Find the slope of the tangent line to the curve y = 4x2 at the point (–4, 64).

Q: Let f(x) = -3x² + C, where C is any real number. Then the expression f(x+h)-f(x) h can be written in…

A: The given function fx=-3x2+C, where C is any real number. We have to find the value of fx+h-fxh

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

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Q: y = √x = 1 -

A: Let us take f(x)=x-1. Now,            =12x-1x-1' =12x-1· 1=12x-1

Q: dentify and sketch the domain of f(x, y) = √x-y In (1 + y - x²)

A: solution is given below

Q: Find y" of y = √√x-4

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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: Let C be the curve of intersection of the parabolic cylinder x² = 2y, and the surface 3z = xy. Find…

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Q: Evaluate_lim_ (√√9x² − 5x +1 + 3x 3x). -

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Q: Given [(x³ - 3x¹ + 6x³ + 3)dx, evaluate the indefinite integral. Provide your answer below:

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Q: b. y = 2x² - 1 x + 1

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Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

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Q: 2y + [[2-y]] -m √→-2²¯ y² + y -2 lim 2y + [[2-y]] Y→-2+ y² +y-2

A: Topic:- application of limits

Q: A = 2001 810 -536

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

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: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation

Q: 4. x = y² +6, x = 2, y = 0, y = 1 rotated about the line y -3

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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: Sketch the level curves of g(x, y) 1- y² x² where k € {-1,0, 1}

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Q: Solve I need a clear answer by hand, not by keyboard | dybala (b) (x2+x-y²) dx - y dy <= 0

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Q: Each of the following differential equations has an integrating factor depending on only one…

A: as per company guidelines we solve only first question when multiple question being posted

Q: Let g(x)=(x-2)^2, and h(x)= |2x|+4 Translate these functions up by 1 unit and to the left by three…

A: Given, gx=x-22hx=2x+4

Q: Q1- Find all the second-order partial derivatives of the function: f(x, y) = sinxy

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Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

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Q: Name: Employee 1. Calculate the gross pay for the following employees: R. Dean A.Wilth L. Robinson…

A: We can find Gross pay .

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 3 O-1 0 1 O 2 T- O Does…

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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: 3x³y² +y dy 3y3x2-5x4 dx 2.) + = 0

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Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: M Sign in 4 ates C grossmontca.infinit. (535) YouTube * EdClub O Math HOMEWORK HELP LECTED HINTS,…

A: Given that a cup of hot chocolate was too hot but could be cooled once it was put in room…

Q: Ok, but how do you find Fxy = 0? I do not understand how we recieve Fxy?

A: Given function:- fx,y=x2+y2-2y

Q: 4. Find the Laplace transform of following functions: (i) (ii) (iii) f(t) = 20 f(t) = t - 2et f(t)=…

A: Basic formulae for Laplace Transform are required.

Q: Find the length of the curve. r(t) = cos(2t)i + sin(2t)j + 2 In(cos(t))k, Osts I 4

A: Given rt=cos2ti+sin2tj+2lncostk,    0≤t≤π4

Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

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Q: Consider the vector function given below. r(t) = (5t, 3 cos(t), 3 sin(t)) (a) Find the unit tangent…

A: NOTE: Refresh your page if you can't see any equations. . the unit tangent vector you have already…

Q: You are given the following function. f(b) = b + √b (a) Find the derivative of the function using…

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Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

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Q: A mummy was recently discovered. It now contains 66.7% of its original Carbon 14. About how old is…

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Q: Consider the function Which of the following gives the percentage rate of change P? Select the…

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Q: f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x,…

A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

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Q: Graph the parabola and find its vertex and the axis of the parabola.   ​f(x)=​(x−2​)2       Question…

A: Topic: parabola

Q: lim [[ 2-y]] + x2 z-k+zk _2-4h (!) Y→-2+ _zy + [[2-y]] y² +y-2

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Q: го о 0 0 0 1200 0430 1 2 3 8

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

A: Let's solve using Lagrange interpolation formula.

Q: b. C. x√5x-1 (b) lim x-1 x-3 (c) lim x-4 3x - 12 |x4|

A: From the definition of the limit; The limit limx→afx exists when the left-hand limit and the…

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 ↑em

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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: 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: The interval(s) on which f is decreasing is/are (Type your answer in interval notation. Use a comma…

A: To find the intervals on which f is increasing: