1. Find the parametric equation for a line that passes through the points (1,1,1) and (2,3,2). Deter- mine the intersection point of the line with the x = 0 plane, y = 0 plane and z = 0 plane.

Q: 3. Evaluate f'(5) for y= √4x + 5

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A: We have to find the differential equation from the given curve and we have to also check y = tan(cx)…

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Q: ƒ(x) = { C = cx + 4, cx² - 4, For what value of c does lim x→→6 x < -6, x ≥ −6. f(x) exist?

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Q: 4. Do Ex. 3 with the aid of the formula: sin y cos y = Ans. Ans. - 5. $../00 cos 20 sin 20 de. sin…

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Q: 3. f (x)=√x³ + 6x²

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Q: The possible horizontal asymptote of 3x²-2 10. y 5x2-4

A: Topic:- calculus

Q: Eliminate the constant: y=c₁e²+c 3x ad Oy"+y'-6y=0 Oy" + 5y'+6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

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Q: Find the derivative of the following function by first expanding the expression  f(x) = (4x +5)…

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Q: 4.y=x y-y y+1 y(3)=-1

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Q: 2. y' = 2y4+x4

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Q: (2) Find the length of y = sint on [0, π] (ok to use Wolframalpha to evaluate the integral).

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Q: h = [(xcos.x)² dx

A: To evaluate the integral without using substitute.

Q: 1) In the 2000 U.S.​ Census, a small city had a population of 60,000.  By the​ 2010, the population…

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Q: Find the antiderivative of r' (t) = -i— 6tj that satisfies the initial condition r (1) = 7i – 2j.…

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Q: At a price of $26.75, producers will provide 7 items, while at a price of $32.25, they will provide…

A: At a price of $26.75, producers will provide 7 items, while at a price of $32.25, they will provide…

Q: Question d Siven r(t) = 5t¹i — 5 cos (t)j + eſtk, find — [7t³ - r (t)]. dt Provide your answer…

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Q: Plot the point with spherical coordinates (2, -5pi/6, pi/6) and describe its location in both…

A: The objective is to plot the point with spherical coordinates 2,-5π6,π6 and describe its location in…

Q: By determining f'(x) = lim h→0 f(x) = 8x² f(x+h)-f(x) h 1 find f'(5) for the given function.

A: As per the rules we can answer only the first question and other can be reposted,

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Q: Use Convolution to solve inverse laplace laplace of a function: L"{3²²-1}

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Q: Let f(x)=4x 2+12x−2 Using the definition of derivative, f'(x)=limh→0 f(x+h)−f(x) /h, enter the…

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Q: lim ||

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Q: Eliminate the constant: 2x 3x =c₂₁e²x + c₁₂e³x Oy"-y'-6y=0 Oy"-5y'+6y=0 Oy"+y'-6y=0 Oy"+ 5y'+6y=0

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Q: 3/5=-3n

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Q: 1. y = x²sin (5x)

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Q: For the function, find the points on the graph at which the tangent line is horizontal.  y=4/3x^3…

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Q: If U₁ = sin (zx/L) cos (avt/L) and U₂ = sin (3xx/L) cos (3лvt/L) are solutions to the wave equation,…

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Q: Two 30 Cars and A and 40 mi/hr Start moving toward time will B having average speed of respectively…

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Q: Eliminate the arbitrary constants F and G from the given equation below. y e3x = Fsin2x + Gcos2x

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Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C1…

A: Differentiation of trigonometric ratios which is used in given question.