A sales team estimates that the number of hew phones it will sell is a function of the orice that it sets. It estimates that if it sets the price at x dollars, it will sell (x) = 3,232 – 8x phones. Therefore, the company's revenue is x · (3,232 – 8x). Find he price x that will maximize the company's - revenue.

Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: For the radioactive substance, the equation of life is given by: N=N0e-kt...(1)

Q: d-n Let c and d be two positive numbers, and a, = (1 + Use the strategy from Example 8 (on page 583)...

A:

Q: the average rate of change of the function f(x)=3 tan(0.35x), over the interval [−2,−1]. What is ...

A: Given query is to find the average rate of change for indicated interval.

Q: verify the inverse function theorem of y=4x^2+4x+9

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Q: The wind-chill index is modeled by the function W = 13.12 + 0.62157 - 11.37v0.16 + 0,3965TV0.16 wher...

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Q: « (x - })" 2. Calculate the fourth term of

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Q: How y The Salid shown in figure consists of a Cene of radins(r) and height (hi) and a cylinder ofrad...

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Q: The graphs of two functions f and g are shown below. 4 3 2 12 4 5 -2 -4 a. Write a function formula ...

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Q: Verify the inverse function theorem of y = Vx +2

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Q: Find the limit of the sequence, using L'Hôpital's rule when appropriate. n2 8n

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Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If = increase in 1...

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Q: Given cost function C(q) = q° - 130q + 24000q, what is the minimum average cost? per item. (Round to...

A: The cost function Cq=q3-130q2+24000q

Q: 21. The complementary solution, Ye, of the equation y" + 2y" + y = 10 is (a) ye = Cie-* + Cze- + C3 ...

A: The given equation is; y"'+2y"+y'=10.

Q: d. On what interval(s) of x is ƒ(x) decreasing? Preview e. On what interval(s) of x is f concave up?...

A: solution:-(d) f(x) is decreasing in the interval x∈-0.5, ∞(e)f(x) is concave up in the interval =DNE

Q: 8. A race involves 10 participants. In how many ways can 14, 2nd, 3rd and 4th place occur? In how ma...

A:

Q: Given the the parametric curve Sx(t) = ¿e" – 12e* + 32t %3D 1 y(t) t5 – 6t + 10 dy (a) Find an expre...

A: We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: xt=12e2t-12et+32tyt=1t...

Q: The height of a cone is decreasing at a constant rate of 3 centimeters per minute. The volume remain...

A: Given,          The height of a cone is decreasing at a constant rate of 3 centimeters per minute.  ...

Q: minutes

A: Follow the procedure given below.

Q: At what points (x.y.z) in space are the functions continuous? a. h(x.y.z) = In (4z - 3x-y? - 4) 1 b....

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Q: What is the area of the integral of f (x) = 2within the interval [1, 4]?

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Q: 10203040-10102030405060-10 You are a lifeguard and spot a drowning child 40 meters along the shore ...

A: Follow step 2 and 3.

Q: 1. (a) Use the given values for f(x) and g(r) to fill in the following table: f(z) g(z) f(9(x)) -4 -...

A:

Q: Given cost function C(g) = q° - 130q + 24000q, what is the minimum average cost? A It would be $ per...

A:

Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level o...

A: Given:         The atmospheric pressure                       P'=-kP Measurements with barometer sho...

Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

A:

Q: 18. Determine the roots of the auxiliary equation of y" + 3y" – 4y' – 12y = 0 (а) —3, —2,2 (b) -3, –...

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Q: 6. у" — 2у' %3D 5

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Q: Find the radius of convergence and the interval of convergence. of Σ k(k + 1) k=1 1) First apply the...

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Q: 5. Which of the following equations is not a variable separable? dy dy ry + 3x - y - 3 ry – 2x + 4y ...

A: To write the equations which are not a variable separable differential equation. 

Q: 12. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and...

A: Given

Q: How 4 The Salid shown infigure consists ofa cone of radins (k) and height (hit and a cylinder of rad...

A:

Q: b. Find the slope of the curve at the given point. y* = 2x; (648,6)

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Q: Construct a frequency distribution table and  Show solution. Compute the following: a. Class Bound...

A:

Q: Sx sin2x dx

A: I am integrating the above term by integration by parts method. 

Q: NgOZp5p4CnlLGsL9a. E The monthly profit for a small company that makes long-sleeve T-shirts depends ...

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Q: of (x)} = h %3D a Find leughth

A: Length=integration of  square root of 1+(f'(x)) 2

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

A:

Q: What is the area of the integral of f(x) = 13 – 3x within the interval [1, 3]? AY 14 12 10 8+ 4 2- 0...

A: Integrate f(x) over interval [1,3].

Q: The graphs of two functions f and g are shown below. 3 -3 3 -3 a. Write a function formula for g usi...

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Q: Evaluate the integral (exact value). e6sin (87) + C e6x sin(8x) dx 7

A: We can find the integral as below using integration by parts as below.

Q: Use the formula for the binomial series: 1+ mx + 2! mm-1),2 + m(m-1).--(m-k+1) +... (1 + x)™ = ... +...

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Q: (3 + xy³)dx + (5y² – xy + y³ sin y) dy = 0 %3D Let M = y² + xy' and N = 5y² – xy + y³ sin y 13. The ...

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Q: lim(2x – 3) X→2

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Q: By considering different paths of approach, show that the function below has no limit as (x.y)→(0,0)...

A: We have to find set of curve and final conclusion based on above question. 

Q: At 9:00am a thermometer reading 70° F is taken outdoors where the temperature is 15°F.At 9:05am, the...

A: Newton's law of cooling is;dTdt=-k(T-Ta)dT(T-Ta)=-k dt(T-Ta)=C e-ktT=Ta + C e-kt

Q: 1 - (Integral test) n2 +1 ... .... n=1 8.

A:

Q: 3x? – 17x + 20 lim X4 4x2 - 25x + 36 Vx +5 - 2 lim x--1 x +1 Vx2 + 3 - 2 lim X-1 x2 -

A: Topic = Limits

Q: The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a...

A: Solution : fx=x-5x+62a. if fx=0x-5x+62=0x-5=0,x+62=0x-5=0,x+6=0x=5,x=-6roots are,x=5,-6

Q: The graph shown is f (x) = V2x + 1. 3+ 54 3-2-141 2 3 4 5 -2 -3 -5 If g(x) = f(t) dt, what is g' (4)...

A: Given  f(x) = 2x+1  and  g(x) = ∫0xf(t) dt.

Q: C. Find the values of the constants c and k that make the function continuous at every number. S3x +...

A: