Question

Let $f(x) = ax^2 + b$. Find $a, b$ so that linearization of $f(x)$ at $x = -2$ is $y = -4x - 7$

score 53 · Answer 1 · 2026-04-16 14:49:29

53

Views

Let $f(x) = ax^2 + b$. Find $a, b$ so that linearization of $f(x)$ at $x = -2$ is $y = -4x - 7$

Published on 16 Apr 2026 - 14:49

score 80 · Answer 2 · 2026-04-16 09:16:36

80

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What is the linearity-like property $f(x, a + b) = f(f(x, a), b)$ called?

Published on 16 Apr 2026 - 9:16

score 555 · Answer 3 · 2026-04-10 21:54:41

555

Views

Linear approximation $\mathbb R^3 \to \mathbb R^2$

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score 295 · Answer 4 · 2026-04-11 22:44:50

295

Views

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score 48 · Answer 5 · 2026-04-12 18:20:37

48

Views

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score 51 · Answer 6 · 2026-04-11 00:43:06

51

Views

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score 101 · Answer 7 · 2026-04-16 11:10:33

101

Views

Proving $e = (\Delta m) c^2$ by linear approximation

Published on 16 Apr 2026 - 11:10

score 181 · Answer 8 · 2026-04-15 05:44:31

181

Views

Linear and Quadratic approximations in Calculus 2

Published on 15 Apr 2026 - 5:44

score 156 · Answer 9 · 2026-04-13 01:44:46

156

Views

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Published on 13 Apr 2026 - 1:44

score 147 · Answer 10 · 2026-04-10 14:36:47

147

Views

How can I use the differencial to approximate a function with a tangent plane?

Published on 10 Apr 2026 - 14:36

score 21.4k · Answer 11 · 2026-04-17 00:39:07

21.4k

Views

Second order central difference = first order central difference applied twice?

Published on 17 Apr 2026 - 0:39

score 1.1k · Answer 12 · 2026-04-16 09:26:18

1.1k

Views

Determine the linear approximation of $g$ about $2\pi$ given that $g$ is the inverse of $f$

Published on 16 Apr 2026 - 9:26

score 219 · Answer 13 · 2026-04-15 19:30:37

219

Views

Show that the line through $P$ and $Q$ is perpendicular to the surface at $P$.

Published on 15 Apr 2026 - 19:30

score 334 · Answer 14 · 2026-04-17 01:31:28

334

Views

Find linear approximation at $(-1,1)$ to the implicit function $2xy-x^8+y^2=-2$

Published on 17 Apr 2026 - 1:31

score 372 · Answer 15 · 2026-04-13 20:18:30

372

Views

Isn't a linear approximation a "perfect approximation" at the point at which the tangent line is equal to the curve?

Published on 13 Apr 2026 - 20:18

List Question

Let $f(x) = ax^2 + b$. Find $a, b$ so that linearization of $f(x)$ at $x = -2$ is $y = -4x - 7$

What is the linearity-like property $f(x, a + b) = f(f(x, a), b)$ called?

Linear approximation $\mathbb R^3 \to \mathbb R^2$

Least squares approximation question

Minimum number of piece-wise linear components to approximate a polynomial

The best linear approximation

Proving $e = (\Delta m) c^2$ by linear approximation

Linear and Quadratic approximations in Calculus 2

Multivariable linear approximation: how can I estimate the error?

How can I use the differencial to approximate a function with a tangent plane?

Second order central difference = first order central difference applied twice?

Determine the linear approximation of $g$ about $2\pi$ given that $g$ is the inverse of $f$

Show that the line through $P$ and $Q$ is perpendicular to the surface at $P$.

Find linear approximation at $(-1,1)$ to the implicit function $2xy-x^8+y^2=-2$

Isn't a linear approximation a "perfect approximation" at the point at which the tangent line is equal to the curve?

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