Find the domain of the following function. Select the correct answer below All real numbers except -2 All real numbers except 2 All real numbers except -8 All real numbers except -4 All real numbers except 4 All real numbers except 8 f(x). -2x+8

Q: Given the following piecewise function, evaluate f(-2). f(x) = Provide your answer below: f(-2)= 3x…

A: We have given piecewise function  fx=-3x+8  for x≥-2 Put x=-2 f-2=-3-2+8 f-2=6+8 f-2=14

Q: 3. Let W = √u+v². Find 2³ W du² dv

A: The function is given by W = u+v2 To evaluate: The expression of ∂3W∂u2∂v

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A: Given query is to find the limit of the expression.

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Q: General solution of (D^6+16D^4+64D^2) y = 0

A: The answer is given below:

Q: dy Given 3x4 + 2xy = 4y2 - 12, use implicit differentiation to find dx dy dx =

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Q: The fourteenth question: We suppose that {f: {1, 2, 3} → {a, b is a defined function as follows:…

A: We have to find the value of function.  Given data is -  f(1)=a  f(2)=b  f(3)=c  g(a)=5  g(b)=7

Q: Find the equation for the line passing through P=(1,3,−2) and perpendicular to the plane 2x+4y+z=2

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Q: don't understand how I can graph this function, can someone please help as well as explain

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Q: Apply Newton's Method to approximate the x-value of the indicated point of intersection of the two…

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Q: Use the substitution a = 2 sec t to evaluate the integral - dz

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Q: 15. dy dx = 3ex, y = 6 when x = 0

A: Topic = Differential equation As per guidelines , At a time only one question can be answered.…

Q: On the planet Sulvania, a mountain with an elevation of 1840 feet is the highest peak on the east…

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Q: 7315 Q₁. Find the angle between every two vectors below (Answer two only): a) d=i+2j-k and e--i+j-2k…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Iculate zu for z=₁₁₁x = e Z X 2u cos(3v), y = e²usin(=

A: We are given  z=2x-yx+3y, x=e2ucos3v, y=e2usin3v we have to evaluate zu=∂z∂u

Q: dz Calculate for z = 4x² + 3y², x = sin(t), y = cos(t) dt

A: Topic- derivative of a function we are given, z=4x2+3y2x=sin(t),y=cos(t)we know…

Q: 2x4 1+x² a) [: dx b) [ cos² cos² 2x dr

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Q: A woman plans to place a single sum in a certificate of deposit account with a guaranteed interest…

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Q: Evaluate lim 1-cos3x x→0 tan 2x

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Q: = : 0. z = x² + x − 3xy + y³ − 5, find all points(x, y) wherein zxand zy

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Q: 13. x cos2 y dx + tan y dy = 0.

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Q: III. A. Test the given function for its homogeneity. If it is homogeneous function, give its degree.…

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

Q: Find all values of where the graph of f(x) = 2x³-39x² + 240x-5 has a horizontal tangent line.…

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Q: Use integration to find the general solution to the differential equation: a) x² + y² + x + 2y = C…

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Q: QUESTION 3 Derive a Differential Equation that is free from arbitrary const

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Q: Using direct integration, evaluate the following convolution: e-atu(t) * u(t)

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Q: If P(x) = 5x – 7, Q(x) = 3x² + 5x + 6, and R(x) = 7x² + 6, find the following: (a) R(x) + Q(x) = (b)…

A: I have solved step by step in detail...go through the solution

Q: Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk.   A. curl F = 2y3i + x2k          B.…

A: Option (c) correct  For detail...go through the solution

Q: Solve the Initial = Find the general valve problem jy (0) = -1 solution (x² + 1) + 3xy =6x

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Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: For the polynomial, one zero is given. Find all others. 4) P(x) = x3 - 7x2 + 15x - 25; 5

A: NOTE: Refresh your page if you can't see any equations. . the given root is x=5 so take the…

Q: If y = √4x²+2sin-¹ A. 2-x 2+x A. 0 B. 2+x 2-x ,then y' equals, C. . Find d if y = arcsin√2x +…

A: Topic- Derivative of a function we are given y=4-x2+2sin-1x2and y=arcsin2x+arccos2xwe know…

Q: Sove ex-dx + e- xdy = 0

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Q: For the function f(x) = 6(2) - 8, state its domain, range, and asymptote and then graph the…

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Q: b. IF A = +²î - tj + (2+ +1) K B = (2-3)i +Ĵ-tk A. d_ (A.B) dt OBTAIN THE FOLLOWING @ t = 1

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Q: Use a grapher to find all local maxima and minima and the values of x where they occur. Give values…

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Q: 6. y = x² + 4x; x dy dx = x² + y

A: NOTE: As per our guidelines, I have solved one problem. If you want solutions of rest, kindly post…

Q: 56x²5x-50 15x²-44x-20 20x²7x-6 2x² + 9x + 10

A: We know that the root of quadratic equation ax^2 + bx + c = 0 is x = ( -b + √ (b^2 - 4ac)) / (2a)…

Q: = Multiply, and express answers using positive exponents only. 1 (6u²z - v² ) Lu 2 би V - 3v 2

A: Solution

Q: III. Eliminate the arbitrary constants of y = c₁ cos3x + c₂sin3x.

A: Given function, y=C1cos(3x)+C2sin(3x)

Q: y = 4-5x 4+5x

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Q: Given set A = {1, 2, 3, 4, 5, 6, 7, 8, 9) and set B = {1,4, 9, 16, 25), what is AUB? Review the…

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Q: Choice 1:Population Model The population of bacteria in a culture grows at a rate proportional to…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Sketch the graph that possesses the characteristics listed. fis concave down at (1,4), concave up at…

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Q: rounded

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Q: Laplace (d^2y/dt^2) + 6(dy/dt) + 9y = cost y(0)=1, y’(0)=2 What is Y(s) and y(t)

A: We know the following. L{y''}=s2Y-sy(0)-y'(0)L{y'}=sY-Y(0)L{y}=Y Now,              y''+6y'+9y=cos t,…

Q: Which value of a is NOT in the domain of the function g(x) 7- 42 13x 30 ?

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Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: We have to find the maximum profit and the number of units that must be produced and sold in order…

Q: Graph the function. y = (x+4)³ +4 ... Use the graphing tool to graph the equation. Click to enlarge…

A: We have to sketch graph of the function y = (x + 4)3 + 4