iv 1 S₁²x x³ (1-x)5dx 3

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Q: Find the Taylor polynomial p3(x) for f(x) = 5x¹/³ at x = 3.

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Q: Find the inverse o a. f(x)=2x²-4

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Q: Find the limit. Use l'Hospital's Rule if appropriate.  lim x→0+ (tan(6x))x

A: eln(x) = x ln (x)a = a ln(x)

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Q: (7 y² +6 x)dx+ 11 x y dy=0 (*) a) Determine whether the given differential equation (*) is exact…

A: We have to determine whether the given differential equation (*) is exact

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Q: M8 3 k=1 √6ke √6k the following series converges. Justry your answer. OA. The series is a p-series…

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Q: Question ( ,. For the limit, Select one: O True O False 2x² sin x + 3y³ lim (x,y) →(0,0) 3x³ + 2y²…

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A: use the substitution method for finding the integral.

Q: Evaluate the iterated integral. Include a sketch of the region. * cos(x²) dydr.

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Q: company determines that monthly sales​ S(t), in thousands of​ dollars, after t months of marketing a…

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Q: dy/dt = 2.5. 9. Given y = e2x+1, find dy/dt when x = 4 and dx/dt = 0.5. 3r C: (d when x = ? and

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Q: What is the derivative of f(x) = ln(x)? x-1 ex X X In(x)

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Q: 3) For: f(x) = 10x + 96 and g(x) = x² + 8x + 16 A) At what two x-values is f(x) = g(x) (show algebra…

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Q: Suppose Find the value of f(82). f(82) = dx f(x) = 10, f(0) = 22.

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

Q: Consider the following function. f(x)=x²-8x (a) Find the critical numbers of f. (Enter your answers…

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Q: d the equation of the surface in Cartesian coordinates, given the equation in cylindrical…

A: Given query is to find the equation in Cartesian coordinates.

Q: 8. Spom INSTRUCTIONS: Find the line tangent to f(x) = sin(ln(x)) at point (1,0)

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Q: (7 y² +6 x)dx + 11 x y dy=0 (*) a) Determine whether the given differential equation (*) is exact…

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Q: Find fx(x,y) and fy (x,y). Then, find fx (-1,2) and fy (3,1). f(x,y) = In 1+4x³y²| {x(x,y)= fy(x,y)…

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Q: Find the inverse of the following function and state its domain. f(x) = 8 cos(12x) +7 Type 'arccos'…

A: solution:-f(x)=8cos12x+7Range of cos function is[-1, 1]Range of f(x): 8[-1, 1]+7Range of f(x): [-8,…

Q: Find f'(16) if f(x) = 7x² + 3x +3 √I

A: To find the derivative of given function

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A: ∂ (xn)∂x=nxn-1∂  ∂x(constant)=0

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A: Use the limit definition of derivative for finding the derivative at given point.

Q: what point on the curve of y=7x2+4x is the slope of a tangent line equal to -38?

A: Given query is to find the point where slope of tangent is -38