Q: Find the limit of an= cos^n(5/sqrt(n)) = [cos(5/sqrt(n))]^n

A: The limit of the given sequence is 1 as n approaches infinityExplanation:To find the limit of the…

Q: Let S denote the region bounded by y = 4x −x^2 and the x-axis. Draw the region S, and find the volume…

A: The region bounded by the curve  and the x axis

Q: I already solved A. Looking for help with B-D please

A: The objective of the question is to determine the convergence or divergence of a series using the…

Q: 2. Find the solution of Yn+2 = -4Yn with yo = 1, y1 = 4. Write the answer without using imaginary…

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: For the above quartic polynomial f(x)=22-22³-15.752², identify the interval on which f is concave…

A: given

Q: let à = (3,4,5) and To (5,2, 6) a Find (2-6) x (a+b)

A: We need to find out the cross product.

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

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Q: Consider the same system as given in the previous problem: S 6x² + 4yv4 = 10 3xy(²-²) = 0 It is…

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Q: Differentiate R(t) = (4t + e¹)(4 − √t). Answer: R' (t): =

A: We use the product rule of differentiation to find the R'(t)

Q: If f(x) dx = 5x³ – 7x6 + C, find f(x). f(x) =

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Q: this Find the derivative of the following function. y=7x 3 Textbook + 10x y - 3455x 1 2 6- X+ E T

A: y′=2−21​x2−5​−5x2−3​+11x10Explanation:Approach to solving the question:  Detailed explanation:

Q: f(x) = 1-x², ax + b, ((x-1)³ + 2, x ≤ 0 0 1

A: f(x)={1−x2,x≤0ax+b,0<x≤1(x−1)3+2,x>1

Q: Eliminate the parameter & to fcys for - form x= [2(t) = 51² | gets = 2 + 2t find a Cartesian…

A: To eliminate the parameter t to find a Cartesian equation in the form  for the parametric equations.

Q: Find the centroid of the region bounded by the graphs of the functions 1 7 y = 5 sin(x), y=x, and a…

A:

Q: Find the gradient vector field of f =1/2(x^2-y^2) and sketch it.

A: The objective of this question is to find the gradient vector field of the given function f = 1/2 *…

Q: Evaluate the following integral using integration by parts. 1 In 7x dx In 7x dx = (Type an exact…

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Q: Problem #1: In a murder investigation, the temperature of the corpse was 34°C at 1:30pm and 20°C 5…

A: we need to find out the time it took for the murder to take place before 1:30 pm.

Q: If w = x + y²z, then the differential, dw is 0 1 + 2y 2ydxdydz dx + 2yzdy + y² dz 01+ 2yz + y² O dx…

A:

Q: For the sequence defined by: a1 = 4 An+1 = Find: a2 = a3 = a4= 1 an - 4

A: For the sequence defined by To find .

Q: Determine the logarithmic regression of the data below using either a calculator or spreadsheet…

A: y value is 6925.9(rounded to the nearest tenth).Explanation:Step 1:Enter the data points into two…

Q: Problem #1: The Doyle Log Rule is one of several methods used to estimate the lumber yield of a log…

A: The given function is where d is diameter and length is L.Here, L=12 and d=22

Q: (5.) Let u(x, y) = ln(x² + y²) (a. (c. State the domain of u: Determine lim f(x, y) (x,y) →(1,0)…

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Q: a projectile is shot upward from the top of a 220-foot building with an initial relocity of 22-feet…

A: Height of building =220 footInitial velocity = -22 feet/sec

Q: Please solve

A: The objective of this question is to determine the relationship between two lines given by their…

Q: Fill in the equation for this function. -21 -3π/2 -TI F -TT/2 n 2 -3 (1 TT/2 TU f(x) = [ ? ]sin(-×-)…

A: To find the equation of the following graph.

Q: The rate of change in data entry speed of the average student is ds/dx = 2(x + 4)-1/2, where x is…

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Q: Please help evaluate

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Q: Graph. f(x)= 3, for xs-2 |x²₁ for x>-2 Choose the correct graph. O A. A Q C OB. Q Q OC. N Q Q ✔ O D.…

A: To graph the following function.

Q: Evaluate the integral. (Remember the constant of integration. sf. 5 √1 - sin(x) dx X – 10 (cos ( 1 )…

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Q: Use the graph of H shown to the right to find the limit. If necessary, state that the limit does not…

A:

Q: 1) Use the second derivative test to classify any critical points and determine whether each…

A: f(x,y)=4x2+9y2+8x−36y+24Using the power ruleddxxn=nxn−1

Q: Consider the following. f(x, y) = 3x² - y (a) Find the gradient of the function at P(2, 10). Vf(2,…

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Q: 2. Use the Second Fundamental Theorem of Calculus to evaluate each of the following definite…

A: The objective of this question is to evaluate the definite integral of the function x ln(x) using…

Q: From 2011 to 2020, the median weekly usual earnings in natural resource, construction, and…

A: The objective of the question is to find the derivative of the function E(x) at x = 14, which…

Q: solve very very fast in 15 min | I need a clear answer by hand, not by keyboard

A: The objective of this question is to find the area under one arch of the curve y = sin(x/2). This…

Q: The cube root of 125 is 5. How much larger is the cube root of 126.2? Estimate using the Linear…

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Q: Find the derivative of the position vector r(t) = -eti +(t – t²)j +In(t)k Find the tangent vector at…

A: Given: To Find: (i) To find the derivative of the position vector.(ii) To find the tangent vector at…

Q: Evaluate the following integral using integration by parts. In x 19 X dx Use the integration by…

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Q: Evaluate the following integral ff y dA. Where R is region bounded by three lines: y = 1, y = 2 x…

A: Given that the region is bounded by the lines

Q: Evaluate Se²x 2x Se²x 2x cos (5x) dx. cos (5x) dx = e2x. (5 sin (5x) + 2 cos (5x)) 19 + C

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Q: Verify the identity. (tan(x) + cot(x))² = sec²(x) + csc²(x) Expand the product, and use the…

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Q: Find the surface is obtained by rotation when x = 3t² and y = Refer: Finding the surface area…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 19. Functions that have an indeterminate form when evaluating a limit can always be simplified by…

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Q: Evaluate the following integral using trigonometric substitution. 2 x - 36 X 2 x - 36 -dx, x>6 -dx =…

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Q: (a) Find the approximations T10 and M10 for + T10 = M10 = 27 e¹/x, |ET| ≤ IEMI ≤ dx. (Round your…

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Q: Can you please show how to solve for x and y in step 4.

A: We have to solve for x and y value given in step 4.

Q: Find a function f such that Vf = 2e²x cos(5y)i - 5e²* sin(5y)j + z5k. f(x, y, z) =

A: The given gradient function

Q: Consider approximations to the gradient of the curve y = e* at the point where x = (a) What is the…

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Q: Find dy dx dy dx ||| at (-6, 1) if xy = X 18/ x + 3 a (Round your answer to four decimal places.)

A: To find dy/dx at (-6,1) of

Q: If f(x, y) = xy² + arctan(cosx), then fyy is

A: