You have answered 3 out of 4 parts correctly. Find the limits, if they exist, or type DNE for any which do not exist. 4r2 lim (1,1) +(0,0) 3r2 + 5y? 1) Along the r-axis: 2) Along the y-axis: 0 4 3) Along the line y = mx : 3+5m? 4) The limit is: DNE

Q: 1. Determine if the following limits exist: 1² + y? (a) lim (1,y)→(0,0) e² +y² – 1 12 sin(y) (b) lim…

A: In the question we have to find limit.

Q: In Exercises 7 through 12, find dy/dx using the limit definition. 7. y = -2x' +x - 3 8. y = 3x - 4x…

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Q: ez+y? 1 - 1 < MVx2 + y? x2 + y? for all (x, y) (0,0) in some neighborhoud of (0, 0). (c) Using part…

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Q: C. Find the following limits: 1) limy-o 2ytan(n/y) sin(n-02) 2) limo2→n Tøl-V

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Q: Use l'Hôpital's rule to find the limits 20 - T 30 + T 17. lim /2 cos (2T - 8) 18. lim 0--1/3 sin (0…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the limit (if it exists).

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Q: Find the limits, if they exist, or type DNE for any which do not exist. lim (4,9)(0,0) 4x2 + 2y2 1)…

A: our objective is to find the limit.

Q: Find the limit. Enter DNE if the limit does not exist. lim = DNE (7,v) → (0,0) z² + 11y²

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Q: Find the limits. Enter "DNE" if the limit does not exist. x? – y lim (1,y)→(2,2)

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Q: Show that lim (z,y)→(0,0) 4 z - Va² + y? V16 – x² – y? – 2²

A: Show thatlimx,y→0,0z-x2+y24-16-x2-y2-z2=0

Q: This question has 3 parts. Answer each part correctly to get the next part. z? + 7y? + 522 Consider…

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Q: If y = arctan x, then what restriction is placed on the value of y?

A: Consider the given function:  y=arctanxDomain of  arctanx:  −∞ &lt;x&lt;∞Range of arctanx:…

Q: Find the followings limits:- х — у 1. lim (x,y)→(3,3) \Vx – 'y.

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: The area of a cylinder sector with radius r and central angle of radian measure 0 is A = r20, and…

A: If the area of the sector is 1 sq. unit, then A=112r2θ=1θ=2r2          ...(1)

Q: A- Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4). B- Prove…

A: The equation of a circle having center C(1,0) and radius r=4 is given by: x-12+(y-0)2=42…

Q: So sin(t²) =? lim, »0* O a. Limit does not exist O b. 1/3 O c. 00 O d. 0 O e. 2/3

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Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

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Q: Q2: Find the following limits 3. lim sin3y cot5y y-0 ycot4y

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Q: Find the limits, if they exist, or type DNE for any which do not exist. 4x2 lim (x,y)→(0,0) 3x² +…

A: Find the limits

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1 (e⁹ti + sin(6t)j + e-7tk…

A: To find, limt→0e9ti+sin(6t)6tj+e-7tk

Q: A- Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4). B- Prove…

A: The equation of a circle having center C(1,0) and radius r=4 is given by: x-12+(y-0)2=42…

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: 2. Evaluate the following limits if they exist: sin(x2 + y?) (a) lim (x,y) (0,0) 2x² + 2y2 xy (b)…

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Q: Question 3 2x2 – 1 lima→0 x2 +1

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Q: Being f(x,y) = xy + y^2, find the following limits:

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime4ti + sin(2t)j + e-2tk…

A: To find the limit of given vector function.

Q: O The lengths Of two adsacent 3ides OF a Yec tang ular quilt are 15 Cm and fs cM. Find the Derimeter…

A: Using rectangle and square formula we have

Q: 2t k, then the distance traveled over 0Sts In 3 is:

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Q: Let f(x) = x3/2. Determine the length of the arc swept over r E (a, b).

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Q: a. The perpendicular bisector of JK is the perpendicular to f that passes through P. b. Draw an arc…

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Q: 1- cos(Vr² + y?) lim (x,y)→(0,0) • (a) Va2 + y?

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Q: Find the limits. Enter "DNE" if the limit does not exist. lim (1,y)→(7,6) Vy DNE 1 lim (z,y)→(9,4)…

A: we have to find the following limits

Q: Find the length of the arc formed by x^2=12y^3 from point A to point B where A=(0,0) and B=(144,12)

A: This question is based on application of Integration.

Q: Find the limits, if they exist, or type DNE for any which do not exist. 2x2 lim (7,y) (0,0) x2 + 2y?…

A: For different different paths , we can find limit.

Q: Determine if the following limits exist: x2 + y? (a) lim (x.y)→(0,0) e# + y² – cos(y) IVly[ sin(y)…

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Q: Find the center and radius of circle x“ + y° - 2x-4y+1=0. Prove thot (0

A: I am solving question 1. if you want other question to be solved then repost.

Q: Find the limits lim [(cos(5nt) + 4) i – ťj+ (4ť² – 5) k] = t+-2 lim [eti – 5tj + 5e*k] | t+1 lim…

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Q: ) Let C be the arc from the point (3,0) to the point (0,3) on the circle x² + y² = 9. The value of…

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Q: Find the limits. Enter "DNE" if the limit does not exist. Va - Vy+7 lim (1,y)→(11,4) Ity+7 х — у — 7

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Q: Let f(2) = C, be the upper half eircle J2| = R in the counterclockwise direction with R>1, and /= ,…

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Q: 8. Let C be an arc of the circle [z| = R(R > 1) of angle t/3. Show that dz TT | + 3 \R3 - dz And…

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Q: 2лу + ar? + ay? lim ax² + ay² z,4)¬(0,0)

A: lim(x,y)→(a,b) f(x,y)=f(a,b)

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

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Q: Calculate the following limits. VI – Vy+I V2r – y – 2 (a) lim (r + y + 1) (b) lim (2x – y # 4)…

A: We have to find the limits.

Q: 1 – cos(x² + y?) x2 + y? - lim (x,y)→(0,0)

A: Given lim(x,y)-&gt;(0,0)1-cosx2+y2x2+y2 find out the limit if it exists

Q: cos t – cos² t Evaluate lim t→0 t

A: →When limit is of the form 00 or ∞∞, then L'Hospital rule is used.      In this rule take the…

Q: Find the limits. Enter "DNE" if the limit does not exist. 5xy + 2yz lim (z,y,2)→(1,1,4) x² + z² lim…

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Q: 2 2 If C is the part of the circle E) + ) = 1 in the first quadrant, find the following line…

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