girl-logo

Ask Questions

Home > Study Bank > Trigonometry
Question

Turnbull Cox

05/15/2021 · Elementary School

Inverse transform The equations \(x = g ( u , v ) , y = h ( u , v )\) in Figure \(15.57\) transform the region \(G\) in the \(u v\) -plane into the region \(R\) in the \(x y\) -plane. Since the substitution transformation is one- to-one with continuous first partial derivatives, it has an inverse transformation and there are equations \(u = \alpha ( x , y ) , v = \beta ( x , y )\) with continuous first partial derivatives transforming \(R\) back into \(G\) . Moreover, the Jacobian determinants of the transformations are related reciprocally by \(\frac { \partial ( x , y ) } { \partial ( u , v ) } = ( \frac { \partial ( u , v ) } { \partial ( x , y ) } ) ^ { - 1 }\)

Answer
expertExpert-Verified Answer

Cox Hamilton
Supertutor
5.0 (39votes)

\(\frac { 3 } { 2 } \ln 2\)

Related Questions

Q:

Find the measure of angle B if the measure of side b=7.4 , side c=101.98 , and angle C=8.1°.
A: See Answer #Trigonometry
Q:

Assume there are 36 passenger capsules, evenly spaced around the circumference. Find the height from the ground of each of the numbered passenger capsules shown in the figure. (Use the figure to help you think about the problem.)

a. 1= _ b. 2= _ c. 3= _ d. 4= _ e. 5= _ f. 6= _ g. 7= _ h. 8= _
A: See Answer #Trigonometry
Q:

Calculate the vertical distance in meters (accurate to three decimal places) between two stations if the slope distance between them is 125.444m and the horizontal distance is 122.967m.

Do not include units in your answer.
A: See Answer #Trigonometry
Q:

Find the indicated side of the triangle.\[b= [ ?] \sqrt { \square ] } \]
A: See Answer #Trigonometry
Q:

Find the value of each trigonometric ratio.\(\cos A\)
A: See Answer #Trigonometry

Still have questions?
Ask UpStudy online

  • 24/7 expert live tutors

  • Unlimited numbers of questions

  • Step-by-step explanations

📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions