Determine the equation of the tangent to f(x) at (3, 6) f(x) = (8x-7)(x + 2x²)

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A: We have to find out

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A: For a function f( x ) , we can find  critical points by f'( x ) = 0  Inflection points by f''( x ) =…

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A: Let F(s) be the function then inverse Laplace transform   is defined as  L-1(F(s))=f(t) Also,…

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Q: 5. Simplify the expression below (3-13) +14 42 - 5.2

A:

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A: Let's find x value.

Q: Construct the Lagrange interpolating polynomials for the following function f(x) = e2* cos 3x, xo Xo…

A: Formula for Lagrange interpolating polynomial calculation is:…

Q: Find the area of the shaded region. Include units in your answer. 10 cm 5 cm 12 cm 15 cm

A: Given

Q: 4. The duck population near a small lake can be modelled by the d(t) = 0.5(t² + 8) (t + 4) Where t…

A: given that , duck population function is given by :-d(t) = 0.5(t2+8)(t+4)where  t is time in years…

Q: Suppose W is the subspace of R“ satisfying the equation x1 + x2 + x3 + x4 : A. Find a basis for W-.…

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Q: Toll booths are used to collect money from drivers who use a particular road. On average, 45 cars…

A: Explanation of the answer is as follows

Q: Find the horizontal and vertical asymptotes of: 4x2 + 2x y = x2 + 3.x

A: Given, The relation y=4x2+2xx2+3x We have to find its horizontal and vertical asymptotes.

Q: Let P3 (R) be the space of polynomials of degree at most 3, with real coefficients. Let B = {1, x,…

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Q: 2. Mrs. Hernandez was helping her students with their classroom economy bank accounts. The sum of…

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Q: 3. Given f'(x) = 4x³ - 12x² complete parts a-c. Show all your work to earn full credit. a) Find the…

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Q: For each of the following matrices, use Gauss-Jordan elimination to either find its inverse or to…

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Q: 3.) Evaluate the following limits : a) lim x-2 b) (x²-3x+2) x-2 3-√√x lim- X-4 X-9

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Q: Suppose a system of first-order linear differential equations has eigenvalues A₁ = -3, A2 = -2.3.…

A: Given that a system of first-order linear differential equations has eigenvalues λ1=-3,  λ2=-2.3.…

Q: 13. Use the chain rule, in Leibniz notation, to find dx dy at the given value of x. а. у %3D Зи? —…

A: We are solving the first three subparts and for the next subparts post the question againand also…

Q: (2х + 20 2x (2y – 20) : (2у — 20 (2х + 20)

A: