Txーt e lim 4x² 4,2 +4x

Q: Determine the period of the following periodical functions. i. sec x ii. cosec x ii. cot x iv. sin…

A: Take the help of period of the functions Sinx, Cosx and Tanx.

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum. 9. +... +(-…

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Q: Suppose that the coefficients of the power series Ean(r – c)" n=0 satisfy |an+1\| lim = L. |an| (a)…

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Q: Find the area under the curve between x-2 and x=-1 for the curve f(x)=(7 – x²)d

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Q: 5 - 4x² dx 4. 3 + 2X

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Solve the following

Q: Consider the function f(x)=4x^2−10x^7 Let F(x) be the antiderivative of f(x) with F(1)=0 Then F(x)=

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Q: Evaluate and write your answer in a + bi form. [3(cos 58° + i sin 58°)]* = Round to two decimal…

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Q: Use part I of the Fundamental Theorem of Calculus to find the deriyative of 12 १৩) | ( ) = dt f'(x)…

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Q: Consider the power series P (x) = ∞ ∑ (2n/5n+1)xn=1/2+x/3+2x2/13+43/64+... n=0 (a) Find its radius…

A: We have to find radius and interval of convergence.

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). f(x) = -5x + /25.x² – 3x Provide…

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Q: 4. Calculate the area of the bounded region = y' +3 y=3 -=1 y=-1 -1 4 5 6 7 9 10 11 12 A. 52/3 С.…

A: Given query is to find the area bounded by the curves.

Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

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Q: Solve for x

A: For solution of f(x) = 0 Drawing the graph of y = f(x) The point where the graph passes x axis

Q: If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0<xs4.

A: Given,           fx=kx2To find : Determine tha value of k that makes fx a probability density…

Q: Find the second degree Taylor polynomial of g(x) = 1– 3x about 3, then use it to approx- imate the…

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Q: 8. Using any work found in Question 7, determine the 3x (x? - 5)° dx a.

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Q: Under a change of variables x = u', y = v° , %3D the infinitesimal element of area dædy becomes

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Q: Does the following series converge or diverge? 1 Σ 2+7n In n n= 1 The series diverges. The series…

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Q: Find a power series representation for f(x) = x2 1+ x3 ° By differentiating the power series…

A: To solve the following problem  Sncw it is not hiven as in where to find the exact solution at which…

Q: dx Evaluate: XV x2 + 4 1 A) x² +4 – 4 + C x² + 4 +4 - x² +4 – 2 +C 1 (B 2 x² + 4 + 2 x² + 4 – 2 +C 4…

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Q: Evaluate the definite integral. sin(4t)dt 0.

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Q: Test the series for convergence or divergence. , n2 n =D1 n+1

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Q: dx COsxtanx

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: Find an equation of a plane containing the three points (-5, -4, -3). (-10, -3, -1), (-10, -2, 1) in…

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Q: Determine whether the improper integral converges or diverges. dx 1/3 -3 O Converges Diverges

A: Given query is to find integral converges or diverges.

Q: Question dx If z? = x +y. dt dy = -3, and z > 0, find dt dz -2, at (x, y) = (4, 0). dt %3D %3D…

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Q: Find the length of the curve y 12z/2 - 4, 1 <I 2. %3D Find the limit of tl.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(e) = Given r2 + 14x + 40 dx 1+ cos2 (x) At what value of t does the local max of f(t) occur? %3D

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Q: A follasng vector fiebdo are conserva hal function. c)

A: We have to find the potential function if the given vectors are conservative vector field

Q: Let B and F be the following matrices. 3 -1 7 6 2 0 B = -9 -4 -10 9 -3 5 -9 -1 7 2 F = –10 0 -9 -5…

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Q: one-to-one function is given. Write an equation for the inverse function. x-3 t(x) = x+7 () = D %3D

A: Given query is to find the inverse function.

Q: 14. In(1+ x?) da

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Q: Describe the shaded sector in the figure by inequalities in r and 0. y 45° Assume that the radii of…

A: In the given shaded region the value of radius is varying from 0 and goes upto the value of radius…

Q: A 1+ 2 + 3 + 4+ + 127 Σ > B, where .. n=1

A: First trace the rth  term then use the summation notation.

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

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Q: Given a set of data points determine Newton's interpolation polynomial of higher degree which passes…

A: The given points are: x -1 0 1 2 fx 3 -4 5 -6   We have to find Newton's interpolation…

Q: 4 3 1 10 15 20 25 30 35 time (sec) feet velocity (ft/sec)

A: At t=0, velocity is 1 ft/sec. At t=25, velocity is 3 ft/sec. Required distance =Final velocity -…

Q: Example Find the exact area of the surface obtained by rotating the curve y? = x + 1, 0 <x< 3, about…

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,2=1 -y+1 %3D z-1 3a 2a 3 Find the…

A: Explanation of the answer is as follows

Q: Find the gradient of the function at the given point. w = x tan(y + z), (20, 8, -4) Vw(20, 8, -4) =

A: The expression for the gradient vector is:…

Q: Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.…

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Q: Suppose f: I R is increasing, for some interval I. Show that lim f(x) < f(xo) < lim f(x).

A: This question can be solved using the definition of increasing function.

Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: Does the following series converge absolutely, converge conditionally, or diverge? (-1)" Σ 3/2 +4…

A: The given series is ∑n=1∞-1n7n32+4. Note that, The series ∑n=1∞an is said to converge absolutely if…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Answer the following True or False. 7x7 the fundamental theorem of calculus tells us that Since dx 1…

A: Fundamental Theorem of calculus:If f(x) is continous function, F(x) is antiderivative of f(x). Then,…

Q: fx) dx = -5x* + 3x² + 6x + C

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Q: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = | t*dt…

A: By using Part I of the Fundamental Theorem of Calculus:f'(x)=x4