Graph the parabola. 3 y= Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

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A: In this question, we want to find the left hand limit and right hand limit of the function.

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A: We have to find parametric equation.

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A: Given.

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[7…

A: Given, ∫ 7sinx- 8sec2xdx

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A: Given data÷   y=x2+2x+1 and  x-y=-3   y=x2+2x+1 is a parabola and  x-y=-3 is a straight line

Q: Problem 6 convergent. The series is Justification: Determine whether the series n=110 is…

A: See this solution in below

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Q: Let y₁ = e³x and y2 = xe³x be solutions for a homogeneous DE. Then, is also a solution to the DE.…

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Q: Find real numbers a, b, and c such that the graph of the function y = ax²+bx+c contains the points…

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Q: Without using a calculator, convert the parametric equations of a curve into rectangular form. No…

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Q: Find the lim inf (xn) and lim sup (x₂) of Xn = COS nπ

A: I have calculated the limits

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Q: Use the given information to find the indicated probability. A and B are mutually exclusive. P(A) =…

A: As per our guidelines we can solve only one question at a time.  Please upload separately for more…

Q: Please answer the following questions with full working out 1. Transform the given polar equations…

A: Given Problem:- Transform the given polar equations to Cartesian coordinates. Hence describe…

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Q: Find Select the correct answer below: 33 0 d = - = where y is defined as a function of x implicitly…

A: The objective of the question is determine dy/dx.

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A: Solution: Let the radius of hemisphere and cylinder is 'r' and the height of cylinder is 'h' Then,…

Q: The

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Q: z² = √√√xe²y-x. Consider the surface described by the equation a Find the equations of the normal…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y = x, hyperbola…

A: To find an equation for the hyperbola that satisfies the given conditions.Asymptotes: y=±x,…

Q: please both

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Q: f(x)={-2x, X = x ≤ 4 x>4 x² - 8x + 5, Find the x-value at which f is not continuous. Is the…

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Q: Find the indicated derivative and simplify. 4t² Int et dy dt for y =

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Q: A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether…

A: See this solution in below

Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

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Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 9x² + y² = r(u, v)…

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Q: Assume that x = x(t) and y=y(t). Let y = x³ +5 and dt Find dt dy dt when x = 3. (Simplify your…

A: Here is the solution:

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: NOTE: Refresh your page if you can't see any equations. . Rolle's theorem is  If a function f is…

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Q: Find the average value over the given interval. 32) y = 5x2; [-1,2]

A: We can find the average value as below.

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Let →r(t)=⟨2t−3,5e^−2t,−2e^2t⟩ Find the line (L) tangent to →r(t)r→(t) t=-3.

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Q: Calculate fff(x, y, z) dS For s f(x, y, z) ds z² + y² = 16, 0≤ z ≤ 2; f(x, y, z)=e=²

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Q: Given the following graph of f(x), state --6-5-4-3-2-1 3- 2+ 3 4 a) the domain b) the range

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