Using appropriate substitution, the integral S ex3 dx is equal to: X4

Q: This is a differential equations problem. Solve the following IVP's using the Laplace transform met...

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

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Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: Question Given the following table of values, find h'(-1) if h(x) = (x4 +p(x))°. %3D 1 0 -1 2 p(x) 1...

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Q: Renirite ecc of the fo1lawing buuting ఆUng (A10garithm oto singu algebraic quantity) - Inca) -'/3 In...

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Q: Solve the differential equation by integrating factor method, dy (x + 1)2+ (x +2)y = 2xe¬*. dx

A: Given,            x+1dydx+x+2y=2xe-x.To find : Solve the differential equation by integrating factor...

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

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Q: Sy*ezdy

A:     ∫ y4ey2dyLet u=y2.=∫ 32euu4du=32·∫ euu4du=32u4eu-∫ 4u3eudu=32u4eu-4u3eu-3u2eu-2euu-euSubstitute ...

Q: e 4x =dx Ve4x – e

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Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b. l...

A: To find out the limits.

Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: 2 tan (4x – 1) – 3 cos?(4x – 1) cos (4x – 1) If we let u= 4x -1 for the integral of dx, what will be...

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Q: Let y = f (x) be a function with domain all real numbers. It is known that f ′′(x) = 1 + x(x cos(x) ...

A: Given that x=0 is a critical number for the function f(x)

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A: The given sequence is: an=7n6n2n=1∞

Q: Given the following trigonometric values, find the angles ? within the interval 0 ≤ ? ≤ 2? that sati...

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: Consider the following differential equation. (25 - y?)y' = x2 x2 Let f(x, y) Find the derivative of...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: r = radius of circle a = length of each side of equilateral triangle  

Q: Assume the nth partial sum of a series a, is given by the following: n = 1 9n - 4 Sn 2n + 4 (a) Find...

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Q: Solve the given initial-value problem. dx - 3у?, х(6) %3D1 y X = dy x(y) = Give the largest interval...

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Q: Jse the definition of Taylor series to find the Taylor series (centered at c) for the function. 4 f(...

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Q: The graph of the derivative f' of a function fis shown. y A y=f(x) 0. 4 9. (a) On what intervals is ...

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Q: Question

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Question : Find the general term of the sequence starting with n=1 . Determine whether the sequence ...

Q: S' 2. a Find Ay and f'(x)Ax for y f(x) = 9x°, x= 4, and Ax = 0.04. (Round to four decimal places as ...

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Q: dx 3. S XVx-1

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Q: Evaluate using wallis formula and text/upload your solution on the space provided. 1.) sin'xcos'x dx...

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Q: Given the following graph, what is the exponential equation that relates the variables?

A: Here x = independent variable y = dependent variable k = y - intercept = ( 4.5 0.1) m/s2

Q: Find the nth Maclaurin polynomial for the function. 5x - 3 f(x) n = 4 x + 1 Pa(x) =

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Q: Q4) A) Find by using chain rule if f = ( , u=-1, x=-1 dx ++1 B) Evaluate the following integral: V2 ...

A: Given f(u)=u-1u+12   , u=1x2-1    , x=-1

Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

Q: -) A) Find by using chain rule if f = ( , u = -1,x=-1 dx u+1 B) Evaluate the following integral: SV2...

A: This question is based on chain rule differentiation and indefinite integral.

Q: (a) If f(x) = V3 – x, find the inverse function f. %3D

A: Topic = Functions

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x² dy 2xy %3D 4y*, У(1) - dx ...

A: Topic:- differential equations

Q: Given the matrix -8 7 Introduce the "-R" term to the diagonal of the matrix then find the quadratic ...

A: Given problem:-

Q: (0) E sin ) sin 2(n+ 1) - n=1

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Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =...

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Q: Consider the relationship 7r+4t=21.   a. Write the relationship as a function r=f(t).   Enter th...

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Q: 4k? – 2k + 6 8k7 + k – 8 O The series converges. O The series diverges.

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Q: QS) A) Graph the curve Y-- 2x (x - 4)(x + 6)(x - 2) between the value of x (0, 4). then find the are...

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Q: In economics, the multiplier effect refers to the fact that when there is an injection of money to c...

A: We need to find T.

Q: 1 1 1 2 4' 8' 16 32 ' 64' 128 1 1 1 The sequence {1, } а. converges to negative one. O b. diverges C...

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Q: 12x Ja +9)6 dx

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Q: . Find two positive integers such that the sum of the first number and four times the second number ...

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Q: +00 {a,} an+1 Use the ratio to show that the given sequence {a,} is strictly increasing or strictly ...

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Q: Question 2 Use the Squeeze Theorem to find the limit of the sequence n!

A: To find the limit of sequence using squeeze theorem

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Limit comparison Test : Suppose ∑ak and ∑bk be two positive term series and        L =limk→∞|akbk| I...

Q: solve the given ini tial -value problem dx -x = gyz , x(6)=1 dy 2. X (y). %3D Give the largest inter...

A: linear differential equation