1 у 3 2 y (х + 2)

Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: A machine that was purchased 5 years ago for $66000 is worth $36000 today.

Q: ASK YOUR TEACHE Find sets of parametric equations and symmetric equations of the line that passes…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: 1. Determine the absolute extrema of f(z) = (sin a – 1) cos z on -. 2 if they exist, and identify…

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Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: The given problem is solved below in detail.

Q: dx 7. J x3 Vx2-4

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Q: H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in…

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Q: 6. For each of the following series determine if the series converges or diverges using the…

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Verify that the two planes are pārallel. -x + 6y + 2z = 7 x + 3y + z = 8 2. Find the normal vector,…

A: -x+6y+2z=7 ------(1) normal vector n1 for plane -x+6y+2z=7 n1=<-1,6,2>   or -1 i+6 j +2 k…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Symmetric equation of a line passing through the two points P(a,b,c) and Q(p,q,r) is given by,…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, 5)…

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Q: Question Given the function of f(x) = -4x2 - 5x + 1 on the interval [-5, -2), find a point c between…

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 8 1. x + 2y + z = 9 Find the normal vector,…

A: Let's find.

Q: Use the Limit comparison Test to establish the convergence ovpodivergence ofthe the Sum from Series…

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Q: Consider the following. g(x) = (5x – x³) h(x) = (3x + 4) f(x) = (5x – x³)(3x + 4) Find g'(x) and…

A: gx=5x-x3hx=3x+4fx=5x-x33x+4

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Find your answer below

Q: A factory makes bicycle tires. The cost, C, in dollars and revenuue in dollars, R, are both…

A: Given and Basic information:R=Rn, Revenue earned by selling 'n' tiresdollarsC=Cn, total cost of…

Q: 6. The two figures are similar and regular solids. Find their mass if the sum of their mass is 120g.…

A: Given information: 1. Given pyramids are regular pyramids. 2. Both pyramids are similar. (Hence…

Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: Use the Product Rule to find the derivative of the function. g(x) = (x2 - 2x + 5)(x³ - 6) g'(x) =

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Q: x³ – 11. What is dx ? х-1 x2 + 2x + C x3 x3 A. + C B. +x+ C C. 3 D. x(2x²+3x+6) + C 12. In solving S…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: 5x2 + x + 16 dx x3 + 4x 9)

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Q: For each of the following series determine if the series converges c for series convergence or…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

A: A detailed solution is given below

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: Evaluate the indefinite integral. cos x dx (sin x)27

A: Let's find.

Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. a² + y?…

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Q: S) Vx + 7 dx

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) = V…

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Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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Q: Consider the following. u = (-9, -6, 4), v = (6, -7, 0) %3D (a) Find the projection of u onto v. (b)…

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Q: Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

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Q: Evaluate ſ. 6x ds where C is the portion of y = 3+ x? from x = -2 to x = 0 followed by the portion…

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Q: What is the differential equation of the given 1 parameter family of solutions?

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Q: Question A spherical balloon is being filled with air at the constant rate of 10 cm'/sec. How fast…

A: This is a problem related to rate of changes. Based on the formula of volume of sphere we will…

Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: Suppose a person travels at a rate of 4 ft/hr toward the foot of a street lamp pole 51 ft high. The…

A: Solution: Let  H denotes the head of the person and P denote the top of the pole.  At any instant…

Q: 12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

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Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: Which of the following is a particular solution to the differential equation dx when x = e5 and y =…

A: We are asked to find the particular solution of the differential equation

Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

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Q: Evaluate the definite integral. 7t O e7 i - elj+ 1 k 2 7 O e? - 1 i+ (e 7 1 + k 2 O e' - 1 i - 7 1 k…

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Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

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