Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.
A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...
Q: S 4x -Ry +32 = -2 2x +2y + Sz = 15 X+2y+3z=-3 -1x ty-2= 6 ! 3x-3y +22 = -4 ち=えも-s-x8 14+3x+2< 4y-2x ...
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Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 3 m/min. How fast is the ...
A: This question is based on application of derivative.
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A: To evaluate the given integral
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A: Given, fx=x-8x3 We have to find f'x.
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Q: Verify that the indicated function y = Q(x) is an explicit solution of the given first-order differe...
A: Solution : when y=125-x2y'=-125-x22×-2xy'=2x25-x22y'=2xy2thus in terms of x,2xy2=dydx
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A: LetI=∫ xcotx2sinlnsinx2dxSubstitute u=lnsinx2Differentiate du=1sinx2ddxsinx2du=1sinx2cos(x2)ddxx2du=...
Q: Use sigma notation to write the Taylor series about x = xo for the function. 4 In x; xo = 1
A: Taylor series of function fx at a is defined as: fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...
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Q: (a) Plot the first four terms of the sequence Зn? - Зп +2 2 (b) (i) Write in bracket notation the se...
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Q: Solve the given equation. (Enter your ans 2 cos?(0) – cos(0) – 1 = 0
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Q: answer
A: We can find the derivative of the fucntion F(x) which will give f(x) and then match the columns.
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Q: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...
A: Let's find.
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Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17, 31...
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Q: Use sigma notation to write the Taylor series about x = xo for the function. 2 In x; xo = 1 k =
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Q: 58. Find the maximum volume of a cylinder inscribed in a core of 4 m volume.
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Q: I. Identify the elements for the following set expressions given the sets below: (Explain your answe...
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Q: Solve using the U-Technique Question 1 Consider the integral 2nx g(x) dx . There is a function g(x) ...
A: Given
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A: Given: Total surfboards = 30 The distribution of surfboards is according to the number of rooms i...
Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 1 f(x) = 1 + + ...
A: Let's find.
Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycot.x)dx=Ois %3D
A: As we know that; The standard form of the first order linear differential equation; dydx+Py=Q Where;...
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A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C
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Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f '(t)=
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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...
A: In this question we have to find the value of the series and whether the series is converges of dive...
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Q: 2e 7. Evaluate ds
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Q: Suppose that f(z) is an entire function and there exists aceR s.t. Re(f(2)) < c for all z. Show that...
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Q: HX)= 2 X-7 g6x)=-8x-5
A: Note: (f+g) (x) = f(x) + g(x)
Q: xy'= y + 2x'
A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)...
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A: Given data
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A: If ∑k=1∞k-p converges, then ∑k=1∞k-p+0.001 converges.
Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...
A: Given :f(x)=exx0=7
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Q: Evaluate the integral. cos(5 x) dx
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Q: Write the factored form of the
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Q: Determine whether the series converges or diverges. In(k) Σ k k = 1 converges O diverges
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Q: Evaluate the integral. 7 sin-x dx +C NOTE: Enter the exact answer in expanded form.
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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is Eva...
A: topic - functions
Q: y" + y " +y' + y = 1
A: A differential equation is said to be linear if no terms in it are formed by multiplication of two t...
Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotx)dx=0is
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Q: Evaluate the integral. In(10 x 9) dx +C
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Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)
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Q: xdy +(y– xy+2)dx = 0
A: The given differential equation is; xdx+(y-xy+2)dy=0
Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10. Ev...
A: Evaluate integrate. And follow step 2nd . According to guidelines we solve only first three parts.
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- The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?find all the values of a such that y=xa is a solution of yII-12x-2y=0Find the general solution of F′(x) = 1/x2, x > 0 and find the particular solution that satisfies the initial condition F(1) = 0.
- Use Variation of parameters to solve following y"-3y'+2y=e^(-x)maximize f(x,y)=xy subject to the contraint 6x+y=18 the last question is what is the maximum valye of xy?Maximize f(x) = 4x 1.8x² + 1.2x³- 0.3x4 a) Using Golden-Section Search (x₁ = −2,xu = 4, εs = 1%) b) Using Newton's Method (xo = 3, &s=1%)