Use the graph of the function f shown to estimate the indicated quantities to the nearest integer. a. Find the limit lim f(x). x--3

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Q: 3 SFF X ex

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Q: Under High order linear differential equations Solve: y""+y" = ex cos x

A: Here, the given DE is: y'''+y''=excos x So, the auxiliary equation is: m3+m2=0⇒m2(m+1)=0⇒m=0,0,-1…

Q: EXAMPLES 10. Find the DE of the family of SL with algebraic sum of intercepts fixed as

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Q: 2x + [2x] ate lim x+ 2+ x²+x-2 and lim x+ 2 2x + [2x] x²+x-2

A: Topic:- calculus

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A: Given functions are  a. fx=tansinx2b. y=log35x3-x2+1 We have to differentiate both of them.

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A: NOTE: Refresh your page if you can't see any equations. .

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A: We can find the limit as below.

Q: ข 4 35 -7 16 2 -2 1

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Q: + COE 201 Assignment No. 1 I. Answer the following questions in a ½ crosswise yellow paper. For each…

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Q: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

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Q: Tim √x-2 X-74 X-4

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Q: Using the First Derivative Test, what are the local extrema for the function s(x) = − 3x³ + 10x² −…

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Q: 9-20 Compute the differential dz or dw of the function. -1 13. z = tan xy

A: To compute dz of the following function: z=tan-1xy

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2…

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Q: 1

A: Given At=te-kt

Q: 3. Let k(x, y) = ex cos(x+2y). For any (x, y) € dom k, evaluate 2k(x, y) + 4ky (x, y) — kxy(x, y) +…

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Q: lim √2x² - 4x Evaluate *→

A: The given limit is: limx→2-2x2-4x

Q: 3 5 -2 4

A: We can find the answer in the below steps.

Q: The graph below is the function f(x) -5-4-3-2 Find lim #111 Find lim #111 Find lim x-1 3 2 1 ON B…

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A: Given that a cup of hot chocolate was too hot but could be cooled once it was put in room…

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). 9842722 K= X

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Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

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Q: 5. y = log₂ (sin x) 5. y = sec(In x)

A: Topic = Derivative

Q: O x=1 Ox=2 Ox=3 Ox=4 The function h is defined by h(x)=√√4x+1. Where does the slope equal 3

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Q: Find the partial fraction decomposition of 12x³ - 37x² +48x - 36 (x - 2)² (x²+4)

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Q: Problem 2. Find [3te²¹ dt

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Q: Using riemann sums, determine the area bounded by the function f(x)=(2x^2) +1 in [3,5]. Make the…

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Q: 43. Show that √(x) = {2²2 ²+ 2x, [x² +1, x ≤ 1 x > 1 is continuous and differentiable at x = 1.…

A: According to given data we can find the limit and derviative values in both side  And if  both side…

Q: Find lim (3x³ + √9x6 − 2x³ ) 8118

A: Make the substitution x = -x

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x-2- 2x + [2- X x² + x - 2

A: Given :limx→-2+2x+2-xx2+x-2

Q: 5|x+6|+8>4 Interval notation and number line

A: NOTE: Refresh your page if you can't see any equations. . subtract 8 from both sides

Q: Find_lim (3x³ + √9x6 − 2x³ ) x118

A: If x → ∞ then y → 0 if x=1/y

Q: 7. Use linear approximation to approximate the value of 82 without the need for a calculator.

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Q: Fill in the blank for the following statements (choose FIVE only) 1- The rectangular…

A: all six are solved

Q: 3. f(x) = tan(sin x²)

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 3 O-1 0 1 O 2 T- O Does…

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Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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A: Given: First water level rose faster and faster, then rose more but slowly until it reaches its…

Q: f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x,…

A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

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A: as per company guidelines we solve only first question when multiple question being posted

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for -0. (a) lim (-37x² + 192³) =…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

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Q: 23-24 How would you "remove the discontinuity" of f? In other words, how would you define f(2) in…

A: We can remove discontinuity by removing or cancelling some term from numerator and denominator. As…

Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

A: