lim (x)¹/(2x) €→∞

Q: Give the period of the function whose graph is shown above. Give the positive vertical stretch…

A: We need to find function equation from graph.

Q: The two numbers are (Simplify your answer. Use a comma to separate answers as needed.)

A: Product of the two number is maximum then the first derivative is zero

Q: Determine the area bounded by the curve: y=x^2-4x-5, y=0, between x=3 and x=6 y=1/4 (x^2-16), y=0,…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: √72² +4 7x6 + 4x + 2√x dx

A:

Q: Let z = f(x,y) = 6x² - 4xy +9y². Find the following using the formal definition of the partial…

A: z=f(x,y)=6x2-4xy+9y2.

Q: Given the function f(x) = , compute the left-endpoint (Riemann) sum using n = 4 on the interval [-2,…

A: f(x)=1x2+3, sub-intervals=n and interval=[-2,2]

Q: Let y'=2xy²; y=- 24 16-x²1 y(2)=2 Then by considering y=(x) as a solution of the differential…

A: y'=2xy2 Then y=2416-x2,y2=2

Q: Consider the function Evaluate the definite integral. f(x) = X x 3 L²₂ f(² -3 if x < 1 if x ≥ 1 f(x)…

A: Given: x     ifx&lt;11x    if x≥1 We are required to find: ∫-33f(x)dx

Q: A. (4,00) Suppose f(x)=√4x and g(x)=3x² + 3x-2. Then the domain of f(g(x)) is B. [-4,0) U (0.) C.…

A: As per guideline i can solve only first question

Q: Question Evaluate the definite integral given below. Submit an exact answer. Provide your answer…

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Q: 9. S arcsin 3x dx √1-9x²

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Q: 13. Find a differential equation whose general solution is y=c₁e²t + c₂e-3t

A: The given general solution is:y=c1e2t+c2e-3t

Q: Eliminate the parameter (NO SPACES). - x = 2t - 3 and y = 9 – 4t y =

A: given→⇒x=2t-3............(1)⇒y=9-4t.............(2)

Q: 7 x8 Type your answer without fractional or negative exponents. Use sqrt(x) for √. Find the…

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Q: find maximum and minimum of m(t)= 0.00291^3t + 0.00904t^2 -0.16t +122.81

A: mt=0.00291t3+0.00904t2-0.16t+122.81 Find the maximum and the minimum value of the given function.

Q: 7. The management of the UNICO department store has decided to enclose an 400ft² area outside the…

A: Let side along pine wood = x Let side along steel = y As we know that the area of rectangular field…

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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Q: Identify the type of polar graph. r = 3-3 sin(0) circle cardioid -2 rose curve O lemniscate O T -2…

A: We have to find the type of the curve given in the figure.

Q: QUESTION 1 14 St 2 (a) Find the Reimann sum for this integral using left endpoints and Consider the…

A: Integration of (2x2+4x+2)dx limit from x=2 to  x=14 We have to find Reimann sum using left end…

Q: [² (12)dx 1₂ (6x) dx -2

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Q: Use the cofunction identities to evaluate the following expression below without a calculator. sin²…

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Q: 1 x+12' Given f(x)= find the average rate of change of f(x) on the interval [9,9+h]. Your answer…

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Q: 11. Let on(x)=x" lim 84x for 0≤x≤ 1 and show that So, (0, 0≤x≤ 1, x = 1. 1. n(x) =

A: The given sequence is:ϕn(x)=xn      for   0≤x≤1

Q: 10T (12 + x) Find the first few coefficients. Co = 0 C1= Suppose that C2 C3 C || Immentari C4 = 10…

A: .

Q: Find all the zeros of the function h(x) = 2x3 + 3x²2 + 50x+75

A: The function is fx=2x3+3x2+50x+75.To find : Find all the zeros of the function.

Q: If  z = 8x2 + y2  and  (x, y)  changes from  (1, 1)  to  (0.95, 0.9),  compare the values of Δz…

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Q: Use the Midpoint method to approximate the area under the graph of the function ƒ(x) = x² +9 over…

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Q: -1 46. y = cos¯¹(x + sin¯¯¹ x)

A: We need to find derivative.

Q: Find the area of the surface. The helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v)…

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Q: Evaluate the integral using the indicated trigonometric substitution. S dx, 6x³ √x²+36 X = 6 tan(0)

A: The integral is ∫6x3x2+36dx   ; x=6 tanθ

Q: Determine the area that is bounded by the graphs of the following equations on the interval below.…

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Q: 9. This composite object is formed by a cone with a hemisphere on top. A formula for the volume of…

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Q: Let {an be the sequence 100 Use MCT to show that {an}1 converges. an+1 = a₁ = 2, 1 3- an for n > 2.

A: If (an)  is said to be monotone sequence of real numbers , (an) is convergent if (an) is bounded.

Q: (a) (b) (c) 2 5 frina- f (x) dx = 0 f(x) dx = 7 frina- f (x) dx = (d) 9 Lions- f (x) dx =

A: "Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the definite integral given below. Submit an exact answer. Provide your answer below:…

A:

Q: 12 Evaluate the integral. 9 14 √(6x4-8) ¹4 9 dx

A: let  B=∫99(6x4-8)14dx

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: Find the exact solutions of the following equation in the interval [0, 2π). sin 2x = sin x

A: given,  sin(2x)=sinx  given interval is [0,2π)

Q: an = √2¹+3n

A:

Q: Solve the equation in the interval [0, 2π). Enter your answers as a comma-separated list. √2 2 x = 1…

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Q: Consider the graph of the function f(x): (a) (b) (c) -2 (d) 0 Evaluate the following integrals by…

A: Firstly find the equation of line and then find integral.

Q: You have answered 0 out of 2 parts correctly. Let A(x) = f f(t) dt, with f(x) as in figure. 2 II 110…

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Q: Let f(x) = √49 X The slope of the tangent line to the graph of f(x) at the point (0,7) is The…

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Q: -0 -4 Amplitude: Period: Midline: 1 Function: -1 -2 Based on the graph above, determine the…

A: fx=AsinBx+C+D⇒A=Amplitude⇒C=Phase shift ⇒D= Vetical shift ⇒B=2πT,T=Time period

Q: Simplify the expression by using a Double-Angle Formula. (a) cos² (37°) - sin² (37⁰) cos 74 (b)…

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Q: Given the function f(x) = cos(2), compute the right Riemann sum R5 on the interval [0, 2]. R5

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Q: The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions…

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Q: Rewrite In sin - In cos | as a s single logarithm and then simplify the result.

A: The expression is given as ln|sinθ| - ln|cosθ|.

Q: The value of this left endpoint Riemann sum is 323 18 the area of the region enclosed by y = f(x),…

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Q: For the following polynomial function f(x)=x²-4, find the upper bound within which all of the real…

A: Given function is  f(x)= x2-4