Homework Answers
We have to cancel h^2 from both numerator and denominator in order to avoid 0/0, now it is in 0/finite form, so the exact value will be 0
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x²y + 5. Find the exact value of lim (5,7,2)=(0,0,0) 3&4 + 4y2 + 2yz? if...
9. Set up the necessary intervals to find the average value of the function /(x,y)=x' +4y2...
9. Set up the necessary intervals to find the average value of the function /(x,y)=x' +4y2 - 4 over the ellipse 4x² + y2 = 4. Use technology to evaluate the integral. Give the exact answer.
Find the limit, if it exists, or show that the limit does not exist. 1. lim...
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz
26. For the function f(x,y) = 4y2 + 3x², find f(3. - 4), (-4,4), f(-1,-2), and...
26. For the function f(x,y) = 4y2 + 3x², find f(3. - 4), (-4,4), f(-1,-2), and f(0,7). f(3,-4)= (Type an exact answer, using radicals as needed.) f(-4,4)= (Type an exact answer, using radicals as needed.) f(-1, - 2) = (Type an exact answer, using radicals as needed.) f(0.7) = (Type an exact answer, using radicals as needed.)
Use l'Hospital's Rule to find the exact value of the limit. 6* - 5* lim X-0...
Use l'Hospital's Rule to find the exact value of the limit. 6* - 5* lim X-0 3x - 2x
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show...
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
Question 11 5 pts Find exact value the limit, if it exists. If the limit does...
Question 11 5 pts Find exact value the limit, if it exists. If the limit does not exist, type "dne" and explain why. lim sin(x-2) x2-4 = x + 2
Q14. [5] Oz (a) Find if 2yz' +5 sin(4x) = zy + 7x?, defines z as...
Q14. [5] Oz (a) Find if 2yz' +5 sin(4x) = zy + 7x?, defines z as a function of two independent Ox variables x and y and the partial derivative exists. of (b) If f(x, y, z) = sec *' (2x +2y2 +32") find and Ox Oz
3. Find lim f(,y) if it exists, and determine if f is continuous at (0,0. (x,y)--(0,0)...
3. Find lim f(,y) if it exists, and determine if f is continuous at (0,0. (x,y)--(0,0) (a) f(1,y) = (b) f(x,y) = { 0 1-y if(x, y) + (0,0) if(x,y) = (0,0) 4. Find y (a) 3.c- 5xy + tan xy = 0. (b) In y + sin(x - y) = 1.
Question 15 Find the exact value of cos(x- y) if: 15 and x is in the...
Question 15 Find the exact value of cos(x- y) if: 15 and x is in the 3rd quadrant and 3 5 cos y = andy is in the 4th quadrant 3 COS X=- None of these answers C1 9 CO C 4/5 C-1 Question 16 Convert the angle to DD form correct to 4 dp: 1.809 rad C 103.6481° 155.4721° C51.8240° 207.29619
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x...
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x + 1 3(x) co . - 2 - -1 -27 QUESTION 4 Use the graph to find the limit, if it exists. 4 lim XO 1 2+ex =[a] 2 - 2 QUESTION 5 Use the graph to find the limit, if it exists. lim tan X = [a] XT/2 Fla T 1
9. Set up the necessary intervals to find the average value of the function /(x,y)=x' +4y2 - 4 over the ellipse 4x² + y2 = 4. Use technology to evaluate the integral. Give the exact answer.
Find the limit, if it exists, or show that the limit does not exist. 1. lim (x²y3 – 4y?) (2,y)+(3,2) 2. lim 24 - 4y2 (x,y)+(0,0) x2 + 2y2 3. Find the first partial derivatives of the function of f(x,y) = x4 + 5.cy 4. Find all the second partial derivatives of f(x,y) = x+y + 2.x2y3 5. Find the indicated partial derivatives. f(1, y) = x^y2 – røy ; farzz, fryz
26. For the function f(x,y) = 4y2 + 3x², find f(3. - 4), (-4,4), f(-1,-2), and f(0,7). f(3,-4)= (Type an exact answer, using radicals as needed.) f(-4,4)= (Type an exact answer, using radicals as needed.) f(-1, - 2) = (Type an exact answer, using radicals as needed.) f(0.7) = (Type an exact answer, using radicals as needed.)
Use l'Hospital's Rule to find the exact value of the limit. 6* - 5* lim X-0 3x - 2x
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
Question 11 5 pts Find exact value the limit, if it exists. If the limit does not exist, type "dne" and explain why. lim sin(x-2) x2-4 = x + 2
Q14. [5] Oz (a) Find if 2yz' +5 sin(4x) = zy + 7x?, defines z as a function of two independent Ox variables x and y and the partial derivative exists. of (b) If f(x, y, z) = sec *' (2x +2y2 +32") find and Ox Oz
3. Find lim f(,y) if it exists, and determine if f is continuous at (0,0. (x,y)--(0,0) (a) f(1,y) = (b) f(x,y) = { 0 1-y if(x, y) + (0,0) if(x,y) = (0,0) 4. Find y (a) 3.c- 5xy + tan xy = 0. (b) In y + sin(x - y) = 1.
Question 15 Find the exact value of cos(x- y) if: 15 and x is in the 3rd quadrant and 3 5 cos y = andy is in the 4th quadrant 3 COS X=- None of these answers C1 9 CO C 4/5 C-1 Question 16 Convert the angle to DD form correct to 4 dp: 1.809 rad C 103.6481° 155.4721° C51.8240° 207.29619
QUESTION 3 Use the graph to find the limit, if it exists. lim f(x) =[a] x + 1 3(x) co . - 2 - -1 -27 QUESTION 4 Use the graph to find the limit, if it exists. 4 lim XO 1 2+ex =[a] 2 - 2 QUESTION 5 Use the graph to find the limit, if it exists. lim tan X = [a] XT/2 Fla T 1
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