Let f(x) = (x³ +2x+4)* ƒ'(x) = = ƒ'(1) =

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A: Since you have posted a question with multiple question, we will solve first two question for you…

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Q: 2. Evaluate lim x48 -7x3 + 8x2 + 21x + 23 x4+1 - x4+1 xx-7x³ + 8x2 + 21x + 231 and lim

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A: The given parent function is

Q: So far we have the following. sec (8) cos(8) sin²(0), Jπ/3 =77₁4= U= We can now use the substitution…

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Q: the graph to solve the equation and inequalities. (a) x-1=-x+3/ (b) x-1<-x+3 (c) x-12-x+3 Foll - 17…

A: To find solution we check for the values of x from the graph

Q: 4. Find the bounded area between the curves. Draw the region. y = -cos2x 1x1 = 1/2 I x=1-sin2x

A: The region bounded by curves  ,

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Q: Write an augmented matrix for the following system of equations. - 2x + y = 9 6x - y = 8 What is the…

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Q: Find the general solution of the differential equation. 16y(4) y(x) = = y

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: 3) Given the functionf (x): = 2(x²-25) x²-4 a) Identify the horizontal and vertical asymptotes and…

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Q: 18. If three planes intersect in a point then the triple scalar product of their normal 19. In…

A: Statements are given.18. If three planes intersect in a point then the triple scalar product of…

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A: Solution is following in explanation step.

Q: 14. Starting with a 7-unit jug and a 10-unit jug, is it possible to obtain one jug with exactly 1…

A: Note: Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Suppose h(x) = f(g(x)). Given the table of values below, determine h' (2). x f(x) g(x) ƒ'(x) g'(x) 2…

A: Solution-h(x)=f(g(x))we have to find the value of h'(2),The chain rule states…

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Q: 5. (a) Let f(x, y, z) = xe³-². Compute the gradient field F = Vƒ. (b) Let C be the coiled spring…

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Q: Verify the linear approximation at (0, 0). f(x, y) = 4x + 7 = 7+ 4x - 21y 3y + 1 Then fx(x, y) = Let…

A: To verify:linear approximation of f(x, y) at (0, 0) is given by,

Q: Why is it that (k+1)^4 became (k+1)^3

A: Solution-

Q: de 10 Use the graph off to evaluate the following: 6 5 4 -1 3 2 1 f(x) X 1 2 3 4 5 6 The average…

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Q: Analyze the function below. Which of the following is/are true? 8 f (d) 818588

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A: Given,

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Q: How would you solve the integral S x² This is equal to S da - S da + S da, 4x which are all easy…

A: The denominator of the integrand is .Write is as,

Q: How did we get 40 in the last solution? How did we get (k+2) and (2k+1)

A: Given that :- To Prove :- Using Mathematical induction showing the left and right are equal.

Q: Directions: Find the instantaneous rate of change. Make sure to show all your steps. 1) 3x3, at x=2…

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Q: Find T, N, and K for the plane curve r(t) = (10t + 1) i + (6 −t¹0) j T(t) = 1⁹ √√1+118 (Type exact…

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Q: How do you calculate the Delta Z value for partial coordinates?

A: We have to show that how do we calculate the Delta Z value for partial coordinates.

Q: 6) 3x² = 7x + 20 -3x²-3x²

A: given information

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Q: Find the following. = ( ₁₁ — 1) , V₁ 1, = 2 U = (a) ||u|| (b) (c) ||u + v|| (d) (e) ||v|| (f) — 33 u…

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Q: es. Then use your sketch as a guide to producing graphs using a calculator or computer that display…

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Q: Solve the initial value problem: y(t) ty' + y = (20t² + 6t+2)y¹, y(1) = 1 (t>0) Your answer should…

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Q: For the following problem, find the quadratic function y = f(x) that has the given vertex and whose…

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Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

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