Find the x-value at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither. f(x) =     1 + x2      if x ≤ 0  3 − x      if 0 < x ≤ 3  (x − 3)2      if x > 3 x =

Q: Q5 -(-) = A) fallaudng series is converges B)3 G 8 D) 1

A: We have to evaluate: ∑k=1∞1k+2-1k+3

Q: Solve the differential equation A) Iny=c B In c-y = x In y -x = c (D) x + Iny=c dy dx =y Continue

A:

Q: Make a table of values for the equation. y = 1 + √x X 0 1 2 4 9 16 y Sketch a graph of the equation.

A: Consider the equation  y=1+x

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A:

Q: Which of the following is the complete set of roots of the auxiliary equation for y'"-3y"+3y'-y=0. A…

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Q: 5x2 3x1 + 2x2 i. b₁ = 1, b₂ = 4 ii. b₁ = −2, b₂ = 5 -. x1 = b₁ b2

A:

Q: оо 77 -2 2 O 0 sin x dx

A: To evaluate the integral.

Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: 01 02 Q3 Q4 05 Q6 07 Q8 OU 09 Q10 Q13 The trigonometric substination to evaluate the integral…

A:

Q: A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1.…

A: Please see the below picture for detailed solution.

Q: .Identify the values of a, b, and a that could be used with the quadratic formula to solve the…

A: 2.

Q: What is the general solution of the differential equation 2y"+y' - 6y=0? A There is no correct…

A: Here we have given a differential equation. The auxiliary equation will be given as  2m2 + m - 6 = 0…

Q: Is the differential equation y2dx + 2xydy = 0 exact? A) NO B) YES

A:

Q: 10. Use the - definition of limit to prove the limit is 16. lim 6x-2 x-3

A: We need to show by the ∈-∂ definition of limit thatlimx→36x-2=16

Q: What is the degree of the differential equation (y) ²-xy"=1? A 2 B 1 C 4 D D) 3

A:

Q: Evaluate the integrals (9) I sin sin³ (a 0)d0 I

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Q: Let y = f(x) = 2x² + 7x. Find the slope s(h) of the secant line of the graph of y = f(x) passing…

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Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: the complete set of roots of the auxiliary equation for y"-3y"+3y-y act answer from among the given…

A:

Q: 3. If x³y-xy³ = 2 find y' and y" at x=1.

A: Given data:- The given value of x is 1. x3y-xy3=2    ----(1)

Q: The curve y2 - x5= -5x is a solution to the differential equation y' = (2x-5)/2y

A: Integrate by seperation of Variables

Q: Two straight line are y = x -1 and y = -x + 1. Find the point of intersection: i) using Cramer's…

A: We can solve this as follows:

Q: Question 9 Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x? A B y=ce²x y = 3x + C…

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Q: ytanx = y'ex

A: Given differntial equation y tanx =y"ex

Q: x²y" + xy' = x² + y 2

A: See this solution in below.

Q: dy/dx+y/x=xy^2 use y=v/x

A:

Q: Which of the following is the differential equation of the family of cubics cy² = x²(x-a) with 'a'…

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Q: Q2: If D = d dt > find a complete solution of: (D+2)x+ (D+4)y = 1 (D+1)x+ (D+5)y = 2

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Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: 4) w(x) = -3x - 4; Find w(7) 4-2, Find 6) g(n)=n² + 2; Find g(3)

A: (4) The function is given by wx = -3x-4 6) The function is given by gn = n2+2 To evaluate: The value…

Q: 4. Sketch a graph of a function g(x) with g(1) = 2 and lim g(x)=0. x→1

A:

Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ

Q: y" +9y2 cos 3x + 3 sin 3x

A: Please see the below picture for detailed solution.

Q: (b) lim 4-5x²+2x 3x³-2x+4 848

A:

Q: Determine the domain and range for the graph below. 5+ 4 3 -5 -3 -2 -1 a. Domain: C 1 b. Range: +…

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Q: How did you know the period is equal to 4 seconds?

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Q: Verify that the conclusion of the Clairaut's Theorem holds a) z = sin(xy) b) z = sin(x - y) c) z =…

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Q: lim X→0 3x-sinx X

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Q: 38. f(x) = = 1 3x - 2³ C=-1

A: We can solve it as follows for Taylor's series.

Q: Q18 Find the value of tank(in 3) 019 SUMM A) THE B) & D) MIH D)

A: I have stated the used formulas in the solution

Q: Find the equation for the tangent line of the graph of y = x² at (-1, 1). Equation: 1

A:

Q: 23. f(x) = (1+x)¹/4

A: Concept: The Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk In this case…

Q: Let f be the function given by f(x) = e + cos x - 1. What is the value of f' (2) ? A (B -1.281…

A: We need to find out the value of f'(2)

Q: 4. У y = 5. 6. y = x(x+1) 2x-1 f(x) = = at x = 0.6 1-3x+x² 13 2 at x = 0.77 1 (1+√1-x)²¹ at x = J x2…

A: We can find the slope of the given curve as below.

Q: xp (x) soo xu18+tb/22

A: Since multiple questions are asked, I am answering first question

Q: y" + 8y' + 52y = 26

A: Given problem:- y''+8y'+52y=26

Q: For a binomial test, if pn = 30 and gn=90, what is the value of n? 60 100 O120 150

A:

Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² + x = 0 Find…

A: Please see the below picture for detailed solution.

Q: C. Determine the differential equation on which the general solution is given or describe below by…

A: Since you have asked to answer question no. 4, we will solve that question.Question 4.We need to…

Q: 28. y = (csch-13x)4

A: y = (csch-13x)4 derivate this here we have use chain rule and do derivate . calculation is given in…