Problem 4. Part (a) Part (b) 5ln(3-x) = 4 Do both parts. Write the sum using sigma notation: 2+5+8+...+29. Solve for x. Leave your answer in exact form.

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A: To find change in average cost as production goes from 150 to 151 units.

Q: Find the n-th Taylor polynomials for 1 about x = 3 and express it in f(x) = x+ 2 sigma notation.

A: Taylor polynomial of nth degree of f(x) centered at 'a' :          f(x) = f(a)…

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

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

Q: . Write both an absolute-value and a piecewise function to represent the graph.

A: 5. Absolute function  take graph of f(x)=|x|shift graph 3 units to right and 2 units…

Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: 2. Find the area of the region bounded by the curve r = 2 cos 30 .

A: Given problem:- Find the area of the region bounded by the curve r = 2cos(3θ)

Q: QI// Find the Area bounded by: x = -y2 and x =y-2

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Q: Find each limit, if it exists. xA + 4 (a) lim x- 00 x4 - 3 (b) lim *+ 4 x- 00 x - 3 (c) x4 + 4 lim

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Q: A manufacturer needs to make a cylindrical can that will hold 1500cm3 of liquid. Determine the…

A: Let r be the radius and h be the height of the can.

Q: Find the sum of the first 125 positive even whole numbers.

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Q: A 16 cm x 10 cm open rectangular box is to be constructed by cutting square corners out of a piece…

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Q: Weather condition Sunny Cloudy Rainy Snowy Percentage of days 42% 31% 18% 9% A) 1240 B) 3300 C) 2100…

A: Number of days in 2008 = 366 ( leap year ) Number of sunny days  =42%*366=0.42*366 Number of people…

Q: Current Attempt in Progress Describe the graph of the equation. 14 sin 9t i + 14 cos 9t j r = It is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the smallest value of x for which the series (x+ 124)" 2in(n) n 2 is conditionally convergent.…

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Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

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Q: Given the two vectors: å = 2ỉ -j+k, b = i + 2k and d = 3ỉ + 5j in 3D. a) Determine the dot product…

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Q: (a) [1.1] (b) [1.1] (c) [-0.1] (d) [-0.1] (e) [2.99] () [-2,99]

A: We have to find the value

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: y² − 5y = x³ - e² +c where c is the of integration. Setting x= we have . Thus, we have y — 5y — ( —…

A: This is a problem related to integration. Based on the general formula we will answer the question.

Q: Find each limit, if it exists. (a) lim + 4 x-00 x - 3 X4 + 4 (b) lim X 00 x -3 + 4 (c) lim X- 00 x3…

A: All the limits are in indeterminate form, just taking common  some power of x from numerator and…

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

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Q: dy 1 dx 3y3 By the method of separating the variables y = x3 y = Vx+ c Option 1 Option 2 y = vx + c…

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Q: QUESTION 1 Find ay/dx?- X = t + sint, y = t- cost

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Q: {In (n+10) – In (n+5)}°

A: an =ln(n+10)-ln(n+5)an =lnn+10n+5limn→∞ an =LIf the limit exists and finite, then the sequence is…

Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

Q: 6. The partial graph of g(x) is shown below. (x)8 76 5-4-3-2 -1 23 4 5 -2 |-6 and the point A' (-1,…

A: The partial graph of g(x) is given.  It is also given that, g(x)=-2f14x-6 and the point A'(-1 , 4)…

Q: d Calculate [r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and…

A: Given    differentiate

Q: Select all of the following tables which represent y as a function of x. y -2 -1 -2 -5 -1 2 1 2 1 1…

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Q: 5. Evaluate sin y - dy dx y

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Q: WHAT IS -1- ?

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Q: (4n². En=1 2 - 2n + 6, - limit comparison test -1 (8,² + n – 8) 7

A: The given series,      ∑n=1∞4n2-2n+68n7+n-8

Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: 7. Evaluate (5 – x)dA where R {(x, y) : 0 < x < 5,0 < y < 3}

A: Double integral

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Q: nd the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given the query is to find the maximum profit.

Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

A: First  I have found the Area of the shaded region region then find the critical point and then find…

Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (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…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

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Q: By total differentiation, determine or find the approx. change in the length of the hypotenuse of a…

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Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

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Q: 10) Find T4(x), the degree 4 taylor polynomial of the function for f(x) = cos(5x) centred at c = 2n…

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