Find the numbers at which g is not continuous. Justify using the definition of continuity. x+2 if x ≤ 0 g(x)= e if 0≤x≤1 2-xif x>1

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Q: compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

A: Explanation of the answer is as follows

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A: Given differential is of the form M+Ndydx=0

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Q: cost function for Joanne's T-shirt production. hirts must she produce and sell in order to break…

A: we will find the required.

Q: f(x)=(2x+1)^4   Find the values of x where the tangent line is horizontal Values of X= ___

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Q: Three hundred books sell for $40 each, resulting in a revenue of(300)($40) = $12,000. For each $5…

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Q: Solve the following equations. Leave answer in exact form. 1. e³x = 5 2.5e-7 = 8

A: Given, e3x=5Taking ln on both sideln(e3x)=ln(5)We know that ln(ab)=bln(a)3xln(e)=ln(5)We know that…

Q: True or False The slope of a nonvertical line is the averagerate of change of the linear function.

A: The average rate of change of the linear function is the slope of a nonvertical line.

Q: Question 26 Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 when x =…

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Q: sinx What is the integrating factor of (1+x) y + 2y = - 1+x

A: We have to find integrating factor for given differential equation.

Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: Which of the equations below is a second order nonlinear differential equation? O B. O A. 2 dy |x²y…

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Q: Give the implicit solution of y'=y=xy²e Oe-2x = y²(x²+c) O e ²x = y²-c O e²x = x²(y²-c) е…

A: We will find the required  solution of given differential equation.

Q: Find the length of the curve. 1 10x³' y = 6 + X 2≤x≤4

A: y=x56+110x3,  2≤x≤4

Q: Integrate. S2x² sin (12x) dx = +C

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Q: (2) fx sin 2x dx.

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Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

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Q: f(x)=(2x+1)^4. A) Find an equation for the tangent line to the graph of ff at x=2…

A: Givenf(x)=(2x+1)4

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

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Q: If f(x) f'(x)= -3x sin²(x) + 3x cos² (x) + 3 cos(x) sin(x) = 3x sin x cos x, find Find f'(4) =

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Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

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Q: Find the value of the constant b that makes the following function continuous on R. 8x - 26 f(x) =…

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Q: List the intercepts and test for symmetry: y2 = x + 4

A: Given data:- The given equation,y2 =x+4

Q: Determine the degree, order, and whether it is linear or non-linear (y") ³-4y²=105x

A: Determine the degree,order, and whether it is linear or non linear

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: Question: Please have a systematic way of solnerate solution of the first-order differential…

Q: Which of the following equations can be made into a linear differential equation? A. (x² + xy)dy -…

A: To check: Which of the given differential equations is linear?

Q: Evaluate S9 cos √2x dx using a substitution followed by integration by parts.

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Q: (g) Differentiate g(x) = /1-². cos¹ (√) 3

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Q: FIND F'(x) F(x) = 2 tanx 1+cosx

A: To differentiate the given function.

Q: 1) Determine whether or not the following equations are exact

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Q: Find the exact length of the curve. x = 5 + 12t², y = 6 + 8t³, 0≤ t ≤ 3 12117-1)

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Q: 1. If an ((¹+√5) - (¹-√5)n), find a, and a₂.

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Q: graph each function.f1x2 = 1 x

A: Given, fx=1x

Q: Evaluate the derivative of the following function. 1) 6x H(x)= (5x +

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Q: Find the area of the shaded region. r² = sin(20) 4

A: See this solution in below.

Q: 1. Find the center on the line y = x and passing through the origin. differential equation…

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A: a) ∆x=b-an

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 O A 4 OB.…

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Q: 23. The accompanying figure shows the graph of y = -x² shifted to two new positions. Write equations…

A: Given: The figure shows the graph of y=-x2 shifted to two new positions. To write the equations of…