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Q: 8. (Optimisation.) The function f(x) = 2x³ - 3x² - 12x+80 has domain 0 ≤ x ≤ 4. Your goal is to find…

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Q: Find the general solution of the given differential equations by the concept of Exact DE and…

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Q: Find the domain of (f- g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the…

A: As per bartleby guidelines we only give first three question answers. Please repost for other parts.…

Q: The polynomial function A(t) = 0.0034031³ -0.03743t² +0.1029t+0.009 gives the approximate blood…

A: The polynomial function At=0.003403t3-0.03743t2+0.1029t+0.009 gives the approximate blood alcohol…

Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: I f²f³ e dxdy

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Q: 2. Evaluate y dV, where: E = {(x, y, z) |0 ≤ x ≤ 1,0 ≤ y ≤ 4x, y ≤ 3. Find the gradient vector, Vf,…

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Solution is given below:

Q: Consider the function defined as follows: f(x) = 5x² f(x+h)-f(x) and completely simplify your…

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Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

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Q: dz dt || z = cos(x + 3y), x = 8t³, y = 9/t

A: By the use of chain rule we need to find the required derivative.

Q: Function 1 t h(t) = sin t+=e 5 Point πT 1 I, -e 5 (a) Find an equation of the tangent line to the…

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Q: 1337 (2) =?

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Q: Q5: A. By power series, solve the ODE y' - 2xy = 0.

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Q: Convert the coordinates as indicated (3,TT/3, -4) from Cylindrical to Cartesian.

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Q: V₁= 2³²-37²³² +27= 0 + 1 (1-1)(1-2) = 0. 1₁=0, A2=1, d3 = 2 X 2X X Y₁(x) = C₁ + c₂e² +₂²² +₁=1, 4₂-e…

A: The objective of the question is simplying the given integral.

Q: 9. The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes…

A: See this solution in below.

Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e² 2 y = -1 4 X

A: Given graph:-

Q: Solution is wrong

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Q: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.

A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx

Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

A: The given series is: ∑j=1∞xjj2 Let, aj=xjj2; j≥1

Q: If you count from 1 to 100, how many 7's will you find along the way? Answer in numeric format only.

A: if you count from 1 to100,how many 7's will you find along the away?

Q: + + -5 -4 -3 -2 -1 у 5+ 4+ 3+ 2+ 10 О -1+ -2+ -3+ -40 −5+ 1 2 3 4 5 X

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Q: 1. Let F(x)=√1+t² dt. Find F'(1).

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Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

A: Concept: Linear inequality: The mathematical expression known as inequality is one in which the two…

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: e monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

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Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

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Q: i need the answer quickly

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Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

Q: If the coordinates of any two points ₁ and ₂ are (x₁, y₁) and (x2, ₂), respectively, then prove that…

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Q: Q04:4/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² +…

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Q: 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; 0≤x≤3 b. y=3x²-3;…

A: Topic:- application of integration     Note :- as per our guideline if more than three subparts…

Q: 6./07 - A room is 12 ft wide and 15 ft long. How many square meters (m²) is the floor in this room?…

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Q: Convert 1.2 in radians to degrees:

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Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Answer the following questions…

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Q: d) lim g(x), where g(x) = x-2 ~ (x-3)² if x > 2 x+1 if x ≤ 2

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Q: (4 4 Find the roots of Z²₁+1=0 it/2 Hint i = e :

A: Given :Z4+1=0Hint : i=eπ2i

Q: - 3 f(x)= x-2 2 if x 4 (a) Choose the correct graph below. ITPT▬▬ O Te C T ▬▬▬▬▬▬▬ Q O CHH do #fo 2…

A: Topic:- function

Q: Which of the following is guaranteed by the Intermediate Value Theorem, if f is a continuous…

A: Let's solve given problem by using intermediate value theorem.

Q: New Randomization Evaluate the function at the indicated values. (If an answer is undefined f(x) =…

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Q: 4.Find all complex numbers of the form z=a+bi, where a and b are real numbers such that zz = 25 and…

A: To find out all the complex numbers for the given condition.

Q: e บ!

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Q: 20. What is the probability of an actually event? a. O b. 0 Insufficient data O O C. 1 d. Not…

A: We need to choose correct option.

Q: Hello good people, how are you, I need you to write these numbers in polar form for the complex in:…

A: Note that, if z=a+ib then z=reiθ=r(cos θ+i sin θ) where r=a2+b2 and θ=tan-1ba

Q: The table of values was generated by a graphing utility with a TABLE feature. Use the table to…

A: The intersection points of the graphs Y 1 and Y2  are the ordered pairs that satisfy the condition(…

Q: Divide as indicated x + 5 5 + 5x +25 6

A: Topic = Algebra

Q: Engineers in a design department are assessed by their leader. A 'O' is 'Terrible' and a '5' is…

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Q: For the following integral: f3ae-2 dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration by parts method so…

Q: 3. Consider the initial value problem (IVP): ty' — y = t²e-t, y(1) = −1. (a) Use integrating factor…

A: We will use integrating factor method to solve this.