The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation. 20- 15- 10- C(x) = 6 + /2x + 32 OSx5 50 5- Perform the following calculations and interpret the results. 10 20 30 40 50 Production ..... 1 C'(x) = 1 2 (2x + 32) C'(16) = 0.125 C'(34) = Cost (hundred dollars)

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: olve the given problem related to population growth. he number of bacteria N(t) present in a culture…

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Q: If x1/2 =(42)1/24 then find the value of x

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Q: X/6-1/3=1/2

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Q: Solve. a) ln(x+1) + ln(x-1) = 0 b) e8-5x = 16 c) ln(2x) - ln4 = 3 d) 2ln(x+3) = ln(12x)

A: a) use logarithmic identities to solve the given equation as.

Q: How can I get from 7.9y / 9x = 19 / 80 to y = 0,2706x ?

A: 7.9y9x   = 1980  Multiply both side 9x,9x*7.9y9x   = 9x*19807.9y= 9x*1980Divide both side by…

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Q: x) = (1/3)x - 6

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Q: 3. Solve: 8. 1. x+2

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Q: 15. (12x) mAD = (2x +5) mBC = mDC = (17x - 14) MDBC = Sign out DELL ON *00 E.

A: As per guideline We have to solve one question  We have to find arc

Q: x² + 8x + 5 x³ + 8x / dx

A:

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 4.…

A: Given: 4. Equation of curve is y=x3-12x2+5x+1 and a line y=9x-2. To find: Equation of normal line to…

Q: 2=1/2 - x/10

A: Here, the equation is given:

Q: Please rewrite the following functions in the form f(t) = aekt. (a) Q(t) = √e3+6t (b) P(t) = (2…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.