Use the Ratio Test to determine if the following series converges absolutely or diverges. 2 Σn=1 n!

Q: Let f(x,y)-In( is equal to 2. + y where a is a constant. Find the value of a, for which the…

A: Given query is to find the value of a.

Q: Find the equation of the tangent line to the curve y = 15xe at the point (0, 0). The equation of…

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Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y on the region {(x,…

A: Please see the below picture for detailed solution.

Q: (c) Consider the following matrix. [3+31 Let B = A-¹. Find b₁2 (i.e., find the entry in row 1,…

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Q: A curve is given x = 3t - 2 sint and y = t² + t cost parametrically by the equations Find the exact…

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Q: Use log differentiation to find the derivative of y=xe5x 5x³

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Q: EXCERCISE 7 1. Find the Maclaurin polynomials of orders n = 0, 1, 2, 3,and 4, and then find the nth…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: II) Consider the two vectors u = and v=. a) Find u and v. b) Find u x v, u x vand u. v.

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Q: In an arithmetic sequence, the 8th term is 17 and the 17th term is -10. Show all work for each of…

A: We know that  an=a+n-1d where a= first term, d= common difference Given that 8th term is 17 and 17th…

Q: curve y = x + 3e at the point (0, 3). y = Find the equation of the tangent line to the ₂4 0

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Q: List the one critical number of the following function. g(x) = x¹/³ — x−2/3

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Q: 4. Find the limit, if it exists or show the limit does not exist: a) Xp² lim (x,y) →(0,0) x² + y²

A: Note:- Since you asked multiple questions, as per our policy we can solve only first question for…

Q: 3 L²T³ « 1 (12x3 - 27x²y²) dy dx

A: Given integration is ∫01∫13(12x3-27x2y2)dydx

Q: The three points P(8,7,6); Q(9,6,7) and R(10,7,8) are on the same line. Select one: O True False…

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Q: A cuboid measuring 5x cm by x cm by hem. The total surface area of the brick is 720 cm² Calculate…

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Q: f(x)= f(x)= 1 √4x²-3 Let y = f(x) be the particular solution to the differential equation which the…

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Q: A manufacturer can produce 3240 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Sőt x Wo Son xx 2 It is not x - wasonz L It is multiplication! Sö 2 Wosin Tize L

A: Please see the below picture for detailed solution.

Q: The equation of the plane that passes through the points O(0, 0, 0), P(3, —2, 1) and Q(5, 1, 4) is :…

A: To find equation of plane passing through three points

Q: Find all angles, 0° 0 < 360°, that satisfy the equation below, to the nearest 10th of a degree. -2…

A: Here we find all angles    formula use  sin2(thita) + cos2(theta) = 1

Q: et y = 5x² + 2x + 3. ind the differential dy when x = 5 and dx = ind the differential dy when x = 5…

A: Given query is to find differentials.

Q: Evaluate the series or state that it diverges. k 3/4 Σ[(3) 3(3)] + 7 59 k=1

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Q: Find the area of the region enclosed between f(x) = x² – 5x + 10 and g(x) = 2x² − 3x + 2. - Area =…

A: Please see the below picture for detailed solution.

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, -1.8,…

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Q: e of f.

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Q: Use linear approximation to approximate 8.2 to 6 decimal places

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Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. A. 8x-5y2-20…

A: The graph of the bounded region is given, we have to find the system of inequalities whose graph…

Q: True or false: If f(x) = ln(x), then ƒ" (x) = - 1 x²

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Q: If f(x) dx = 6, then f(t)dt =

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Q: QUESTION 4 Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or…

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Q: Evaluate the given expression. Take A = [- 000 -1 1 4A - B 0 _2] and 8-[-1 B = 10 0 -2 -1 -3 -1 0 -1…

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Q: Use linear approximation to approximate 1.3 to 6 decimal places

A: The given expression 1.33. Using the linear approximation to find the value of 1.33.

Q: Compute each expression, given that the functions f and k are defined as follows: f(x) xm6 k(x) 2,…

A: Solution:   Given functions,   f(x) = 5x - 6   K(x) = 2   (fk)(x) = 10x - 12   (kf)(x) = 10x - 12

Q: 4. If Igl = 11, h = = 23 and g + h = 18, then determine lg - hl.

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Q: Prove that x=-1 and x=1 are vertical asymptotes, and that the x-axis is the horizontal asymptote of…

A: As given that for the function y=coth-1x has verical asymptotes at x=-1 and x=1 and has horizontal…

Q: G. Identify and sketch the following: a) 4y = x² + z² b) 3x² - 4y² + 12z² + 12 = 0 c) 16x² + 16y² −…

A: The given equation is: 16x2+16y2-9z2=0 We can simplify this equation by dividing both sides by 16:…

Q: Evaluate the triple integral. JE 3z dv, where E is bounded by the cylinder y² + z² = 9 and the…

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Q: The function f(x) = (5x+8)e5x has one critical number. Find it.

A: Given query is to find critical point.

Q: Consider the function f(x)=√x-2+3 for the domain [2, 00). Find f(x), where is the inverse of f. Also…

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Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = In (1 +…

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Q: N/m x 3/3/3 X تم تن + y = a3 Find dzy dxc

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Q: 4. Differentiate the following expressions with respect to z (a) Insinh(r+ coshr) - (b) Insinh(r –…

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Q: During each cycle, the velocity v (in meters per second) of a robotic welding device is given by v =…

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Q: Evaluate the given function by using three terms of the appropriate Taylor series. √15.7

A: Solution: The Taylor series of the function f(x) = x centered at x=a is given by:…

Q: 1 The volume of a right circular cone of radius & and height y is given by V=2²y. Suppose that the 3…

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Q: Greta wants to send her daughter to college in 7 years. Find how much money she needs to be deposit…

A: future value=$2800time=7 yearsrate=3%formula for compound continuoslyA=A0ert

Q: The component form of v is. (Simplify your answers. Type integers or decimals rounded to three…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use a double integral to find the volume of the tetrahedron bounded by the coordinate planes and z =…

A: Given that the tetrahedron is formed by the coordinate planes and z=48-12x-4y

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

A: Solving the following problem

Q: Problem #7: Find the value of Problem #7: Just Save Problem #7 Your Answer: Your Mark: (-1-√√3i)59…

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