Find and prove the limit or deteremine if the limit doesn't exist: ((-1)n)/n

Q: Evaluate the integral by any method. x dx = / e 64 - e-2x FI +C

A: Explanation of the answer is as follows

Q: Find a Cartesian equation for the curve. r = 9 cos(?)   identify the curve

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Q: For the function 1-cos.x 1-cosy + -=C, where C is a real constant, which of the following is equal…

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Q: f(x)=3x2+2x-5 g(x)=x2+7x-2 7 A BI

A: Given query is to solve the system of equations.

Q: Calculate the test-statistic, t with the following information. n₁ = 45, x1 = 2.52, s₁ = 0.57 n2 =…

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Q: Use spherical coordinates. Evaluate • SIS (x² + y²) dv, where E lies between the spheres x² + y² +…

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Q: The radius of a spherical balloon is decreasing at a rate of - in/sec. π Which of the following is…

A: given  negative sign because radius is decreasing

Q: The graph of f(x) = -4(0.45) is given below (click on graph to enlarge): Let g(x) be the reflection…

A: Given the graph of fx = -40.45x is

Q: A cable runs along the wall from C to P at a cost of $5 per meter, and straight from P to M at a…

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Q: 5- find a, b and C if w= a.tan (x²+1)_baxy + cryin (z) t-2 and Z=2t²_ze 2 x= zt², J = ze wy =…

A: z = 2t2 - 2et-2  At t = 2, z = 8 - 2 = 6 dz/dt = 4t - 2et-2  At t = 2 dz/dt = 8 - 2 = 6 x = zt2  x =…

Q: (2) Suppose you lift a laptop that weighs 3.7 pounds off the floor onto a shelf that is 2 feet high.…

A: I am attaching image so that you understand each and every step.

Q: Find the point(s) on the curve y www 10 closest to the point (0,9). The point(s) are separated by…

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Q: 1+ re N (t) is the number of people infected by the virus after t days. Solve and interpret N(0)..…

A: Topic:- algebra

Q: log₂[log. (In 3x)] = -1

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Q: Let f(x) f'(x) = = f'(5) = 4x² + 2x + 2 (round to 3 decimal places)

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Q: Evaluate the integral by any method. S= e-x 64e-2x dx = SI +C

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Q: 4. Sketch the graph of a continuous function f(x) with domain [0, 2] which is differentiable up to…

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Q: 12. Find the area of the region bounded by the graphs of f(x) = sin x and g(x): = cos x, for π/4 ≤ x…

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Q: World consumption of a certain metal is running at the rate of 355e0.02t thousand metric tons per…

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Q: e)- Assume that now X = R. Show That X. X=0 [Hint: Differentiate Constion't ev]. Deduce that I is a…

A: given: |X|=R so, X2=R2

Q: Calculate the double integral. x sec²(y) dA, = {(x, y) 10 ≤x≤ 2,0 ≤ y ≤ }

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

A: Given y2 + 4y + 3x = 0point - ( -4 , 2 )

Q: ¸[− x + xu[ +0←x xx - 1 lim

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Q: Find the slope of the tangent line to the curve below at the point (1, 7). √3x +2y + √5xy =…

A: NOTE: we can answer up to 3 subparts only. . take derivative on both sides

Q: Determine whether the two graphs are equivalent. O equivalent A B DE not equivalent C F B с D F A E

A: Two graphs are equivalent, if they have the same set of vertices and edges.

Q: g'(x) h'(x) (or the one sided limit, as required): 5. In each case, find g'(x) and h'(x), then find…

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Q: Determine all the critical numbers of f(x) = A) X=0 B) x = 1 (c) There is none (D) x=-1 3x x²-1 .…

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Q: A Norman window has the shape of a rectangle surrounded by a semicircle (thus the diameter of the…

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Q: if x ≤ 0 if 0 2 Use the definition for g to evaluate the following. Show work where appropriate. 1,…

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Q: → Limit Review! Evaluate the following limits: lim lim ln x = In x = x →0* a) d) x →∞ lim x → 2+…

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Q: Consider the parametric equations below. x = t2,    y = t3 (a) Sketch the curve by using the…

A: To solve the following problem using graphs.

Q: Use the Shell Method to calculate the volume obtained by rotating the region under the graph of…

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Q: 1. Let f(x)=√(x - 1)² with domain [a, b], where a = -1 and b = 3. (a) Is f(x) continuous on its…

A: The given function fx=x-125 with the domain -1, 3. We have to find the required values using Rolle's…

Q: Solve for the solution set of the following logarithmic equations 22. loga (2x + 1)-loga (x-1)= 1…

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Q: Use the first derivative test to find the location of all local extrema in the interval (0, 2) for…

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Q: 16796+11101001102 = 16

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Q: Assume that now | X = R. Show that x.x=0 [Hint: Differentiate constion't ev]. Deduce that I is a…

A: (e) It is given that:  X⇀=R  so, X→2=R2

Q: Differentiate the following functions using INCREMENT method of differentiation: 7. y=9a²x+8b; where…

A: 7 y=9a2x+8b8 fx=3x-810x+79 n=5am+225a2m2-10am+4

Q: Question 4 Use logarithmic differentiation to find the first derivative. Enter your answer without…

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Q: f(x,y)=√2x - 4y - x² - y² - 1 O Dom_f = {(x,y)= R^2: (x-1)^2 + (y+2)^2 ≤ 4} O Ninguna es correcta O…

A: Domain of a function f(x)=√x is x>=0

Q: (0,-6) (1,-7) ssuming that f(x) is of the form A. Bº, write an xpression for f(x): (x) = 0

A: Given query is to find indicated function.

Q: How is the 2s complement obtained? Get the 1s complement then subtract 1 from the last digit Get the…

A: how is 2s' complement obtain this is the question of computer language code is given and how to get…

Q: K A Given the function f(x) = 3+√3x, determine: f(z)-f(x) Z-X a) lim Z→X b) f'(x) a) lim Z-X…

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Q: For the following exercises, consider this scenario: For each year t, the number of trees in Forest…

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Q: 2) You deposit $100 every month in an account paying 1% annual rate compounded monthly. How much…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: ind 1x fyr for X, and y for the lamina bounded by the graphs of the equations. y = √x, y = 0, x = 3,…

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Q: If p dP > dx which of the following is equivalent to ~ +(²+²)(-+) " ( + + P ) ( = = 2 + P }) Inx+P…

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Q: Consider the initial-value problem: y'-4 = x³y +2, y(2)=2 Using Euler's method we have

A: Given y' - 4 = x3y + 2 y' = x3y + 6 standard form y' = f(x,y)            y(x0 ) = y0

Q: 2) c) Differentiate each function below. Be sure to use proper notation to distinguish between a…

A: We will find the required derivative.