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Concept explainers
22. Installing Cable TV MetroMedia Cable is asked to provide service to a customer whose house is located 2 miles from the road along which the cable is buried. The nearest connection box for the cable is located 5 miles down the road. See the figure.
(a) If the installation cost is S500 per mile along the road and per mile off the road, build a model that expresses the total cost C of installation as a function of the distance x (in miles) from the connection box to the point where the cable installation turns off the road. Find the domain of .
(b) Compute the cost if mile.
(c) Compute the cost if miles.
(d) Graph the function . Use TRACE to see how the cost C varies as x changes from 0 to 5.
(e) What value of x results in the least cost?
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Chapter 1 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)
- Complete the table. Enter DNE if a quantity doesn't exist or NEI if not enough information is given. f(c) limx-->c- f(x) limx-->c+ f(x) limx -->c f(x) continuity at x=c 2 4arrow_forwardFind the indefinite integral. (Use C for the constant of integration.) 9x arcsin(x) dxarrow_forwardFind the indefinite integral using the substitution x = 5 sin(e). (Use C for the constant of integration.) 1 dx (25-x²)3/2arrow_forward
- Find the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of integration.) √ ׳ √x² - 49 dxarrow_forward2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following statements is correct? , the graph of h is increasing at an increasing rate. (A) For (B) For (C) For 苏|4 K|4 π π , the graph of h is increasing at a decreasing rate. 2 0 and b>1 (B) a>0 and 01 (D) a<0 and 0arrow_forward3. Consider the sequences of functions fn: [-T, π] → R, sin(n²x) n(2) n (i) Find a function f : [-T, π] R such that fnf pointwise as n∞. Further, show that f uniformly on [-T,π] as n→ ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]? Justify your answer. [10 Marks]arrow_forwardGood Day, Please assist with the following. Regards,arrow_forwardFor each given function f(x) find f'(x) using the rules learned in section 9.5. 1. f(x)=x32 32x 2. f(x)=7x+13 3. f(x) = x4 4. f(x) = √√x³ 5. f(x) = 3x²+ 3 x2arrow_forwardFind: lim x →-6 f (x) limx-4 f (x) lim x-1 f (x) lim x →4 f (x) (-6,3) • (-1,5) -8 -7 (-6,-2) 4+ (4,5) (4,2) • (-1,1) -6arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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