showing multivariable calculus functions are differentiable
Please help!
Homework Answers
Add Answer to:
showing multivariable calculus functions are differentiable Please help! 2. Recall that by Theorem 3 of Section 14.3, a...
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not d...
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not differentiable at (0,0) 4. You are told that there is a function F : R2 → R with partial derivatives F(x,y) = x2 +4y and Fy(x, y 3x - y. Should you believe it? Explain why. (Hint: use Clairaut's theorem)
Question 2...
GROUP WORK 1, SECTION 14.3 Clarifying Clairaut's Theorem Consider f (x, y, z) = x?cos (y...
GROUP WORK 1, SECTION 14.3 Clarifying Clairaut's Theorem Consider f (x, y, z) = x?cos (y + 2). 1. Why do we know that fyyxxx=0 without doing any computation? 2. Do we also know, without doing any computation, that Sxyz = 0? Why or why not? 3. Suppose that a = 3x + ay". Jy = bxy + 2y. S,(1, 1) = 3, and has continuous mixed second partial derivatives xy and fyx. (a) Find values for a and b...
3 This problem is to prove the following in the precise fashion described in class: Let O C R2 be...
Please write carefully! I just need part a and c done.
Thank you. Will rate.
3 This problem is to prove the following in the precise fashion described in class: Let O C R2 be open and let f: 0+ R have continuous partial derivatives of order three. If (ro, o) O a local maximum value at (To, Va) (that is, there exist r > 0 such that B. (reo) O and (a) Multivariable Taylor Polynomial: Suppose that f has...
Please help out is somewhat difficult. In practice, it is often easier to show a stronger...
Please help out
is somewhat difficult. In practice, it is often easier to show a stronger condition: if each partial derivative OJi = 1, ... , n, is continuous in a disc around p = _ (a1.... , an), then f is differentiable дх, (a1,., an) Put differently: if f is continuously differentiable at p, it is differentiable at However, just as in the one-variable case, there are functions that are differentiable but not at p = p. continuously differentiable....
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
Problem 3. Define the function: 2+_ 0 if (z,y)#10.0) if (a,y)-(0,0) f(x, v)= (a) Graph the...
Problem 3. Define the function: 2+_ 0 if (z,y)#10.0) if (a,y)-(0,0) f(x, v)= (a) Graph the top portion of the function using Geogebra. Does the function appear to be continuus at 0? (b) Find fz(z, y) and fy(z, y) when (z, y) #10.0) (c) Find f(0,0) and s,(0,0) using the limit definitions of partial derivatives and f,(0,0)-lim rah) - f(O,0) d) Use these limit definitions to show that fay(0,0)--1, while x(0,0)-1 (e) Can we conclude from Clairaut's theorem that()-yr(x,y) for...
real analysis 1,2,3,4,8please 5.1.5a Thus iff: I→R is differentiable on n E N. is differentiable on / with g'...
real analysis
1,2,3,4,8please
5.1.5a
Thus iff: I→R is differentiable on n E N. is differentiable on / with g'(e) ()ain tained from Theorem 5.1.5(b) using mathematical induction, TOu the interal 1i then by the cho 174 Chapter s Differentiation ■ EXERCISES 5.1 the definition to find the derivative of each of the following functions. I. Use r+ 1 2. "Prove that for all integers n, O if n is negative). 3. "a. Prove that (cosx)--sinx. -- b. Find the derivative...
3. In this problem we shall investigate the intermediate value theorem for derivatives. (a) Differentiate the...
3. In this problem we shall investigate the intermediate value theorem for derivatives. (a) Differentiate the function f(c)= sin ), 2 0 = 0,1=0 Show that f'(0) exists but that f' is not continuous at 0. Roughly sketch f' to see that nevertheless, f' doesn't seem to "skip any val- ues". Now let f be any function differentiable on (a, b) and let 21,22 € (a, b). Suppose f'(21) < 0 and f'(22) > 0. (b) By the Extreme Value...
pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3...
pls
solve like example
Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...
all a,b,c,d 1. Suppose C is simple closed curve in the plane given by the parametric equation and recall that the outward unit normal vector n to C is given by y(t r'(t) If g is a scalar field on...
all a,b,c,d
1. Suppose C is simple closed curve in the plane given by the parametric equation and recall that the outward unit normal vector n to C is given by y(t r'(t) If g is a scalar field on C with gradient Vg, we define the normal derivative Dng by and we define the Laplacian, V2g, of g by For this problem, assume D and C satisfy the hypotheses of Green's Theorem and the appropriate partial derivatives of f...
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not differentiable at (0,0) 4. You are told that there is a function F : R2 → R with partial derivatives F(x,y) = x2 +4y and Fy(x, y 3x - y. Should you believe it? Explain why. (Hint: use Clairaut's theorem)
Question 2...
GROUP WORK 1, SECTION 14.3 Clarifying Clairaut's Theorem Consider f (x, y, z) = x?cos (y + 2). 1. Why do we know that fyyxxx=0 without doing any computation? 2. Do we also know, without doing any computation, that Sxyz = 0? Why or why not? 3. Suppose that a = 3x + ay". Jy = bxy + 2y. S,(1, 1) = 3, and has continuous mixed second partial derivatives xy and fyx. (a) Find values for a and b...
Please write carefully! I just need part a and c done.
Thank you. Will rate.
3 This problem is to prove the following in the precise fashion described in class: Let O C R2 be open and let f: 0+ R have continuous partial derivatives of order three. If (ro, o) O a local maximum value at (To, Va) (that is, there exist r > 0 such that B. (reo) O and (a) Multivariable Taylor Polynomial: Suppose that f has...
Please help out
is somewhat difficult. In practice, it is often easier to show a stronger condition: if each partial derivative OJi = 1, ... , n, is continuous in a disc around p = _ (a1.... , an), then f is differentiable дх, (a1,., an) Put differently: if f is continuously differentiable at p, it is differentiable at However, just as in the one-variable case, there are functions that are differentiable but not at p = p. continuously differentiable....
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
Problem 3. Define the function: 2+_ 0 if (z,y)#10.0) if (a,y)-(0,0) f(x, v)= (a) Graph the top portion of the function using Geogebra. Does the function appear to be continuus at 0? (b) Find fz(z, y) and fy(z, y) when (z, y) #10.0) (c) Find f(0,0) and s,(0,0) using the limit definitions of partial derivatives and f,(0,0)-lim rah) - f(O,0) d) Use these limit definitions to show that fay(0,0)--1, while x(0,0)-1 (e) Can we conclude from Clairaut's theorem that()-yr(x,y) for...
real analysis
1,2,3,4,8please
5.1.5a
Thus iff: I→R is differentiable on n E N. is differentiable on / with g'(e) ()ain tained from Theorem 5.1.5(b) using mathematical induction, TOu the interal 1i then by the cho 174 Chapter s Differentiation ■ EXERCISES 5.1 the definition to find the derivative of each of the following functions. I. Use r+ 1 2. "Prove that for all integers n, O if n is negative). 3. "a. Prove that (cosx)--sinx. -- b. Find the derivative...
3. In this problem we shall investigate the intermediate value theorem for derivatives. (a) Differentiate the function f(c)= sin ), 2 0 = 0,1=0 Show that f'(0) exists but that f' is not continuous at 0. Roughly sketch f' to see that nevertheless, f' doesn't seem to "skip any val- ues". Now let f be any function differentiable on (a, b) and let 21,22 € (a, b). Suppose f'(21) < 0 and f'(22) > 0. (b) By the Extreme Value...
pls
solve like example
Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...
all a,b,c,d
1. Suppose C is simple closed curve in the plane given by the parametric equation and recall that the outward unit normal vector n to C is given by y(t r'(t) If g is a scalar field on C with gradient Vg, we define the normal derivative Dng by and we define the Laplacian, V2g, of g by For this problem, assume D and C satisfy the hypotheses of Green's Theorem and the appropriate partial derivatives of f...
Most questions answered within 3 hours.
-
Define Diet counceling? What are the
responsibilities of a counselor?
asked 1 hour ago -
Hey im just confused about how to put the ' A angle n' and ' S...
asked 1 hour ago -
A short essay about the WSJ article on Oreo versus Hydrox.
asked 1 hour ago -
##8. A program contains the following function definition:
##def cube(num):
##return num * num * num...
asked 1 hour ago -
find the value z of a standard Normal variable that satisfies
each of the given conditions....
asked 1 hour ago -
"banana".find('z')
Out[22]: -1
why is this -1
python 3.7
asked 1 hour ago -
Ilegal Consideration Marna Balin was involved in two automobile
accidents in which she suffered severe injures.She...
asked 1 hour ago -
Walk through the operation of QuickSort when n = 7 and the input
array is A...
asked 1 hour ago -
Answer with True or False. Argue the answers
7) The circulation of field B on any...
asked 1 hour ago -
Chase Co. uses the perpetual inventory method. The inventory
records for Chase reflected the following
Jan...
asked 1 hour ago -
what are is the correct compression for these two ipv6 ips.. i
keep getting them wrong...
asked 1 hour ago -
How does the amount of silica gel used change separation?
asked 1 hour ago