I using the following values. '4 r4 х dx 3D 6, 2 = 60, 2

Q: Let D be the region under the parabolic y = Va on the interval [0, 1]. The volume of the solid forme...

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) %3D 3 + 54х —...

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Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the are...

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Q: ds The velocity of a particle moving back and forth on a line is v = = 3 sin (2t) m/sec for all t. I...

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x² – y²), (-...

A: Explained below 

Q: Activity 2.1 A. Choose the function whose derivative is equal to zero c. f(x) = 3x d. f(x) = V2r? a....

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Q: hypothetical

A: We will find the rate of change of sides of the cube. 

Q: Let h(x, y) = , x = 8t t2, y = 7tt2. %3D Use the Chain Rule to calculate the partial derivative. (Us...

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Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item are related by 5...

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Q: 7/2 r = 6 cos 20 4 2 -4 -2 2 4 -2 -4

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Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

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Q: Distinguish Maxima Problem from Minima Problem.

A: Follow the steps given below.

Q: A. Given: Given Quadrilateral WISH is a parallelogram. 1. If mzW =2x+19 and nzS = 4x +9. what is mzW...

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Q: A.Test the continuity of the given functions. 1. f(x) = (x2 + x –- 6)/(x- 2) 2. f(x) =(x2 – x– 2)/(x...

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Q: Obtain 6. S y' = e+ %3D

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Q: 2. Find the polar forms of e .of 1+i

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Q: Fexsys = -xy + %3D 2 what are Hhe two criticas ints?

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Q: 24. 3e dx

A: topic - definite integrals

Q: A hypothetical square grows at a rate of 8 m^2/min. How fast are the diagonals of the square increas...

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Q: Instantaneous Velocity The velocity of moving object at a point during its motion can be determined ...

A: The given velocity function is: f(x)=-x2+6x-2 where x is the time in seconds.  

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

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Q: Solve the initial value problem. ds 12t(31 - 1)°, s(1) =7 dt The solution is s = S.

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Q: 0.4 0.2 -0.2 -0.4 t (s) The graph above shows the position of an object in simple harmonic motion as...

A: The maximum speed of a simple harmonic motion is given by, vmax=2πTA Where, A is the maximum displac...

Q: Suppose that f is differentiable on R and f'(x) = e*-4x+3 – 1 for all x E R. Determine all intervals...

A: Find your answer below 

Q: S cot5xdx S sin³ (2x)cos²(2x)dx 3

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Q: Obtain the general solution. 4y dx *-y *+y OC- y? + 2xy - x² OC = 2y + xy -x2 OC- y? + 2xy + x² OC -...

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not ex...

A: Find your answer below 

Q: ) Copy the vectors in the figure and use them to draw the following vectors. a) a + b              ...

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Q: Let f(x)=Vx+1, g(x)=x²-1 Find the composite function. (fog](x)

A: we have to find the composite function. 

Q: 3. Compute the integral /// y dV, where U is the part of the ball of radius 3, centered at (0,0,0), ...

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Q: 69 -24 A) -24 Solve lim B) 4 9+2 2-9 C) 24 D) -

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Q: Solve the following initial-value problems starting from yo = 6 . dy 5y dt A. y = At what time does ...

A: This is a problem of differential equation. Based on the general method and initial value we will so...

Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal place...

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Q: Select the graph of the function y = [2(x– 1)]²+1. Compare the graph of this function with the graph...

A: We need to compare the two graphs.

Q: A rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by cutting out id...

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Q: (-5t -2st1 Find the domain of f (t). Find the values of A and B if the function is continuous every

A: Here we have to find the domain of f(t) and the values of A and B.

Q: 2π (9ピ)1 dt (18も)+(18ピ)

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no x-interc...

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Q: Let a = ci + j and b = 8i + 6j. Find c so that the angle between a and b is Round your answers to fo...

A: Topic = Vectors

Q: Obtain the general solution. (x2 – xy + y²)dx– (xv)dv = 0 O x(2 - 1)e\/x -č O y - 1)e×/Y = C OC- xly...

A: Given the differential equation is x2-xy+y2 dx - xy dy = 0

Q: 72 and A is in quadrant 3. 65 Find tan(2A), if tan(A)

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Q: Solve (5.(x) ox 7 1 xx+

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Q: y(x) =x' (2x – r²)

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Q: Determine the particular solution. y"+ 2y' + 2y = 0: v(0) = 1. v'(0) = 2 O y= e{cosx - 3sinx) O y = ...

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Q: (3) A firms production function is Q(L) =15L -0.12', where output (Q) is a function of a single inpu...

A: The given function of production is: Q(L)=15L2-0.1L3 where L is labour (number of workers).

Q: Determine if the given function y = f(x) is a solution of the accompanying differential equation. y'...

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Q: Task: Find the general solutions of the following differential equations 1. 2x(y+1)dx + ydy = 0

A: 2xy+1dx+ydy=0

Q: Find the vertex of the parabola. y = 3x² - 1 О (0, (0, –1) O (-1, 3) O (-1, 0) (3, –1) (0, 3)

A: topic - parabola

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 2x+ 2. no x-intercept(s) (-7, 0), (–...

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