List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3 -3≤x≤0 x ≥ 0

Q: (1) Check if y(x) is a solution to the given differential equations below: (a) y(x) = exp(-2³).…

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Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

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Q: Write 11 Stan¹¹ iftan x dx in terms of 9 tan x dx

A: The integration of tan11x write in terms of tan9x.

Q: USE HOMOGENEOUS LINEAR HIGHER ORDER DE 4. y(4) + 50y(²) + 625y = 0 ANSWER: 4. y = (C₁ + C₂x) cos 5x…

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Q: Need this in complete and handwritten solution, thank you! Find the Differential Equation of the…

A: We have to find the differential equation of the Family of Ellipses with its center at the origin.

Q: sin 3x x-0 tan 4x 3. lim

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Q: Consider the following graph. YA Determine whether the curve is the graph of a function of x. Yes,…

A: Graph of a curve is given, we have to find its domain and range

Q: deo 9,757 meeee 2 W S 3 To find the arclength of y = 4x² OL= f* VI +64zdz √√1 + 8a² da √1 + 642² da…

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Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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Q: 2x²12-59 P₁ = (x, y) 2 y = 4x P₂=(x, y)

A: See the details solution in below

Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: a) (b) (c) ê Sir COS -2s (²+4)² 8 (²+4)² 2s (s²+4)²

A: Topic:- application of integration and derivatives

Q: Given the integral from 0 to x of the function e-x^2dx: Find the summation form of its Maclaurin…

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Q: A There is no correct answer from among the given choices. differential equation by separation of…

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Q: Evaluate the integral by interpreting it in terms of areas: [*(5-32) dx =

A: Lets sketch the graph of  f(x) = 5-3x and add the vertical lines x=0 and x=4  we get

Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

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Q: Determine whether the three points are collinear. (0,-4), (-3,-6), (2,-2) Are the three points…

A: See this solution in below with details

Q: усхо = (x+&z+x?-1; y&1=', y'&D=z

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Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

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Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

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

Q: 2) Write the equation in logarithmic form 343/3 = 7 a)log,=343 b) log, 343-7 c) log 343=7 3) The a)…

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Q: Create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: We need to create a piecewise function showing the rate of money f(x) that must be paid by a…

Q: Find an equation of the tangent line to the graph of the function at the given point. Y = sin 3x (=…

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Q: 1. f(x) = sx (x+1 if x ≤ 0 if x > 0

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Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

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Q: 5 db • ( 0 ) ² + 7 ( 40 ) + 6² - 6 ² - P 5 7 dp b dp4 =

A: To determine the unknown function and the independent variable in the following differential…

Q: 2+2x-1 dx x³-x

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Q: the general solution of the following equations: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ---------by…

A: Topic:- solution of differential equations

Q: 12. Find the area under the graph of f(x) = e-In(x) on the interval [1, 2]. O 0.5 O-0.5 O 0.693…

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Q: Which statements are true about matrix A if a ‡ 0 and a² #b²? b b a A = a [8 There is a unique…

A: Please see the below picture for detailed solution.

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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Q: question 5. (D² + 4D + 4)y=0, x= 0: y = 1, y' = -1 answer 5. y = e 2x (x + 1)

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Q: X f(x) f(x) = Complete the table. (Round your answers to four decimal places.) lim x-0 √x+7-√7 X X…

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Q: lim sec O 0→→→I+ 2

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Q: The inflection point of the graph f(x) = (x + 1)tan ¹(x) is B) (0,0) C) (-1,0) A) (15) D) (0,1) E)…

A: inflection point of the function f(x)=x+1tan-1x

Q: 6. Let f(x) = -5x¹ and g(x) = 2x + x. If h is the function defined by h(x) = f(g(x)), which of the…

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Q: 2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as…

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Q: If f¹ f(x) dx = 3 and 5 f¹ f(x) dx = 25, then ff(x) dx A)-2 B)1 C)-1 D) 2 E) 8

A: We have ∫3-1f(x)dx=3, 5∫31f(x)dx=25  We have to find ∫-11f(x)dx=?

Q: Evaluating a Function Evaluate the difference quotient and simplify the result f(x) = x² - 7x + 3 0…

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Q: If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height…

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Q: Topic: Differential Equations/Homogeneous equations Please find the particular solution of y2dx+x(…

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Q: lim A) e⁹ TE B)e-9 C) D) e-s

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Q: Let F = (2x, 2y, 2x + 2z). Use Stokes' theorem to evaluate the integral of F around the curve…

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Q: (1³7). (a) If Q is the point (x, sin(¹37)), find the slope of the secant line PQ (correct to four…

A: We have to find the values  of slope at given value of x.

Q: 7. State the restrictions on f(x) 2x 3x-6

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Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

A: Apply the derivative for the function as given in the question.

Q: 4. lim ¹-cos 2x x-0 sin 2x

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