Please

Q: 13. 3n+1 + 3 3″ 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 200 2. Evaluate: 22oo(2x – 5)2

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Q: Let F(t) = ( Find 1 t +4 i fr(t)dt ( )dt (don't include the +C) fr (t) dt = {{ -, 4 sin(-2t), √2t…

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Q: Evaluate the definite integral. 7 1 √₁² 36 + (x + 5)² dx

A: Here, we have given a definite integral and be have to find its value so we will find it by using…

Q: Find x. Round your answer to the nearest tenth of a degree. x = 山。

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Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. limx→9…

A: Given; Limx-9(x-9)/[sqrt(x)-3].

Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: 5x Calculate all four second-order partial derivatives of f(x, y) = sin | ¹(5). fxx (x, y) = fry (x,…

A: We can evaluate the four partial derivatives by using the partial derivative rules

Q: 5 Thass [[1(², 3)dA = [² [² fff(x, 0 1 drdo

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Q: Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following…

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Q: 1. The income from Ming's robotics business for the next 10 years is given by the income stream f(t)…

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Q: Evaluate the definite integral by the limit definition. Lxdx

A: evaluate the definite integration by limit definition

Q: Olim f(x) = 3 x-2+ lim f(x)=0 -I--2 Olim f(x) = -2 →-3+ lim f(x)= does not exist →2 lim f(x)= does…

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Q: S Using the integration by parts method, 10x ex dx =

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Q: Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 4, ƒ(a) = 2, ƒ'(a) = 10, f'(aº) = 3 Then…

A: The objective is to find F'(a) and G'(a) .

Q: Find the area of the region included between the parabola py2 = x and the line x + y = p.

A: The solution is given below

Q: Set up, but do not evaluate, an Integral for the length of the curve. osys 21/12 O O x = 8 sin(y),…

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Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

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Q: A particle moves in a straight line with velocity 10 - 4t ft/s. Find the total displacement and…

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Q: What is the range of the function f(x) = = x + b -, a, b = R and a, b =0? xa

A: range of fx=x+bx-a

Q: Which of the following is the simplified expression of 1- 1 sece sin²e cos²0 O tan²e O sec²9 cose?

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Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: Suppose the fourth order differential equation has a solution of y = -6e5xxsin(x) (a)  We have to…

Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

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Q: Find the absolute maximum and minimum of f(x, y) = x² + y² ≤ 16. Please show your answers to at…

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Q: Find the absolute maximum and minimum of ƒ(x, y) = 4x + y within the domain x² + y² ≤ 1. Please show…

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Q: what is the set of whole numbers, positive integers, negative rational numbers, and natural numbers?

A: To write: The set of whole numbers, positive integers, negative rational numbers, and natural…

Q: Given the integral 1 /9 - (x + 2)² dx, king the substitution x + 2 = 3 sin(0) gives the integral

A: Given query is to find the integral.

Q: Evaluate the definite integral. 1 lis 0 (5* −_4*) dx

A: solution:-∫015x-4xdx=∫01exln5-exln4dx=exln5ln5-exln4ln401=e1ln5ln5-e1ln4ln4-e0ln5ln5-e0ln4ln4=5ln5-4…

Q: Find the derivative of the function at Po in the direction of f(x,y,z) = xy + yz + zx, Po(3,-3,1),…

A: Topic:- application of derivatives

Q: Find the inverse transform of the given function of s. 5 F(x)=-=-/ (A) There is no correct answer…

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Q: Determine the limit at infinity. 7x32x²+3x X-00 -x³-2x+7 9) lim

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Q: Given f (x) O-3 O 0 0 1 x+2 =2+2,g(x) = *=², find (ƒ + g) (1)? =

A: See the answer below

Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y =…

A: We have to eliminate the arbitrary constant from the given expressions

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) 5x² −…

A: need to find out the critical point.

Q: First the pieces: dz dx 8z dy da dt dy dt Use the chain rule to find dz dt || || || End result (in…

A: To find derivative of z.

Q: Solve the inequality (z - 4)(x − 3)² 4 0x3

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Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: The given equation of the surface: 4x2+2y2+z2=15Let, fx,y,z=4x2+2y2+z2-15.

Q: Find the area of the region that is bounded by the given curve and lies in the spect r-eº, 37 ≤0≤ 31…

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

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Q: Let F(t) = (4t+2, - 4e*, 2e-4). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) - +t

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Q: Find the linearization L(x,y,z) of the function f(x,y,z) at the given points. f(x,y,z)= ex+cos (y+z)…

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Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 3 that pass through the point…

A: To find the equation of tangents to the given curve.

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

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Q: Solve the differential equation dy/dx = 3x/e4y ,given that the curve y = f(x) passes through (0, 1).

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Q: 1. At all times, the length of the long leg of a right triangle is 3 times the length x of the short…

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Q: Optimal Chapter-Flight Fare  If exactly 196 people sign up for a charter flight, Leisure World…

A: need to find out the maximum revenue and fare per passenger.

Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3 – 0.01x +0.000006x² (in…

A: We need to find the increase in the cost if the production level is rasied from 3000 to 8500 yards.…

Q: 4 n n 3 +1)

A: Gven sequences:- a)n3n4+1 b)3n3-12n3+1

Q: Determine the area of the region bounded by two the curves f(x) = x² – 18x + 28 and g(x) = 9x + 14.

A: Given: fx=x2-18x+28 and gx=9x+4 Graph between both the curves will be as following   Area between…