The graph of f-1 is given below. Graph the tangent line to f-1 at the point P(6, 1) for f(x) = -x² + 4x +3. Provide your answer below: -5 5 (0,0) 0 -5 (1,1) 5

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A: we use substitution method to  find the value of integral

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A: Given: Region R is bounded by x-axis, x=0,x=2π3 andy=3sinx2

Q: a $0.9062 cos (1-√3x) dx = = : -0-1 a=0.5968

A: We have given a definite integral problem

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Q: Q2) Evaluate the following integral (use Integration by Parts) Su². cos³ u+5 1-sin² u du

A: Concept: Integration by parts: To combine the end result of two or more functions, integration by…

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Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

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Q: The reverse order of sinx cos dxdy is sinx cos dydx S² x 2 1 y x -21 False O True O

A: Here is the solution:

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Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: Let ( 3x² + 2, f(x) = { 2x - 3, be a piecewise function. Evaluate 5 Sof(x)dx= 3 if x < 3 if x ≥ 3

A: The given function:fx=3x2+2if x&lt;32x-3if x≥3.We need to find ∫35fxdx.

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Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

Q: True or False: We have Select one: True O False 2 x² dx > 2 x³ dx 3

A: We know that ∫abxn dx = xn+1n+1ab = bn+1n+1-an+1n+1  where n≠-1.

Q: Find the ZC in a triangle ABC, if angles A = 84° and B = 48.39° O 37.61° O 47.61° O 48.39° O 84° O…

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Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: Find equation of tangent line y=4x cos x at the point (π, -4π) y = mx + b where M = and b =

A: To find tangent line .

Q: 2) Σ=1 (2i – i3)

A: ∑i=1n(2i - i3 ) 2∑i=1ni - ∑i=1n i3   here we use formula  ∑i=1n i = n(n+1)/2 ∑i=1n i3 = n2(n+1)2/4…

Q: Find a 3 x 3 matrix A that has eigenvalues A = 0, 16, - 16 with corresponding eigenvectors 080…

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Q: (b) Show that y = 3e²x + e-2x - 3x is the unique solution of the initial value problem y" - 4y =…

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Q: Find the area between the curve on the given interval  y= x^3 , y= x^2-1, 1 < x < 3

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Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

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Q: A population of female mosquitoes has been divided into three age groups: 0-9 day olds 10-19 day…

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Q: 12.Find a quadratic polynomial if sum and product of zeros are given (i) 9/20, 1/20 (ii) 2,√3

A: Topic = Quadratic equation

Q: 6. Show whether the series is convergent or divergent. Σ in! n=0

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Q: 4677×34677

A: 4677×34677= 162184329

Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: ODE. Find the general solution of the following. Show complete solution v/x 3. (x + ye )dx-xe dy = 0…

A: Identify the differential equation and solve it

Q: y ′ + xe y = 0.

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Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

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A: Let's solve.

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: Evaluate the following integral using inversion of order: of a dyda

A: Solution given below

Q: If √²₁ √√1-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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