If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration for the first integral? a= and b=

Q: In the region in the first quadrant bounded by f(x) = 4x - x2 and the x-axis, what are the lower &…

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Q: find d/dx 2x^2 -x using derication from first principle

A: Our Aim is to find the derivative of 2x2-x using derivation from first principle.

Q: Differentiate the function. g(t) =  ln    t(t^2+1)^6                   3rd root of 8t-1

A: The solution are next step

Q: EXAMPLE 6 Evaluate , y sin(xy) dA, where R = [1, 2] × [0, 7]. SOLUTION If we first integrate with…

A: ∫∫R y sin xydA=∫0π∫12y sin xydx dy                        =∫0π∫12y sin xydxdywhen we integrate…

Q: integral (dx/(√(x)+x))

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Q: V(x) = (5x³ + 3)(x* – 2x) V'(x)

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Q: What is the local linearization of f(x) = arcsin(1+4x) near x = −1/4   arcsin(1+4x) ≈

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Q: Longest interval for (t+2)y’’-(sint)y’+ty/t-4=e^2t/t y(-1)=0

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Q: f(x)=5x^3/(1−4x) ^4 find an equation of a line tangent to f at x=1

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Q: (7) Find if \.Y =ln12- Cosx) , 2- Y= %3D

A: Calculate dydx. 1. y=ln 2-cos x. Derivate with respect to x by applying chain rule: dydx=dydududx.…

Q: Find the integration of function b a) S[secx 2tanx3 csc25x -

A: We have to find the given integrations

Q: Cosh sec (3* Find (y')(3**) -X+1 y = log, 3

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Q: determine the relation x^2 + y^2 = 13. dy/dx in terms of x and y using implicit differentiation.

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Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: 1. ſx3 tan-1x² dx (Integration by Parts)

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Q: sin" rdx

A: Solution:Given∫0π/2sin7xdx

Q: Y = √²n²√x+1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: find dy/dx by implicit differentiation for: f(x)=In (2x+1)^3/squareroof of x^2+1

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Q: How would I integrate 1/ln(x)? (Having only done calculus 2)

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Q: Compute for dy dx cot(2x + ex) y = sec(2x + ex) · y = e²² csc(2x) + 2x cot (2x²)

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