61. an = nsin RIS n

Q: If 12 ≤ f(x) ≤ 18, then O≤ ≤[ f(x)dx 2

A: Given: 12≤f(x)≤18 We are required to fill the blanks: ≤∫29f(x)dx≤

Q: Let R be the region bounded by the graphs of x=y^2-4 and 1/8 y^4-y^2+2 as shown below. Calculate the…

A: x=y2-4 and x=18y4-y2+2

Q: equation, in slope-intercept form, of the line tangent to the curve with param + 4t and y = Int at…

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Q: b) A water tank has the shape of inverted circular cone with base radius 2 meters. and height 8…

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Q: Given that tan A = 2 and tan B = 1, and that angles A and B are both in Quadrant I, find the exact…

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

Q: Determine whether the given point (x,y) is on the unit circle. Nin Ο No OYes QUESTION 20 Use the…

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Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…

Q: 1. Find the general anti-derivative of each of the following functions. (a) f(x) = 3x² - 4x + π (b)…

A: General antiderivative of f(x) is given by F(x)+c , where c is constant and F'(x)= f(x) Simply we…

Q: Let w be a vector with initial point (1,5) and terminal point (-6, –5). Write w as a linear…

A:

Q: Find the volume of the solid constructed by rotating the region under the curve f(x) = e¯ on the…

A: Volume of solid generated by revolving f( x ) about x axis is given as  V = ∫abπy2dx Given function…

Q: 0. Practice similar fxx (x, y) fxy (x, y) = Calculate all four second-order partial derivatives of…

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Q: baid 10. Suppose that the sum of two non-negative numbers is 12. What is the smallest possible value…

A: Let two non-negative numbers are x and y

Q: Find the area of the region under the graph of the function f on the interval [-27, -1]. f(x) =…

A: we need to find the area under the graph of the function fx=5-x3, from -27≤ x≤-1.

Q: Solve the initial value problem. x²y'+xy = 1, y(1) = 4 y =

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Q: 2 S√F (4- XN²3² dx 3/2 x) 3/2 2 1/2 = Sx²¹² (4- x²³²² 3²³ dx X" X 4/ 1/2 1/2 3x - 3/2 3 3/2 C4-x) +…

A: To determine whether the solution given by the student to evaluate the  integral is correct.

Q: If C(x)= 17,000+600x - 2.8x² + 0.004x³ is the cost function and p(x) = 4,200- 7x is the demand…

A: We have given the cost function C(x) = 17,000 + 600x − 2.8x2 + 0.004x3  and demand function p(x) =…

Q: raw View Help 49) log7 √7 A) 7 Picture B IU 2 B) =-/- OneNote for Windows 10 C) 1 32 Meredith…

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Q: Write the vector below in trigonometric form. m = −10i +10j m = 4√5 m = 4√√5 m = 10√/2 m = 10√/2…

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Q: Express the sum without using sigma notation. Simplify your answer where possible. Σ 3109100) 1=2 A…

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Q: 3) Curve Stretching Let F(x) = x 4-12x² +36x. use all significant Features (Domain, X and…

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Q: (a) True or False: If f'(x) = g'(x) then f(x) = g(x). (b) True or False: If f'(-1) equals 0 then f…

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Q: on oil producer the shape об is to have What the Surface Surface orea is a fixed Value for the H…

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Q: Evaluate the surface integral 3x dS, where S is part of the surface of a paraboloid with…

A: We have to evaluate the surface integral.

Q: The following table gives values of a continuous function. X ave 20 25 30 f(x) 41 38 29 35 40 45 50…

A: The following table gives values of a continuous function. x 20 25 30 40 45 50 fx 41 38 29 26…

Q: Evaluate the integral. Lo 6π t² sin(2t) dt

A:

Q: Determine of the following series { (-1)" n=1 the convergance и 2n+1 or divergence of each

A: We need to determine whether series converges or diverges.

Q: Let v=PQ, where P = (3, 5) and Q = (8,8). What is the head of the vector v' equivalent to v based at…

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Q: 1. The electrical power p(t), in kilowatts, being used by a household as a function of time t, in…

A: p(t) = power in kilo watt t = time

Q: First find ƒ' and then find ƒ. ƒ"(x) = 5 − (2x³ + 3x²), ƒ'(1) = −3, f(1) = 3. ƒ'(x) f(x) = = 0

A: f''(x)=5-(2x3+3x2),f'(1)=-3,f(1)=3

Q: Use the position function s(t) = -4.9t2 + 500, which gives the height (in meters) of an object that…

A:

Q: Solve the first-order linear differential equation. (Use C for any needed constant.) y' + 2y = 8 y =

A: y'+2y=8

Q: Tutorial Exercise Step 1 1 Use a definite integral to find the area under the curve between the…

A: We have to find the area under the curve.

Q: Determine convergence or divergence of the series. n=1 In n 4n-5 O Converges O Diverges W

A: The given series is:∑n=1∞ln n4n-5n

Q: (c) dx So ² (x² + 1)²

A: we have given integration ∫ 011x2+12dx

Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

A: The given series is: f(x)=51-x4

Q: Solve the trigonometric equation for all values 0 < x < 5. tan ㅠ -X- 3 - √3=0

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Q: 9) Find the arc length of r(t) = (cos 4t, sin 4t, t) from t = 0 to t = 2.

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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: Express the polynomial in the form an(x - ₁)(x-₂)(x-rn). x² + 11

A: The polynomial is given by x2+11 To determine: The expression of the polynomial in factored form.

Q: (a) x2 x² - 1 x²16 1₂ dx

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Q: find a unit normal vector to the surface at the indicated point

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Q: are there any holes for this function,verticial or horizontal asymptotes?

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Q: Find area of the region under the curve y = 4x³ - 8 and above the x-axis, for 4 ≤ x ≤7. area =

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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: Suppose -5 -7 [ f(x)dx = 1, [² f(x) dx = 10, -8 -6 [ f(x) dx = = -7 (1ƒ(x) — 10) da - = -5 [ f(x) dx…

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Q: The graph of a function is shown. Which graph is an antiderivative of f? b -0.2 y 2.0 1.5 10 0.5…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take the partial…

Q: I need help with the one I got wrong

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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: Both answers are wrong and I really need help

A: