Answered: Find the gradient of the function whose…

Math

Algebra

Find the gradient of the function whose center is at the origin and radius of 7units r^2=(x-9)^2+(y-b)^2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 23E

See similar textbooks

Related questions

Q: Find the direction derivative of f(x, y, z) = x²y -zx -yx point (1,-1,1) in the direction 3i+4k x at…

Q: Find the slope of the line tagent to the curve of y = In x/x at point (1,0)

Q: A function has a tangential gradient of 2sin3x. If the curve cuts the x-axis at, determine the…

A: A function has a tangential gradient of 2 sin 3x.If the curve cuts the x-axis at π3.To determine…

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

Q: Use a linear approximation to estimate V65.

A: 653

Q: Use the limit definition of the partial derivative to verify the formulas

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Explain the concept of differentiation and integration.

A: Differentiation and integration are the process of calculus in mathematics. In differentiation, we…

Q: Find equations for two lines through the origin that are tang net to the curve x²-4x+y²+3=0 .

A: We have given equation of curve x2-4x+y2+3=0. We also know that the slope of the line will be the…

Q: Find the slope and y-intercept of the line through the point (1,5) that cuts off the least area from…

A: In the question we have to find slope of line and y-intercept.

Q: Find total differential of function u = x.

A: 6. The given function is u=xyz. We know that the total differential of a function u=fx,y,z is given…

Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4, –-1). (Use…

A: The Equation of the tangent plane: - z0=(x0,y0) is a point in the domain of f, and defined by a…

Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b) Where, slope = m and point = (a,b)

Q: How can linear approximation be used to approximate the changein y = f(x) given a change in x?

A: Given; y=fx How can linear approximation be used to approximate the changein y=f(x)…

Q: Explain how to determine Partial derivatives for y-value ?

A: For a multi variable functions like f(x,y) To find its partial derivative for y value, treat x as a…

Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

Q: Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4…

Q: Find the derivative of the function at the given point in the direction of A. f(x, y) %3DIn(6x -…

A: let an be the unit vector along which we need directional derivative. directional derivative (D.D) =…

Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: independent

A: We will solve the problem.

Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…

A: Given : Point (6,6)

Q: By using quotient rule, differentiate f(x) = (2x* – 7x² + 3x)(x² + 1)-1. Hence, find the gradient of…

Q: Give 1 problem of partial differentiation of function of U with respect to 3 independent variables…

Q: Determine the directional derivative of X²Yz +4XZ² at the point P(1,-2,1) in direction a=2û - j +² R…

Q: Determine the gradient of the straight line which is tangent to the graph of f(x)= tan^-1(ln x) at…

Q: Show that the negative gradient points in the direction of greatest decrease

Q: Explain Partial Derivatives

A: Consider an example: "f" is a function with two variables. f(x,y)=xy+sin(xy) you can calculate 2…

Q: Find the slope of the tangent line to the graph of x4 + 5xy - 12x + 11 = dt at the point (1 , 0) on…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y²5z² = 29, (-3, -5,…

A: Solution of given question is written in below steps.

Q: Explain how to determine Partial derivatives for x-value ?

A: Partial derivatives :- Let z=fx,y be function of two independent variables x and y. If we keep y as…

Q: Find the orthogonal trajectories of the family of circles through the origin with centers on x axis.

Q: Find the gradient of the curve y = x° – x2 – 8x – 2 at the point on - - - the curve whose…

A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

Q: Find the gradient of the curve . Y=4x^2 at x=3

Q: How to calculate a gradient

Q: How does the partial derivative relate to the limit of a function of two variables?

A: Solution

Q: Give one problem for partial differentiation of function of U with respect to 3 independent…

A: It is partial derivative problem

Q: Explain Partial Derivatives of a Function of Two Variables?

A: Partial derivatives of Two variables : If z = f(x, y) , then first partial derivative of f with…

Q: 15 /(х. у) 2гу-Зх, Р % (2, 1), - (3,2)

Q: Find the equation of the tangent plane to the graph of f(x, y) = In (13x² 10y²) %3D at the point (1,…

A: Solution is written in below steps.

Q: Find the derivative. (Hint: do chain rule. ) * 12° dt 6x 8x6 12x/2

Q: Solve using partial differentiation

A: Given that uxy=4eycos2x given that y = 0, ∂u∂y=cosx and u=y2…

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. x²+ y²-4x…

Q: can someone explain how he gets the partial derivative done here. i dont understand the process

Q: y 1-

A: The solution is given below in the next step:

Q: Find the partial derivative. Find fx(3, -7) when f(x,y) = 7x2-9xy. O -21 O -126 O 21 O 105

A: differrntiate partially with respect to x

Q: Find the average rate of change of between the points on the function whose coordinates are (1, 3),…

A: Given points are (1, 3) and (2, 16).

Q: Find an equation of the tangent plane to the surface at the given point. z = 8 - -x (3, -2, 2)

Q: Find the gradient of the tangent line to the curve x² + y =10 at x=1, where y > 0. %3D

Question

Find the gradient of the function whose center is at the origin and radius of 7units r^2=(x-9)^2+(y-b)^2

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Partial Derivatives$

Learn more about

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

Similar questions

an object moves along the y-axis (marked in feet) so that its position at time t (in seconds) is given by f(t)=9t^3-9t^2+t+7. find the velocity at three seconds.
Determine the equation of the vertical trace of the function g(x,y)=-x^2-y^2+2x+4y-1 corresponding to y=3, and describe its graph.
Determine the slope of 3(x2+y2)2=100xy at the point (3,1)
An object moves on a horizontal coordinate line. Its directed distance s from the origin at theend of t seconds is t^3 − 6t^2 + 9t feet. A. When is its speed increasing?
The position of an object moving along a straight line is given by s(t)=t^4-12t^3+48t^2-32t. Find the velocity and accelerations of the object and find all the times t when the acceleration is zero.
Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2
Find the linearization L(x) of the function f(x) = x^4 -2x^2+3 at x =0.
Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above sea level, the air pressure, P, in inches of mercury, is given by P(h)= 30e(-3.23*10^-5h) (a) Find the local linearization of P(h) near h= 0. (b) A common 'rule of thumb' used by travelers is that air pressure drops about 1 inch for every 1000-foot increase in height above the sea level. Explain why this 'rule of thumb' gives a reasonable method of estimation. (c) Does the local linearization found in part (a) give overestimates or underestimates of the exact air pressure? Explain why. (d) Does the 'rule of thumb' from part (b) give overestimates or underestimates of the exact air pressure? Explain why
Determine the Derivatives of Transform
Find the points on the curve y=x(x-1)(x-2) which have the same gradient use @ for 2
Graph the function along with secant lines AP, BP, CP where A = (0, 9) B= (1,7) C = (1.5,4.5) P = (2,1) Function: 9-2x^2
Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).