Find the derivative of the function. s = t In |t| ds dt 11

Q: The bacteria in a certain culture increase according to dN/dt = 0.25N. If originally N = 200, find N…

A: Integrate the equation.

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Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

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Q: 1. An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

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Q: 4. tan(5) a. Find the exact value for: b. Solve for x: tan(2x) = √3, xe [-]

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Q: Sort St Question 2. Evaluate the following integral region). Show all your work! cos(x²) dx dy. Make…

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Q: 3. A rope hangs in the form y = 40 cosh. Find (a) the value of y when x = 25, and (b) the value of x…

A: It is given that, y=40 coshx40 We need to find the value of y when x=25 and the value of x when…

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 50°, a= 23, b = 25. If no…

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Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

A: We have to find the formula

Q: You deposit $2000 in an account with 3% annual compound interest. Complete the following, assuming…

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Q: 3. y= x²-3x-4 x+2

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Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: Q2: find the Laplace of the following functions: a- f(x) = (cosw, for 0<t< (o for,=<t<² 0

A: If ft is a periodic function with period T, then        Lft=11-e-sT∫0Tft e-sT dt So,…

Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…

A: This question can be solved using the concept of maxima and minima.

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…

A: We want to find component form of the vector.

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: 1) If y = (x-a)√2ax-x² + a² sin-¹(*), then y' = 2√/2ax - x² a a is constant. 2) If f(k)= k√a²-k² +…

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Q: Evaluate the following integral. JIS x ln y tan z dV if S = = (x, y, z) € R³ : −1 ≤ x ≤ 0, e ≤ y ≤…

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

Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Let x and y be the dimensions of the rectangular field. According to given , Area(A)= xy= 4000…

Q: Determine whether the series k=1 3\k-1 converges and if so, find its sum.

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Q: A particle moves in a straight line from the origin (at t= 0) with given initial velocity u, and…

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Q: B. Find the derivative of each of the following functions. - 3 15. f(x) = x² = ³ 2x - 1 16. x² -5x +…

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Q: II. Directions: Find the slope of the line tangent to the given curve at the indicated point 10-12.…

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Q: 3. coth 3x dx

A: To evaluate the integral.

Q: 4. Let sinx = Ź (-1)" x²n+) 2n+1 n=d ♦ a) Find a paver series for xsinx, Differentiate the power…

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Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√92¹-1…

A: Topic = Derivative

Q: 6 F 0 28inx Cask ex

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Q: If tant=−3/4 and π/2 <t< π, find sin, cost, sect, csct, cott.   Enter the exact answers.   sint=…

A: We have to find value

Q: Compute the effective rate of interest corresponding to a nominal rate of 4.8% compounded…

A: We need to use effective interest formula.

Q: (5x)" . Given the power series Σ(-1)", , find and justify its interval of 4n In(n)' n=2 onvergence…

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Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

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Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

Q: Find the present value of a continuous stream of income over 4 years when the rate of income is…

A: I have appended the formula used in the solution part of the question.

Q: In this problem we will prove one orthogonality relation used in Fourier analysis. a) Show that…

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Q: Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a…

A: Let's find a value.

Q: cos sin-cos -d0

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Q: 5.The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let's find two numbers &amp; smallest possible value of sum of their squares.

Q: Test for convergence / divergence. Find the limit if result is convergence.

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given…

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Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

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Q: Evaluate the following limit lim (3¹6) (²-√²+₂) Ꮳ X-4 -64 Show all your work. Warning: You will get…

A: Limits

Q: A. Find the derivative of each of the following functions. 1. f(x) = 5x -9 2. (x)=-6x +3 3. /(x)=x²…

A: In this question, we need to find the derivative of the given functions. Note : Please note that as…

Q: of the points where the parametric equation y = 2 cost 0≤t≤ 2π will have vertical tangent. Determine…

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Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

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