•Consider the graph of z = f(x, y) = 2x2 + y? which is a paraboloid. The equation of the plane tangent to this paraboloid at P(1, –1, zo) has the form: z – z0 = A(r – C) + B(y – D) where A equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (5) Where B equals: (a) -2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (6) Where zo equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (7) Where C equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (8) Where D equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these
•Consider the graph of z = f(x, y) = 2x2 + y? which is a paraboloid. The equation of the plane tangent to this paraboloid at P(1, –1, zo) has the form: z – z0 = A(r – C) + B(y – D) where A equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (5) Where B equals: (a) -2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (6) Where zo equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (7) Where C equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these (8) Where D equals: (a) –2 (b) –1 (c) 1 (d) 4 (e) 6 (f) 3 (g) none of these
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![### Problem Statement
Consider the graph of \( z = f(x, y) = 2x^2 + y^2 \), which is a paraboloid. The equation of the plane tangent to this paraboloid at \( P(1, -1, z_0) \) has the form:
\[
z - z_0 = A(x - C) + B(y - D)
\]
#### Questions:
- **Where \( A \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (5) ______
- **Where \( B \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (6) ______
- **Where \( z_0 \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (7) ______
- **Where \( C \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (8) ______
- **Where \( D \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb13237dd-cf64-4aad-b435-9bc92b8055e0%2Ff2cad466-7406-4476-ad6c-bb467fd3ee46%2F8h674vf_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Consider the graph of \( z = f(x, y) = 2x^2 + y^2 \), which is a paraboloid. The equation of the plane tangent to this paraboloid at \( P(1, -1, z_0) \) has the form:
\[
z - z_0 = A(x - C) + B(y - D)
\]
#### Questions:
- **Where \( A \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (5) ______
- **Where \( B \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (6) ______
- **Where \( z_0 \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (7) ______
- **Where \( C \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
(e) \(6\) \\
(f) \(3\) \\
(g) None of these \\
Answer: (8) ______
- **Where \( D \) equals:**
(a) \(-2\) \\
(b) \(-1\) \\
(c) \(1\) \\
(d) \(4\) \\
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