Amazing gadget corporation has determined a quadratic relationship between its selling price for its newest tablet and the company's daily profit. which of the following would be a reasonable estimate of the rate of change for the interval 200 ≤ x ≤ 300? a. 2 b.-2 c.1/3 d.-1/3

Solution:

Consider the Quadratic relationship, between its selling price for its newest tablet and the company's daily profit is given by,

f(x)= a x² + b x + c

Differentiating once

f'(x)= 2 a x + b

As, we have to find rate of change for the interval 200 ≤ x ≤ 300.

So, f(200)= 2 a ×200 + b= 400 a + b

f(300)= 2 a × 300 + b= 600 a + b

Rate of change for the interval 200 ≤ x ≤ 300

As considering , if the company is going through Profit, when the selling of the tablet is in the interval (200 ≤ x ≤ 300),

So, Reasonable estimate of the rate of change for the interval 200 ≤ x ≤ 300 considering if the company is making profit=2 →→Option (A)

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841