Use Alternating Series Test

Q: 2. Solve the equation 2 + 34-5x = 10 in terms of logarithms and then use a calculator to find…

A: We will use logarithms to solve this question.

Q: Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

A: Find your answer below

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: y = xe?u y = y' = e3z+2y

A: 1)y'=xe2y 2)y'=x2/y 3)y'=e3x+2y Repost the next parts.

Q: 10. For the function f (x) = -2· e* + 6, find the domain, range, and equation of the asymptote.

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Q: Given that lim f(x) = 0 X→a lim g(x) = 0 lim h(x) = 1 lim p(x) = 00 Xa lim q(x) = ∞, Xa evaluate if…

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Q: Jxcs. fxcos xdx 14 fxcos.xdx 16 2 18 |xcos xdx

A: On solving this we will get:-

Q: Use l'Hôpital's Rule to find the limit. x11X lim x→0 11* – 1

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Q: 97 97 Suppose that ai = -4 and b; = 14. Compute the sum. i=1 i=1 97 2(- la; + 4b;) Question Help:…

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Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A: The solution is given below

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Given the following information of a triangle, match the missing side or angle with its value. a =…

A: Given the following information of a triangle, match the missing side or angle with its value.a=41…

Q: cos

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

A: Here we are asked to use the definition of right end points and get the limit.

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

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Q: The volume of a right circular cylinder of radius X and height y is given by V= TtX¯y, Suppose that…

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Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: Sketch the graph of a function that is continuous on (– 0,00) and satisfies the following sets of…

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Q: What is the exact value of sin(67.5°)cos(22.5°)?

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Q: 4. csc(t) = 5 with t in quadrant 2. Find the following: (a) sin (t) (b) sec (t)

A: First we find out sin(t) then we find out cos(t) then sec(t) using the formula sec(t)=1/cos(t) and…

Q: Assume that lines which appear to be diameters are actual diameters. 66° H Find the measure of GHF

A: Clearly FH is the diameter of the circle

Q: Find the area under the graph of the function over the interval given. y=x; [1, 5] 2. The area under…

A: Explanation of the answer is as follows

Q: 27t3 dt

A: Given query is to find the integral.

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Given series is alternating is convergent

Q: 1 Use the transformation u = 4x+y, v=x+2y to evaluate the given integral for the region R bounded by…

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Q: 2.2 7. Using the table of values for the function g shown below to estimate f, g(x)dx using L3, R3…

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Q: 6. Simplify each of the following using the properties of logarithms: (a) In ) (b) log2(Vt5)

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Q: y = log, Vx? +1

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Q: Let F(x) = f(f(xæ)) and G(x) = (F(x))² . You also know that f(9) = 3, f(3) = 2, f'(3) = 5, f'(9) =…

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) (x) =…

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Q: Consider the following. u = -6i - 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. 0, - 3,…

A: As we know that; The expression for the the vector projection u onto v is: projvu=u·vv2v And The…

Q: gies each of base (the miapoint rule), estimate the area 4 f(x) = between x= and x = 1

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Q: Consider the solid bounded below by the xy-plane, on the sides by the sphere p= 3, and above by the…

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Q: 4. In geometric series, the first term is 20 and the fourth term is Find the sum, S of the first n…

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Q: Exercise: Show that the following differential equations are homogenous and solve. 1. (x+y³)dx+xy…

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Q: f(x) -? The graph of a function f and its tangent line at 0 are shown. What is the value of lim x→0…

A: Given query is to find the limit of the expression.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: 3. Determine if the given function is continuous on the given point and intervals 1 x<0 f(x) = Osx<5…

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Q: ا وا ور باه واه С. x e

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Q: The given masses m¡ are located at the given points Pi which are placed in the xry-plane. Find the…

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Q: A fence must be built to enclose a rectangular area of 20,000 ft2. Fencing material costs $3 per…

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Q: Find the gradient of the function at the given point. w - x tan(y + z), (8, 5, –2) Vw(8, 5, –2) =

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Q: f (x,y) = x^2y - 2x^2 -4y^2 +66. Find all critical points of f. For each critical point, determine…

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Q: (-() Write the linear system in matrix form. Assume X = dx = x - y + z + t – 1 dt dy dt = 2x + y – z…

A: Given

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Consider the function f that is continuous on the interval [-8, 8] and for which the following is…

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Q: 10. Evaluate the following integrals (a) L x²+1 (b) J 군TT 1 x2 –6x+13' d.x

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Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: Given that a farmer wants to fence an area of 37.5 million square feet in a rectangular field and…

Q: 6. Find the area bounded by:

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