If 3 h(u)dv = 13 and / h(v)dv = 6.1 5. what does the following integral equal? | h(v)dv = 6.

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Q: where does this concave up and down?

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A: Let, the number is x. The sum of the number and the square of one less than the number, S=x+(x-1)2

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Q: d) 2х3у + e2y — 4х + 5x2. e) y = (2x* + 4)*x %3D

A: We have to find the derivative

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Q: TOPIC: Applications of Integration Plane Area Area between curves Volumes of Solids of…

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Q: 40-4V-V v? du

A: ∫40-4v-v2 dv∫44-4-4v-v2 dv∫44-4+4v+v2 dv∫44-22+2(2)v+v2 dv∫44-v+22 dv∫2112-v+22 dv

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Q: dx V3+2x-x2 10.

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Q: Direction: Solve the following equations using separation of variables. 4. sin(x)dx + ydy = 0, y(0)…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

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Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

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Q: An approximation using four terms of a series for the number x3 cos (22) dx

A: Given:      ∫01x3cosx2dx MacLaurin series is given by            fx=∑k=0∞fkak!xk In our case…

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Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

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Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

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Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

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Q: Consider the function: f(x)=4−6x^2, −4≤x≤1 . The absolute maximum value is: And this occurs at x=…

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Q: प- १ + का वपू

A: Let ,I=∫y-2+1dyput y-2+1=udifferentiate w.r.t.y12y-2dy=dudy=2y-2dudu=2(u-1)duI=∫u2(u-1)duTake the…

Q: What is the maximum value of f(x)= 2x4+16x3+40x2+64x+7 on [-8,-2]? a. -57 b. 4 096 c. -121 d. 2…

A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2   As we know that; The Power law; ddxxn=nxn-1

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: 6. * Sx3 V4-x2 dx

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