ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

Q: b) Suppose to i that and V х-у Calculate the x and and y by and Jacobian ð (u, v) 2 (x, y) hence…

A: Suppose that x and y are related to u and v by…

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

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Q: √=x if x1 Let f(x)=₂x

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Q: Q1 (a) Using the second shift theorem, find L-1 se s² +91

A: Aaaà

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: 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: A large boat is pulled toward a dock by a rope. The rope is attached to the bow of the boat which is…

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Q: A group of 4 journalists is to be chosen to cover a murder trial. There are 4 television…

A: Let's find number of groups can be formed.

Q: If we try to apply Rolle's Thorem to the function f(x) = 2x² – 20x – 5 on the interval [0, 14],…

A: Here, the given function is: f(x)=2x2-20x-5 and the interval given is [0,14].

Q: Ⓒ Differenitale y = √3x-7 X

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Q: 2) 2xydy + (x² + y²) dy : > 0

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Q: The difference between the number of arrangements using all the letters in DIPLOMA and the number of…

A: We need to find difference between arrangements.

Q: Suppose that a product currently sells for $24, with the price increasing at the rate of $5 per…

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

A: We need to find gradient.

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: Determine dy/dx, if the curve is described by the equation 4y^3-5x^2y=4x^2

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Q: Ismael made an error when he was evaluating log3 27 - log3 9. Ismael's work log3 27 - log3 9 log, 27…

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Q: (5) Suppose that fis continuous on [a,b], _f(x) ≥ 0 Vx = [a,b] and ['f(x)dx = 0. E Prove that f(x) =…

A: Concept: In this question, we will prove that f(x)=0 ∀x∈a,b using the contrapositive method. Let us…

Q: Question 13 If f(x) = √ and g(x) = x¹, what is the derivative of (fog)(x) with respect to x? O 1…

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Q: In (x-2)² In sketching y determine the intersection of the curve and the horizontal asymptote. None…

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Q: (2) Compute dy dx if mxy=55

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Q: Evaluate the following integrals: 4T Vcsec 0 de 0

A: We need to do integration of our given function. Which we can do it as

Q: Using the appropriate substitution, what is the homogeneous form of the given ODE. (x - 2y + 4) dx +…

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Q: Jo (sec 9x + csc 9x)³ dx

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Q: 7. Find the volume of the solid generated by revolving about the y axis the area between the first…

A: Concept: According to the shell method, the volume by revolution about the y axis is…

Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12

Q: 6. cos x sinỗ xdx

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Q: A=  0 0.3 0.25 0.1     D=  3 4

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Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

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Q: d- d³y dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

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Q: c - [² x ² (1 - √x ) ³dx 0

A: In this question we have to evaluate the Integral.

Q: Use Lagrange multipliers z = f(x, y) = x² - xy + y² to find the absolute maximum and minimum values…

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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: √-x if x1

A: Sketch the graph of f(x) Given information; The function is fx=-x,   x<012x,      0≤x≤12x-x2,…

Q: A teenager is selecting which options they would like for their ice cream treat from the list below.…

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Q: Solve this question yey = 1

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Q: d- ax d³ y dx3 +6 d²y - 15 dx² Q.2-Solve the differential equation 15-100y = 0 dx

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Q: 1. Write a formula for f g h 2. Find the value of x [2x 31[¹3] = .f(x)=√x+1, g(x)=(x) -

A: 1) The given functions are: f(x)=x+1, g(x)=1x+4, h(x)=1x

Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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Q: A If A and B are in Golden Ration, then is equal to a. 0.618 b. 0.816 c. 1.608 d. none of these O a…

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Q: 05/ Giving the following data: X 0 1 2 4 5 f(x) 1 0 1 3 8 16 Evaluate the integral [f(x)]³dx by…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Use limit definition to solve

Q: Integration of Inverse Trigonometric Functions 1 1). fsinødø.; cos² Ø+9 1 2). Scotødø.- √9-In² sino

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Q: 32 students in a particular school were surveyed to determine the subjects in which they were…

A: Solution : Given that from figure it is                     Clear that

Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

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

Q: 1. S (x¹+3x²+1) dx 2. f(x³ + x² + x−¹)dx p³ +p²+p+1 dp 3. p3 √ 2² (√z + √z-1) dz 8x³+27 -dx 2x+3 5.…

A: The objective of the question is evaluate the anti-derivative.

Q: Find the general solution for the following Deferential Equations using Undetermined Coefficients…

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Q: Find the angle ? between the vectors. (Give your answer correct to 3 decimal places.) u = 7i − 9j +…

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