Need help on 709 FOR THE FOLLOWING, FIND: A) THE DOMAIN OF EACH FUNCTION, B) THE r-COORDINATEOF THE LOCAL EXTREMA, AND C) THE INTERVALS WHERE THE FUNCTION IS INCREASINGeaAND/OR DECREASING.De701. f(z) = ++ or - 1705. h(r) = (2 - 1)°(z + 3)*Resin702. g(r) = r- 5z- 8TCus706. m(r) = 31V5-TCod703. h(r) r+Gra707. f(r) = r/3(r - 5) 1/3desAbi704. p(1) = VT+div708. h(r) = r/3 – 4/3acrfunorg709. Find the values of a and b so that the function f(r)- r' + ar br will have a relativeextreme at (3, 1).710. Find the values of a, b, c, and d so that the function /(z) ar + br? + cr + d will haverelative extrema at (-1, 1) and (-2,4).Hofor

Answered: Image /qna-images/answer/053b1c42-d65f-4277-a9c1-780f082e5849.jpg

Answered: 709. Find the values of a and b so that…

Math

Calculus

709. Find the values of a and b so that the function f(r)- rt ar' + br will have a relative extreme at (3, 1).

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section: Chapter Questions

Problem 31RE: For the following exercises, use the graphs to determine the intervals on which the functions are...

See similar textbooks

Related questions

Q: 2) Compute the approximate derivatives of In x I+ x2 fCx) at x-2, using three- endpoint formula…

Q: = x2 - 4x + 1 with domain [0, 3] f has ---Select--- v at (x, y) = f has ---Select--- v at (x, y) = f…

Q: Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. Then, use the…

A: Consider the given function. fx,y=2xy+y2+2x-1 Find the derivative with respect to x. fx=2y+2 Put the…

Q: 1 The derivative of the function y = cos V at z e = is equal to 4.

Q: Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. Then, use the…

A: To find critical point in which given function has relative maximum and minimum.Where…

Q: The derivative of f(r, y) at P(1,2) in th in the direction of-2j is -3. Then the of -i - 2j is

A: It is given that the directional derivative of f(x,y) at P0(1,2) in the direction of (i+j) is = 22…

Q: Find the length of the curve e^x / 2 + e^-x /2 between x=0 and x=1

Q: Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. Then, use the…

A: We have, To find the critical point, we have to take the partial derivative of the function, and…

Q: Suppose we have a revenue function given by R(z) = 6z- az?, %3D = 10? where a is a constant. What…

A: Given Rx=6x3-αx2 To find the value of α when average value is $20 for x=10

Q: (1) Use the linear approximation of Va at x = 9 to estimate the value of v8.7

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: at x = The function has a relative minimum of at x = The function is increasing on the interval(s):

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Compute the second derivative of f(x)=ex+x at x = 2 using a step size h = 0.2 The backward…

A: According to the question; f(x)=ex+x ; x=2step…

Q: Calculate differential: f (x) = = e-* cos(3x) + 2 of the range [1,2] with h=0.05 a) Using the…

A: Equation is f(x)=e-xcos(3x)+2.Numerical differentiation method to find the solution.The value of the…

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

Q: 13. Find the derivative at x = a for f(x)= /sin(4x) 2 Vsin(4a) cos (4a) Jsin(4a) 2 sin(4a) Vsin(4a)…

Q: The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show…

A: The given function is f(x, y)=y2-ysinx-x4.

Q: Find the most general antiderivative of f(x) = -3e" + 10 sec2 (x), where - < x < 2 Note: Any…

A: According to the given information it is required to calculate the antiderivative of the function:

Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

Q: The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show…

A: We have to find which variable should we choose so that we differentiate as quickely as possible.

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

Q: What is the 4th derivative at x = 0 of the function f(z) = (2r + 1)* %3D

Q: Q4/ Find the value of the following partial derivative (choose O 1- If w(x, y) = Ln(ey+/5xy)),find…

Q: . Compute the central difference approximations of O (h^4) for the first derivative of y = cos(x) +…

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) ,2) y = In xn cosh 5x ,3) xsin-14y = y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is local linear approximation for f(x)= e*" -6* near x = 0? Note: Must show answer is equal to…

A: Hey, since there are multiple subpart posted, we will answer the first question. If you want any…

Q: 2. What is the average rate of change of the function f (x) = x² – 3x over the interval [1,1.01]?

A: use average rate of change formula .

Q: 1. Find the centered difference approximations of 0(h^4 ) for the first derivative of y=sin(x) +…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h =…

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557 -0.193 3.5 -0.3507 0.0139…

Q: b) Find derivative of the following: 1. y= 5x° + 2x -x + x* -9x+12 y=1-cos 20+3sine iI. ii. s= xln…

A: The detailed solution is as follows below:

Q: What is the approximate value of the first derivative of S(x)=-0.1x*-0. 15x-0.5x-0.25x-1. 2 at…

Q: A particle moves along the x-axis so that it’s position at any time t≥0 is given by…

Q: 4. For the given derivative, find the antiderivative that satisfies the indicated condition. f '(x)…

A: We have to find the anti derivative of the function or we can say that we have to integrate the…

Q: 1. Compute forward and backward difference approximations of O(h) and O(h²), and central difference…

A: Given : y=sinx , h=π12 , x=π4 True value = 0.7071 To Find : forward and backward difference…

Q: Calculate differential: f(x) = e-* cos(3x) + 2 of the range [1,2] with h=0.05 Using the backward…

A: Equation is f(x)=e-xcos(3x)+2.Numerical differentiation method to find the solution.The value of…

Q: 3. Find the critical points of the function f(x, y) = 4x2 + 9y2 + 8x-36y + 24 and use the second…

Q: For the following graph of velocity (not distance) versus time over the interval (1.5, 5), 15 the…

Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a…

Q: 2. About what point is the local linear approximation l(x) 1 of the function f(x) = tan- x 4 valid?

A: Let's Solve,

Q: 1. Find the linear approximation Using this linear approximation, 9.1. of f(x) x^(1/2) at x = 9.…

A: The linear approximation: L(x) for a function f(x) at x=a is defined using the formula:…

Q: 4x 28. If R = and errors in x, y, z be 0-001. Show that the maximum relative error at x = y = z = 1…

Q: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

Q: If the first derivative of y is -3.8025 sin(0.507 t) on the interval {0 <= t <= 24}, what are the…

Q: V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

Q: Compute forward difference approximations for the first derivative of the function, y = e*cos(x²),…

Q: 15 - What is the approximate derivative of f(x) = 5x³ + 4x² if we use f(ze+h)–f(za) forward…

Q: The functions f(x, y) = x 2 + y 2 and g(x, y) = x 2 - y 2 both have acritical point at (0, 0). How…

A: We have f(x, y)=x2 + y2 and g(x, y)=x2 - y2 By finding the partial derivatives fx=2x, fy=2y, gx=2x,…

Q: 1. Explain how would you determine the maximum value of y= 1 3-cos x

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

Question

Need help on 709

FOR THE FOLLOWING, FIND: A) THE DOMAIN OF EACH FUNCTION, B) THE r-COORDINATE
OF THE LOCAL EXTREMA, AND C) THE INTERVALS WHERE THE FUNCTION IS INCREASING
ea
AND/OR DECREASING.
De
701. f(z) = ++ or - 1
705. h(r) = (2 - 1)°(z + 3)*
Res
in
702. g(r) = r- 5z- 8T
Cus
706. m(r) = 31V5-T
Cod
703. h(r) r+
Gra
707. f(r) = r/3(r - 5) 1/3
des
Abi
704. p(1) = VT+
div
708. h(r) = r/3 – 4/3
acr
fun
org
709. Find the values of a and b so that the function f(r)- r' + ar br will have a relative
extreme at (3, 1).
710. Find the values of a, b, c, and d so that the function /(z) ar + br? + cr + d will have
relative extrema at (-1, 1) and (-2,4).
Ho
for

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.