1. The general solution of the system [x' = y, y' is given by x(t) = C₁ cost + C₂ sint, y(t) = C₁ sint + С₂ =

Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

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Q: Find the indicated term of the binomial expansion. 10 (m-n) ¹0 ; fifth term

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Q: Consider the functions f(x) = 6 arcsin (6x) g(r)= 12arctan (a) Find the derivatives of f(x) and…

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Q: Find the time of flight, range, and maximum height of the following two-dimensional trajectory,…

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Q: 224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t –…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term  of the following sequence.

Q: Use special limit rules to discuss your response, you may use any graphing tool to support your…

A: In a n-sided regular polygon, the angle made at the center is the division of the total angle of a…

Q: 1. Ση=1_n3 +1° η n?

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

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Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

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Q: Below is the graphs of fox & gcx), & their tangent lines at x=2. fy=1.8(x-2) 9 9= ²/3 (x-2) a) lim…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: y² 7. Use a double integral to find the area between x = 2y and x = 3 Sketch this region.

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Q: Using the graph of f'(x) find the increasing/decreasing intervals of f, points on  axis which f has…

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Q: An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is…

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Q: Find the first few terms of the Taylor series centered at x = 0 to evaluate: COS 1 lim I→0 x²

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Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete…

A: We have to find the function using table values

Q: A company's marginal cost function is C'(x) = 686 - 4x +0.06x² where x is the number of units, i…

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Q: height (feet) of an object moving vertically is given by s= - 16t² +288t+216, where t is in seconds.…

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Q: Find the mass of a lamina bounded by y=5√x,x=9,and y=0 with the density function σ(x,y)=x+1

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Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

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Q: Consider the indefinite integral Then the integrand has partial fractions decomposition a b cx + d…

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Q: 1 se sec4 x tan x dx

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Q: lim У-у-г уг -30+2 зу Уже

A: We have to findlimx→−2

Q: Evaluate the following limits algebraically. 1. lim x---> -3         {-2x + 4; x -3 2. lim x--->…

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Q: Evaluate the following limits algebraically. 1. lim x--> - infinity   2x^2 / (x^3 + 5x)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: e Six dx xX (1+lux)

A: We use the method of substitution to evaluate the given integral

Q: Let h(z) -5+42-42³ 2² Determine the most general indefinite integral of h. I -5+42-423 22 dz P

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Q: Let h(z) = 2¹/3 Determine the most general indefinite integral of h. 1/3 dz

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Q: Use polar coordinates. Find the center of mass of a two-dimensional plate that occupies the quarter…

A: To find the center of mass of a two-dimensional plate that occupies the quarter circle x2+y24in the…

Q: =e*² and y = x²e² don't have elementary antiderivatives, but y = (2x² + 1)² does. Evaluate [ (2x² +…

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Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

A: Let the length of the rectangular field=x mLet the width of the rectangular field=y mThe figure of…

Q: 15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from…

A: Hsnsnsn

Q: Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

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Q: Find the area bounded by x² = y-1 and x = y-3 using horizontal strip

A: To find the area bounded by  by using horizontal strip.

Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 41 meters from an…

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Q: Question Details Given VxF= 2yj, what can we say about the vector field F? (Select all that apply.)…

A: We have to use the concept of curl of vector field

Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…

Q: Let g(z) = 6 Determine the most general indefinite integral of g. 1 6dz

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Q: f(x) = ln(x)

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: Determine the amplitude, period, and phase shift for the given function. - cos(2x - 5) y=1- 1…

A: To determine the amplitude, period, and phase shift for the given function.

Q: 5. Find an asymptotic expansion for as x+∞. Cπ/2 o -x tan² t dt e

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Q: 15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8"…

A: The dimensions of the box are:Length: L=15-2xWidth: W=8-2xHeight: H=x

Q: A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.261)e1.12567t…

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Q: d. y = (x² + x + 1)15 sin(lnx) e. y = f. y = √√x³ + x² + x + 1

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: Given w = and ws. x² + y² + 6z Y x = sinp, y=p+ 3t - 4s, 2= t³ and p = 1-2t. Determine wt

A: Given that  ,

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…