(Σ n=1 (−1)″r. 2n

Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

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Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions For example, suppose we…

A: Minimum value= -pi/2  Maximum value = pi/2  For detail...go through the solution

Q: It's wrong

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Q: Use Stokes' Theorem to evaluate SF. ds, where F(x, y, z) = (-xy, -xz, -yz) and C is the triangle…

A: Given that , Fx,y,z=-xy , -xz , -yz and C is the triangle with vertices 0,1,0 , 0,1,5 , 3,1,0…

Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: X Y 1 844 2 1259 3 1665 4 2314 5 3415 6 4517 Use regression to find an exponential equation that…

A: NOTE: Refresh your page if you can't see any equations. . X Y 1 844 2 1259 3 1665 4 2314…

Q: Let C be a cylinder of radius 5 whose axis of rotation is the y-axis. Draw a graph of C and then…

A: We need to find equation of cylinder. As per Bartleby guidelines we can solve one question from…

Q: What is the median of the following list of numbers? [4, 12, 12 6, 10, 3] Number

A: given numbers  4,12,12,6,10,3first step is to find median is to sort our dataset from lowest to…

Q: Part b pls

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Q: On the interval shown, for which graph is f' positive and f"' negative? OA. OB. Q O C. z Q 2 OD.

A: To choose the graph which describes the given characteristics

Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: Find the equation of the line through the y-intercept of y = x²¹ - 9x5 −7+ 9x² and the x-intercept…

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Q: DETAILS The velocity of a skydiver, in feet per second, t seconds after jumping out of an airplane,…

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Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: √2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du-…

A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: use derivative and critical points for absolute maxima/absolute minima

Q: 3) dx xinx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 44 If 2x=y¹/5 +y=1/5, then express y as an explicit d²y dy = 25 y. dx dx² function of x and prove…

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Q: Find the Taylor series expansion of f(x) = = = at

A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

Q: If y is inversely proportional to x, and y = 9 when x = 6, write a formula for y in terms of x. Use…

A: Given y is inversly proportional to x let k = proportionality constant

Q: For the function f(x) = 2x³-18x²+4: (a) Find the critical numbers of f(if any); (b) Find the open…

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Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

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Q: Find the particular solution of the D.E. y "+ 3y + 2y = 4e° = 4e* ON =e* 2 Oy₁ = / = Ae* + B

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Q: Let C be the curve f(x) = the length of C, as follows: In(x) X 2 4 - between x = 1 and x = e.…

A: Arc length

Q: sin(2x) x y = if x = л, dx = 0.25 find the differential. Round your answer to three decimal places.

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Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function:- y=2x

Q: → R be a function defined by 3x² + x+5 f(x) = not continuous at x = = 0.

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Q: 3. Write 2.734234 = 2.734234234... as an improper fraction.

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Q: DETAILS Use the Comparison Theorem to determine whether the integral is convergent or divergent.…

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Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

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Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: A population is modeled by the differential equation dP P d = 1.2P(1 - 2200) dt (a) For what values…

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Q: Suppose the graph below has the formy - Asin(Bx) + C. 2505042 Ов 15 10 Find the value of B. OB = 1…

A: We have to solve given Questions.

Q: 32. The radius of a circle is increasing at a constant rate of meters per second. What is the rate…

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Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

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Q: Consider the following information. lim f (x) IIC lim g(x) IC (a) (b) (c) 6 Use the information to…

A: To evaluate the given limits of function

Q: The weight of a body, W, above the surface of the Earth varies inversely with the square of the…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: (n^ + n)(n^ − n) = (n)H = H'(u) = Differentiate.

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: Consider the following. Find f'(t) and g'(t). f'(t) = g'(t) = f(t) = t sin(t) g(t) = 1 + t…

A: Let's find derivative of given function.

Q: Sketch the curve. r = 9 cos(8) O -4 ac -2 O y 2 -8…

A: Given query is to sketch the curve and find the area.