tind the first three nonzero terms in the Maclaurin Series of Flx) = tan %3D

Q: ques

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = 8^(n +…

A: The given sequence,    an=8(n+2)9n

Q: Can someone draw a graph and draw arrows in the directions pointing towards positive and negative…

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Q: Find the surface area formed when the curve f(x)=x^3 between x=1 & x=3 is rotated around the x-axis

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Q: Compute the area enclosed by the curves. You must show your work. 1 y = x, y = x³, X=- 2 312

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Q: 2 Integrating factors found by inspection.: fr-y+1tr-af²-y²-1ky =0

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Q: iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first…

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Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

Q: 15. What is the general solution of the exact differential equation (x + siny – cosy)dx + x(siny +…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 19 sin(t) + 6…

A: Solving

Q: Given f''(x) 16 sin(4x) and f'(0) = 3 and f(0) = 5. - Find f

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Q: xdy- ydx 4. The exact differential what is the d 5. In the differential equation 2xydx+(y -x²ty =0,…

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Q: a, = V 2n + 6" %3D lim an %3D

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Q: (х+6)dx 6. S- (х+2) (x+2)

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Q: A tank of water in the shape of a cone is leaking water at a constant rate of 2 ft'/hour. The base…

A: Given; dvdt=-2 ft3/four, h=6ft Let, the radius of the tank is r and the height of the tank is h at…

Q: For the following sequence solve A to C , explain all questions. an= 1/5+3^n A. What’s the limit? B.…

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Q: 2. [sin? x cos' x dx 4. [ cos’ 0 d0

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Q: Which among the following will result from the evaluation of limit below? lim, where m = n. Bg aTt…

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

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Q: S Le+6)dx (x+2)*

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Q: Solve for the domain and range of. f(x,y,z) = %3D V4-x2-y²

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Q: Complete

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Q: In a binary integer programming model, which of the following constraints is needed if for the…

A: Solution of the problem as follows

Q: d y' (-9 csc 3x cot 3x – 9 csc 3x) dx

A:

Q: Show Complete Solution. A particle moves according to the function f(t) = t³- 9t2 + 15t,t20, where t…

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Q: Activity 1.3.4. A rapidly growing city in Arizona has its population P at time t, where t is the…

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Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

A: As we know that n-th term of an arithmetic series is    a+n-1d, where a = 1st term and d= difference…

Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

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Q: mrs. smith invested P500,000 in a company that offers 6% interests compound annually. How much will…

A: We need to find worth of investment for 5 years.

Q: Two straight highways are perpendicular to each other. Car A is moving at 100 km/hr away from the…

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Q: Solve the following problems. Зху 1. Given that f(x,y, z) = e*' cos(yz). Find f , fw frvi: xyz ху

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Q: Determine the general equation of the plane 2 passing through the point P(1, -4, –5) and parallel to…

A: Given problem:- Determine the general equation of the plane π passing through the point P(1, -4,-5)…

Q: Linear equation of order one: dy-(x' -2xy kdx =0 Integrating factors fouund by inspection.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Se*V9-e2x dx

A:

Q: 8 Evaluate r(3 + 2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x +7 x2 + 5x – 4 2x2 – 3x…

A: We know that ∑r=1nr = n (n+1)2 ∑r=1nr2 = n (n+1) (2n+1)6 ∑r=1nr3 = n (n+1)22

Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem

Q: Consider a car whose position, s, is given by the table t (s) 00.20.4 0.60.8 1 s (ft) 00.5 1.4 3.8…

A: use average velocity formula for finding the value.

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Here is the solution.

Q: If the function f(x) below is continuous at x = 0, find the value of a 1- cos(4x) x 0 l/16+ vx) –…

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Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 54°…

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Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: 8) The perimeter of a rectangle is 56. Find the length and width of such a rectangle that would have…

A: Explanation of the answer is as follows

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: We have to  find the unit vector in the given direction.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find the average value of the function over the given interval. You must show your wo x2 - x +1 f(x)…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine…

A: The given vertices P-2,3,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values off subject to the…

Q: { 3x-5, Зх-8, if x 2 limit of f(x) exists.

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Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE:…

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Q: Consider a triangle ABC like the one below. Suppose that B=75°, a= 68, and c=49. (The figure is not…

A: Cosine Law :       cos A = b2+c2-a22bccos B = a2+c2-b22accos C = a2+b2-c22ab