If y = (1+x)8 (x + 1)7 True False then dy dr

Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

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Q: xy lim (x,y)→(0,0) x² + y²

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Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  3. y = c1x + c2/x

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Q: 1. For which values of a and b is the following system of equations inconsistent. x+2y3z = 4 3x - y…

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Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by -1/2 y=598x…

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Q: 1. Why is mathematics difficult to define?

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

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Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

Q: Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x…

A: We are allow to solve first question only .If you need rest of answer please upload it separately…

Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

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Q: Completly factorize x5 + 4x4 + 7x³ + 8x² + 4x + 2 in Q[x]. Justify that the found factors are…

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Q: Find the mass of the thin bar with the given density function. - 3x p(x) = 4 e ; for 0≤x≤2 Set up…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax + By + Cz = D.…

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 6 f(x) = 7+ - X f'(x)…

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Q: Determine the points of inflection on the graph of f(x)= 1 x²+3 -1 and 2 -1 and 1 2 and -2 None of…

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Q: Problem 8. A function and its first and second derivative are given 2(2x + 11) f(x) = x² - 4 (x +…

A: As per guidelines, I can answer maximum three sub parts of a question. Here are four sub parts, so I…

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: We have to check series is convergence or divergence by ratio test

Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  8. y = c1e^x + c2xe^x +…

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Q: 2) 2) A water trough has a semicircular cross section with a radius of 0.5 m and a length of 4 m…

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Q: Integrate: f'(x) = 4x¯½. A. 2√x + C B. 8√x + C C. √x + C D. -√4x + C 2

A: Integrate: f′(x) = 4x-1/2

Q: Which of the following relations is not a function? a.{(3,3),(2,3),(0,4),(1,4)} b.…

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Q: kop (e + bx) = (xph + hp x )ch (s

A: We  have to find the general solution of the given differential equation.

Q: Which of the following is a relative maximum of f? 1/5 5/6 A. (²2) ¹ c. - (²²) ³ √3 B. 0 D. 2 Which…

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Q: Let f(x) = x-10 2 x - 10x Find the indicated quantities, if they exist. (A) lim f(x) x-0 (B) lim…

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Q: 2. A swimmer wishes to swim directly across a river that has a current of 2.5 m/s. He can swim 3.5…

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Q: Use the formula for the binomial series: (1 + x) = 1 + mx + 1 + 2 =1 100 = o obtain the Maclaurin…

A: See the details solution in below

Q: For the function f(x) = 3x − 5 ln x determine a) Domain of f, b) Critical points of f, c) Intervals…

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Q: Problem 7. Find each of below for the function x+5, f(x)=3, 23 1, 2< (a) f(1.9). (b) lim f(x). (c)…

A: Solve the following

Q: is f'(x) given the integral function f(x) = cos(u) sin(u) du?

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Q: For this process we'll use the function f(x) = -x² + 6x - 7. You might find the following links…

A: Hope I answered as you required

Q: Evaluate 3 J (nay) dv 11. Gr kabriod if G. is the solid bounded by the parabolic cylinder 2=7³3 J my…

A: We need to find volume.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (−1)k+1 9k…

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Q: B. find polar form of the complex number z = (2√3-4i) + (-√3+5i).

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Q: (13) Value of fr -dx is... xz d 2

A: ∫511 dx/x2  here simple integration is given  ∫511 x-2dx [-1/x]511 -1/11 + 1/5 (-5+11)/55 6/55

Q: Determine whether or not the following functions are continuous at (0,0). -1 for (x, y) = (0,0) a)…

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Q: Use the definition of derivative to find = f'(x). f(x) = for 1 3x

A: Given f(x)=13xf'(x)=limh→0f(x+h)-f(x)h=limh→0(13(x+h))-13xh=limh→013x+3h-13xh

Q: Given f(x, y) = 6x6 – 6x²y³ – 5y³, find fz(x, y) = fy(x, y) = fiz(x, y) = fry (x, y) =

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Q: Find the minimum value of the following function: f(x,y,z) = x² + 2y² + z² - 2xy - 2y + 5  using…

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Q: Find the angle (where 0° ≤0 ≤ 180°) between the following vectors. 0 u 9, 15 >, degrees 0 ||

A: here we have to find angle between two vector  use formula  cosθ = u*v/[u][v] [u] = 92 +(-15)2 [u] =…

Q: mswer below: f(x) = f(x) = (x) = -2 68 5 4 3 2 10 1 0 1 -2 -3 -4 -5 6 -7 2 -00 4 6

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Q: 20 18- 16 14- 12 10 8 b 4 2 1 2 Estimate the instantaneous rate of change at x = = 1

A: To find the instantaneous rate of change.

Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1

Q: Find a vector equation of a line passing through the point (-1, -2, 4) and perpendicular to both a =…

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Q: (a.) f(x) = x³on [0,1] (b.) f(x)=sin sin x on [0, -1]

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Q: Using Newton Raphson's method find the root of the non-linear equation e=lnx-1 with three…

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Q: attached

A: We will solve the problem.

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: The total sales of a company (in millions of dollars) t months from now are given by the following…

A: Explanation of the answer is as follows