Find the average rate of change for the function over the given interval. y = 3 between x = 1 and x = 4 x + 2 O-28 O-2 01/1/20

Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: 2 Determine the following functions (f+s)(x) = (c-g)(x) = (p * f)(x) = (g / c)(x) = (s + k)(x) =

A: Here ,  We have given some of the functions with some operations between them and now we have to…

Q: Given that f(x) = x² - 7x and g(x) = x + 8, find: a) (f+g)(-1): b) (fg)(1) c) (fg)(-1) = (-/-) ( −…

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Q: Find the limit: √√-8 lim 2-64 64 Give your answer to at least three decimal places: Submit Question…

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Q: x¹ - 1 x→1 x-1 cos(π + h) +1 h 28. (a) lim h→0 29. Find dy/dx/x-1, given that y = 1-x². 30. Find…

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Q: Find the real value(s) of x that verify the equation √x + √(x+2) = 0

A: The given equation: x+x+2=0 To find the real values of x that verify the equation.

Q: (b) xy' - 4y = x, (c

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Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). 9842722 K= X

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Q: the axis of the parabola. y=x2−4x+5       Question content area bottom left Part 1 The vertex is…

A: We can find equation of parabola.

Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) 2 In(kx) 1 y² = −x² (2 + ¹n(kx²)) 2 d. y² =…

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Q: Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x)…

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Q: A = -3 -30 25 1. -105

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Q: 2x + [2x] ate lim x+ 2+ x²+x-2 and lim x+ 2 2x + [2x] x²+x-2

A: Topic:- calculus

Q: Decompose 52+7 x³ + 2x²-x-2

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Q: Find the partial fraction decomposition of 12x³ - 37x² +48x - 36 (x - 2)² (x²+4)

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Q: Find the equation of the plane that passes through the points (1, 0, -1), (0, 2, 3), and (0, 0, 5)…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: 2. Find the limit if it exist of the following: x² - 2x a. (a) lim x2 3x2 10x +8

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Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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Q: Evaluate lim (√9x² V92 _5 +1+ 5x+1+3x). - x418

A: Find limit of function

Q: Check the fundamental theorem for gradients using the function T = 5sz (2+ sin²4) Pick as your path…

A: The given scalar valued function is Ts,ϕ, z=5sz2+sin2 ϕ. According to the Fundamental Theorem for…

Q: DO THIS TYPEWRITTEN FOR UPVOTE

A: We can answer the given question in the below steps.

Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

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Q: 1. Find lim 1 3 1 8 x→2- x2 - 4x +4

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Q: + COE 201 Assignment No. 1 I. Answer the following questions in a ½ crosswise yellow paper. For each…

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Q: 2x + [2x] x+ 2+ x² + x - 2 Evaluate lim 2x+ [2x] x+ 2 x²+x-2 and lim

A: Given information limx→-2+ 2x+2-xx2+x-2     and    limx→-2- 2x+2-xx2+x-2.

Q: (k/x². x 2 -1 < x≤2 x ≤-1

A: If the function is continuos at a point then the left hand limit and right hand limit of the…

Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Decompose 2x + 5 2x2 - 11x +5

A: A detailed solution is given below.

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given fx, y, z=xy+yz+zx Point P0=1, -1, 2 Equation of the line is x-310=y-211=1-z2

Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: By using Lagrange interpolation formula to determine the relationship between the force and velocity…

Q: Use the properties of limits to help decide whether each limit exits. If a limit exists, find its…

A: NOTE: Refresh your page if you can't see any equations. .

Q: (√9x²–5x+1+3x). Evaluate_lim (√97²

A: Here we have to use the concept of the limits. I have appended formula used in the solution part

Q: Decompose 4 x³ + x²

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Q: B: Fit a second order polynomials to the data in the following: 5 6 12 X Y 1 4 3 8 4 10 61 13 70 10…

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Q: f(x) = 4x² x²+49

A: Locate the possible asymptotes and intercept/sfx=4x2x2+49

Q: sin cos 0 cos sin

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Q: Solve (d) (z-y)y' + 3y - 5x = 0. I need a clear answer by hand, not by keyboard | dybala

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Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) C D xy² = c(2xy) x+y²=c(2xy)

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Q: PROBLEM S. Cousi peR Tue FOLLOWia Ĝ Sequence: X,-32 FOR aLle PROve TuaT m71, 1. aLL COmpuTe THe…

A: The given sequence is:xn+1=xn-xn5-325xn4 ,x0=12. It is to prove that xm≥2 ,where m≥1.

Q: 5. y = log₂ (sin x) 5. y = sec(In x)

A: Topic = Derivative

Q: Prove that (x₁, y₁), (x2, y₂), and (x3, Y3) are collinear points if and only if X1 Y1 1 2 Y2 3 y3 1…

A: The given points are:   x1, y1,  x2, y2  and  x3, y3

Q: A = 2001 810 -536

A: We know that if det(A) =0 then matrix A is not invertible, Given A=200810-536

Q: y = ln 1+sinx 1–sinx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use row reduction to show that a a 1 6% 1 с = 62 2 (b − a)(c − a)(c — b)

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Q: 43. Show that √(x) = {2²2 ²+ 2x, [x² +1, x ≤ 1 x > 1 is continuous and differentiable at x = 1.…

A: According to given data we can find the limit and derviative values in both side  And if  both side…

Q: 3. f(x) = tan(sin x²)

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Q: Let g(x, y) = x² + y² x² + 1 (a) Sketch the level curves of g at levels k - 1,2 on a common…

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Q: Determine whether the function G(x,y) { Is xy2/3 30-7x3, if (x,y) = (0,0) √√√x+2y³ if (x,y) = (0,0)…

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Q: A = 2 -1 2 5 5 -1 0 43

A: