5. Determine the values of m and n for f(x)=mx³+20x²+nx-35 given that (x+1) gives a remainder of zero, and when divided by (x-2) the remainder is 45. [T5], [C3] 6. Use algebra to determine whether the following function is even, odd or neither. [A6] a) f(x)=55x4-x2-78 b) f(x)=37x³+93x

5. Determine the values of m and n for f(x)=mx³+20x²+nx-35 given that (x+1) gives a remainder of zero, and when divided by (x-2) the remainder is 45. [T5], [C3] 6. Use algebra to determine whether the following function is even, odd or neither. [A6] a) f(x)=55x4-x2-78 b) f(x)=37x³+93x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 51E

See similar textbooks

Related questions

Q: 6) Define the angle between two nonzero functions ƒ and g by with 0 ≤0πT. cos(0) (f,g) || f ||||g9||…

Q: 2) Consider the inner product (p,q) = p(x)q(x) dx on C[0,1] – the space of functions continuous on…

A: a) Orthonormalizationbasis = {1, x, x², x³, x⁴, x⁵}; orthonormalBasis = GramSchmidt[basis,…

Q: Please and show work

A: 7. Nationwide, a certain disease occurs only a small proportion of people (.000215). A certain town…

Q: Help me solve this question with step by step working out.

A: First, we need to find the derivative of the function f(x) = x^3 * e^x. This involves using the…

Q: Don't use chat gpt

Q: Need help I don't understand.

A: Let's further break down the graphical representation and concepts for better clarity.c. Graph for…

Q: Find the value of k that makes the following differential equation exact. kr cos(80) dr5r² sin(80)…

A: Basically, We will use the condition for a differential equation to be exact to calculate the value…

Q: What is the partial-fraction expansion of the attached function?

A: We find the partial fraction expansion of:F(s)=s(s+2)(s+5)27s+30=sK1+s+2K2+s+5K3 We will…

Q: solve v(0)=1000 , v(t)=(1+Ce^(-19.63t))/(1-Ce^(-19.63t)) Solve for t* 10 m/s = (1+…

A: Given the equation v(t)=1−Ce−19.63t1+Ce−19.63t, and the initial condition v(0)=1000. Let's solve…

Q: Separate variables and use partial fractions to solve the initial value problem. Use either the…

A: Step 1: Step 2: Step 3: Step 4:

Q: quick pls and give me step by step. Thank you

A: (a) Building the First ModelProblem StatementThe goal is to develop a mathematical model to rank…

Q: 1. Prove the following statement.If (rn), (sn), (tn) are sequences of real numbers such that8n 2 N;…

A: The problem is asking us to prove that if we have three sequences of real numbers (r_n), (s_n),…

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

Q: Exercise 25: Shou sign any YE Sn = Sign (4-1)

A: Step 2: Step 3: Step 4:

Q: Don't understand.

A: Part f: Constructing the World Relative Supply CurveTo construct the world relative supply curve, we…

Q: A medical practice collects data on its patients with respect to several personal habits. The…

A: Step 1:Here given probability , x0123P(x=X)0.380.320.250.05 Step 2:Discrete distribution have…

Q: Pls help ASAP. pls show all work and steps. Pls circle the final answer

A: 3. The function f(x) = 5x is an exponential function. To find which point it passes through, we need…

Q: Exercise 2.2.4. Give an example of each or state that the request is impossible. For any that are…

A: Let's break down each part of the problem in detail, exploring why the given answers are valid and…

Q: 1. Fill in the tables below for each of the following polynomials: [K10] a) f(x)=-4x³-13x²+3x-9…

A: The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the…

Q: Problem 1 Find a basis for the kernel and the image of the following maps. Also find the dimension…

A: Step 1:Step 2: Step 3: Step 4:

Q: Exercise 2. If h : A → B is an injection and C C A, then h[A\C] = h[A] \ h[C]. Definition. Let S be…

A: Solution-

Q: Problem 2. Prove the theorem: If there is an xy-walk in a graph G, show that there is also an…

A: Step 1:Assume the opposite of what we want to prove, Suppose that, there is an xy-walk in G but no…

Q: not use ai please

A: Step 1:To determine the language accepted by a DFA, we need to analyze the paths from the start…

Q: 5) Let S = {1, 02, 03, 04} be an orthonormal set of functions on −1 ≤ x ≤ 1 using the usual inner…

A: Step 1:Step 2:(b) What does the result from (a) remind you of?The result in part (a) is essentially…

Q: Q1.8, I need help for both please

A: 1) Now for a Grey Diamond, the actual value of Insurance Charges (Y) is given as $22411 The equation…

Q: Don't use chat gpt It Chatgpt means downvote

Q: (1) A pulling force 7=32 lb is applied to the cord, which is wound securely around the inner hub of…

A: Step 1: Step 2: Step 3:

Q: Linear AlgebraShow calculations

Q: Dennis Lamenti wants to buy a new car that costs $15,115.65. He has two possible loans in mind. One…

A: Loan Option 1: Car Dealer Loan (Add-On Interest)For the add-on interest loan, we need to calculate…

Q: 1. Translate the following sentences into FOL, using the Tarski's World predicates 1. the identity…

A: Summarized Table:SentenceTranslation (FOL)d and e are both the same size as…

Q: 2. Consider the transformation T : P₂ → R2×2 defined by a T(ax² + bx + c) = ( c² a-b 2 c+3a Prove…

A: We determine whether the transformation T is linear by checking two conditions for linearity:1.…

Q: Ex. 53) Determine whether the set is independent.i 7 c(2/2) F 133

A: since the set is not provided or it is not clear in the question only the method can be provided. if…

Q: Pls help ASAP, and pls show all work and steps and circle the final answer.

A: Step 1:Step 2: Step 3: Step 4:

Q: dont understand the question.

Q: 2. For this problem, you should only use the definition of a basis, no tricks involving the…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 113. The points A, B and C represent the complex numbers a, ẞ and y respectively. AABC is…

Q: The differential equation 3xy² - 10xy + (3x²y — 5x² - 2) Has solutions of form F(x, y) dy dx = c…

Q: 3. Prove whether or not the following vectors form a spanning set for R³. 0 {(3)·(9)·(9)}\

Q: Solve the initial value problem yy' + x = √√ x² + y² with y(4) = −√√20. To solve this, we should use…

A: We start with the differential equation: yy' + x = √(x² + y²) with the initial condition y(4) = -√20…

Q: not use ai please

A: a) Any linear combination of these vectors lie in the span:b)

Q: Problems 23.1. Use the ratio test to compute the radius of convergence of the following series: 1…

A: Certainly. Let's solve these problems step-by-step using the ratio test to find the radius of…

Q: Problem 5 (Intersections and unions of subspaces) Let V be a vector space. Let U and W be subspaces…

A: Step 1:Step 2: Step 3: Step 4:

Q: A tank contains 1160 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the…

A: This problem is modeled using a first-order linear differential equation, based on the mixing of…

Q: (4) Determine (a) the force component perpendicular to line OA and (b) then calculate the moment…

Q: problem 1 please :)

A: Approach to solving the question: Detailed explanation: Examples: Key references:Philosophy

Q: Please help me with this question. I am really struggling in competing question. I keep on getting…

A: Step by step solutions: Problem 1: Work to Pump Water Out of a Hemispherical Tank Step 1:…

Q: Problem 4. Root at 3. Perform DFS on the graph in Figure 2, what is the evolution of the stack? 2 3…

A: Let's break down the Depth-First Search (DFS) process in detail, highlighting each step and…

Q: Also classify all critical points of the two functions

Q: Current Attempt in Progress F1 Your answer is partially correct. Mod remainders (S). Where would 124…

A: We find out where 124 would be on a mod 13 clock (where the clock goes from 0 to 12) by computing…

Q: Don't use chat gpt plz

A: To solve this problem, we need to find the first three nonzero terms in the Legendre series…

Question

5. Determine the values of m and n for f(x)=mx³+20x²+nx-35 given that
(x+1) gives a remainder of zero, and when divided by (x-2) the remainder is 45. [T5],
[C3]
6. Use algebra to determine whether the following function is even, odd or neither. [A6]
a)
f(x)=55x4-x2-78
b) f(x)=37x³+93x

AI-Generated Solution

AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.

Unlock instant AI solutions

Tap the button
to generate a solution

Click the button to generate
a solution

SEE SOLUTION