Question: Find the derivative. 1+ vi

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Q: Answer in complete solution in this Differential Equations: (D6 – 13D4 + 4D3 + 48D2 16D - 48)y = 0

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Q: solve 33,37&41

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Q: Use sigma notation to write the Taylor series about x = xo for the function. In x; xo 1 EO (-1)*+1 (...

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Q: Determine whether the series converges. k2 +2 2 +7 k=1 O The series diverges. O The series converges...

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Q: Write the first five terms of the sequence: {Vn² +n – n}n=I +o0 Determine whether the sequence conve...

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Q: Determine the behavior of the functions defined below. Note that it is common to write f(x) → " to i...

A: The given function,    fx=9x2+5x-6

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Q: ting factor for the given differential equation is

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Q: p. Based on your table in part (a), complete the following statements. i. As x → – x, f(x) → - Previ...

A: b) i) As x tends to -infinity , f(x) tends to 0 .  as 1/-infinity =0

Q: Given Cost and Revenue functions C(q) = q° - 8q +56q + 5000 and R(q) = - 3q +2400q, what quantity mi...

A: Please see the below picture for detailed solution. 

Q: (y? + xy*)dx + (5y² – xy+ y* sin y) dy = 0 - Let M = y? + xy³ and N = 5y² – xy + y³ sin y ƏM 9. =?

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Q: Find all the second partial derivatives. f(x, y) = xªy – 2x³y² fxx(x, y) = fxy(x, y) = fyx(x, y) = f...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Given Cost and Revenue functions C(q) = q° - 10q +53q + 5000 and R(q) = - 3q + 2500q, what quantity ...

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Q: 3) The volume under z = xy and over [0, 1] X [0,1]. 2 decimal places

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Q: nl n-1 lim O converges O diverges

A: Given query is to find series converges or diverges.

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Q: 4. At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O2. If y(t) is the concentrat...

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Q: 7. Graph f (r) on the same coordinate axes, labeling the points corresponding to those you labeled o...

A: Given that fx=4-x-2 Solution : we have to find f-1x then interchange x to y and we get f-1 xor mirro...

Q: 21. The complementary solution, y., of the equation y" + 2y" + y = 10 is %3D (a) y. = Ce- + cze- + C...

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Q: 1 we, ON =? - м ду dx 3 (a) 3 (b) (c) 3y (d) —Зу - --

A: Topic = Derivative

Q: emine whether the series is convegent or divergent. If it an=lo00,evaluate lim Can) Cos M8

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Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx | (a) x2 –...

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Q: . A hemisphere with radius 5 cm was cut by a plane, parallel to the base, which passes through its c...

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Q: 00 9. n(n + 9) n = 1 O converges O diverges Identify which test you used. (There is more than one co...

A: Given query is to find the series converges or diverges.

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Q: 2 cot- (ecsc) if – 3 3. - a. Determine if f is continuous or discontinuous at x= continuous, classif...

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Q: Suppose the function g is defined as g(x) = Fill in the following blanks. f(x) (Note: if g(x) increa...

A: The g(x) function is defined as g(x)=-5f(x) ........................................... (1) and the ...

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 + 1 n =...

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Q: Solve each of the following equations for x by first writing the equation so that the left-hand side...

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Q: 00 (-1p+1 Imestigate for convergence or divergence. e) Diverges by IntegalTest (b) Converges by Alte...

A: solution:-∑n=1∞-1n+1nan=1nan+1=1n+1Applying Alternating series testan>0an>an+1limn→∞an=limn→∞1...

Q: Determine the derivative of f(x) = ( In x )6 with respect to x. f'(x) =

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Q: Consider the function on the interval (0, 2x). f(x) = sin(x) cos(x) + 7 (a) Find the open interval(s...

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Q: Question dy Using implicit differentiation, find dx Vxy = -4 + xy

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Q: 5. Evaluate J2xdx, a, x' +c b. x+c C. 2x+c

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Q: Suppose f(a) 3D (х — 3)(ӕ + 7). a. Solve (x – 3)(x + 7) O for x. Preview b. What are the roots of f?...

A: Explained below 

Q: Question d²y Find if -9x – 3y = 8. %3D dx2

A: Detail solution is given below

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in...

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