Find an equation of the circle passing through the points  (−2, 3), (−5, 6), and (1, 2).

Q: Suppose that f(x) is a degree three polynomial function such that f(-1) = 0, f(0) = 0, ƒ(4) = 0 If…

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Q: nd all zeros of f(x) eparated by commas. = x³ - 4x² + x - 4. Enter the zeros

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Q: • Solve using homogenous equation • v² dx + x(x + v)dv = 0 a.)xv² = c(x + 2v) • b.)xv¹ = c(x + 2v) ●…

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Q: The functions fand g are defined as follows. f(x) = 2x³ +6 g(x)=-3x+2 Find f(-3) and g (5). Simplify…

A: Topic = Functions

Q: 1. Find the exact volume of the solid obtained by rotating the region bounded by the curves y = cos…

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no…

A: The given system of linear equations, 2x1+x2-3x3=84x1+2x3=18-2x1+3x2-13x3=-12 We have to find the…

Q: OB. goh OC. gog OD. hog

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Q: Fill in the table and guess the value of the limit: y²-7y-8 y²-5y-24 f(y) lim f(y), where f(y) y→8…

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Q: length and direction​ (when defined) of u×v and v×u. Where u=9i−2j−8k​, and v=8i−8k The length of…

A: Topic:- vector algebra

Q: Differentiate:  Y = ln[sin(4x+2)]

A: Given: Y=ln[sin(4x+2)]

Q: Find the Laplace transform of the function √3, 0<t< 2π 0, 2π ≤ t < 00 f(t) = { NOTE: Express the…

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Q: Suppose g(x) ≤ f(x) ≤ h(x)for all x near 1 (except possibly at 1). In order to use the Squeeze…

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Q: 10. For which values of the parameter a does the following linear system have (i) a unique solution,…

A: given  2x-3y=0x+ay=1standard form is a1x+b1y=c1a2x+b2y=c2the condition for unique solution is…

Q: Evaluate the integral. (Use C for the constant of integration.) cos(x) (1 + 5 sin²(x)) dx

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Q: Given cost and price (demand) functions C(q) = 140q+46,900 and p(q) = 2q +840, what profit can the…

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Q: he average rate of change of f(x) = x espect to x from x = = 2 to x = 2+ h. Simplify completely.

A: Topic:- application of calculus

Q: Find the plane determined by the intersecting lines. L1 x= -1+3t y=2+2t L2 x=1-4s y=1+2s z=1-t…

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Q: f(x) = sinx, a = π/2

A: We have to find Taylor's series of the given function.

Q: Integrate (a) the following: Sty³+4y dy -44+5y² (b) S (y+1) dy y³–1

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Q: Match each equation with its graph. (Do not use technology.) -2 (a) y = x² Oh 9 f (b) y = x³ f 9 (c)…

A: Graph of the functions are given, we have to match its equation.

Q: a) Find a number x in the closed interval [] such that the sum of the number and its reciprocal is…

A: Let, The number is x. The reciprocal of the number is 1/x.   Then, The sum of the number and its…

Q: 3. Determine the slope of the secant to the given curve between the specified values of x. a.y=x²…

A: To find the slope of the secant for the given curve.

Q: O O O k|m9 3πT 05/2 Na -TT O T FTT/2 5 4 3 2 1- b Given the graph of the function ƒ (x) = \tan(2x)…

A: We are required to find the graph of the function f(x)=13tan(2x)

Q: PART THREE: ab* + k In this part, you are going to explore the effect of parameter k to the…

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Q: Integrate/Evaluate the following: (a) (b) √₁44+5y2 dy y³+4y ƒ (y+1)dy y³-1

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Q: L' The Midpoint Rule approximation for -3x - 5x²) dx with n = = 3 is:

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Q: -TT 03/2 NE O π K4 -TT/2 2πT 6 -5 -4 2- -1- 0 -1- --2- -3 edit-graph-on- desmos Given the graph of…

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Q: Let f(x) =    x2 + 1 if x < 2 (x − 3)2 if x ≥ 2 . (a) Find the following limits. (If…

A: given   f(x)=x2+1      if x&lt;2(x-3)2    if x≥2for  x&lt;2,    f(x)=x2+1for  x≥2,  f(x)=(x-3)2

Q: 8√Z S sec³(s) ds 3/7/2

A: let  A=782∫sec3(s)dswe know  1+tan2s=sec2sA=782∫sec(s)sec2(s)

Q: If the vectors u = 21+ 3j+k, v=i-2j+2k, and w=3i+aj + 3k lie on the same plane, find the value of a.…

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

Q: 4.fdx Ans: 3x In 3 + C

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Q: The kinetic energy E of a rocket of mass m, traveling at velocity v is given by the formula E =…

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Q: Suppose lim_ f(x) = 4. x-5 Which of the following statements are true without further restrictions…

A: Please see the below pictures for detailed solution.

Q: What is tan 0? 8 A. 15 What is cos 0? 8 A. 17 use sin0 = B. 1 15 8 15 - 8 17 and cot 8 > 0. C. 150 8…

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Q: Evaluating an Arithmetic Combination of Functions In Exercises 19-32, evaluate the indicated…

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Q: PART THREE: ab* + k In this part, you are going to explore the effect of parameter k to the…

A: Given: f(x)=abx+ka=1 and b=2f(x)=2x+k

Q: difference quotient for f(x)=1/(2x+3)

A: To find difference quotient of function.

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: The current ratio (assets/liabilities) of company X is 3.4. Given that the current assets are…

A: Solution: current liabilities = current assetsX

Q: Find the limit of the following rational function as (a) x→∞ and (b) x→-∞. h(x) = (a) lim X→∞ 2 - 2x…

A: h(x)=-x3-4x2+27x3+4x2-3xwe know   limx→∞ 1x=0

Q: Consider the line which passes through the point P(-4, 3, 2), and which is parallel to the line x =…

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Q: S (6 + 11/12 - 11/12) dx 3. 6x 1 3r3 +== 1 Y + C

A: Given query is to find the integral

Q: Use the method for solving homogeneous equations to solve the following differential equation. 7(x²…

A: The given differential equation is;  7(x2+y2)dx+4xy dy=0.

Q: 41. f(x) = e, a = 3

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Q: Sketch the triangle with vertices O, P = (0,6,7) and Q = (7,5,0) and compute its area using cross…

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Q: Suppose that f(x) is a degree three polynomial function such that f(-4) = 0, f(0) = 0, f(5) = 0 If…

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Q: Equation: y= Function: Yes or No Equation: y= Function: Yes or No Equation: y= Function: Yes or No…

A: Please see the below picture for detailed solution.  Note : A graph will not be a function if for…

Q: A producer and distributor of gift cards produces a boxes of cards per day at an average cost C'(x)…

A: given  C¯(x)=6x+100002x+400(a)  for produce 200 boxes put x=200

Q: O log, 8. Change from exponential form to logarithmic form. r=s(t)' log, () = =P log, (st) = r Ⓒlog…

A: Given expression r = s( t )p

Q: Find a formula for the quadratic function whose graph is shown. f(x) = -5 y 30 20 10 5 (5,2) 10 15…

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