Answer the following True or False: "Rate of change", "marginal profit", "marginal cost", "marginal revenue", "population growth rate", and "acceleration" all correspond to the first derivative. O True O False

Q: Obtain the solution of the following differential equations. 7. xy′ − y − 5x^4 − 3x^2 + 2x = 0

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A: As per company guidelines we can solve first question. I hope that the given solution will help you....

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A: We have to find domain and range 

Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: differentiate the following function: 1. f(x)=3-2x+4x^2 2.  3.

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Q: D 45.5° 11. Choose the best answer. Use double-angle identities, 2u = 48 to find sin 2u. O 0.7431 O ...

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Q: 4. Let g(x, y) = e"/v, Find an equation for the tangent plane at (x, y) = (2, 1).

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A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

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Q: *n/3 27. tan'x sec*x dx 28. tan (2x) sec (2x) dx /3 29. tan'x sec x dx 30. tan'x sec°x dx 31. tan'x ...

A: solve integration  

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Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

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Q: et* +2e* e* +1 xp -

A: Topic = Integration

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Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

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Q: Obtain the solution of the following differential equations. 1. xdy − ydx = x^2dy 2. xdy − ydx − √x...

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Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: Compared to the graph of y = 3 sin x, the graph of y = 3 sin(x + 1) – 2 is shifted %3D O 1 unit to t...

A: Given : To compare the graph of y=3 sin x and y=3 sin (x+1)-2 and to identify where it has been shif...

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Q: 1. Let f(x, y) = sin(x² – y). Compute fry.

A: Given that: f(x, y)=sin(x2-y)

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Q: OVIS lhigaimad goinisab A awordz n El 2nibs to s(t) milov ad sd osvig 2000 W x(t)

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Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* + co...

A: We are asked find the equation of the curve.

Q: Activity 2: Apply the different theorems four sin 7x 1. lim tan x 2. lim x0 2x 3. lim (cos x - 55*) ...

A: As per our guidelines we are supposed to answer only3 subparts of a question please repost other que...

Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

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Q: 1 lim ty1 + t

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Q: [2x + ycos(xy)]dx + xcos(xy)dy = 0 %3D

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Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(O)=0 * O y=2e^-6t cos(t) + 20e^-6t sin(t) + 2e^~4t O y=e^-6t cos(t...

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Q: Find the length of the curve r(t) (e" cos(2t), e" sin(2t), e"), -2 sts 2 %3D

A: I am attaching image so that you understand each and every step.