3(x-1) + 2 (x-1) 2 – (x-1) 3 , x = [1 , 2 ] S(x) = { a + b ( x-2 ) + c (x-2)2 + d(x-2) 2 , x = [ 2 , 3] Consider the piecewise function above. Find the values of a,b,c, and d that makes f ’ (1) = f ‘ (3)

3(x-1) + 2 (x-1) 2 – (x-1) 3 , x = [1 , 2 ] S(x) = { a + b ( x-2 ) + c (x-2)2 + d(x-2) 2 , x = [ 2 , 3] Consider the piecewise function above. Find the values of a,b,c, and d that makes f ’ (1) = f ‘ (3)

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.2: Linear Functions And Applications

Problem 33PS

See similar textbooks

Related questions

Q: 8. Find the minimum number of students needed to guarantee that 4 of them: (a) have last names which...

Q: 3. Prove that p is irrational for any prime p.

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the third question. Please...

Q: (2a) Let S = {S;}iej where I = {1,2, 3, ...} and S; = {i, i+ 1, i + 2| i e 1}. Prove or disprove the...

A: Partition of a set A is a collection of distinct subset say S={A1, A2, A3,...} , that satisfies the...

Q: 2. Determine one real root of 8 (sin x) e¯* – 1 = 0 with xo = using three iterations of Newton- Raph...

Q: Find a basis of the subspace of R* consisting of all vectors of the form X1 -8x1 + x2 —6х — 2х2 -6x1...

Q: Problem 8: Show that the ring D of quaternions is isomorphic to the ring а b M = -5 a

A: brief answer is given below.

Q: 3. Suppose your wallet contains ten P20 bills, five P50 bills, three P100 bills, one P500 bill, and ...

Q: Suppose x and y are positive real numbers. If x< y, then x² < y².

Q: 5. The graph of f(x, y) is shown to the right: Draw the following two cross sections and label the a...

A: (a) slicing the surface parallel to x-z plane at y=0. (red line) So for f(x,0)

Q: Let f( x,y(x) ) = y(x) +1 and y(0) = y0 = 2. Use pichard iteration and induction to show that yN (x)...

Q: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The follo...

Q: 0 -1 1 2 -1 A = -1

Q: The reduced row-echelon forms of the augmented matrices of four systems are given below. How many so...

A: The given problem is to determine how many solutions for the given systems with reduced row echelon ...

Q: ) Given the set set of e trii equatins param x= 2t -1 and y = 3t + 4 eliminate the parame er t and d...

A: Given parametric equation is x=2t2 -1 and y=3t+4

Q: (b) Prove by induction that (3i – 2)² = n(6n² – 3n – 1) for n 21 %3D i=1

A: Prove the equation ∑i=1n3i-22=12n6n2-3n-1 for all n≥1. Prove the equation for n=1. Substitute n=1 in...

Q: Assume that A = { 1, 3, 5, 8, 9}and that U = set of natural numbers less than 11. Find A'. * O { 2, ...

A: Given set A={1,3,5,8,9} where U is set of all natural number less 11 U={1,2,3,4,5,6,7,8,9,10} here ...

Q: A 4-kg mass is attached to a spring with stiffness 112 N/m. The damping constant for the system is 1...

Q: As a rental for a building, the owner received two offer: a) 50,000 a year for 8 years, the rental f...

Q: 2. Solve for one real root of f (x) = -14 – 20x + 19x? – 3x3 on the interval (-1,0) up to four itera...

Q: dy ay + b whose dt Write down a differential equation of the form all other solutions diverge from y...

Q: Solve 2x + cos a = 5 using Newton-Raphson method and an initial value of with an error less than 5%....

A: Newton Raphson Method:- For a function f(x) xi+1=xi - fxif'xi; i=0, 1, 2,.... Given equation is 2x...

Q: A cylinder is circumscribed about a cube. If the total area of the cube is 18 in?, what is the total...

A: The given question is related with geometry. Given that a cylinder is circumscribed about a cube . A...

Q: HW 12 1. Find bases for the null space and row space of.. 4 5 . A = 1 30 %3D -1 3 2 2. 2.

A: We have to find the bases for null space and row space.

Q: (Note: Round all answers to the nearest hundredths if necessary.) 9z - 36z – 16y-64y+116= 0 1) stand...

A: given equation 9x2-36x-16y2-64y+116=0 claim- 1) standard equation 2) center 3) vertices , axis

Q: The intersection of the two planes given by the vector equations -()- r. 1 = 2 1 and r. = 3 2 is O a...

Q: 1. BC is tangent to circle O at A. mDE = 68° mÁF = 91°. Find a. mEÀ b. mDF %3D C. MZBAE

Q: Evaluate: 2+ (5 - j14) 2 - (24 + j10) = 0 (24 j10) 0

Q: The Ran Civilization, based on history books, started in 753 BCE and it ended in 476 AD. How long di...

Q: Prove that if E,ak A and E bk = B then (a) E=1cak cE=1ak = cA (b) (ak + bx) = Eak + E,bk = A+ B 'k=1...

Q: Consider the function f(x, y) = x ^3 + y ^3 + 3xy and the constraint (x − 3)^2 + (y − 3)^2 = 9. De...

Q: re the following: Note: m=7 n=8 What is the result of the expression which is equival (x + 7) and (5...

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an algebra...

Q: (x)

A: As asked, we shall answer Que a only, also one to similarity we shall answer b also.

Q: A small theater had 3 rows of 24 chairs each. An extra 7 chairs have just been brought in. How many....

A: We have to find the total number of chairs in the theatre.

Q: Note: F=3 K=8 (F+2)y+(F-12)x+2z 3. Draw the graph of the linear equation: = 4z + 7. (K+2)

A: Given: F+2y+F-12x+2zK+2=4z+7, where F=3 and K=8. To sketch: Graph of a given linear function.

Q: Method 1: Substitution Example: У 3 Зх — 10 y = 2x - 5 Steps to solving a system by substitution: 1....

Q: For items 31-35, consider the following data set which shows the time recorded, in seconds, it took ...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: 3. Find the cube root of the given complex number: y= (4 – j3) i.e., find V(4 – j3)!. You may leave ...

A: Given: z=4-3j To find: Cube root of a given complex number.

Q: 3. Determine if the following argument is valid or invalid. State if va or fallacy used to support y...

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is determi...

Q: tan-1 z = 1 – j2

Q: Brooke has a dog and a cat. The ratio of the amount of food Brooke feeds her dog to the amount of fo...

A: Brooke has a dog and a cat. The ratio of the amount of food Brooke feeds her dog to the amount of fo...

Q: Determine if (inconsistent or consistent) the system of linear equation. Use row operation and show ...

Q: O-0.05+j0.602 O-0.05-j0.602 O 0.05+j0.602 O0.05-j0.602

Q: 8. Determine the minimum surface area of a rectangular prism box (with lid) that could just hold 24 ...

Q: 6. Calculate the volume of this mailbox to the nearest cubic centimetre. 23 cm 14 cm 8 cm a. 5152 cm...

Q: are 2, 1, -3 аre he third eigen

Q: cot? 0 +1 8. I. tan 0 cot 0 sec2 0 sin? 0(cot? 0 + 1) II. cos 0 sec 0

Q: (-9 -5 12 11' -3 1 5 B = -5 Given matrix A = -4 7 3 -7 -2 2 -9, For the following, use fractions (do...

A: We are given A=[-95-512-35106-40-53-7-22], B=[1157-9] to solve AX=B by doing LU decomposition of A

Q: Estimate the root of the expression, y = 8 – 4.5(x – sin x) using, 8. = 2 and error tolerance of 0.0...

Q: y 1 dy x dx

Q: Let z1 = 2+ j3 and z2 = 4 – j5. Evaluate 1+2 %3D 21-22

Question

3(x-1) + 2 (x-1) ² – (x-1) ³ , x = [1 , 2 ]

S(x) = {

a + b ( x-2 ) + c (x-2)² + d(x-2) ² , x = [ 2 , 3]

Consider the piecewise function above. Find the values of a,b,c, and d that makes f ’ (1) = f ‘ (3)

Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.

Expert Solution