Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the limit of h(x) as x approaches 2, where the function is 15 12x h(x) = \x +3 2x2 + 8x.

Q: 7.1 f(x) = (x³ – 2a² + 5)(xª – 3x² + 2). %3D 7.2 f(x) %3D (낮):. 7.3 f(x)= (x² – 1)( ). %3D T2+2

A: Here we have to find the f'(x) of the following function.  7.1)  f(x)=(x3-2x2+5)(x4-3x2+2)7.2)…

Q: uestion 1. Consider the second order partial differential equation = c? dx² (1) r an unknown…

A:

Q: 1. Solve and check for extraneous roots. a) log₂x + log₂(x + 2) = 3 b) log5(2x + 1) = 1 − log5 (x +…

A:

Q: Question 2 Evaluate the following limits: 2.1 lim, 3(x³ + 2)(x² – 5x). |r+4| 2.2 lim,-4-(). I+4

A: Given,        2.1 limx→3(x3+2)(x2-5x)=

Q: A cylindrical can has a radius of Sº, a height of h and a slip-on lid of fixed length a. If the can…

A: Radius of the cylindrical can = rHeight = hLength of slip-on lid = aCan and its lid are made from A…

Q: 4. Which one of the following is used for categorical data? Histogram b. Pie Chart Stem and Leaf a.…

A:

Q: Solve for x, correct to 3 decimal places. a) x = log317 b) log₂0.35 = x

A: Given: We have to solve for  correct upto  decimal places.

Q: Staying Cool Let 7 (x, y) be the temperature in a 10 ft x 10ft room on a winter night, where one…

A:

Q: core on a measure of junk food consumption (X) for 10 sampled students: Junk Food (X) Grumpiness (Y)…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: The joint density function of continuous random variables X and Y is given by: cxy, 0 1).

A:

Q: Suppose the following scatterplot shows data relating the number of visitors at Richmond Beach, y,…

A:

Q: Question 5 Let f(x) = { 3x2 4 – x² if x >1 3.x2 if x < 1 Determine whether or not f (x) is…

A: A function f(x) is said to be continuous at a point x=a if the function is defined at that point and…

Q: Question 8 Differentiate the following with respect to the independent variables 8.1 y = In|2t +3|+…

A: Solve the following

Q: Solve for x, correct to 3 decimal places. Check for extraneous roots. 52x = 2(5)* + 1

A:

Q: An aged care office has staffing concerns about the number of calls they receive. If the number of…

A: Poisson distribution: A random variable X is said to have a Poisson distribution with a parameter λ…

Q: 2. The percentage of the part of the moon facing earth that is illuminated can be modeled by a…

A: The percentage of part of the moon facing Earth that is illuminated can be modeled by a sinusoidal…

Q: What is the probability that all the officers are women? Round your answers to at least 4 decimal…

A: Part 4) From Part (1), the number of difference possible choices is 1330.

Q: 4. Find the exact value of sin Show all steps that lead to your final answer. (Note: You should…

A:

Q: 3. Given the formula R = log() + B, which is the formula for the magnitude of an earthquake.…

A: Given,

Q: Amanda buys a bag of cookies that contains 6 chocolate chip cookies, 7 peanut butter cookies, 7…

A: Given that 6 chocolate chip cookies, 7 peanut butter cookies, 7 sugar cookies and 6 oatmeal raisin…

Q: 2. Given that the instantaneous rate of change of a polynomial function is never zero on the entire…

A: Instantaneous rate of change of a function is nothing but the slope of tangent of a function.If…

Q: 2. Evaluate each using the power laws of logarithms without the aid of a calculator. a) log1000-2 b)…

A:

Q: How is mathematics incorporated in this shape

A: Given figure is of a Snowflake. A snowflake is an excellent example of incorporation of mathematics…

Q: 4.) 12a sin(x - 2) dx

A:

Q: d. Give an expression for P(X <æ).

A:

Q: Find the area of the surface generated by revolving the curve y = /8x – x² on the interval sa <…

A:

Q: Town MHF determines the amount of property tax (P) in hundreds of dollars as a function of the…

A: Given that the amount of property tax in hundreds of dollors as a function of the building size in…

Q: 3. Consider the matrices A = |-1 2 2| and B= -1 1 1 -1 -1 (a) Find AT. (b) Compute A². (c) Calculate…

A:

Q: Find the area bounded by y=-17(x2 - x - 12) and the x-axis. Answer in two decimal places.

A:

Q: 5. For the functions f(x) = log₂ (x) and g(x) = log₂ (x - 1): a. Sketch the functions, identifying 4…

A:

Q: 1. A grocery store sells two types of breakfast cereals, Cereal A and Cereal B. Breakfast cereals…

A:

Q: function P(x) Csin(x)y, for 0 ≤ x ≤ and 1 ≤ y ≤ 2 h value of C is P(x) a joint probability density…

A: