is a collection of observations and considered as building blocks of statistic science. A. Data C. Variable B. Parameter D. Statistic

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y ...

A: Solve the curve by using cylindrical shell method.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Given problem:- Use the method of cylindrical shells to find the volume generated by rotating the re...

Q: Find the volume of the solid generated by rotating the region bounded by y = sin°(x) and y = 0 betwe...

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Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: Find the number(s) 6 such thát the average value of f(z) = 6x² – 26x + 32 on the interval [0, 6] is ...

A: Given that: f(x)=6x2-26x+32on [0, b].Average value is 11 on [0, b]

Q: Find all first and second order partial derivatives of the function f(x,y) = x^3 sin(xy^2) + 3(x^4)y...

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Q: For the function defined as follows, find all values of x and y such that both f, (x.y) = 0 and f, (...

A:   Differentiate partially with respect to x and y to get the solution

Q: Find the domain and range of the function. Use interval notation to write your result. f(x) = sqaur...

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Q: Find the derivative of: – 8e-8* cos( – 3x). [Hint: use product rule and chain rule!] Use e^x for eª....

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Q: From the graph of f, indicate the intervals on which f is continuous. 2 4 -8

A: The graph of a function f is said to be continuous in an interval if the graph runs continuously wit...

Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: Given that: f(t)=-28cosπt6+41

Q: The given problems need the first derivative. Find the first derivative. y = 3x + 6 y = x2 –1

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Q: aghly, speaking, we can use probability density functions to model the likelihood of an nt occurring...

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Q: 1 -3 - 2 Let A= - 2 2 and b = b2 Show that the equation Ax = b does not have a solution for all poss...

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Q: write the standard form of the equation of the circle with the given characteristics. Center: (-1, 2...

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Q: cos(x) dæ with n = 4 is: The Trapezoidal Rule approximation for

A: Given ∫14 cos(x)x dx   n= 4 here f(x) =cos(x)x

Q: write the slope-intercept forms of the equations of the lines through the given point (a) parallel ...

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Q: Let f(x,y) = ln(100 − x^2 − y^2). a. Find the domain of this function. b. Find the boundary of the d...

A: We know domain of log(x) is (0, infinity)

Q: 2.

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Q: X^2+Y^2)+2XYdx/dy+2xy, Find differential exact equations

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Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6, i...

A: Hair we are given that the function is continuous at every point. we use the concept of limit for fi...

Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx. Fin...

A:

Q: uity?

A: We will find the functional value at x=2.

Q: ds = f(t) (m/sec) of a body moving along a coordinate line. The accompanying figure shows the veloci...

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Q: Q2 (10 M)/ Are the following functions analytic? (a)f(z) = sin(z) (b) f(z) = Re(z) –i Im(z) %3D %3D

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Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an ang...

A: We can find the value of h as below.

Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a) (...

A: Given:      Graph is given 

Q: af and dv se ди at (и, v) %3D (-3, -3). Use the Chain Rule to evaluate the partial derivatives- S(x,...

A: Given that: f(x, y, z)=x3+yz2x=u2+vy=u+v2z=4uv

Q: If f. g and h are functions defined on the set of real numbers defined by: F(x)= 3x+1, g(x) = 2x -1 ...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Topic = Volume

Q: x* + x³ + x² – x + 1 x(x² + 1)²

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Q: You want to buy five bottles of soda in order to cater a small get-together at your place. You run t...

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Q: The equation = xy? +2y +x-4.5 with the initial condition y(x = 0) = 1 is to be solved dx %3D using a...

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Q: 5. A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides ...

A: Given Total surface area = 7.200 cm2

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

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Q: 52. 0 = 6. 54. 0 = 12.9

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Q: On the graph of f(x) = tan x and the interval [-27, 0), for what value of æ does the graph meet the ...

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Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximat...

A: Revenue function is given R(x,y) = 19+162x+210y-3x2-5y2-6xy  , it is function of two variable  Findi...

Q: A. Evaluate the given limits. 1. lim 0 X-1

A: Topic = Limits

Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: In Exercises 69-74, use the function value to find the indicated trigonometric value in the specifie...

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Q: (x + Vz)°da

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Q: Evaluate the integral of xydx from x =3 to x=6 when x = 6cos angle and y=2cos angle

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Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y) ...

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Q: (b) Given the first-order differential equation as below: (x² +3y² +5)dx+(6xy +6y+3)dy = 0 (i) Ident...

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Q: A. Evaluate the following integrals by substitution. 1. fx(2x2 + 3)%dx x5 2. S; dx (x6-8)2 3. Sx V1-...

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Q: By how much cloth price rose during the

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Q: 2. A particle of unit mass moves so that displacement aftert seconds is given by x = 2 cos (t - 2). ...

A: