,3x S- -dx be given. If 4=e*+2. then the resulting integral is Jf(u) du. compute f (3). e +2 Let

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Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly ju...

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Q: Evaluate the following limits using L'Hôpital's rule   2. lim x→0+ tanh x/sechx − 1

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Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

Q: Solve the differential equation below: (D^2-1)y=e^-2x sin^e-x

A: Solve the differential equation below:   (D2 -1)y=e-2x sine-x

Q: Solve for the Differential Equation m 1. y= -- 7 2. y = Ce-2* + Cze* + 1 3. Ae* + Be-* = Iny

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Q: f(x) =(x^2/3 − 1)^2 Take note that the 2/3 is the exponent if x (a.) the critical numbers of f (b....

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Q: Consider the series. 14 14 14 14 + ... + + 3 32 33 34 This can be written as a geometric series in t...

A:   Given problem :-       To find:- First term C, common ratio r, sum of given series

Q: Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 3e 2t 2e

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Q: Answer the question below: Let c be a differentiable function of a and b that satisfies the equation...

A: Given,            Let c be a differentiable function of a and b that satisfies the equation below.  ...

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Q: ich it is decreasing. Then sketch a graph of the function. f(x) = -x³ +9x? escribe any relative extr...

A: Topic:- calculus

Q: Question 7 If the solution to Je2x sec²(e2x*1)dx is equal to ktan (e2x+1) + C, find the exact value ...

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Q: The figure shows f, f', and f". Determine which is which. y 3 -1 -2 2. 1.

A:    We have to apply properties of polynomial to find the correct graphs. 

Q: Determine whether the alternating series coniverges. 5ln k k k=3 O The series diverges. O The series...

A: Here, the given series is: ∑k=3∞(-1)k5 ln kk which is the alternating series with bk=5 ln kk; k≥3

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Q: Graph the Parabola. Given: Vertex at (4, -5) and Focus at (4-1)

A: (x-h)2=4p(y-k) , Vertical parabola.Vertex - (h,k)Focus - (h,k+p)

Q: 8*+2 11k–1 k=1 The series diverges ||

A: Given problem:-       To find:- Given series divergent or convergent and find its sum

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)*+'k! Σ (2...

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Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

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Q: 2. In each of the following, find fyzz, fryz, fryz- 2. f(x, y, z) = In(xyz) + z² tan-'(e*")

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Q: The path of a total solar eclipse is modeled by f(t) = 0.00357t -0576t + 24.586, where f(t) is the l...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 2 3 4 5 P5(x) = 1-x+ 6 24 120 ...

A: Note that, the function ex is: ex=1+x+x22!+x33!+x44!+x55!+...⇒e-x=1+(-x)+(-x)22!+(-x)33!+(-x)44!+(-x...

Q: у %3D Зx5 — 15x4 + 20х3 + 3 -

A: Given : y=3x5-15x4+20x3+3   To Find : x &amp; y- intercept of the given graph

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A: We need to find limit.

Q: (-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1...

A: solution:-1+xm=1+mx+mm-12!x2+ ... mm-1...m-k+1k!xk              1+∑k=1∞ mm-1...m-k+1k!xk         if ...

Q: Problem 2: Given z = 2 + i, 22 = 1 + 3i, zz = -4i and z4 = 2 – 3i.Evalua (a) (f) Z4 - z1 Z3 (b) |Im{...

A: Given; z1=2+i, z2=1+3i, z3=-4i and z4=2-3i Repost the next parts.

Q: B. Prove that the given equation is a solution to the given DE: 1. = C,e3* + Cze2* + Cze* ; y"- 6y" ...

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Q: Solve. p+ - = - 6 %3D

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A: The given functiopn,   f(x)=x3+8x-9

Q: 2. Find the following limits: Ve? +9 –3 b) lim x' +2x –1 a) lim x→-2 5-Зх

A: Find the limit of the following  a) x3+2x2-1/(5-3x) when x tends to -2  b) √(t2+9) -3/(t2) when t te...

Q: How much should Chad have in a savings account that is earning 2.75% compounded monthly, if she plan...

A: According to the problem, we have

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Q: 12. In the polar coordinate system, as defined in Chapter VIlc, r and e are related to x and y as r ...

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Q: 1. y = xsin(x + A) 2. y = C,sin3x + C2cos3x + x² – 9 3. y = 3Asinx – 2Bcosx

A: Please see the below picture for detailed solution. 

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Q: How much money should John invest today into a fund that earns interest at 3.50% compounded quarterl...

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Q: A vertical wall makes an angle of radian measure źr with the ground. A ladder of length 20 ft is lea...

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Q: Find the relative extreme points of the function, if they exist Then sketch a graph of the function....

A: Given that fx=-3-x23Solution :if f'x  +ve to -ve then maxima occurs .if f'x  -ve to +ve then minima ...

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Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear. A...

A: The given differential equation is;. t2s"+ts'=4-3sint.

Q: The function S(t) = 800 – 800t gives the shares of stock sold of a new product at year t for t 1 Not...

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Q: Solve. Vx-9 + /x+6 = 5 Select the correct choice below and, if necessary, fill in the answer box t

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Q: 2 10 10 dx x5 x5

A: Given, a ∫2x+10x5dx b ∫122x+10x5dx We have to solve for parts (a) and (b).  

Q: Find the area of the shaded region in the figure. (Round your answer to two decimal places.) 120 ° 8

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Q: dy of the function y = sec dx (1- Find the derivative + V4 + sin-'(4 + x²) l4+ sin- (4+x²)) tan(1 + ...

A: Topic:- derivatives

Q: 1. Find the tangent to the curve given by the parametric equations: X = 1/t; y= VE e-t

A: Appliaction of derivative problem  

Q: Find (f -g)(x). f(x) =x² +3, g(x)= V5-x

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Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

A: Given, w=f(x,y) x=rcosθ and y=rsinθ