The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves  about the x-

Q: Given f(x, y, z) = zey 02 √√3 O 2e² 01-1 √3 O none of the choices 0 0 √3 x sin (3), what is fzz…

A: Differentiate and put the appropriate values.

Q: Solve linear diff eq dy/dx = e^(-x) -4y ; y(0)=-10

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Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

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Q: 51 b. Determine the gradient of the following function at Po h(x, y, z) cos xy + e + ln zx, Po(1, 0,…

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Q: (x + 1) dy = −y + 20 dx O separable exact linear in x linear in y O homogeneous Bernoulli in x…

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Q: I Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Solve the Homogeneous Equation using the given substitution. State the value of a. a= x² - y² - xy =…

A: As per the given condition I have to use the substitution y=vx such that dydx=v+xdvdx

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A: Solve the following

Q: 2. (3x² - 2x + 1)dx Step 1: Find F(x) by integrating the function Step 2: Apply FTOC Step 3:…

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Q: 1. Find the volumes of the solids generated by revolving the regions bounded by the lines and curves…

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Q: 6. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: lim[1-sin x] 19. 0 3 lim(1 + sin x) 20. x→0

A: 19) limx-0[1-sinx]1/x 20) limx-0[1+sinx]3/x.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Solve the following

Q: Use the Gaussian elimination to solve the following equations, so the variables X and Y are. ****…

A: Given equations, 8x-4y+4z=12,-6x+3y+3z=9,2x-y-2z=-6

Q: 2. f(x) = 1 x²-1

A: We have f(x) =1x2-1

Q: 7. Find the volume of the solid generated by revolving about the x-axis the region in the first…

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Q: Evaluate the following integrals. y = f(x) a. b. C. d. 16 0 f(x) dx [f(x) dx Ja (2|f(x) +3f(x) dx…

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Q: 4) If y = 2√x - 2 tan-¹ √x, then y y' = -1 1+x²

A: Given :y=2x-2tan-1x

Q: The following data set involves logarithmic growth. X 0.8 2.1 6.5 12.2 29.7 34.8 y 5.1 9.0 13.5 16.0…

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Q: By using convolution theorem for Laplace transform, prove that 1 L-1 ;x) = { erf (2√x) PVp +4

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Q: 8. 1 (1+x)√√x / dx

A: We have to find out integral

Q: C- - 0 x4 (1-√x)5dx

A: we  need substitution method to evaluate given integral

Q: 5. If the variance equal 16, the standard deviation equal: OA. 4 OB. 10 O C. 5 OD. 3 O E.2 6. If the…

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Q: Solve the differential equation x²y"— 6xy'+10y = xº cos(2x) . Linearly inde

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Q: Find an explicit solution of the given initial-value problem. dx = · 3(x² +1), x(7) = 1 dt X =

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Q: 16 Estimate lim is approaching to using a table of functional values.

A: We  find the table for the function f(x) near about the point x=4 then trying find out the limit…

Q: f(x) = 2x³ + 11x² + 12x - 9 For your function you are to: A) Analyze the Function State the domain,…

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Q: Find an equation for the ellipse whose vertices are at (-1,-8) and (-1,0), and focus is at (-1,-1).…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are

Q: olve the differential equation y"+4y=sec(2t).

A: To solve the following differential equation  y''+4y=sec(2t).

Q: 02:- b. find the total differential dz. z = x sin xy + x³

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Q: Given x = 5t - 5 and y = 25 sin t dy da t-0 (ii) dy da 2 t-0

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Q: rite the first five terms of the sequence: √n² +10n-n}+1 = etermine whether the sequence converges,…

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Q: Graph the function. f(x) = √√x+5 Plot four points on the graph of the function: the leftmost point…

A: Given problem:- f(x)=√x + 5

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

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Q: Question 2 (a) Find the derivative of the function. x3 F(x) = sin(u²) du (b) Find the area of the…

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.01q² +3q - 20, where q…

A: We will find critical points then we will calculate rest things

Q: (b) The graph of y-g(x) is shown. Draw the graph of y-g(2x). X

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Q: Find the general solution for the following Second Order Deferential Equation: d²y Q4: dx² - y = ex…

A: The given differential equation is;  d2y/dx2 -y=ex+x2.

Q: √√√x if x1

A: Explanation of the answer is as follows

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of y=f 5…

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Q: Find the area between the y-axis and the graph X = 543-2-1 1 2 3 4 5 (y - 3) dy = 6.500 (y - 3) dy =…

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Q: (2z +5, z 5 From the following results, determine whether the function f(z)-10, conclusion. (1)…

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Q: Identify the intervals where the acceleration is neither positive nor negative. Consider only the…

A: answer is in next step.

Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

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Q: Find a value of n such that y= x" e satisfies the equation xy' = (x-6)- y. (Use symbolic notation…

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Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

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Q: Find an equation of the tangent plane to the given surface at the specified point z = √√√xy, (3, 3,…

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Q: да Given zTan¯¹ (x + y) — ln [1 + (x + y)²] = 5%, what is ду -1 2-2x-2y none of the choices 2- 2x +…

A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…

Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

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Q: dy/dx=x-4xy Solve using integrating factor and seperating the variables

A: Topic = Differential equation