#9
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: Miscellaneous limits Use the method of your choice to evaluate the following limits.
A: We have to solve the limit: limx, y→0, π21-cos xy4x2y3 We know the formula, cos2 x-sin2 x=cos…
Q: b) lim sin(x² – 4) х* -16 2х - 3 а) lim %3D V3x² +16 x->2 X->-0
A: Click to see the answer
Q: lim (x,y)→(0,0) x3y is equal to----- x6+ y2 (a)1 (c)does not exist (d)-2
A: In the above problem, at the point (0,0) the function is not continuous. So, it is not possible to…
Q: 1- Cos(ux) lim x-)0
A: Given expression limx→01-cos4xx2 Recall the identity 1-cos2x=2sin2x limx→02sin22xx2
Q: 2y-n у-п lim п cos y y-
A: Click to see the answer
Q: Limits of functions of three variables Evaluate the following limits.
A: limx, y, z→1, 1, 1x-xz-xy+yzx-xz+xy-yz
Q: 1-cos (x-T) lim x→T(x-T)sin (x-π)
A: Given limit, limx→π1-cosx-πx-πsinx-π
Q: 2 In(x) c. limx→1 1-ex-I d. limr¬0 sin(x)-x cos(2x)-1
A: We can answer both the question as below.
Q: sin2z+7z2±2z 4. lim X-2 z2 (z+1)2
A: Click to see the answer
Q: 4. lim z--00 4+ x2 1-VI 5. lim 1-1 r-1 6. lim 1-0 sin 4x
A: Use the basic concept of limit and solve after simplifying the given limit.
Q: lim as x approaches 0 x sin(x)/1-cos(x)
A: Click to see the answer
Q: f(x) = lim (6x + 2 4x + 3) = 6x + 3 Ax-->0 f (x) = lim (6x + 2 4x + 2) = 6x + 2 %3D 4r-->0 f (x) =…
A: Click to see the answer
Q: Find the limit and discuss the continuity of the function.
A: *The given function is, f(x,y)=cos-1xy1+xy *The point at which the limit of the function is to be…
Q: 1. f(x) = sin 2x + cos 3x + x² = 0 with xo = -0.5 , Ax 0.1, TOL = 0.001, in [-0.5,1] %3D
A: Given equation is fx=0 where f(x) is defined by fx=sin2x+cos3x+x2 Given initial solution is x0=-0.5…
Q: Find the limits
A: Given, lim(x,y)→(0,ln2)ex-y And we have to find its limit.
Q: 1-cos2 (x+y) 3. lim (xy)-(0,0) (r+y>)ety
A: Click to see the answer
Q: * (D'+1)y(x) = tan(x) 1-sin(x) 1+sin(x) 1+cos(x) - y,(x) = sin(x)In m(x)s03 = (x) 2- -- y,(x) =…
A: Click to see the answer
Q: 2x + Vx x² + 4x 3 1. lim 2. lim 7x2 + 2 sin x 3. lim x→-o x + e* 4. lim et 2xe2x In x 6. lim 5. lim…
A: To decide whether the given limit produces an indeterminate form6. limx→∞lnxx
Q: #51
A: Given,
Q: #43
A: Click to see the answer
Q: find 7. (x, y)→(0,ln 2) In |1 + x² y²| lim et-y 8. lim (x, y)→(1,1) 9. e' sin x 10. (х, у) —-(1/27,…
A: Click to see the answer
Q: Limits of functions Evaluate the following limits.
A: Click to see the answer
Q: lim In(x2 + y?) (x,y)-(0,0)
A: Click to see the answer
Q: Vx +1 lim 5. x→l x+1 y° – 4y 3 lim 6. y→2 2y - y 3 Vx³ -8 lim 7. x→2 x²-4
A: Note: we answer up-to 3 multiple subparts. Please resubmit question which you would like to get…
Q: lim (x,y)(1,2) 2x +x*y-xy 4x2-y?
A: Given, limx,y→1,22x3+x2y-xy24x2-y2
Q: (x+h)³-x³ lim h→0 h. sin(3w) lim w-0 2w sin(h)(1-cos(h)) lim
A: We know (a+b)3 = a3 + 3a2b + 3ab2 + b3 limx→0sin xx = 1 limx→01 - cos xx = 0
Q: Calculating LimitsFind the limits in Exercises 11–22.
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: Find the limits
A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.
Q: Miscellaneous limits Use the method of your choice to evaluate the following limits.
A: We have to evaluate the limit of limx,y→4,0x2ylnxy.
Q: (2) limuy)-(0,0) In(1+x²y®) =,
A: When we put x=0 , y=0 in the function we donot get indeterminant form so we can put the values…
Q: 4 Test for homogeneity fx,y)- tanx- see'x - Osy
A: Click to see the answer
Q: 4x[ cos (2x) – 1] sin (5x) – 5x Use L'Hopital's Rule to evaluate lim 4x[ cos (2x) – 1] lim sin (5x)…
A: Click to see the answer
Q: 13) lim (n z 2-70 24) lim e- é- ース x - sinx 34) lim (Csx - Cotx)
A: Wherever applicable we used L'Hopital rule
Q: 17. [x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0. ANS. 2y arc tan (y/x) = x In [c²(x² +…
A: Click to see the answer
Q: 17. [x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0. ANS. 2y arc tan (y/x) = x In [c²(x² +…
A: Click to see the answer
Q: 2. Express lim 9. as a definite integral, - f (x)dx. i=1 2.
A: We have to solve
Q: 1. lim cot-1 (e*). 2. lim sech (ln x) x-0 X+ 00 f(x) = sech z (0, 1)
A: The solution of the problem is given in the next steps.
Q: 4 points lim h→0 2h cos(x² + 1)dx O 1 O cos(1) O sin(1)
A: Click to see the answer
Q: —Х 2 - X – 2 X limx → 0| е +e¯*_x² - 2 2 sin - x – X х— х
A: To evaluate the limit using L-hospital rule: limx→0ex+e-x-x2-2sin2x-x2 Solution: We know that if…
Q: lim(x,y)->(0,0) = (1+x2+y2-cos(x2+y2))/(x2+y2)
A: Click to see the answer
Q: Limits of functions of three variables Evaluate the following limits.
A: We have to find limits of the functions: limx, y, z→1, -1, 1xz+5x+yz+5yx+y As it is 00 indeterminate…
Q: tan Зy limy 0 3y O 3 O undefined
A: Since you have posted multiple questions in this question which are not interlinked so I have solved…
Q: x -2x-8 . lim , X2 x -4 X2 Vx² +1-Va* +1 . lim 2 2 Xa X- a V3x -3 . lim X3 X-3 1, 1 1. lim -(- X x+2…
A: It is simple application of limit
Q: sin x dy (1 + y) cos x + sin x If y=- , prove dx %3D cOS x 1+2y + cos x-sin x 1+ sin x 1+ 1+ cosx 8.…
A: Click to see the answer
Q: Q5/ * lim (x-3)(sin-'(x) – x) using L Hopital Rule
A: Click to see the answer
Q: psen(x) tan(t) dt lim ctan(x) Vsen(t) dt x→0
A: Click to see the answer
Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.
A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…
Q: lim x-4y (x,y)- (0,0) 6y+7x .A does not exist.
A: To calculate the given limit: limx,y→0,0x−4y6y+7x
Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…
A: Click to see the answer
Q: lim (2,1) (0,0) (1 + (x² + y²) In(2² + y²))
A: Click to see the answer
