y-1 3. Solve the initial value problem of=4 y(-1) = 0 dx

Q: 2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the…

A: Topic:- exponential function  Note:- as per our guideline if more than three subparts posted than…

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Q: demand for a certain type of cosmetic is given by p= 540 - x, where p is the price in dollars when x…

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Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

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Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: ds Find dt 1+ tan t S= 1- tant

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Q: Σ Preview i=1

A: We will use sigma notation.

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A: Compound interest

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Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: To find the limit.

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Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. f the limit…

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

Q: In n Consider the series Verify that the hypotheses of the Integral Test hold, and n2 n=1 use the…

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Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: topic - Area bounded by curves

Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a cos 20 and 5t, where a is…

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Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

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Q: Find the third Taylor polynomial for f(x) = sin(2x), expanded about c = n/6. %3D

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Q: 18. Find [ 2x°(2x* -1) dx

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (9e' cos…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: 7. Find the exact x-value where the function f (x) = x +In (7„² – 1) attains a maximum value. An…

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = ( - t+ 4)i +…

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Q: Identify the End Behaviors for the function graphed to the right 5+ Right hand end behavior: 3 As x…

A: Given query is to find the end behaviour of the function.

Q: 7. Find the volume of the solid obtained by rotating the region bounded by and r = 0 about the…

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Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: Use algebra and the properties of limits as needed to find the given limit If the limit does not…

A: We need to evaluate limit.

Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: dy Find dx y = = 5x° sin x coS X

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Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

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Q: 7. Let f(x) - -ar + 9x -3. a. Determine thex-values where f"(x) = 0. b. Fill in the table below to…

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Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

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A: answer is in next step

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: A detailed solution is given below.

Q: Problem 6 Use the rules of differentiation to to find the derivatives of the functions: (a) f(r) =…

A: topic- differentiation

Q: near First – Order Differential Equation (Integrating Factor) 1 dy x dx 2y 5. Find the general…

A: Topic:- differential equations

Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

A: If {an} is an increasing sequence or {an} is a decreasing sequence we call it monotonic If a…

Q: Write a in the form a = a-T+a,N at the given value of t without finding Tand N. r(t) = (3e'cos t)i+…

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Q: The limit lim (x In( cos x-00 is an indeterminate form of type 0 0o. Select one: True False

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Q: Find

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Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 5 sint and 0 = 5t = (Du, + ()…

A: Recall:The velocity is given by      v =r' ur +(rθ') uθandThe accerleration is given by     a…

Q: 2 2(3)' Find: i=1

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Q: (x)soɔ xp (x)us 19. Find

A: Given problem:-

Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…