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Q: g(x) = In tanh-1 x

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Q: Gandalf the wizard was walking down the street when a violent wind blew off his hatl His hat is the ...

A: Solution..

Q: Graph of y=f(x) 0. 2 4. A.

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Q: 1. A honeybee population starts with 100 bees and increases at a rate of f'(t) bees per week. What d...

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Q: = sinh" (tan 3x

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Q: Find u x (vxv) for the given vectors. u = 2i - j +3 k, v= - 4 i +3 j +2 k ..... Select the correct c...

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Q: At what value of x does the function f(x) = x^3 - 3x^2 - 9x change from increasing to decreasing

A: Increasing decreasing function problem

Q: 3. (a) Explain why the following equation is incorrect: 15 8. (b) How should the integral from part ...

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Q: P, = (1,2,0), P2 = (- 2,5,5), P3 = (- 2, – 2,4) The area of the parallelogram is (Type an exact answ...

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Q: a) Find the inverse Laplace transforms for the functions. 3s –1 L(v) = s' +6s +5 b) Find the particu...

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Q: Find all the critical numbers for the function f(x) = (x-1)/(x+1)

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Q: We want to determine if the n sequence is monotonic. 2+n Using the difference test we get that sn+1 ...

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Q: Two spheres are centered at the same point. The radius of the bigger sphere is R(t) = 1+5t while tha...

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Q: 2. For a substance C, the time rate of comversion is proportional to the square of the amount x of u...

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Q: ex (플 +c) %3D

A: We are asked to graph the function.

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,...

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Q: Q2 Obtain the general solution for the following differential equation using: (i) Method of Undeterm...

A: The given differential equation is: y''-5y'+4y=e3x

Q: y=xhx find y' .

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Q: 4. A cylindrical tank with a given volume V (V is a constant) is to be made without a lid. The mater...

A: Given:  A cylindrical tank with a given volume V V is a constant is to be made without a lid. The ma...

Q: Evaluate the integral. x²(4x + 3) 22) Vx4 +x3 +7 xp

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Q: In exercises 37 and 38, assume that f(r) dx = 3 and = -2 and find 3 37. (а). [S(x) + g(x)] dx | 12f(...

A: Given that: ∫13f(x)dx=3 and ∫13g(x)dx=-2

Q: If 100g now will be 98g hundred years later, find the time it takes for 2/3 amount.* 3431 years 2000...

A: Explanation of the answer is as follows

Q: Find (3u)xv for the given vectors. u = 2i - 3j + k, v= - 2i + 2j + 3k ..... Select the correct choic...

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Q: 3. Explain the difference between continuity and differentiability.

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Q: Obtain the general solution. (D^2 + 9)y = 5e^x-162x^2

A: General solution of differential equation

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

A: Find the limit of the sequence

Q: ·Evaluate each of the following iterated integrais. R/2 (siny 1. dxdy

A: We can find the double integration as below.

Q: Find a Power Series Representation for 3-x2 Show all of your woi

A: We have to find the power series

Q: Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum.

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Q: The graph below shows the number of pedestrians having breathing problems due to pollution caused by...

A: Correct statement is :-

Q: 4. Simplify completely Int dt using FTC-1. retz e3z

A: The solution of the problem is given in the next step.

Q: The rate growth of a population is proportional to the present population. If it is 1000 initially a...

A: This question is related to the population growth, We will solve it using integration.

Q: Find the value of what comes log,(x-1)-2 log.(x-1) +loga(x-1)/(x+1)

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Q: Obtain the general solution. (D^2- 2D + 2)y = 0

A: Using solution of Linear Differential Equations with constant coefficients.

Q: At 2:00 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 P...

A: According to question,At 2:00 PM,Initial Temperature of thermometer = 80oF,Air Temperature = 20oF,At...

Q: Suppose that antibiotics are injected into a patient to treat a sinus infec- tion. The antibiotics c...

A: NOTE: As per our guidelines, we can answer only one question in a single request. Kindly re-post the...

Q: How many points of inflection does the function f(x) = x^8 - x^2 have?

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Q: 7 yて言×-2

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Q: 2. Consider two functions f and g on [0, 7] such that | f(2) dx = 9, g(x) dx = 6, %3D | f(x) dr = 4,...

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Q: 4 y = y = 4 and x = 0 2-x

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Q: Find the Maclaurin Series of f (x) = e>*. Show all of your work. Write your solution in summation no...

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Q: For a certain curve, the point of contact of each tangent to it bisects the part of the tangent term...

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Q: Express the limit as a definite integral on the given interval. lim n → ∞  n   3xi* + (xi*)2 Δx, [...

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Q: (a) lim- エ→4 Vř -16 (b) lim- (1–x)² エー

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Q: Let C be the curve parameterized by r(t) = (x(t), y(t)), for a <t < b, with starting point P and end...

A: GIVEN: r(t) = {x(t), y(t) }

Q: Find the radius of convergence and the interval of convergence for (-1)"x" En=1 Show all of your wor...

A: Explanation of the answer is as follows

Q: 5. A trough with trapezoidal cross-section is to be made from a 1,000 cm by 40 cm rectangular sheet ...

A: A trough with trapezoidal cross-section is to be made from a 1,000 cm by 40 cm rectangular sheet of ...

Q: 4. csc x dy= cot?y dx when X= T, y- %3D

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Q: 2x (1) lim x→0 3– vx+ 9 -

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Q: 1+3i We can view complex numbers as vectors in the complex plane, where real values are measured hor...

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