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Q: find ganeral From of taylak Seriesot FOA-In(3t4xl, about X-0 %3D

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Q: s-3 F(s) = The inverse Laplace Transform of is O f() = sin 3t – 3 cos /3t %3D O f() = /3 sin /3t-3…

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Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

A: Given: 2sin2x-cosx=1   As we know that; The general solution of the trigonometric equation cosx=cosα…

Q: 1. Obtain the general solution unless otherwise instructed d²y 1. y = 10sin²x dx2 %3D - SUMMARY OF…

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Q: 4. -1 y%3D 3x-9

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Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: Consider the following. f(x, y) = xy2 4 r= 4 r= 3 (a) Set up an iterated integral in polar…

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Q: How many ways are there to distribute r+s identical balls among five different children such that…

A: We need to find ways to distribute balls as asked.

Q: A. Plane Area in Rectangular Coordinates Find the area bounded by the given curves. Sketch the…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 422+8z-18 dz 3. S

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Q: Given f(x) =x2- 1, find the value f(2)

A: Given f(x)=x2-1

Q: S V25 – 4x2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: xdx Trigonometric Substitution -4x-7

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Q: 8. 1 is convergent or ) Use the Integral Test to determine whether the series divergent. "(Зп — 1)?…

A: To determine whether the series is convergent or divergent.

Q: 1 + x² – 4x + 3 lim T→1- T2 – x

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: Given first and second derivatives on the graph

Q: (a) sin(x) 2 0.5 x> π,x<π- πόπ6 <x< 5π6b ) (h)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate the integrals for 16 sin²x cos²x dx X,

A: Given ∫16sin2x cos2x dxTo evaluate the integral:

Q: Find two positive angles and two negative angles that are coterminal with the given angle and less…

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Q: 1-2 I For each of the following functions given by power series, find f'(x) and / f(x)dx. Do not…

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Q: I. Show that the function f defined by (r, y) = (1, –1) f(r.y) 2 + y (x, y) # (1, -1) is not…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: y 21 5 6 -2 -1 %3D1 -D2 3, (N

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Q: complete

A: Please refer to the image below

Q: Inside r, = 3 sin x but outside r, 1+ sin x

A: This is a problem related to area calculation by integration. Based on the given graph we will…

Q: L|3x – 6| dx = 30

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Q: Scos | cos 3x cos 4x dx :

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Q: 1.. Determine the equation of th a) -3 36 -2 26 1 16 1 -4

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Q: Use the above formula to write each of the following limits as an integra (a) (b) lim n00 j=1 n2 +nj…

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Q: Find all critical points of the function f(x) = sin¬'(x) – 8x for –1 < x < 1. (Use symbolic notation…

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Q: Sece. tano do seco Jsec'o -1 Seco . tanodo feco· Jtario feco. tono do Seco . tomo

A: we have to solve integration.

Q: 4) What is x to the power of -6?

A: The exponent of any number represents how many times to use the number in a…

Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

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Q: Evaluate the integrals in the following questions using integration by parts

A: Integration by parts formula:∫uv dx =u∫v dx -∫(dudx ∫vdx) dxI=∫ θ cos πθ  dθu=θ, dudθ=1v=cosπθ, I=θ…

Q: The ladder 7.5 meters long is leaning agains the wall of a house.  The base of the ladder is being…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

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Q: Find the area under the graph of the function over the interval given. 13) y =ex; [-9,4] A) e 13 B)…

A: We can find the area as below.

Q: Solve the system of linear equations бу + 4z %3D -24 Зx + Зу -6 %D 2x 3z = 4 (х, у, 2) %3D (||

A: Here we have to solve the system of linear equations. 6y+4z=-24 ..................... (1)3x+3y=-6…

Q: Evaluate the integrals in the following questions using integration by parts For 0 cos T0 de

A: By Parts Rule: ∫u(x)v(x) dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: why discontinuous  if lhl and rhl are same zero

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Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: J(x+h)-f (x) h 4x+9x+5 Problem #1: Using lim, Find the slope of the tangent line y = 3x-8 at x = -1.

A: Given: y=4x3+9x+53x−8 Let f(x) =y=4x3+9x+53x−8 We know that f'x=limh→0 f(x+h)−f(x)h Now slope of the…

Q: number 3 please...clear solution

A: Topic:- limits calculus

Q: Find p1 and P2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: s-3 F(s) = The inverse Laplace Transform of is O f(1) = sin 3t –3 cos 3t O f() = 3 sin 3t-3 cos 3t…

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Q: where R io the region inside the cree Evalate in poar coordinato the integrad:

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Q: Evaluate the difference quotient fla + h) - fla) for the function 7+ 3x . f(x)= 4

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Q: Q2: Find a root of x – 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

A: We have to find the root of given function by Newton Raphson method.

Q: What is the critical point?

A: The objective of the question is defination of critical point.