6. The function f(x) is defined by the graph. State the value of each: e) lim f(x) = x →4 f) lim f(x) = Z

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A: Limx--2(6x3+5x2-12x+b)/(x2+x-2) Find the value of b and the limit.

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Q: sketch and find the area of the plane region bounded by the gi x = y², x = 2y²-y-2

A: x=y2 , x=2y2-y-2

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Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

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Q: Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x +…

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Q: State the domain for the function f(x) = log6(-x + 5) + 4: O (-00, 5) (-5,00) O (-∞0,00) O (-00,-5)

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A: The average rate of change of a function f(x) from x=a to x=b is

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Q: Solve the following autonomous differential equation with the given initial condition. X = dx dt…

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Q: Find the limit or state that the limit does not exist. 2x²-2x-24 9-x lim X-3

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Q: Compute the first partial derivatives of the following function. f(x,y)=4- tan¹ (9x² + 2y²) x=0

A: GivenTo calculate first derivative for the function   f(x,y)=4-tan^-1(9x^2+2y^2)

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Q: Replace the question marks with L3 and R3 as appropriate. 4 ? ≤ f(x)dx≤? 1 For f(x), function is the…

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Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: The matrix on the right results after performing a single row operation on the matrix on the left.…

A: In the given matrices R2 and R3 are same. We have to perform row operation to change row R1 only.

Q: 5. y = x³ - 3x (-2,2) boak YA o divide t ✓ y = x (2, 2)in Figure

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Q: 6 5 4 10 3 -2 -7-6-5-4-3-2-1 -1 -2 5 6 1 2 3 4 5 6 7

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A: We have to find the volume of the cylinder.

Q: 3. √ √x² + 2x dx

A: Given integral

Q: 14. Find the equation of the tangent to the following functions at the indicated point. a)…

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Q: lim (9X+1) ² X→-1

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Q: dQ Use the Chain Rule to find where Q=√√4x²+4y² + 2z², x = sint, y = cost, and z = cost. dt 7 dQ dt…

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Q: If the number of bunnies B, increases at a rate proportional with the square of B, write the…

A: If the number of bunnies , increases at a rate proportional with the square  of , then to write the…

Q: If you were given a conic section in general form, how would you determine what type of conic…

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Q: 5) Find the Maclaurin series for the function ex

A: Consider the given function .To find the Maclaurin series for the given function.

Q: f = -9i+40j Find: -9f f=i-j g=12i+ 3j Find: -4f-10g u = -9i+4j Find: -5u

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Q: Find the derivative of y = (cos x)* y' - -x sin x y! = COS X + In (cos x)| (cos x)* y' = x(cos x)x−¹…

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A: We know that,A function f(x) decreases where f'(x)<0 .

Q: u = -9i+4j Find: -5u

A: u=-9i+4jFind -5u.

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Q: d the derivative dr do for r 2007 cos 0 =

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Q: 7. Find the scalar equation of any plane which contains the line 7 = (3,2,-1) + t(3,-2, -1)

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Q: Your answer is incorrect. Calculate the integral approximation Se for S₂ 75+1 dx. S6 = .01682

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