Sketch the graph of the curve y = (x + 2) (2x - 3)² on the axes below. Include the coordinates of any points where the curve cuts or touches the axes. y 0

Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: Ex1 Let f(x) = 4x + :f(x), g(x) € 75[x] f(x). g(x). Where Compute f(x) + g(x). and 2 g(x) = 3x² +…

A: Given problem:- f(x) =4x3 +2x2 +x+3 g(x) = 3x4+3x3+3x2+x+4  Find:- f(x) +g(x) and f(x) •g(x)

Q: Graph the following function over the indicated interval. y=exl; [-5,5] ...

A:

Q: x + 2y +32 = -1 - 2 + 5y +7z=5 +3₂ = 5 32 4y 2. X+Y-2=3 Sx - 2y + 2 = 8 x + 3y + 4z = 5 1.

A: To find the solution of the linear equations (1) x+2y+3z=−1   ...(a) −z+5y+7z=5 ⇒5y+6z =5…

Q: 2 3. The matrix A = -7 0 1 k eigenvalues in terms of k. has one of its eigenvalues equal to 5.Find…

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: Describe verbally the transformation(s) that can be used to obtain the graph of g from the graph of…

A: topic - transformations

Q: 4. Let V be a vector space over C and let L: V → V be a linear transformation. State the definition…

A:

Q: Which equation is the graph of line that is perpendicular to the line: 6 y=-=x+7 7 7 6 x + 12 7…

A: This is a problem related to perpendicular line equation. Based on the general formula and concept…

Q: Solve the equation for x. (7x+30)³ = 64x³ ... X = (Simplify your answer. Use a comma to separate…

A:

Q: (a) When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are…

A: a)  5 dices, each can have 6 possible outcomes..  One of the outcomes can be "2 3 1 6 6"  Hence,…

Q: Fill in the missing values to make the equations true. (a) log₂ 7 – log₂ 5 = log₂ = (b) log, 7 +…

A: We know that, 1) loga (mn)=loga m + loga n 2) loga (m/n)=loga m - loga n 3) loga (mn) =n loga m

Q: Without graphing Om to the following system: solving the system, classify the solution 5x + 5y = 1…

A: We can find the answer in the following steps.

Q: How much should be invested now at an interest rate of 5.5% per year, compounded continuously, to…

A: We can find the answer as below.

Q: 6. Discuss the nature of the solutions of the given equation without solving. A) 7x² + 5x - 1 = 0 B)…

A:

Q: 1. Discuss the convergence and divergence of the series E-1 3 + cos n en

A: We have to find if the given series converges.   According to our guidelines we can solve only one…

Q: Determine the Wo fourth root of 16+ 16i in exponential form. COMPLETE THE MISSING THE BLANKS FOR THE…

A: To determine the w0 fourth root of 16+16i in exponential form.

Q: Find the image of (−3, 7)(−3, 7) after a 90°90° rotation counterclockwise about the origin.

A:

Q: If the perimeter of a rectangle is 38 cm and the area is 84 square cm, then what are the dimensions…

A:

Q: 4 If R is a commutativ ring, show that the characteristic of R[X] is the same the characteristic of…

A: Given

Q: polynomial expression is shown below. ex(4x3 + 8x2 - 12) - (x2 + 4)(x2 + 7) The expression is…

A: Topic = Algebra e =9

Q: V = set of all pairs of real numbers. (x,y) Q3 Prove that such as 2 (x, y) + (x²₁ y ₁ ) = (x + x² +…

A: Given:V= the set of all pairs of real numbers x,y.The operations are given…

Q: Malia left a $19 tip on a $95 restaurant bill. What percent tip is that? (Enter your answer rounded…

A:

Q: For the function f(x)=6x2-x, evaluate and simplify. f(x+h)-f(x)/h=

A: Evaluating the given expression

Q: water level of a river in the city of Melbourne changed by − 4 1/4 feet over a 3-month period. Which…

A: Given query is to find the average rate of chnage per month.

Q: Charmaine deposited $4000 into an account with 2.5% interest, compounded quarterly. Assuming that no…

A:

Q: 3)x=y=11 2x+v=19

A: Topic = Equations

Q: Misha has a new rabbit that she named “Wascal”. She wants to build wascal a pen, so that the rabbit…

A:

Q: balance

A:

Q: How many 3-digit multiples of 5 can you form using the digits and 9 without repetition?

A: Please see the below picture for detailed solution.

Q: 6- Show that the Polynomial has a Z4 [x] 2X+1 in multiplicative invers. in 24 [x].

A: Given

Q: An initial amount of $1900 is invested in an account at an interest rate of 8% per year, compounded…

A:

Q: The population of a city increased from 225,000 in 2015 to 248,000 in 2020. Find the relative…

A: A detailed solution is given below.

Q: Use the Venn diagram shown to list the set (B nC)'in roster form. U 1 B 6 7 12 A 3 4 C 10 11 15 13 8…

A: Solving the problem by finding the roster form.

Q: What is the Borda score of MANNY? (A) 69 (B) 96 86 70 Number of Votes 1st Rank 2nd Rank 3rd Rank 14…

A:

Q: Find the limit of the series 3-1 + 3-2 + 3-3 + ...+ 3-n+ ... additionally, write the sum in sigma…

A:

Q: By using the inverse formula, find the inverse of the 2×2 matrix (if it exists). -12 3 a. 5 b. 7 2 1…

A:

Q: give example of each set: 1. Infinite Set 2. finite Set 3. Cardinal number 4. Equal Set

A:

Q: A polynomial expression is shown below. (9x4 - 2x2) + (x2 - 4)(qx2 + 4) The expression is…

A: We expand and cross check with the given simplified expression.

Q: 5. Design an algorithm that asks the user for the name of a text file containing a grid of numbers…

A: answer is in next step

Q: can you let me know how you came up with the sollution with the fractions for number 2 and 6?  for…

A: Have provided you a detailed solution of the questions in a more understandable way.

Q: Graph of f(x) Given the following graphs of the first and the second derivatives of the function (x)…

A: topic- first derivative test

Q: Solve using the following system by determinants following Cramer's rule. x+y+z = 5 x - 2y - 3y = −1…

A: We have to slove determinants by use camer's rule

Q: ection: Write an equation that will solve x. X 41° 2. 10 1. 36 20 125 5 3. 25 95° 5.5

A: Topic:- trigonometry ratios in triangle

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O {{1, 2}, {3,4}, {5, 6}} O…

A: topic - relation

Q: 3- Find Eigenvalues and Eigenvectors for the following matrices: [104 [3 i- A = [2¹0] ii- A = 0 2…

A: Solution

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x + 1 1 A =-=-unit² 3 B unit²…

A:

Q: he graph of f shown in the figure to sketch the graph of each of the following. A) y=f(x)-3 (B)…

A:

Q: Consider the following function: x4 x3 h(x) x² + 5x 12 6 Find the open intervals on which h(x) is…

A:

Q: Prove the following Theorem. Let A and B be sets and f a function from A to B. Then the following…

A: We will prove it by using basic definition.

Q: Question le Letf.g N-N be functions. For each of the following statements, mark whether the…

A: Given: The functions f,g:ℕ→ℕ. To determine: If the following statements, potentially together with…