Evaluate the integral: -28 √7² √² + 100 dx

Q: The sum of the arithmetic series: t2 = 8, t5 = 9.5 and n = 12 is equal to

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Q: d² u du dr2 dr (d) + u = sin u. 2 (e) ² = √ 1+ (dy) d²y dx2 (f) *x (1 + x³ ) x - x.

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

Q: 3. Given the function f(x) = 4x³-6x²-20x + 30 a. Factor the function completely. b. Determine the…

A: Given: f(x)=4x3-6x2-20x+30

Q: sum of an infinite series is given by S= 25/(1+3/4) What is the common ratio of this series? A. 25…

A: Given query is to find common ratio.

Q: the full answer wasn't shown in the solution box, please provide the rest

A: any differentiable function must be continuous at every point in its domain so  a.) If a function is…

Q: Let f(x) be a continuous function defined on the interval 2 < x <∞o such that f(3) = -13 |f(x) < x²…

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Q: A bank features a savings account that has an annual percentage rate of r = 3.4% with interest…

A: The given data is: St=P1+rnnt

Q: Learning Target DA3: I can use the Extreme Value Theorem to find the absolute maximum and minimum…

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Q: 4 2. The volume of a sphere with radius r is given by V = (a) Take derivatives of both sides with…

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Q: Find both first partial derivatives. h(x, y) = e-(x4 + y4) hx(x, y) = hy(x, y) =

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Q: Graphy = -5.32x2 +64.7x-20.2, and from the graph determine the number of (a) relative maximum…

A: To find out the relative maximum and minimum points and also the inflection points.

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 80,000+500x. (A) Find the…

A: Solution is given below:

Q: Find the values of A and B that will make the function continuous at x=2. f(x) = A = 2 B= 2x + 3 x…

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Q: escribe how the graph of y = log1/ -4 relates to the graph of y = log(x).

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Q: Calculate the center of mass for the following collection of point masses on the real number line. 3…

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Q: x^2y"-5x'+9y=0  y'(0)=y(0)=0 Solve this DE

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Q: 1) a) Consider the region bounded by y = √√x, the x-axis, and the line x = 1 as shown. Draw the…

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Q: For y = 4x + 12x² - 12x, determine concavity and the x-values where points of inflection occur. Do…

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Q: Find a plane through the points (7,-2,6), (-5,6,-2), (6,-2,1) Calculator Check Answer

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Q: 8. Determine the dot product of u = [5,-3,1] and v = [2.–2,

A: The vectors are given as u→=[5,-3,1]v→=[2,-2,3].

Q: Which of the following integrals are improper? (Select all that apply.) I ľ 8 -8 1 7x - 1 2x - 1 dx…

A: Given integrals:- a) ∫6717x-1dx b) ∫0112x-1dx c) ∫-∞∞sinx1+4x2dx d) ∫15lnx-1dx

Q: Using the process shown in this unit, sketch the function y = 2x³ 2x³ 3x² - x - 2, labelling all key…

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Q: Find all points of intersection of the given curves. (Assume 0 ≤ 0 ≤ 2π. Order your answers from…

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Q: Use Simpson's Rule with n = 8 to estimate the volume of the solid obtained by rotating the region…

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Q: 2) Consider the same region bounded by y = √x, the x-axis, and the line x = 1 as shown.

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Q: on my corrections, the answer shows up as 1/25

A: Given, limx→5x-51x-15

Q: Suppose f(x) = 7x²+5x. Find: ƒ'(1) =

A: Given: f(x) = 7x2+5x

Q: 5. 1-3 7 + 11 1 15 + 1 19

A: Given

Q: 2) What are all values of p for which the infinite series (A) p > 1 (B) p> 2 (C) p≥ 2 n +1…

A: The given series is summation of n/(np+1), n from 1 to infinity.

Q: Solve y'+4y= 0, y(7) = -3, y(t) = What is the period? Period = Y(7) What is the amplitude? Amplitude…

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Q: csch² In sin x tan x dx

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 7e²-6ye*

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Q: Rob has a lock for which the combination consists of a sequence of four single digits. Rob…

A: This is a permutation and combination problem. we have to find 4 digit different code. For the first…

Q: Let f(x) = 1 (x¹ - £)5 6 f'(x) = 0 Find f'(x).

A: to find f'(x)

Q: Suppose the population of a city can be modeled by P(t) years since 2000. = 1730e0.11t persons,…

A: To find the fraction of college graduates in the city, we need to divide the number of college…

Q: Integrate x²-x+6 x³ + 3x [² -dx. The partial fraction decomposition is (write all terms as…

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Q: 2-0 3. Let f(x) = 2x³+4x-4. Use the intermediate-value theorem to estimate the location of the zero…

A: Given: f(x) = 2x3 + 4x - 4  Interval: [ 0 , 1 ]

Q: where did you get the 62.4?

A: In a pool filled with water to a depth of 10 ft, calculate the fluid force on one side of a 3 ft by…

Q: f(x) = √√√x + 3 and g(x) = of 2: Find the formula for (gof)(x) and simplify your answer. Then find…

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Q: or a monopolist's product, the cost function is c= 0.006q +20q+8000 and The profit-maximizing output…

A: Given cost function c = 0.006q3 + 20q + 8000demand function p = 550 - 4q

Q: The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a…

A: We can solve the given problem by using the concept of combinations.

Q: Find the critical point of the function f(x, y) = 6 + 7x + 5x² + 3y − 8y²

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Q: π Find the absolute maximum and minimum of the function f(x,y) = (16x - 4x²) cos y on the…

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Q: Discuss the continuity of the function. f(x, y) = 1 - cos(x² + y2) x² + y² continuous everywhere…

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Q: What is the amplitude and phase shift of the equation (1)=0.3cos31+0.2sin3r? O O O A= O A= A= √13 10…

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Q: Questions 5 – 7: Find the sum of each infinite series, or state that the series diverges. e 5) 529)…

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Q: 60 For a monopolist's product, the demand equation is p = 29-4q and the average-cost function is…

A: Given that a demand function P= 29-4q and average function c= 5+60/q. We find profit maximizing…

Q: high school is organizing a dinner event for alumni. The planning committee has decided to rent a…

A: To write down the function for the amount that each attendees pay,

Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y) = 2x² + y² on the…

A: Given that , fx,y=2x2+y2 and x=0 , y=0 , y+2x=2 find the absolute maximum and minimum of the…

Q: h(x) = 2x²-x-6 x-1 (2x+3)(x-2) (x - 1)

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