If the graph of the equation y= sin(x) is to be modified to shift it to the left by 2 units and translate it down by 3 units, the new equation should be... O y = sin(x + 2)- 3 O y = sin(x – 2) +3 O y = sin(x + 2) +3 Oy = sin(z – 2) - 3

Q: Question 18 Which of the following statements is TRUE? Select ALL that apply. O log, log,(r) – log,(...

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Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: It is known that the population of a certain country at time t is proportional to the people living ...

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Q: f(x) = x2 + 4x – 5, x < -2 -

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Q: Find all the values of z such that the given series would converge. (2 – 11)" n( – 10)" n=1 The seri...

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Q: -7 Let f(x) 7xVI + f'(x)

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Q: S sin³xdx =

A: Here we have to solve the given Integral.

Q: Use the simple Euler method with step size h = 0-1 to obtain the approximate value of y(1-5) for the...

A: Given step size = 0.1dy/dx = xy1/2y(1) = 4We will find the approximate value of y(1.5) for the solut...

Q: 12) y = esin t (In t5 + 10) A) eCos t (cos t)(In t + 10) - 5esin t 5esin t cos t B) C) esin t (cos t...

A: From the formula of derivative multiplication which is    d/dx[f1(x)*f2(x)] = f1(x)*d/dx[f2(x)]+f2(x...

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 5 sin(3x) sin(6x) dx

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Q: Find the derivative of y with respect to the independent variable. 20) y = 7cos TO A) -17COS TO In 7...

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Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

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Q: ст A particle moves along a straight line and has acceleration given by s'"(t) = 5t. Its initial vel...

A: To find the position function s(t) , integrate the given differential equation two times and apply t...

Q: 3入+3 >4 ) Shetch the qraph of a function f whose domain fs as lase as ssile' and satisliesa lim \im ...

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Q: Sketch the level curve of the function h(x, y) = y? - a? for c = 25.

A: Here we have to sketch the level curve.

Q: If f(x) 3. find f'(4).

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Q: Given the series: 25 125 3 + +. 72 12

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Q: Problem 5. In this problem, you wil fnd the volume of the solid genorated by revolving the reogion b...

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Q: How many derivatives at x = a are needed to produce a 5 degree Taylor polynomial centered at a ? O N...

A: How many derivatives at x=a are needed to produce a 5 degree Taylor polynomial centered at a

Q: 2х-1 c) Consider a function f(x)= Find х - 2 the vertical and horizontal asymptotes, i) ii) the inte...

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Q: %23 %24 In using the technique of integration by parts, you must carefully choose which exp followin...

A: The solution are next step

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: Find all the values of x such that the given series would converge. (-1)"2" 11" (n2 + 6) 7=D1 The se...

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Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: What word or phrase best fits in the blank below? "If lim f(x) = L, then when x is near a the corres...

A: For limit to exist, Left hand limit (LHL) and right hand limit (RHL) both should exist and equal to ...

Q: the standar form of the equation of the hyperbola with the given characteristic Foci: (0, 19); asymp...

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Q: Igure 3 below shows the region W bounded by the curve y x? and the line y = x. y dd or cre (6,6) rk ...

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Q: 7. Compute , and- axay : f(x,y) = (x + y)(2x + y)² ax 'ay

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Q: Find cos x + sin 2x dx 19. sin x

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Q: Use integration by parts to evaluate the integral: sin(In(9x))dx 1 x(sin (In)(9æ))– cos(In (9x)) + C...

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Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: 2. (D³ + 3D² – 4)y = 0 -

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Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: Use the Linear Approximation to f(x, y) = V at (81, 16) to estimate 15.9 (Use decimal notation. Give...

A: Given:     f,(x,y) = √(x/y)      Point: (81, 16 )    Approximation : √(81.1/15.9)

Q: find the centroid of the solid formed by revolving about the x-axis the solid formed by the curve x=...

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Q: Answer the following True or False: d. da I7 8 True O False

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Q: Solve the equation below by any method. Give an exact answer, using radicals if needed. 2x2 – 12 = -...

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Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

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Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the domain and the range of the function f.

A: Topic = Functions   Domain x∈-∞,-1∪-1,∞RAnge fx ∈-∞,-1∪-1,∞

Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

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Q: Simplify f(x). х3 — 4x2 - 16х + 64 f(x) = X - 4 x² – 4 for x * 4 f(x) =

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Q: 4 If f(x) = 4+ find f'(x). Find f'(5).

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Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* + co...

A: We are asked find the equation of the curve.

Q: Please solve in steps. And highlight main equations.

A: The given curve is: σ(t)=sin(t) cos(t), 3t2, et

Q: Note: to enter 0, type the word theta. (B) Which integral do you obtain after substituting for x and...

A: The given integral is: I=∫13-9x2 dx

Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: Which Riemann sum represents the illustration shown? AY 32 24 16 8 4 4 0 12 2x,2 i=1 3 Ο 1 Σ2X i=0 3...

A: Reimann sum

Q: Consider the skew lines: rị(s) = (s+1, –2s+2, –s+3) r2(t) = (-t, 2t, 3t +2) Find the distance betwee...

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Q: -21 Evaluate the integral: rV + 81 (A) Which trig substitution is correct for this integral? Or = 9 ...

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