QUESTION 1 If f(x)=x and g(x)=k-x are orthogonal over [0,1]. Then k = ..... O 1 O O N/W W/A W/ W/N ~/~ 04 0 3

Q: Macmillan Learning Find the interval of convergence of (x-4)" In (3n) n=2 (Use symbolic notation and…

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Q: An object is dropped from a tower, 144 ft above the ground. The object's height above the ground t…

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1,100- dv V…

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Q: Find exactly the vector oppositely directed to v = (3) and half the length of V. i i

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i - 4j as…

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Q: x 17. f. 1+2 dx -∞1+x² 18 1 dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Solve the initial value problem. Ꮎ +y=3 sin 0, 0>0, y dy de E|N = 1

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Q: A tank initially contains 150 gal of brine in which 60 lb of salt are dissolved. A brine containing…

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Q: Find + 12 10 .12 [9f(x) = g(x)]dx if [9f(x) = g(x)]dx = i 12 [2² 10 f(x)dx = 9 and 12 10 g(x)dx = 8.

A: integration

Q: Calculate the value of triple integral f (yz)4dV, where R is bounded by the paraboloid x = 1- y²z²…

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Q: Find a function f: R → R that is continuous at exactly one point.

A: We will find the required.

Q: Consider the following series. n = 1 Find the following limit. (If the limit is infinite, enter 'co'…

A: Please see the below picture for detailed solution.

Q: f(x) = cos(√x) + 2 The slope of the tangent line to the curve y = f(x) at the point where x = 4 is A…

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Q: 5) x² √2x - x² S√zi

A: ∫x22x-x2dx since you have posted multiple question i can answer first question as per our company…

Q: Find the work required to move an object in the force field F = (1,1,2) along the straight line from…

A: Solution is given below:

Q: Find the first derivative of f(x) ƒ'(x)= = 8x + 10 19 x

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Q: Find u and v if u+2v = 2i – k and 3u - v=i+j+k. NOTE: Enter the exact answers in terms of i, j and…

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Q: Find the distance from the point (-1,1,5) to the line ä(t) = (- Question Help: Video

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Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

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Q: (b) Indicate whether the first function of each of the following pairs has a smaller, same or larger…

A: (i) n(3n+7) = 1021n2          Because  3n2 +7n = 1021n2  , here, first function and second function…

Q: Evaluate the line integral Vp dr for the following function p and oriented curve C (a) using a…

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Q: Find (x + 2)(x-7)dx (x + 2)(x − 7)dx= + C

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Q: The mass of the disk is given by m = f 2xр (x) dx, where p(x) is an integrable function representing…

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Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.f(p) is average number of daily downloads as a function of…

Q: Given that: f(x) = x¹²h(x) • h(−1) = 5 h'(−1) = 9 Calculate ƒ'(−1).

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Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

Q: 2. Mr. Wilson, Ms. Gallert, and Ms. Stenhouse have a combined total of 44 years of teaching…

A: according to guide line we do only first part of multiple questions (2)  total =44 years let s…

Q: 2 -P B + 200, where p is the price in dollars. If 104 Suppose the demand for a certain brand of a…

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Q: The rate of change in value V'(t) of a commodities index per day is given by the following equation…

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Q: Graph f(x) = 5, x = 3. ind lim f(x) and lim f(x). x→3 x→3* oes lim f(x) exist? If so, what is it? If…

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Q: a. Set up an integral for finding the Laplace transform of the following function: f(t) = = [0, t +…

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Q: (6) Solve y-9y" + 8y = 0.

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Q: Determined from First Principles and use your result to find the slope of the tangent dx at x = 2…

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Q: Evaluate (2x + y)ds, where C is the line segment from (0,2) so (3,-2), i.e., C: r(t) = (3t, 24t), 0…

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Q: АМАИ 4. In the system below, k is a constant and x and y are variables. For which value of k will…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: We have to find the vector in given question.

Q: A cylinder shaped can needs to be constructed to hold 550 cubic centimeters of soup. The material…

A: We have to find out the dimensions of the cylinder for which the cost is minimum.

Q: A cylinder is inscribed in a right circular cone of height 3 feet and radius (at the base) equal to…

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Q: Find the limit of the sequence: 01 DNE e (-1)") In n

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Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) - J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

Q: Find (s−1)′(−13) using the Inverse Function Theorem, given that s(x)=(−3x−1)/(−2x+9). Note that…

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Q: Find the absolute maximum and minimum of f(x, y) = 2x + 4y within the domain x² + y² ≤ 25. Please…

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Q: Given an acceleration vector, initial velocity (uo.Vo,wo), and initial position (Xo YoZo), find the…

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Q: Evaluate the expressions. (Simplify your answers completely. Use only positive exponents in your…

A: Algebra

Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: By considering different paths of approach, show that the function below has no limit as (x,y) →…

A: Part A:

Q: Evaluate the following integral using a change of variables. y-x SS(+2x+1)* y + 2x + 1 R 4…

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Q: Evaluate the following summations. (a) _ Σ = 4k2 + 5k – 3 n-1 k=1 (b) Σ+1 i=1 Σ=&ij

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Q: Determine the absolute extreme values of the function the interval 0≤x≤2л. f(x) = 2 cos x - Con

A: Whenever we find the extreme values ofthe function y=f(x) in the interval [a,b] then we apply the…

Q: Use the piecewise defined function below to answer the questions. 2 x 0 f(x) = √x³. 5 1/x

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