00 Find the sum of the series: Σ (-1)"gn 13 n! 72 0

Q: Find the second-degree Taylor polynomial for f(x) = √x centered at a = 100. Also obtain a bound for…

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Q: Solution to question 2 please

A: Question 3To find constants a and b, we want a local minimum at x = ln(x) such that f(ln(x)) = 1. We…

Q: г 4. Find the vector equation of the line that a) passes through the point A(3,-2,0) and is parallel…

A: Step 1: Step 2: Step 3: Step 4:

Q: Solution to question 4 please

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Q: Find the area of the surface generated by revolving the curve y = √√/85-x, 36≤ x ≤ 49, about the…

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Q: 5-10 Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the…

A: Step 1: calculation limit of or intersection point between these 2 curve  Step 2: limit set up and…

Q: Find the intervals where f(x) = x²e¯x is increasing and where it is decreasing. (Select all that…

A: Graph of f(x):Inflection point:Graph of f(x):

Q: Solution to question 3 please

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Q: 1) Find the exact value. (a) Sin (tan¹(-)) (b) tan (cos-¹(-))

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Q: x = e^2t - 2t, y = 4e^t  ,  t= ln2 (c) Find the times t where the tangent line is vertical. If the…

A: (c) To find where the tangent line is vertical, we need to find where the derivative of x concerning…

Q: Please do the following questions with full handwritten working out.

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Q: Use the substitution u = √(x) to calculate the indefinite integral from image.

A: Given:∫x​+x​3dx​First, we need to simplify the denominator, we have:=∫x​+(x​)2x​1​dx=∫x​+xx​1​dxWe…

Q: Find the area of the region. interior of r = 7 + sin(e)

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Q: 7) Two residential buildings are to be constructed with a grassy recreational area between them. The…

A: The solution has been attached below:

Q: Exercise 2.6 Find derivatives of the following functions: i. y = ln(x²+2x+3) iii. f (t) = 1 e2t ==…

A: Step 1: For y=ln(x2+2x+3): Identify the function: y=ln(u), where u=x2+2x+3. Apply the chain rule:…

Q: TRY !!! (HOMEWORK) 1/4 YP S (23/3 + 1/√4x³ - 11/11 + 4 × 5) dx уз 3√x

A: Step 1: Step 2: Step 3: Step 4:

Q: if f(x) = 15 - g(x) for [-2,2], then what is the integral of (f(x)-g(x))

A: To find the integral of f(x)−g(x) over the interval [−2,2], we first need to express f(x)−g(x).…

Q: 5. Determine the end behavior of the given functions. lim f(x)= lim f(x)= 2-90

A: We can see clearly   from the graph       as   x is approaches   to  toward   2 from RHS     the…

Q: Let there exist an antiderivative F such that F(x) = √ e³t dt. Find the value of x such that F(x) =…

A: In the given, we can find the antiderivative of the function using the fundamental theorem of…

Q: 2*1 1/3

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Q: step by step calculations please

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Q: Is this correct?

A: Find the area under the curve y=6x²+4x-2 from x=1 to x=2, means:Now:Therefore:∴required area is:A=18…

Q: Find an equation of the plane through the three points given: P = (4,0,0), Q = (6, -1, 1), R = (7,4,…

A: Step 1:Step 2:Step 3:

Q: Hello, how do I simplify factorials? For example: n!/(n+100)!

A: We can simplify the factorial by expanding the  and canceling the common terms:  lets simplify the…

Q: Test the series below for convergence using the Ratio Test. n= n72n 5n-1 The limit of the ratio test…

A: Given the series,n=1∑∞​5n−1n72n​ Using ratio test to test for convergence of the series, we…

Q: Find the average rate of f (x) = (x + 1)² over [-1, 2]. 5/3 2

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Q: Find the Taylor series for f(x) = at a = 3. x

A: Step 1: Step 2: Step 3: Step 4:

Q: 2) Find the equation of the curve whose slop 12 B) T= r The rate of change of the temperature, T (in…

A: Step 1: Step 2:

Q: Test the series below for convergence using the Ratio Test. n= (-1) "42n+1 (2n+1)! The limit of the…

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Q: A spherical balloon is inflating with helium at a rate of 400л increasing at the instant the radius…

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Q: 2. Determine their interval of convergence If the normalized Fresnel integrals are written to form a…

A: To determine the interval of convergence for the Fresnel integrals C(t) and S(t), we need to examine…

Q: coth-1 x = tanh 1 x 1 x Prove mathematically that the right-hand side is equal to the left-hand side…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

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Q: Solutions to question 3 please

A: Step 1: Step 2: Step 3: Step 4:

Q: "Time is fluid" 50 X 55 XI 60 45 5 10 15 M 30

A: The amount of time that something happens or stays the same in a non-spatial continuity that is…

Q: If C is given by (t) = (cost, sint, t), 0<t<T, then Lyds is 02√2 O√2 O None of the above

A: If you have any problem let me know here in comment box for this thankyou.

Q: Please help. The answer is not 4.

A: Step 1: By applying the Power Rule of Integration, ∫xadx=a+11​xa+1+c ,  Step 2: To find the…

Q: Please see image

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Q: Inventory Control A company anticipates there will be a demand for 20,000 copies of a certain book…

A: The total setup cost for the year is $200 × (20,000 / x).

Q: Find the general solution of the system with the following equations. dx dt dy dt = 3x-7y and…

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Q: For the parametric curve, find the cartesian equation and graph the parametrized curve. Also, please…

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Q: The demand for a particular item is given by the function D (x) = 1,450 - 3x². Find the consumer's…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Explain why each of the following integrals is improper. '3 (a) X dx 2 Since the integral has an…

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the function y = f(x) shown in the graph below. At points x = 1 and x = 3 determine whether…

A: Step 1: Step 2: Step 3: Step 4:

Q: 4) At t=0, a rock is thrown down from the top of a 100 m tall building with a downward speed of 5.0…

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Q: Find the general solution of the system with the following equations. dx dy dz = -4y+2z, =x-5y+2,…

A: Step 1: Given system of homogeneous linear ODE's in matrix form : X′=AX,where…

Q: calculate..... along the curve in the first octant given by x^2+y^2=1, z=2x

A: Step 1:Step 2:

Q: 2) We need to maximize ▭, which is the price per seminar ticket times the number of seminar tickets…

A: Now, let's construct the revenue function: Revenue = (number of seminar tickets sold) × (price per…

Q: Please don't provide handwritten solution.

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Q: The population in a certain city was 55,000 in 2000, and its future size is predicted to be P(t) =…

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