Q: cos2x- sin2x cos2x F(x)+C: What is Fx)? For dr = - 3 cosx - sinx
A: A detailed solution is given below
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A: The antiderivative of f(x), denoted by F(x)F-x=-F(x)∫abfxdx=K, 0<a<b
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A: If Fx is an antiderivative of x-2+x-1, then to determine the value of F1-F-1.
Q: hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du
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A: To evaluate the integral.
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A: Given : (3x2-4)2x2
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A: Substitute x= m in the equation to get p(m)
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A: We will solve this problem in some steps
Q: dx - = In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+ 1)
A: Let's find.
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Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...
A: On solving this we will get
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A: We have to find the following given conditions according to the given information
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A: To evaluate the integral ,use the following trigonometric formulas.
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A: We are asked to find the antiderivative of the general.
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Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) – F (– 1)? 3 -1 -2
A: Given the antiderivative, to find the value of given expression.
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A: Integration
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A: Basic application of derivative problem
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Q: 6) Solve the following inequalities. a) x³ – 7x – 6 < 0 b) –2x³ + 8x² – 8x < 0 - -
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Q: 2nd deivative vong impliat dipperentiation x'y +y*x = X. -2
A: We can find the 2nd derivative of the given expression as below
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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...
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Q: Which of the following is an improper integral? @ I'm(x++1)dx A -1 (B -4 x² – x – 2 © S*« • In3e te ...
A: NOTE: Refresh your page if you can't see any equations. . check the first option find the domain of...
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Q: dx =In[F(x)]+C•What is F(/3) if C= 0? nk+1) For (x+x³) (x Tan
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A: Finding F(1)-F(-1)
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- Variation of Parameters (D^2-3D+2)y= 1/1+e^-xUsing Gauss Jacobi method on obtaining the linear equation. corresponding table with graph and 4 decimal places.APPLICATIONS OF DERIVATIVES PROBLEM: An 80 cm piece of wire is cut into two pieces. One piece is bent into an equilateral triangle and the other will be bent into a rectangle with one side 4 times the length of the other side. Determine where, if anywhere, the wire should be cut to maximize the area enclosed by the two figures.
- APPLICATIONS OF DERIVATIVES PROBLEM: A horizontal trough is 16m long, and its ends are isosceles trapezoids with an altitude of 4m, a lower base of 4 m and an upper base of 6m. Water is being poured into the trough at the rate of 10m^3/min. If the water level is decreasing at the rate of 25 cm/min when the water is 3m deep, at what rate is the water being drawn from the trough?Y"'-y"+y'-y=xe^x-xe^-x+7 by using Variation of parameters methodeThe long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…
- If x-y less than zero then y-x should be greater than zero but the working above mentioned the opposite. Need the explanation.The y-intercept is (0, 0). The x-intercepts are (0, 0),(2, 0). Degree is 3. End behavior: as x → −∞,f(x) → −∞, as x → ∞, f(x) → ∞.Using the Ritz method to find an approximate solution with degree 2 polynomial for the nonlinear problem.After you have previously put the equation in the variational form. y'' = (3/2) y2 with boundary conditions : y(0) = 0, y(1) = 1 Also please check the attached picture. I need complete solution please, thanks in advance.
- A mixing tank A 500-liter (L) tank is filled with pure water. Attime t = 0, a salt solution begins flowing into the tank at a rate of5 L/min. At the same time, the (fully mixed) solution flows outof the tank at a rate of 5.5 L/min. The mass of salt in grams in thetank at any time t Ú 0 is given byM(t) = 250(1000 - t)(1 - 10-30(1000 - t)10)and the volume of solution in the tank is given byV(t) = 500 - 0.5t.a. Graph the mass function and verify that M(0) = 0.b. Graph the volume function and verify that the tank is emptywhen t = 1000 min.c. The concentration of the salt solution in the tank (in g/L) isgiven by C(t) = M(t)>V(t). Graph the concentration functionand comment on its properties. Specifically, what are C(0)and lim t-S1000- C(t)?d. Find the rate of change of the mass M′(t), for 0 <, t < 1000.e. Find the rate of change of the concentration C′(t), for0 < t < 1000.f. For what times is the concentration of the solution increasing?Decreasing?Differantial equation y'' +6y' + 9 = 0 What is the general solution of Differantial equation?
