 4x?)3 + 3Vx b) f(x) = 3x4 / (9x - 6) c) f(x) = ( (8x4 - 8)) (2x2+8x) 3. A product costs $20 to produce with an overhead of $4000, and sells for $40 per unit a) Find the cost, revenue and profit functions. b) Find the (x, y) coordinates of the breakeven point. c) Find the average profit function and the...
3). Find the indicated derivatives in each problem.( answer each). A). /(x) = 0.4x3 - 2.1x + 14.2 B). Ax) = -277 C)/(x) = 5x3 - 2x + 4x2 D). f(x) = 8x+5+4x?- 7
1. Calculate the definite integral 1 (229-33 +5) de (a) Find an antiderivative F(x)= (b) Evaluate F(2) F(2) = (c) Evaluate F(1) F(1) = (d) Calculate the definite integral 3x + 5) dx = 2. Calculate the definite integral. Give exact answers. Зе -Te du (a) Find an antiderivative F(*) = (b) Evaluate F(0) F(0) (c) Evaluate F(-1) F(-1) = (d) Calculate the definite integral.
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. -1/2 f(x) = x O A. 2 OB. 1 2 O C. 1 4 OD. 4
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval Check first to see if the graph crosses the x-axis in the given interval f(x) = 40"-3;[-4,5) The area between the x-axis and f(x) is (Do not round until the final answer. Then round to three decimal places as needed.)
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...
1) Solve the problem. 1) The resale value of a certain industrial machine decreases over a 10-year period at a rate that changes with time. When the machine is x years old, the rate at which its value is changing is 280(x - 10) dollars per year. By how much does the machine depreciate during the fourth year? A) A decrease of $1540 B) A decrease of $1820 C) A decrease of $8960 D) A decrease of $1680 The slope...