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Q: Which of the following represents a possible equation for a sinusoidal function with an amplitude of…

A: answer is in next step. please give a like!!

Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation.

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Q: The position function of an object is given by r(t) = (t2, 8t, t²- 28t). At what time is the speed a…

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Q: kmarks Window Help 0 -7- The graph of f(x) is given below. Which of the three conditions for…

A: Given qiestion:- The graph of the f(x) is given below. Which of the three conditions for continuity…

Q: Solve the differential equation [cos (2y) - 3x²y²] dx + [cos (2y) - 2x sin (2y) — 2x³y] dy = 0 - a.…

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Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: 04115

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Q: S 3 T 2 For the above rational function f(x)= 3 Q 17 2x² +2.5 . identify the interval on which f is…

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Q: (1+x²)y' + 2xy = (1+x²)y

A: Given problem:- 1+x2y'+2xy=11+x2y

Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

A: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

Q: (−4 − x)² +5 if x ‡ − 5 Let f(x) 4x + 25 if x = -5 Calculate the following limits. Enter "DNE" if…

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Q: There are only two solutions to the trig equation sin =1. a) True Ob) False c) It depends on the…

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Q: A- Find the solution y(x) of the differential equation +=(x), the initial dx conditions y(0) = 1, y'…

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the const (x³ -…

A: The given integral is ∫x3-12x-4dx use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C use the…

Q: Suppose an investment of $9,000 is invested at an annual rate of 9.4%, compounded continuously. What…

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Q: √= - 4x + 43 x² 11x + 18 dx = +C

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Q: Evaluate f(1). b) Evaluate f(-1). c) Solve f(x)=2. d) Solve f(x)=-

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Q: Answer all of the questions below about the function f(x) graphed below when x = 5. 8 8 f -10…

A: Given Graph:-

Q: 49. y' + (-) x =) = xy²

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Q: Determine the following limit in simplest form. If the limit is infinite, state that the limit does…

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Q: Suppose that the position of a particle is given by s(t) = 4t³ + 5t +9. (a) Find the velocity at…

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Q: 1) Calculate the volume of the solid created by rotating the region bounded by y = x² +1 y = -x + 3…

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Q: 3 14 f(x) dx where a = 5 - ["² f(x) dx = [ f(x) dx 3 a and b =

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Q: A solution of the differential equation d²y dy +4- + 4y = 4e¯¹ dr2 da takes the value 1 when z = 0…

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Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: For the function y = f(x) = 3x³ – 10: df dx a. Find ƒ'( − 2) b. Find a formula for x = f-1(y).…

A: NOTE- "Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Calculate (t) when k(t) = r(t) = (6t¯¹, 1, 6t)

A: r(t)=6t-1, 1, 6t Formula for  curvature κ(t)=r'(t)×r''(t)r'(t)3

Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

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Q: 13. Find the intersection of [x, y, z]-[-8,-3,-5]+[1,2,-1] and [x, y, z]-[1.9.4]+s[2,1.7].

A: #13

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(3) = 9, ƒ(9) = 2, ƒ'(9) = 15, ƒ'(3) = 13…

A: Given Fx=ffx Gx=Fx2 f3=9, f9=2, f'9=15 and f'3=13

Q: Find the arc length of the curve on the interval. r(t) = t²i + 12tj, 0≤t≤ 6 The figure shows the…

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Q: Find the length of the curve r(t) = Interactive 3D Graph (√2t, et, e-t) over the interval 0 ≤ t ≤ 1.…

A: The given curve rt=2t, et, e-t over the interval 0≤t≤1 To find the length of the curve on the given…

Q: dy 44. -2,(-1,0) x-2

A: Given problem:- dydx=x-2x

Q: Given that answer= 5 f(x) dx = 3' what is 11 f(w)dw?

A: Property of Integral : 1.∫abf(x)dx=I ⇒ ∫abf(w)dw=I   2.∫abf(x)dx=I ⇒ ∫baf(x)dx=-I

Q: VIBDIC he following DES. to E visbiol

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Sam makes $25.00 per hour. He gets paid time and a half for overtime. He gets paid every week. He…

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Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: The area of the région bounded by the curves f(x) = x² + 1 and g(x) = 2x + 1 is best described by:…

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Q: functions f (x) = 2 and g(x) = 1 (i) Consider the (a) Write down the domains of the functions f (x)…

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Q: 3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit…

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Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: Given f''(x) = 3x + 3 and f'(-3) Find f'(x)= and find f(2) 1 and f(-3) = 5.

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Q: 3. f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below…

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Q: 1. According to Kanye East (not to be confused with Kanye West), (ux v) × w = u × (v × w). Is this…

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Q: A manufacturer can produce 3510 cell phones when x dollars is spent on labor and y dollars is spent…

A: SOLUTION-