Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

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A: As per our company guidelines we can answer only three subparts question at a time, but if you need ...

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Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , evalua...

A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

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Q: Graph the two equations x+y= 0, and y = - (x-1) and find the points in which the graphs intersect

A: 1. Given x+y=0y=-xtf x=0,y=0if x=1 ,y=-1if x=2,y=-2Graph passing through origin .2. y=-x-12if x=0,y=...

Q: Homeworks 1. When a eircular plate of metal is heated in an oven its radius increases at a rate of 0...

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: 1 and b, = n2 Let a, = A- 2 Calculate the following limit. an lim bn (Give an exacanswer. Use symbol...

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Q: If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+1) + C, find the exact value of k. 1 (A) ...

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Q: Watch the introduction to partial fractions video 2 and the video on repeated linear factors e befor...

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Q: cot (2x) -dx. Evaluate the integral V cot2 (2x)- 15 csc (2x) CSC A --Arcsec 8 +C 4

A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

Q: x2 dx. Which of the following options is correct? 00 Consider 9+x6 00 Arcsin 9. + lim - Arcsin 3 A l...

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Q: Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle is a...

A: topic- application of derivatives

Q: Q2.) Graph the two equations x+y= 0 , and y = - (x -1)? ( 10 pt and find the points in which the gra...

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Q: Transform the General Form to standard form x² + y? + 6x - 8y + 13 = 0 %3D

A: topic- equation of circle

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Q: Use the limit comparison test to determine whether the series converges 8. 74 +5 The series Save for...

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Q: When you perform polynomial long division on the rational expression a²+3x+3 the numerator of the re...

A: The rational expression,    x2+3x+3x+1

Q: Let (2) = /2*+1, 4-x, Without graphing, is f(x) continuous at x 2? Clearly justify your answer. x+1,...

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Q: Use the limit comparison test to determine whether the series converges 8. 7h +5 The series converge...

A: The given series,      ∑k=1∞87k+5

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Q: Solve the following differential Equations

A: Given differential equation, x2+y2+1dx+xx-2ydy=0x2+y2+1dx+x2-2xydy=0 Formulas used, ddxxn=nxn-1ddxco...

Q: et Js (0, 1.2,3,4) and define a function g: Js x Js → Jg × Js as follows: For all (a. b) E Js X Js. ...

A: Onto function

Q: 2. In each of the following, find fyzz, fæyx, fryz- 2. f(x, y, z) = ln(xyz) + z² tan-1(e"y)

A: Given

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Q: evaluate the definite integral by interpreting the graph of the function over the indicated interval...

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Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

Q: Evaluate the integral 4x4- 12x2 +7 xdx.

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Q: f(x) = x - 5x^1/5   A) Find all critical values of f  Critical values = ____  B) Use interval no...

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Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. -32 4-1 A = B...

A: A=-32-44  ,  B=4-11-1AB=-32-44 ×4-11 -1AB=-12+2     3-2-16+4     4-4AB=[-10  1-120]

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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Q: Use Green's Theorem to calculate (422 – 3yx)dr + (3xy+ y² + 6)dy where C is the circumference (x – 1...

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Q: Find the solution of the following Differential Equations 2) (xdy – ydx)/x² = 4) 2.x In(y)dx+ yx'dy ...

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Q: Evaluate the integral / V4x4 - 12r? +7 xdx A - {(2x?-3) /4x4– 12x?+7 - 2 In |2x?– 3 + V4x4 - 12x2+7|...

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Q: Find the interval of convergence of (x - 9)" In (4n) n=2 (Use symbolic notation and fractions where ...

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Q: 2x² + 3x +3 dx (x + 1)

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