P e. n=1 (2n)! n!n! n! (2n + 1)!

Q: A plane contains a line ♬ = [0,−5, 2] + s[1, 1, −2] and a point P(2,-3,0). Determine the scalar…

A: The equation of the plane containing the point and having a normal vector  is0f

Q: Find the local maximum and minimum values of the function f(x) = -x Test. Enter the points in…

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Q: 11. Find the area of the intersection of the circles r = 2 sin 0 and r = 2 cos 0.

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Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: A parallelogram is formed by the vectors = [3,0,-1] and A) 2-√√35 B) 12 sq.un. C) 5/10 sq.un. D)…

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Q: A mineral deposit along a strip of length 8 cm has density s(x) = 0.06x(8 - x) g/cm for 0≤x≤8.…

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Q: An object with mass 72 kg is given an initial downward velocity -4 in a medium that exerts a…

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Q: Find the radius and interval of convergence for the following series: (x − 1)” n³3n a. n=1 Radius=…

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Q: Show that x²y³ lim (x,y) →(0,0) 2x4 + y6 does not exist.

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Q: Suppose vector i =[-3,4,-6) and originates at point A at (1,5,-3) and terminates at point 8 at…

A: Using vector algebra, we can solve the question.I am authoring part d and e as asked.

Q: Suppose that f(x, y) = y√√√x³ + 1 on the domain D = {(x, y) |0 ≤y ≤x≤1}. D + Then the double…

A: We have to evaluate the double integral.

Q: If cos x== 56 sin(2x) = cos(2x) = tan(2x) = where x in quadrant I, then find the exact value of each…

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Q: If 3 ["* f(2)dx = [*, f(2)dx + ſ,” f(x)dx - [*ª* f(x)dx, -7 2 -7 what are the bounds of integration…

A: If , then to find the bounds of integration for the first integral.

Q: Use the given transformation to evaluate the given integral, where R is the region bounded by the…

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Q: Evaluate the line integral SCF F. dr, where C is given by the vector function r(t) F(x, y, z) =…

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Q: y=2x-x² and y+3=0

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Q: Find the Maclaurin Series for the following function: sin (3x) = = g(x) = sin(3x)

A: The given function

Q: In the vertex form for the equation for a conic, when B=0, there will be no rotation of the conic…

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Q: The digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 are to be filled into the boxes below and each digit can be…

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft/min, and its coarseness is such that…

A: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that…

Q: DEMAND FOR HYBRID CARS A car dealer determines that if gasoline-electric hybrid automobiles are sold…

A: Selling price of car: x dollars apiece, where Cost of gasoline: y cents per gallonFunction to…

Q: Determine if the following series are convergent or divergent. Identify which test you used to make…

A: As you posted multiple subparts I need to solve only first three sub parts.

Q: Use Stokes' Theorem to evaluate F dr where C is oriented counterclockwise as viewed from above- Jc…

A: The solution is shown in step-2

Q: Suppose that the proportion P of voters who recognize a candidate's name t months after the start of…

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Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

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Q: Show that 3 x² y ³ lim (x,y) →→(0,0) 2x4+y6 does not exist.

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Q: Find the exact value of sin sin (4) = (4)

A: To find the exact value of .

Q: 5n 3n + 1 (a) Determine whether {a} is convergent. Let a, = convergent O divergent (b) Determine…

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: 2-√√√1-x Evaluate: lim x+3 OA) 2/1/20 O B) // E-+-% ○ C) 1 O D) undefined

A: The given limit is

Q: Two equal forces act on an object at 80° to one another. The resultant force has a magnitude of 200…

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Q: 2. (y² +2) d = 5y, given y dy = dx 1 when x = HIN 2

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Q: standard equation for a conic section Ax² + Bxy + Cy2 + Dx+ Ey+ F= 0, if B²-4AC = 0, the conic…

A: Here we have choose the correct answer related to the conic section

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3 - 0.01x + 0.000006x² (in…

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Q: Write the equation x2 + y² +6x+8y+ 24 = 0 in vertex form.

A: given equation is

Q: Identify the open intervals on which the graph of the function is concave upward or concave…

A: The given graph is

Q: Question 3 a) b) Given the iterated triple integral 1 = 0-√√x²+16 √√x² + y² Write the region of…

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Q: Find the volume of the solid fromed by rotating the region enclosed by x=0, y=0, ×=1, y=5+x^2 about…

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Q: Convert the Cartesian equation (x² + y² +a²)² - 4a²x² - a² = 0, where a > 0, to polar coordinates.

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Q: Apply the theorem of integration of transforms to find the Laplace transform of f(t). sin 3t t Click…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = √√₁²₁1 + 1² dt 1…

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Q: A ball of radius 14 has a round hole of radius 4drilled through its center. Find the volume of the…

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Q: Consider the following piecewise function: f(x) = XCOSE x<0 0≤x<4 a. Use the first principles…

A: Since you are asking question with multiple subparts, we are answering only the first three subparts…

Q: Find the area of the region that lies inside the first curve and outside the second curv r = 14…

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Q: 5. The number of hours of daylight in Delhi India, varies sinusoidally during the year, as described…

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Q: Answer: Find the length of the arc formed by x² = 2y³ from point A to point B, where A= (0, 0) and B…

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Q: The region D above lies between the graphs of 1 y = −3 − (x + 4)² and y = −7+ (x +6)³. It can be…

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Q: Evaluate the surface integral. [[(x + y + 2)c (x + y+z) ds, S is the parallelogram with parametric…

A: The solution is shown in step-2

Q: If an IRA is a variable-rate investment for 20 years at rate r percent per year, compounded monthly,…

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