Identify the vertex by writing the equation in the standard form of a quadratic function. p(x)= x2-6x+8  Enter the vertex as an ordered pair, including the comma.

Q: ●y = (x+1)² √x+1 W= t+1 t-1 -t -)×(1-1 1-2t

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Q: Find the area in the second quadrant that is inside r = 2 + 2 sin θ and outside r = 2 + 2 cos θ.

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Q: Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that…

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Q: Graph the following functions by the method outlined below: i) plot all x-intercepts and all…

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Q: Consider the circle C of radius 4, centered at the origin. (a) Find a parametrization for C inducing…

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Q: Consider the rational function f(x) a. Determine the vertical intercept of f. f(0) = b. Determine…

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Q: For the points P₁ (8,7,8) and P₂ (9,8,7), find the direction of P₁ P₂ and the midpoint of line…

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Q: Consider the following function. x² 15 dx (a) Determine an appropriate trigonometric substitution. O…

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Q: . Evaluate the following integral or show that they diverge. ekz L (ebe + 52 de 5)²

A: Given query is to find value of the integral.

Q: The graph of f is shown. Apply Rolle's Theorem and find all values of c such that f'(c) = 0 at some…

A: see below the answer and calculation Rolles Theorem:- A function f(x) is continuous on [a,b] and…

Q: 5. 2 cars start moving from the same point. One car travels south at 60mph and the other car travels…

A: Topic - Application of derivatives We are given Speed of car travelling south=60mph speed of car…

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

A: As we know the expression for the volume of the sphere is: V=43πr3 Where r is the radius of the…

Q: Hi! Can I have some examples solved. I need to learn how to solve these fraction equations, show can…

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Q: Given the vectors v and u, answer a. through d. below. v=6i + 3j-2k u = 8i + 15j

A: As per bartleby guidelines we only give first three questions answers. Please repost for other…

Q: *: Solve the recurrence relation an = 7an-1 7an-1-10an-2 +16n.

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Q: Suppose that f(x, y) = −x + y², x = u² + v³, and y = 2u - 3v. Compute when u = 1 and v1. af du

A: Solution- given f(x, y)=-x+y2 x=u2+v3 & y=2u-3v put value of x & y in the given function…

Q: Evaluate the integral by making an appropriate change of variables x - 2y ·SS 3x-y R x - 2y = 0, x -…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Given query is to find the interval where function is increasing and decreasing.

Q: Consider the function f(x)=ln(x^2 +4) c. Find the open interval(s) on which f is increasing and f…

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: △C=C(x+∆x)-C(x)△C=C(90+1)-C(90)△C=C(91)-C(90)   for x = 90 for x = 91 △C=C(91)-C(90)=167.41 -…

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: 1. Cost Analysis and Production: A factory's weekly production costs y and its weekly production…

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Q: Find the equation for the plane through the points Po(3,5,5), Qo( − 3, – 5, − 2), and Ro(-4,1,1).…

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Q: 2 The graph of y = x²(x + 5) and y = = (x > 0) intersect at one point, X x = r, as shown to the…

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: Here we have to integrate the given series expansion of f term-by-term from 0 to x obtain the…

Q: Find the radius of convergence for: 2 (n!)*an η χη (2η)! Σ n=1

A: Let's find radius of convergence.

Q: For y = f(x) = 5x - 6, x= 3, and Ax=2 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Here we have to find the required function

Q: At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg,…

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Q: Solve the equation 3-5 = 27 for a suitable constant . Give your answer as an integer or a fraction.

A: By the property of equality of exponential functions, if the bases are the same, then the exponents…

Q: Find the exact length of the polar curve 4. r = 0², 0≤ 0 ≤ 2π

A: We need to find out the arc length of the given polar curve on the given interval.

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Use Newton's method to estimate the two zeros of the following function. Start with Xo = 1 for the…

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Q: Find dy/dx and d²y/dx² . For which values of t is the curve concave upward? 4. x = et, y te-t =

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Q: Enter T or F depending on whether the statement is true or false (You must enter T or F -- True and…

A: Topic = Trigonometric Functions

Q: Consider the following function. (If an answer does not exist, enter DNE.) f(x)=√x² + 3-X (a) Find…

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Q: In submarine location problems, it is often necessary to find a submarine's closest point of…

A: Distance between two points   ( x1 , y1)  and ( x2 , y2) is given as d=(x2-x1)2+(y2-y1)2

Q: A used car is purchased in 2019 and its value decreases according to V(t) = 7500(0.95) where t is…

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Q: Let ƒ(x) = ln[x°(x + 6)³(x² + 9)³]

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Q: Given the demand function D(p) = √375 – 2p, Find the Elasticity of Demand at a price of $165 6.708…

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Q: Consider the function f(x) =9(x- - 3)2/3. For this function there are two important intervals: (-∞,…

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Q: A linearised graph of y against x² is given below and the line passes through the origin and (5,6).…

A: Let Equation of linear graph fx=a+bxHere At x we use x2 So fx2=a+bx2

Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter…

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Q: Solve the system equation A) x+2y-z=3 2x-2y+z=6 x-4y+z=1 B) x-y+z=6 x+y+z=2 x-y-z=4 C) -x+2y-z=0…

A: A) x+2y-z=3.......(1)    2x-2y+z=6.......(2)    x-4y+z=1..........(3) summation of equation 1 and 2…

Q: 3. The radius of a circular oil slick expands at a rate of 2 m/min. a. How fast is the area of the…

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Q: e) h(x)= x-6 x²-36

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The average cost for a company to produce x units of a product is given by the function A(x) = to…

A: Averahe rate of change of price from x=a to x=b is given by A'(x)=A(b)-A(a)b-a

Q: The graph of the derivative f' of a function f is shown. y = f'(x) निए 0 2 4 6 y X (a) On what…

A: Graph of the derivative function is given We have to find the interval is f(x) is increasing and…

Q: Find the following for the vectors u = 4i + 8j+√3k and v= -4i-8j-√3k. a. v*u, |v|, and lu b. the…

A: Given u=4i+8j+√3k    |U|=√(4²+8²+3) =√16+64+3 =√83 And V=-4i-8j-√3k |V|=√(-4)²+(-8)²+(-√3)²…

Q: Sketch the graph of the given function. Check your sketch using technology. f(x) = x² + 4x + 4 (a)…

A: As per our guidelines we can answer only 3 sub-parts of the given question, so kindly repost the…