Determine the set of x-values where f(x) 2 + 4x is continuous, using interval notation. 1 X-

Q: Find the Linearization L(x) of the function at a. b) f(x)=e^x+1 , a=0.

A: To find the Linearization Lx of the following function at 'a'.fx=ex+1, a=0

Q: The general solution to the DE in the initial value problem (IVP) (y" + 8y' +16y = 0 y(0) = 1 y'(0)…

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Q: 11-20 Find dy/dx by implicit differentiation. 11. x² + y² = 100 12. x³ + y³ = 3xy² 13. x²y + 3xy³ -…

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

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y': || y…

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Q: 3. y' = sin(t + y)

A: Y'=sin(t+y) dy/dt=sin(t+y)......1 Let  v=t+y  Differentiate with respect to t

Q: -3x+6y = 9 x-2y = -3

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Q: The graph of a quadratic function with vertex (-2, -3) is shown in the figure below. Find the domain…

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Q: 2. Solve the logarithmic equation a) In 10-In(-x) = ln(3-x) b) log₂ (x + 1) = 1 + log₂ (x - 1)

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Q: A strain of Staphylococcus aureus doubles every 8 hours. A colony of 20000 was cultured in a petri…

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Q: Please show your answers to at least 4 decimal places. Find the directional derivative of the…

A: we need to find out the directional derivative.

Q: CSC 3/¹² (3x) cot³(3x)d

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Q: . (tan¯¹(t),e¯² Evaluate lim (tan-¹(t), e-2t, Inty t→∞

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Q: Use the degree 2 MacLaurin polynomial of f(x) = cos(2x) to approximate cos(2). . (Enter a number for…

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Q: Find the transform of the given function by use of a table. f(t) = 5t sin (5t) + e-st cos (t) A…

A: Given : f(t) = 5t sin(5t) + e^(-5t) cos t

Q: Consider the function f (x, y) = = √x² + y² - 4 x - 1

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Q: Find r(t). u(t). r(t) = (3t − 6)i + ¹⁄t³j - + 1⁄2 +³₁ + 2k u(t)= t²i6j + t³k r(t) u(t)= 2

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Q: (d) Show 1. Given the following table of values, find the indicated rivatives in parts (a) and (b).…

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Q: Find the general form of the quadratic function with the vertex (2, 1) and a point on the graph (-2,…

A: The quadratic function has vertex at 2,1 and a point on the graph -2, 17. We have to find the…

Q: Find the Wronskian of the given pair: e4t, e-3t/2 (11/2)^(5/2) O (5/2)^(5/2) -(5/2)e^(5/2)…

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Q: Solve the given initial value problem. dx dt dy dt : 6x + y; || - 4x + y; x(0) = 1 y(0) = 0

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Q: 2) Solve 2y" +5y' = 10, where y(0) = 1, y'(0) = 0. (hint: use integrating factor)

A: Given :solve 2y" + 5y' = 10 , where y(0) =1, y'(0) = 0

Q: Use differentials to approximate √3.99

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Q: . Evaluate the for parametric equations x = 3t² - 6t and dx = 3t³ + 3t with respect to the…

A: Given query is to find the Indicated derivative.

Q: Solve for the solution of the D.E. y" +9y=9sec23t O y = C1cos3t+ C2sin3t+ sin3t In(tan3t + sec3t) -…

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Q: Question Let h(x) and g(x) O O O = -4x-2 -4 = f(x) g(x)' Select the correct answer below: where f(x)…

A: We know, ddx(u(x)v(x))=v(x)u'(x)-u(x)v'(x)v(x)2

Q: Find f'(x) for the function f(x) = ²+4 ²-4

A: Find the derivative of the function,  f(x)=x2+4x2-4

Q: A current state has a population of 3500. With the rate of 0.23/year, what will be the population…

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Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

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Q: Exercise 1 (1+4) ³-1 h The given limit lim h→0 Definition of the derivative represents the…

A: Given; Limh-0[(1+h)2/3-1]/h.

Q: Find y as a function of x if X y(0) = −1, y′(0) = 9, y″(0) y(x) = = -16. = y" - 4y" y + 4y = 0,

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Q: to Use logarithmic differentiation And the derivative, (ar ²-1) 5 -f(x)=√√√²+3x-1

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Q: Graph Oct 21, 12:08:04 AM A particle moves along the x-axis so that at time t≥ 0 its position is…

A: Given query is to find the total distance traveled by the partical.

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

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Q: Please show your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = e¹*…

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

Q: дz (b) Without using implicit differentiation, find where xyz + x-y-z = 1. dx 2

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Q: lim f(x) = 2-1 x²+x-2 x²-1

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Q: Evaluate the iterated integral I SV Answer: 1+ eº dw dv.

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Q: factor the following

A: The given question is Factor the following1. b2+bc-6c23. 6x3-x2-12x

Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

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Q: Let F(x) = ² Find the MacLaurin polynomial of degree 5 for F(x). € -2t¹ dt. 0.14 + 60.24 Use this…

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Q: projectile is fired upward from a height of 110110 feet above the ground, with an initial velocity…

A: Given query is to find the time when object hit the ground.

Q: Only

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Q: The answer wasnt correct

A: Given; f(x,y)=xy, point (-4,-1) and direction is <-3,-5>.

Q: given cosA=-4/5 with A in QIII and sinB=4/5 with B in QII. what is the value of cos(A+B)?

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Q: (14) Give the appropriate form of the partial fraction decomposition. 2x+32 (x+1)(x+7)

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Q: Find ged(1326, 819) using the Euclidean algorithm.

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Q: Johnson placed $15,000 into his credit union account paying 7% compounded semiannullay. How much…

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Q: Use the implicit function theorem; dz/dx = -Fpartialx/Fpartialz to find dz/dx and dz/dy…

A: Given expression: ln(2x3+2y6+3z5)= 14+12xyz Let f(x,y,z) = ln(2x3+2y6+3z5)- 14-12xyz We know that…

Q: Find the equation of tangent xªy-xy²= line to 1=-2 at (-1,41)

A: The given equation is; x4y-xy3=-2, (-1,-1).

Q: 2. Separation of Variables Determine which of the following differential equations are separable. Do…

A: Let's find given diffential equation is separable or not.