Discuss the continuity of the function. (Enter your answers as a comma-separated x²-9 x + 3 f(x) = f is discontinuous at x = 6 5 y 4 3 2 21 X -7-6-5-4-3-2-11 1 2 3 4 5 6 7 I NIII 2 3 4 -5 -6

Q: if f(x) = x² √In x² x . find the derivative of this function f'(x A. f'(x) = B. f'(x) = c. f'(x) =…

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Q: What is the first answer cant read it quite well

A: Let's find 1st answers.

Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0 3. Check for homogeneity…

A: Differential equation

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

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Q: dy dx x2(y2+3) + y (x3+1) = 0

A: To solve the differential equation.

Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.

Q: Find the time required for an object to cool from 300°F to 240°F by evaluating the following where t…

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Q: The y' and y" for y= -3 3√x

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Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

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Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

Q: How would this process look should we try to do it via limit definition (IE, (f(x+h)-(fx))/h)?

A: Derivative of g(x) at x=a=limh→0g(a+h)-g(a)h

Q: Help with problem C please.

A: Topic:- function and derivatives

Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: 2. y' ysecx

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Q: 3. f(x,y) tanx - sec²x - cosy

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Q: 13) 16) x2/3 x + 1 x³ x² +1 dx dx

A: Given data:- 13) ∫x23x+1dx 16) ∫x3x2+1dx

Q: Please

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Q: answer

A: As per policy only first question is answered. Please refer to the image below

Q: C2 2. y(x) = C₁x + C₂ + x² - 1

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Q: Evaluate the doubl Treat as

A: First we integrate with respect to x

Q: Q2: Find dy/dx for the following functions:- (1)y=x'Inx (2) y = √sinh √tanx (3)

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

Q: 4) 10 x-31=-40 31 + 2x=46 깃

A: As per guidelines we can answer only one questions at a time, so if you need more answer kindly…

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem

Q: Q4: Solve the following integrals:- dx ³-2x² (1) dx (2) √ √2√9-1² (3) fx² sinxdx (cos-14x)² 1-16x²…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: Evaluate the following definite integral. 6 Ste¹(-i-j+k)dt 0 Select the correct choice below and…

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Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

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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: Find the standard form of a circle given the following conditions. Sketch the graph. 1. x²+y²-25=0…

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Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

A: Differential equation

Q: Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is the…

A: The region Q is bounded by the function u(y)=2 and vy=y24 between y=1 and y=2 The solid formed by…

Q: (30) -3≤x-3y≤6

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Change the following integral to polar coordinates and evaluate: 4-x² [2² 0 x² + y² dy dx Sketo

A: To convert Cartesian coordinates into polar coordinates we use the following transformation, x=rcosθ…

Q: Solve ydx + (dy - 3dx)√(1-x²) = 0

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Q: 55. + -3 -2 -1 2 O -1 y -2 1 2 3 Graph of f' Let f be a differentiable function with f(1) = 3. The…

A: Let f be a differentiable function with f1=3. The graph of f', the derivative of f, is shown below.…

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: The Solution is given below

Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

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Q: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

A: Let's find function is homogeneous or not.

Q: B.    Find the DE of each of the following by eliminating arbitrary constants               1.…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

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: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

Q: 1) When using the Newton-Raphson method to solve the equation cos(ax) = x,this is done one of the…

A: The given equation cos(ax)=x Newton-Raphson method algorithm: The method is used to find the…

Q: Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x…

A: Please see the below picture for detailed solution.

Q: Which of the following differential equation is (are) solvable by a method that requires a…

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Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

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Q: 2. f(t) = √t+ ³√√t

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