Limit メ+5 メ→-5 |Jx-っ-4

Q: Identify the removable discontinuity. x2 – 16 f(x) : X – 4 (x, y) =

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Q: nsider the line y 3-*+3. at ic th

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Q: 3tan z sec? x dr 2.

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Q: 13. y = x'/9, 0 sxs 2; x-axis

A: The formula for area of revolution of a curve on interval [a,b] about x-axis is given as…

Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: Use chain Rule to find for 2. y = . +x²+x+1 I.W | 3. y = estn 3x Н.W

A: We have to find dydx using chain rule for the given function: 2.  y=1x3+x2+x+13.  y=esin 3x We know…

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

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Q: 7y lim 2 y>+∞ +3y+Vy-4y

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Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

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Q: Metodo de coeficientes indeterminados 3y´´-2y´-y=x^2+3x-6     y(0)=0    y´(0)=0

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Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: 5-4y2 dy 3+2y

A: To evaluate ∫5-4y23+2ydy

Q: + 3 satisfies (1– x² )y"-2 xy'+20 y = 0.

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Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: /2x – y – 2 (b) lim (2r – y + 4) (1,y)-(2,2) 2x – y – 4

A: We can directly put the value of (x,y) if denominator is not becoming 0. Or else, we can choose a…

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: on of y" – 2y' + 2y =

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Q: Let f(2) = y variable defin exist?

A: The given function fz=-y-2xy+i-x+x2-y2+z2 Here, z=x+iy. Therefore,…

Q: Find dy. y=5th root of x^2(8-2x)

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Q: 2ryy' –1-y - 0, y(1) = 2, one can fir

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Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

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Q: 2. T1: R2 - R2, T1(x, y) = (x – 2y, 5x + 2y) T2: R2 - R2, T2(x, y) = (0, x)

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Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

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Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: 3. 2. Z dydxdz 2=0 X=Z

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Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: -x+y+2z = -3 3x- y+z = -2 2х- Зу- 42 %3D 1 X = y =

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Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

Q: xyz 9. f(x, y, z) = x² + y2 + z2

A: Givenf(x,y,z)=xyzx2+y2+z2To find Domain of above functions

Q: tion: y" – 3y' = e3 – 18x. - -

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Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: af(x,yz) -

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Q: y = 2z3 [tan(3z+1)] a + xy – y5 = 8x? y = (x + 3)² (x² – 2)

A: You didn't mention what should I do with the given equations and this problem is posted as calculus.…

Q: Lion 1-y If x = Show that 1+y dy V1-y

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Q: o three steps atthe Secaut £(X) X-2 Using X-0 %3D

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Q: Find f(t). 2s + 3 s2 + 4s + 13,

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Q: Solid inside x2 + y2 + z2 = 16 and outside z = √x2 + y2

A: Given:

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: f'(x) 2 -4 -3 -2 1 2 3 4 -1 -2 -3 Concave down: 1

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Q: I Y=t5メPYove th y-2(21くるど

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Q: y = Vx-4 – 5 А. Domain :: {-00, о0 Range : {- o0, хo} В. Domain: х >5 Range : y > -4 С. Domain: х >5…

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Q: fin y" given that x^2 - xy + y^2 =3

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Q: X (2x +1) ax wing u- technique

A: To evaluate the integral: ∫x2x+12 dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫u'∫v…

Q: 31-x 2. Evaluate [(x+ y)dydx . 1 0

A: To solve this question first we integrate w.rt dy then put limits and after this integrate with dx…

Q: y fx) 4 3 21 -5-4-3-2-1 x- 1 2 3 4 5 -2 On what interval(s) is fincreasing? How about decreasing? 1.

A: Let's find.