if √x ≤ f(x) ≤ 4₁ x + 1 for all the positive x-values, then what is lim P(X) ?

Q: Without a calculator work out the value of 5632–1402 1128 – 1 10 4 Please share your mettrod.

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Q: Find the Maclaurin series of 5.² n=0 sin(t) t3 dt.

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Q: PRACTICE ANOTHER Solve the system of linear equations. (Enter your answers as a comma-separated…

A: x1-x2=0...............A 7x1-6x2=-1..........................B

Q: 3) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1, π,…

A: x=sin3t y=2t z=cos3t Point÷ -1,π,0 π=2t means t=π2

Q: Use the equation to find dy dx }} dy dx dy dx ƏF ƏF ду = F X F y 7y cos(x) = x2 + y2

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Q: 3. f(x, y) = x² + 4xy + y²

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Q: 7) Find the area bounded by the line y = x and the parabola x = y² - 2y.

A: We know that the area formula int_a^b {f(y)-g(y)} dy

Q: Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

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Q: Use the following information for Problems 11-15: From its initial position of s(0) = -3, a particle…

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Q: 6. Consider the following graph of the function f(x) = cos(x). Draw on top of the graph to indicate…

A: Here we have given a function: f(x)=cosx. a) The limit that will compute the exact area represented…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Evaluate. Use reduced fractions instead of decimals in your answer. 8x e +3 ¡(² 4x e dx = + C

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Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. (x-4)²-2(y+5)-0 vertex…

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Q: 73. 1 S dx 0(8x² + x4) ¹/3

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Q: The three series Σ An, Σ Bn, and Σ C, have terms 1. 2. 3. Use the Limit Comparison Test to compare…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) =…

A: we have given velocity function v(t)=5t-9

Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

A: Give that marginal cost function C'x=0.0006x2-0.14x+25 and daily fixed cost is = $900

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Use the chain rule to find the indicated partial derivatives. x4. x² + x²y₁ x = s + 2t - u, y = stu…

A: To find partial derivatives of z w.r.t. s,t,u   Given z=x4+x2yx=s+2t-u and y=stu2

Q: Find the arc length of y = (*2²)* + over [1,4]. 2(x+2)² (Use symbolic notation and fractions where…

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Q: Find all four ways how to write point (3, 60°) in polar coordinates.

A: The point r,θ=3,60°

Q: cuny.edu/webwork2/tren/calculus4-2s/5/ Previous Problem a) b) S Problem List A graph of f(x) is…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

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Q: Find the derivative of f(x)=x²-3x² +9 final answer with no negative efonents in

A: We know that the derivative of e^(mx) is me^(mx)

Q: Let f(x) f'(2)= | ƒ' (6)= Lomm 7 Vx Evaluate each of the following: I

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Q: (iii) y = (3 + 2x)−5

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Q: Find the second partial derivatives of the function f(x, y) = x³y5 + 2x5y. a2f дх2 1. 2. 3. 4. - 82f…

A: The function is given by fx, y = x6y5+2x5y To determine: The expression of the following second…

Q: [ 2 (2x² – 3x) dx

A: we have given integration ∫25 2x2-3xdx

Q: Solve the equation and write complex solutions in standard form. x²-18x+91=0

A: Our Aim is to solve the equation given below and write complex solutions in standard form.Since, the…

Q: A rocket is fired at an angle of 25° to the ground and with an initial velocity of 120 m/s. Resolve…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: The power series representation of 1 3x + 2 is: f(x) =

A: we need to find the power series representation of the function f(x)=13x+2

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

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Q: 17. In 3/1 x 1 Lett In 20 + y dy dx

A: ∫ln2ln3∫01ex+ydydx

Q: 3. Evaluate each of the following limits, if they exist. lim (1+1)* [A5] a) x²-√√x b) lim x+1 √x-1…

A: To evaluate the limit first check whether the given equation is in determinate form or indeterminate…

Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

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Q: find the Maclaurin series for (a) sin x and (b) cos x. Where does each series converge?

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Q: Find area of the region under the curve y = 4x³ - 2 and above the z-axis, for 3 < x < 8. area =

A: We know that the area of the function f(x) at x=a to b is  int_a^b f(x) dx

Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: I need help with the one I got wrong

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Q: a. If you deposit 3500 dollars into an account with an APR of 8% compounded quarterly, how long you…

A: rate = 8/4=2% A=p1+r1004t5000=35001+21004t107=(1+0.02)4t107=1021004tt=

Q: Use the limit comparison test to determine whether an = n=12 an lim = lim n→∞ bn n-x n=12 (a) Choose…

A: We have to to Check the convergence of given series.

Q: f(x, y) = 9 — x² y4

A: To use the second derivative test, we need to find the critical points of the function first. To do…

Q: Find the first partial derivatives of the function. 4 f(x, y) = x² + 7xy5 X fx(x, y) = fy(x, y) =

A: Given f(x, y) = x4 + 7xy5

Q: Determine x = f(t) for dx (t² + 6t). dt = 6x + 6, t> 0; f(1) = 9.

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Q: You know that: ■ +5√3 food f(t) dt = 31 • ƒ(7) - 22 Evaluate: = I · ƒ(7) = 25 ľ 70 cos(x) f(10…

A: Let u=10 sin x Differentiation du=10 cos x dx

Q: Find the following for p =, q =, and r = Find 8r+ 3q Answer: ^ Submit Answer

A: p=-7, -6q=-1, -11 andr=0, 9

Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

A: we have given the marginal cost function C'x=0.0006x2-0.14x+25 Daily fixed cost is = $900

Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: The sum can be written as a single integral in the form Determine a and b. a = b = 5 ·[³1(x) dx - 16…

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Q: 8. Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

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