Evaluate the limits. If any of them tend towards-oo or +0o, enter "oo" (two lower case "o" letters) for the infinity symbol. If the limit does not exist, enter "DNE". 3 lim %3D (z – 2)? | 00 3 lim (z – 2)? 00 lim 1+2 (z 2)

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A: 1. (D5 - 15D3 + 10D2 + 60D - 72)y = 0  ......(1) This is fifth order homo geneous equation. The equa...

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Q: Find the first and second order partial derivatives for z = x² sin (3x + 2y).

A: As we know that; The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x And The first order ...

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Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: 1 S- (z+1)² (2z²+4z-34)7 dz

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Q: Solve the following equation. x-4 =7 Select the correct choice below and fill in any answer boxes in...

A: Given query is to find the solution of the expression.

Q: dt 七

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Q: A local company makes two flavors of jam—strawberry and raspberry. Both flavors are sold through thr...

A: Here is the solution

Q: Problem 2. A Bernoulli differential equation is one of the form dy + P(x)y= Q(x)y" (*) dr Observe th...

A: First order differential equation : Consider the first order differential equation             dydx+...

Q: Evaluate the limit using the appropriate properties of limits. 4x2 - 7 lim 3x + x - 3

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

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Q: 4- 2- -6 -5 -4 -3 -2 -2 -3 Find the following limits. f(x) lim I1- g(x) O-00 O 0 O Does Not Exist

A: topic - limits

Q: dx -1.4x + 0.5y, dt dy 2.5x – 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the large...

A: Please see the below picture for detailed solution. 

Q: SOLVE THE FIRST ORDER DE. (x² – 3bxy + 2b²y²)(xdx + ydy) = xdy – ydx

A: Given differential equation is (x2-3bxy+2b2y2)(xdx+ydy)=xdy-ydx

Q: ". standard deviation is always positive

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Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 + ...

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Q: Given f(x) = 2x + 5 when x cannot equal 1, and f(1) = 6. a) Sketch the graph of f. b) For wha valu...

A: Firstly , we draw the graph of the given function and after that find the value of 'x' .

Q: 15

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Q: 1. Н: у%3DNx+1 g: y= x| 2.

A: We can draw the graph and find domain and range as below

Q: Sove the differential equations ( 6x-3y+2) dx = (2x-y-1)dy when x=2, y xp z+ he-x9)

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Q: EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

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Q: ū = (-/3, –1) and w = (1, /3) E. |

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Q: 3. [x*e"dx x'e

A: Given query is to find the value of the integral.

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Q: Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

A: solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power rule;ddxxn=...

Q: Solve the first order differential equations dy – yln(yecosx)dx = ysindx

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Q: 12) sin-1 -1 14) tan 0 V3 16) sin-! |

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f...

A: Given:- The function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of ...

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Q: fx)ニxX-3 aニy

A: f(x)=xx-3 , a=4

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Q: If two objects travel through space along two different curves, it is often important to know whethe...

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Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

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Q: ve the following: 1. Find the magnitude and direction of the given vector from D(-5, -4) to E(8, -2)

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A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

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Q: 4. f(x) = 5. f(x) = at x = 2 %3D 一八 at x = 0 %3D

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