Let g(t) be a differentiable function such that g(1)=2, g(3)=4; g'(1)=1, g'(3)=1. Let f+ df denote the differential (linear) approximation of f(1.1,2.8), where f(x.y)=x?g(x²y). Let h(x,y)=3y²+6xy+2x?. Choose the TWO correct statements below. f+df=3.7 f+df =4.9 (1,1) and (1, – 1) are local extrema of h(x,y). f+df=4.5 h(x.y) has a local minimum at (1, – 1). f+df=5.2 (1,0) and (1, – 1) are local extrema of h(x,y). h(x,y) has no local minima.
Let g(t) be a differentiable function such that g(1)=2, g(3)=4; g'(1)=1, g'(3)=1. Let f+ df denote the differential (linear) approximation of f(1.1,2.8), where f(x.y)=x?g(x²y). Let h(x,y)=3y²+6xy+2x?. Choose the TWO correct statements below. f+df=3.7 f+df =4.9 (1,1) and (1, – 1) are local extrema of h(x,y). f+df=4.5 h(x.y) has a local minimum at (1, – 1). f+df=5.2 (1,0) and (1, – 1) are local extrema of h(x,y). h(x,y) has no local minima.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let g(t) be a differentiable function such that
g(1)=2, g(3)=4; g'(1)=1, g'(3)=1.
Let f+ df denote the differential (linear) approximation of f(1.1,2.8), where f(x ,y)=x?g(x3y).
Let h(x,y)=3y²+6xy+2x?.
Choose the TWO correct statements below.
f+df =3.7
f+df = 4.9
(1,1) and (1, – 1) are local extrema of h(x,y).
f+df =4.5
h(x,y) has a local minimum at (1,-1).
f+df =5.2
(1,0) and (1, – 1) are local extrema of h(x,y).
h(x,y) has no local minima.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a0e7e09-74ce-45ba-b7fc-e35f08089610%2Fb2c61937-e032-4154-a02f-0cf44b4b70fc%2Fwoq5ywj_processed.png&w=3840&q=75)
Transcribed Image Text:Let g(t) be a differentiable function such that
g(1)=2, g(3)=4; g'(1)=1, g'(3)=1.
Let f+ df denote the differential (linear) approximation of f(1.1,2.8), where f(x ,y)=x?g(x3y).
Let h(x,y)=3y²+6xy+2x?.
Choose the TWO correct statements below.
f+df =3.7
f+df = 4.9
(1,1) and (1, – 1) are local extrema of h(x,y).
f+df =4.5
h(x,y) has a local minimum at (1,-1).
f+df =5.2
(1,0) and (1, – 1) are local extrema of h(x,y).
h(x,y) has no local minima.
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