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Q: Evaluate the indefinite integral (anti-derivative) | (9+r*)* dz by using the substitution u =9+x. Do...

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Q: The demand function for a commodity is p=13.25/1+0.01x, x is greater than or equal to 0. Where p is ...

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the r...

A: Given data:     The given expression for the first equation is: y2-x2=1. The second equation of the ...

Q: Find the area of the region bounded by the parabola y=x2 , the tangent line to this parabola at (1,1...

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Q: Rewrite by completing the square. 2x2  -12x +11

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Q: Let f be the function - { x2 - for x 5 Find the value of c that makes the function continuous. (Use...

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Q: Verify the identity: sin4 t - cos4 t = 1 - 2 cos2 t

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Q: The magnitude and direction exerted by two tugboats towing a ship are 1610 kilograms, N35°W, and 125...

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Q: Evaluate the limit of f(0) numerically or state that the limit does not exist. 4 cos(0) – 4 f(0) = 5...

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Q: Proving delta-epsilon limits

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Q: Find a point-slope equation of the line having the given slope and containing the given point. 7 m =...

A: To find a point-slope equation.

Q: 5 {       (x+2) sqrt 25-x^2 -5   by writing it as a sum of two integrals and interpreting one of tho...

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Q: Find an equation of the plane that passes through the point (3, 5, -1) and contains the line x = 4 -...

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Q: Find two unit vectors parallel to (2, 3).

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Q: Find all zeros of f(x) = x3 + x2 - 5x - 2.

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Q: Let P(-4, 1, -3) be a point that is not on the line L . Let the line L pass-through points Q and R a...

A: To write the equation of line in general form, express x, y and z in terms of t. x+3=t y+4=4t (y+4)/...

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

A: The graph of the region is as below:

Q: Find the exact average value favefave of f(x)=√9−x2f(x)=9-x2 between 0 and 3, then find an exact num...

A: Given data:     The expression for the function is: f(x)=(9-x2)1/2. The given limits of the function...

Q: Find the distance between the given parallel planes: (a) 2x - 3y + z = 4 and 4x - 6y + 2z = 3 (b) 6z...

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Q: y2=x, y=x. What is the volume of the curve is rotated about the y-axis

A: According to the washer method volume of solid rotated around the y-axis is given by:

Q: What is the Radioactive decay?

A: Radioactive decay is the process in which an unstable atomic nucleus goes into the breakdown of seve...

Q: A state lottery commission pay the winner of the ‘million Dollar” lottery 20 annual installments of ...

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Q: 103 65° 38°

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Q: find an equation for the plane tangent to thelevel surface ƒ(x, y, z) = c at the point P0 . Also, fi...

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Q: Find two solutions of each equation. Give your answers in radians  (0 ≤ θ ≤ 2π).  Do not use a calcu...

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Q: A skydiver’s vertical velocity is governed by m(dv/dt)=mg-k(V^2) where, ? is the mass of the skydive...

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Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl = ...

A:   The magnitude lvl and direction angle θ are given as lvl = 10,  θ = 330° We need to write the vect...

Q: 17. Find, correct to the nearest degree, the three angles of the triangle with the given vertices.A(...

A: Given: The vertices of the triangle are A( 1, 0 , -1) , B ( 5 , - 2 , 0 ) and C ( 1 , 5 , 5 ).   To ...

Q: Find all solutions of the form y = erx for the equation y''−y'−2y = 0. Then write the most general s...

A: This is a second order differential equation. The solution of a second order differential equation h...

Q: Describe the method used to integrate sin3 x.

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Q: y= x^2+ 2 and y= 11 distance of intersection of graphs

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Q: Find r'(t) and intergral of r(t) dt, where r(t)= t sin(t)i +sin2(t) cos (t)j + 3/ (1-t2)1/2 k.

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Q: The cost of renting tuxes for the Choral Society's formal is $27 down, plus $87 per tux. Express the...

A: Given  The cost of renting tuxes for the Choral Society's formal = $27  plus $87 per tux.

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

A: Given curve is: The point where the graph crosses x axis is given by: So the region extends from x...

Q: I have attached a photo below, thank you!

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Q: Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f...

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Q: simplify  sin(tan^-1(x))

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Q: Let f(x) = 6x² - 3x. (a) Use the definition of derivative and the Procedure/Example box in this sect...

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Q: calculate and generate the graph of the following general cylinders and surfaces in three dimensions...

A: The following is the ellipsoid.

Q: 7 (a) lim [3x]] Note: this uses the greatest integer function. X+2* (b) X 2 lim [3x]] (4)

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Q: Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (...

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Q: The graph of a function is given. y X (a) Determine the net change between the indicated points on t...

A: Given

Q: Linear approximationa. Write the equation of the line that represents the linear approximationto the...

A: a). Differentiating f(x) with respect to x, we get Now, Hence equation of a line that represents t...

Q: Changing order of integration Reverse the order of integration and evaluate the integral.

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Q: Hello, I need to explain why f(x) = 1/(x+1) is discontinuos at the given number a, where a = -1. I i...

A: Concept Used: A function is continuous if it passes the tests: