Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions using the Canvas Equation Editor along with explanations of the intermediate steps that demonstrate your understanding of the derivative

Q: If C is the total cost in US Dollars ($) at which y units of a specific commodity may be produced,…

A: Let's find.

Q: We are interested in comparing the average supermarket prices of two leading colas in the Tampa…

A: Given Data : Sample Size, n = 8 Sample Mean, x̄ = -0.0375 standard deviation,…

Q: Part 1 of 5 g(-3) - Part 2 of 5 g (3): = Part 3 of 5 g (-2) Part 4 of 5 g (0) Part 5 of 5 g (4): = X…

A: we are given a piecewise function and we need to find out the values of the function at the given x.

Q: (x + 1)² F(x) 1)-[1 = Find the value of F(1). Find the value of F'(1). For what values of z does F…

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Q: 5. Evaluate limh-o L" V1+ t³ . 1 (2+h h→0 dt

A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the…

Q: If f(9) = 8, and f'(9) = 9, and S² =² 9 ["* f(x)dx = 3, determine 2 x². f"(x)dx

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Q: Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating…

A: Let "X" = students attend graduation.

Q: Factor. 72-4:-3

A: The given expression,            7z2-4z-3

Q: probability that more than 60% of 34 r/s students from this university pass all their classes.

A: Here sampling distribution of the sample proportion is approximately normal as per central limit…

Q: I need help with this practice question. Can you please explain to me how to solve step by step?

A: The minimum perimeter is 26 m with dimensions 10m×6m.Explanation:Step 1To find the minimum perimeter…

Q: X²+2 Suppose that fcx) = 35+23+2 d Find & Simplify : f(g(x)). & gcx) = √x+5

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Q: Find the general solution to the system corresponding to the following matrix. 1 5 00 7 A = 0 0 1 2…

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Q: 3D= 9 Stxx 2x Solve fractiodal( equation on Solving eed KAOW 11

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Q: Assume the equations for A , B , C, and D can all be written in the form y = ab'.Which function has…

A: The exponential function: y=abt is increasing, if a>1 and is decreasing, if 0<a<1.

Q: (25a¹) (7a-²b)² 2 72 1 2 for a = 11, b = 10

A: The given expression 25a4-17a-2b212. We have to evaluate this expression for a=11, b=10.

Q: Give the values of A and B for the function f(x) to be continuous at both x = 1 and x = 7. Ах — В x…

A: Given: Now, at x=1, limx→1-fx=limx→1Ax-B=A-B

Q: You are given the same test scores (x) and weekly sales (y) data as in problem 7a. Weekly Sales…

A:

Q: Use the rules of differentiation to differentiate the following functions: d. (2x) e. y= 3sinx 1.…

A: To use the rules of differentiation to differentiating the following functions.

Q: 3. Find the solution of the PDE in terms of two arbitrary functions. 2uxx 4uxt + Up = 0

A:

Q: 1. Through how many radians do the minute hand and hour hand of an analog clock each move in a 100…

A: Given, A analog clock  We have to find the how many radians minute hand and hour hand of  clock move…

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each…

A: Given:     To determine: f(g(x)) g(f(X)) f and g are inverse of each other other or not

Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: Find an explicit solution of the given initial-value problem. dx 4(x + 1), x(7/4) = 1 dt

A: Given that      dx/dt = 4(x2 + 1) , x( π /4) = 1 Here we find an explicit solution of the given…

Q: A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomly…

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Q: 3. What is lim f(x)? lim f(x)? Why? 10+ 8. 6 4 2- -5 -4 -3 -2 -1 2 3 4 4. What is the limit of lim…

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Q: 1. For a coin with 0.5 probability of tossing heads, which result below more clearly explains the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Although the playing surface of a football or soccer field appears to be flat, its surface is…

A: Given: f(x) = - 0.000234 ( x - 80 )2 + 1.5

Q: Calculate the probable outlier data points.

A: Lower quartile = 13 Upper quartile = 24.5

Q: Calculate the standard error of the difference in means. Round to the second decimal place (ex.…

A: It is given that  For sample 1 Mean = 3.70Sample standard deviation = 1.98 Sample size = 15   For…

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.