Find an equation of the tangent line to the graph of the function at the given point. Y = sin 3x (= √2) 1)

Q: (2) Find general solutions (implicit if necessary, explicit if convenient) of the differential…

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Q: how is it possible to solve for the domain of f(x)=4x+x^2?

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Q: Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form.…

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Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: Question 4 What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? Ⓡ…

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Q: For the point P(-20, -3) and Q(-13,0), find the distance d(P.Q) and the coordinates of the midpoint…

A: For P(x1,y1) and Q(x2,y2)⇒d(P,Q)=(x1-x2)2+(y1-y2)2Midpoint M of segment PQ=x1+x22,y1+y22

Q: Let ˜(x)=3e³x (10−6x)+e³* (−6) Find the value of x that makes f(x) = 0 Pick test values and plug in…

A: Topic:- function

Q: For question 2a, does it still work out if I put the x's to the left and y's to the right instead?…

A: Integration.

Q: Solve the system below. Parameterize the solution set. x - 5y + 2z 5y + X 9z 4z - - - 3w 24w 12w - -…

A: The given system of equations, x-5y+2z-3w-u=0x-5y+9z-24w-3u=-14z-12w-u=-1

Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

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Q: 17 Unamughs gniwollet and not yhley to toong ito! Prove that N! > 2N for N a positive integer…

A: Please see the below picture for detailed solution.

Q: x-2 lim x-2 √2x2+1-3

A: Given,            limx→2x-22x2+1-3

Q: DUE NOW. Please answer the "script" part as the same as the process on what is on the…

A: Please see the below picture for detailed solution.

Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

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Q: Question Calculate the area, in square units, of the region bounded on the right by the line g(x) =…

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Q: Q3: Let L be the line passing the points A(1,-1, 2) and B(2, 0,-2) and let the point D be the point…

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Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

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Q: a) (b) (c) ê Sir COS -2s (²+4)² 8 (²+4)² 2s (s²+4)²

A: Topic:- application of integration and derivatives

Q: 1. Find the following limits proving whether they exist or do not exist y² sin x X E) F) lim (x, y)…

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Q: 2 x-3+ 3-x 6. lim 4 9-1²

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Q: 2x усха=<,ex + Czerx + зе + 3х. у сол=а, ў' сог=0

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Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: 5. The profit, P(x), of a video company, in thousands of dollars, is given by the equation P(x) =…

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Q: 1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² –…

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Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

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Q: In 1995, 76 women were enrolled in chemistry at a certain high school while 165 men were enrolled.…

A: To find out the percentage of women who are taking chemistry.

Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: ६(६+६) : (11-2+21) 2 (5+276 : (7 (622) 7) *b - (b) 4 (+) दहिका xb SEX K xb

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Q: Solve the differential equation dy dx x²(y²+3) + y (x³+1) = 0.

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Q: Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is…

A: Given problem:- Bioavailability is a term that refers to the fraction of an antibiotic dose taken…

Q: Estimate the limit numerically (or graphically). Use oo or -oo for too. Write DNE if the limit does…

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Q: Prove that lim x → 0+ (√x [1 + sin2( 2π/x )]) = 0 (using the squeeze theorem)

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Q: Suppose f(x) and f'(x) have the following values. -7 -6 -5 -4 -3 4 -9 1 9 2 6 x f(x) -2 f'(x) 1 -2 3…

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Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: Step 4 now find the time when v=0 v=0 t² -€/ - 2 t (10-²) 10t - 10 here t=0 is the starting point so…

A: Solve the following

Q: 16. f(x)=-3x¹(x+4) a. b. C. d. 0. lim x--1 f(x)= lim 11-1 /(1) lim lim lim 1172 f(x) =

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Q: • fcot ¹ 2 Start with the highest power. Write 11 x dx as a sum or difference of integrals of odd…

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Use the properties of logarithms, given that In(2) = 0.6931 and In(5) 1.6094, to approximate the…

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Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: y = x ² √√9-x² = x²(9-x²) ¹/2 WwS =/0²7 xF-P y² = x² [² (9-x²) ²¹/²2 (2x)] + (9-x²) ¹2 (2x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find an expression for a cubic function f if f(5) = 60 and f(−1) = f(0) = f(6) = 0.

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Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² - 6x + 6y + 2 =…

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Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

A: The given equations are; x1+x2+4x3+4x4-8z=21 2x1+3x2+8x3+8x4-14z=46 x1+5x3+4x4-12z=18…

Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

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Q: The following table gives the number II(t), in millions, of adult Americans with Internet access in…

A: NOTE: Refresh your page if you can't see any equations. . t 2000 2003 2009 I 101 160 190 .…

Q: In(√1-x x)dx

A: ∫01/2 IN (1-x dx - ∫0xdx

Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: Expand with binomial formula (a-x)5

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Q: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n