1.Evaluate the difference quotient and simplify the result. h(x) = x2 +x+32.The demand function for a commodity is p= 19.25/(1+0.01x') , x ≥ 0 where p is the price per unit and x is the number of units sold. (a) Find x as a function of p. (b) Find the number of units sold when the price is $10.
Evaluate the difference quotient and simplify the result. 1 f(x) X + 5 f(x + Ax) – f(x) ΔΧ
Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 3 + 5x − x2, f(4 + h) − f(4) h
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- Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
7.11 A rectangular loop carrying 10 A of current is placed on z = 0 plane as shown in Figure 7.32. Evaluate H at (a) (2,2,0) (b) (4,2,0) (c) (4, 8,0) (d) (0,0,2) 10 A 0 FIGURE 7.32 Rectangular loop of Problem 7.11.
Evaluate the difference quotient for the given function. Simplify your answer. f(x) = x2 + 3, f(4 + h) − f(4) h
101 102 10 10 10 10 10 10 - Increasing Frequency (v) 10 10 101 102 10v (Hz) Xrays UV || TR Microwave FM AM Long radio waves Radio waves 10 10 10-2 10 10 10 101 102 (m) 101 102 104 10' Increasing Wavelength () ► Visible spectrum 500 600 Increasing Wavelength() in nm -- Hz A wave has a wavelength of 1.00 E 14 meters. The frequency of the wave is A wave has a frequency of 7.11...
Part 1 Limit of a difference quotient 4 Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). Suppose (2) = - 2 (7+h)-(7) 1-10) lim A0 (0)-0 0 Part 2: Interpreting the limit of a difference quotient The limit of the difference quotient (your second answer) from Part 1 above is (select all that apply). A. the slope of the tangent line to the...
(5 pts) Let f(x)=-3x? +5x+2. Evaluate and fully simplify the difference quotient f(x+h)-f(x) h You must show all work to receive credit.
Find the difference quotient and simplify. s(x)8x2-8r+5 The difference quotient off(x) is □
Find the difference quotient and simplify. s(x)8x2-8r+5 The difference quotient off(x) is □