1) The hyperbolas 6² x ² - a²y² = a) xyy" + x(y²) ²³²- yy²=0 b) xyy" - x (y² 7² - y₁² = c) xyy" - x (y²)² + yy'= d) none of the above a²b².

Q: Determine whether the differential equation . (8x² − 2xy + 7) dx + (4y² − x² + 8) dy = 0 is exact.…

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Q: tody + y² = 0 dt

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Q: Use - -1-1(x Let f(x) = 9x +7 In (x+1), x>-1. Find - dx (Simplify your answer.) x=0 to find the…

A: By using ddxf-1x=1f'f-1x to find the derivative of the inverse at the indicated point. Let fx=9x+7…

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Q: If you apply the direct comparison test to assess convergence of arctan ²k, k¹.01 to which of these…

A: Given

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Q: √√2/2 11x² dx So √₁-x²² 10

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Q: (2x-1) dx 3 2x²-x²-27x +36 f

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Q: 3 + 2x² √3+2 x2 O 2x 3 - +C X + + 2x + C x3 23³3³ +0 x³ + 2x + C O dx =

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Q: - Investigate if the integral is convergent or not. Justify your answer.

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Q: x3 5x² Find the absolute maximum and absolute minimum of the function f(x) = + 4x + 2 over the…

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Q: 1. (x+y)dy +(x-y)dx=0

A: Given: (x+y)dy+(x−y)dx=0 ⇒dydx = -x+yx+y   ...(1) To prove: Given differential equation is…

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Q: The volume generated by revolving about the y-axis the area bounded = 0 and y = 16. by the curve y =…

A: Volume is evaluated.

Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Convert the angle 270° to radians. Give the exact value and use pi for .

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Q: H.W: Solve the differential equation y'-(1+x)(1+y²) = 0

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Q: 2a Please help me with my reviewer, provide the whole solution so that I can understand thank you

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Q: 1. Show that z³+y³ lim (x, y) (0,0) 1² + y² does not exist.

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Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…

Q: Find dy dx In y = e sinx O dy dx O dy dx O dy dx O dy dx = yey sin x =yey cos x = 4 1- ye cos x yey…

A: We can find the answer as below.

Q: 3 A box with a square base and open top must have a volum of 108000 cm³. We wish to find the…

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Q: Given F(x) below, find F'(x). et -1₁° 0 F(x) = (1³ + 7) dt

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Q: Which statement describes this graph? 3 15- -10- -5-

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Q: How many square units is the area enclosed by y + 2x - 5 = 0, y = 4x - x² and x² - 4y = 0 ?

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Q: S dy ² + 4y+20) ²

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Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: 4. Let v = (v1, v2, v3), w = (wi, w2, w3) be two non-zero vectors not on the same line in R Suppose…

A: answer is in next step. please give a like !!!

Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: 1 If f(x) = compute f(2) and f'(2)

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Q: Determine the critical points of f(x) = er³-2x²-7x Ox=-2 and x = 55393 O There is no critical point.…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Which of the following functions is entire? For each, justify. = 2(32) ƒ(z) = 2'

A: Given :   f(x)=2(3z)

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

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Q: 2. Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ = x + y = 0 (b) x…

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Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: Define R as the region that is bounded by the graph of the function f(x) = +1, the x-axis, x = 0,…

A: The region R bounded by the function fx=x36+1, the x-axis, x=0 and x=2.R is rotated about x-axis

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

A: We have to calculate the volume.

Q: Given the function f(x) = x³ - 2x² + 3x within the interval [0,2], at what values of x do the…

A: You must have idea about how to find maxima and minima of any function.  Right Option: Second  Wrong…

Q: let A be a bounded. Sup A non. n-empty set in R show that is a limit point of A.

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Q: r H+ sin x sin 2x dx 2 cos X

A: Solving the problem by finding the value of the integration.

Q: The volume generated by revolving the first-quadrant area bounded by the parabola y2 = 8x and the…

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Q: (2x-1) dx 1 2x²³²-x²-27x +36

A: …

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y c=-2 -3 + (-2, 3).…

A: The graph of the function is  To evaluate: a limx→c+fx, c = -2b limx→c-fx, c = -2c limx→cfx, c = -2

Q: 2. Evaluate: Lel el-1 dx

A: 2.The given integral,∫-12ex-1dx

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

Q: Let f(x) = 2x² -5x - 7. Expand and simplify: f(x +h)-f(x) h =

A: The answer is given below: