ercise To Try 4 (A piecewise function.) Find the area under the graph of f(r) and ve the x-aris where 2 for 1

Q: Find the area bounded by these curves. (All choices are in sq. units) Y1 = (x – 2)? Y2 = x

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Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

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Q: In x 35. lim

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Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) V36 c) V112510716

A: Given: a)4+72b)236c)112510716

Q: Use a trigonometric identity to find cos (x - 5) if sin (x) = (Express numbers in exact form. Use…

A: Given,            sinx=67To find : Find cosx-π2.

Q: So  for the last part of the Question is it A. The Root Tests says that the series converges…

A: Apologies for the inconvenience. Here is the complete solution:   Given series is = ∑n=1∞an where…

Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,4, 1). NOTE: Enter the…

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Q: Find the area bounded by these curves. (All choices are in sq. units) y = x? y = 4x – x2

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: Find the relative maxima and minima of y by the second-derivate test: y= x^3+6x^2+

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Q: 1.

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Q: Find the tangent and cotangent of 195". Note that 195 = 150 + 45. Use sum or difference formulas…

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Q: A farmer's house sits 3 miles due south of a river. The diagram below shows the path that the farmer…

A: First assume a distance as x then make the relation between total  distance  and x.. And then for…

Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: Consider the function y= x³ – 9x + 4. a. Sketch the graph of y= x3 - 9x + 4. b. Find and describe…

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Q: Evaluate the following integral using trigonometric substitution. хах а. Vx2– x – 1

A: To evaluate the following integral using trigonometric substitution.∫x dxx2-x-1

Q: Solve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y…

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Q: Find the volume of the solid formed by revolving the region bounded by the curves x=2√y, y=0, and…

A: The graph is shown below, where the chex region represent the required volume to find.

Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: so if…

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Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

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Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

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Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

A: We have to find the error in the area.

Q: Evaluate * (1 – x²)3/2° 1 + c 3 1-x2 -1 + c /1 – x² O Option 4 Option 2 2 1 1 + c /1 – x² :+c 3 V1-…

A: ∫ xdx/(1-x2)3/2 here assume that  1-x2 = u -2x = du/dx xdx = -du/2 ∫ -du/2u3/2 ∫ -u-3/2du/2 2u-1/2/2…

Q: Exercise To Try 5 Find the area under the curve y = 2x +1 and above the x-a interval (0, 3]

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Q: M3.4 Integration by Partial Fraction Decomposition 6x-7 dx 7.J (2x+1)(4x²+1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Referring to the graph above, which of the following statements is correct: 1. f″(x) 0 for all x

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Q: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

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Q: 5. The subsequence of (xn) = () is.. a) (1층..) 0) (1.층,급.) b) (1,1,1, ..) a) (1.-) 6. The sequence…

A: Every subsequence has a pattern.  According to guidelince we solve only first question.

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

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Q: Solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

A: Given query is to find the value of x.

Q: 2) Calculate each of the limits by considering logarithm of the limit first. a) lim x'n x x→0+ b)…

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Q: Consider the equation x^3=1-2x, which has a unique root between x=0 and x=1. Apply Newton's method…

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: Finding a Limit In Exercises 11–28, find the limit. Use a graphing utility to verify your result.…

A: LetL=limx→ 0x+1-13xlimx→ac·fx=c·limx→afxL=13·limx→ 0x+1-1xRationalise the numeratorL=13·limx→…

Q: Solve the differential equation by variation of parameters. 2y" — 4y' + 4у %3D е* sec x y(x) = %3D

A: Solution is given below:

Q: xp sin 5x cos 3xt cos 5xsin 3x xp x²+ 2x + 5 EX Find:

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Q: Evaluate the limit below. 36 – x2 - 6 lim 5x

A: We have to evaluate the limit                                                limx→036-x2-65x

Q: Find the particular solution of the differential equation as determined by the initial condition. dB…

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Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: examples of geometric problems that can be solved using the parametric equations of a line and…

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Q: Find the general solution of the given higher-order differential equatio y(4) + у" + y" %3D 0 y(x)…

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Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

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Q: Give the curve r=3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line is…

A: θ r=3 cosθ 0 3 π4 32 π2 0 3π4 -32 π -3 5π4 -32 3π2 0 7π4 32 2π 3

Q: Find the x-coordinate of the inflection point(s) of y = f(x)

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Q: Solve the following differential equations using the method of undetermined coefficients. y" – 3y" +…

A: This is a problem related to second order differential equation. Solution will be conjunction of…

Q: Finding a Limit In Exercises 41–48, find the limit (if it exists). If it does not exist, explain…

A: Given problem:-

Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

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Q: Evaluate the following integral using the method of partial fraction. (6x²+ 41x + 110)dx b. S (x +…

A: Given:     ∫6x2+41x+110x+2x2+10x+29dx Perform partial fraction decomposition: