Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y +z = 5 intersecting on a line l (b) Determine the symmetric equations of l.

Q: Which of the following is not true? A √ in(x²) dx = lim_ sin(x²) dx 3 3 dx dx Ⓒ 1² B In(x²) - = lim…

A: Solution is done in step 2

Q: C. Find the volume of the solid obtained by rotating the region bounded by y = -10 + 6x-x², x = 1…

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Q: If 10 ["f(x) dx = 17 and A True B) False f'se f(x) dx = 12, then 10 f(x) dx=5

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A: Given: f(y)=15y3lny

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A: We have to evaluate the given integral.

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Q: Using the method mentioned in Item #7, find the volume of the solid generated by 3 revolving the R…

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Q: If z is a function of x and y implicitly defined by əz əz find and əx ду at (x, y, z) = (0, 2, -1).…

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Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

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Q: Solve f(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: Solved below.

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Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given, f(x)=x24(1-x)

Q: . Compute for the relation between the cubic inch and the cubic cm by taking the ratio of the volume

A: 1 inch = 2.54 cm    1 cubic inch  = (1 inch × 1 inch × 1 inch)  = (2.54 cm × 2.54 cm × 2.54 cm)  =…

Q: Solve • ƒ²₂(x + 1)(x + 2)²(x² - 1)dx with and without the even-odd theorems (show both solutions).

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Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

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Q: Find the exact maximum and minimum volumes (in cm) of a rectangular box whose surface area is 1,300…

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Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all x ≤ (a,…

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Q: ds π Find a particular solution of =10csc² 2t determined by s= 2 when t == . — = dt

A: Given:ds/dt=10csc^2(2t) To find: solution at s=2 and t=π/4

Q: Find the complete solution of e sinx-cos²x=0. dx

A: *Formula:- 1. ∫exdx =ex.2. sinxcosx = tanx.3.  1cosx = sec(x).4. ∫sec(x)tanx = sec(x).5. ey =x ⇒y =…

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin (2x - 6) sin(4x12)…

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Q: Using trigonometric substitution to solve x-2√4 – x²dx = f f (0)d0. What is (a − b + ²)? A B U D I…

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Q: Find the area bounded by the parabolas (x-2)²-9py = 0 and y² = 9p(x-2).

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Q: Look for the smaller loop of the limacon r = a(1+2 cos 0) and solve for its area.

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Q: smaller x-value larger x-value (x, y) = (x, y) = X X

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Q: Integrate the following functions f(x)=Ln [sec (x)] [², 3]

A: We will see the graph of secx to judge the value of greatest integer function of secx.

Q: f f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Here, f(x)=3-2x, g(x)=ln (x-1) Now,…

Q: 4 3. 2 1 -4 -3 -2 -1 2 -1- -2- -3+ 3. From the above graph of y = f(x), find the following limits:…

A: a)2  b) -2  c) -4

Q: Given: parametric curve H defined by x(t) = tan¯¹t and y(t) = e¹t, where t € R (a) Find the slope of…

A: Given that parametric curve H defined by x(t) = tan-1t       and    y(t) = e4t , t ∈R           we…

Q: Calculate the present value for the following. Round the answers to the nearest cent Present Nominal…

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Q: s Find the exact slope of the tangent line to the parametric curve π t = x = 9 cos(t) y = 4 sin(t)…

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Q: Find the Area of the Surface obtained by rotating the curve about the y -axis y = √x, 1 ≤ y ≤2

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Q: The table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

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Q: 1. Given: parametric curve H defined by r(t) = tan-¹ t and y(t) = e¹, where t € R (a) Find the slope…

A: Solved below.

Q: If y=(x-3)² revolved about y axis, find the volume of solid revolution of the curve from y= 3, to…

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

A: We have to find the volume.

Q: example of properties of definite integral

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Q: Why did you take f'(x)=0 and from them I didn't understand, can you explain it a bit, its really…

A: We have to explain the term f'(x)=0.

Q: 9. ydx - 4xdy = y'dy; y(4) = 1 Ans: -y²=

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Q: 3 So² √(√₁² - ²√₁²³) ²³ a dt

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Q: Find the surface area if C = {(x, y): 1 ≤ x ≤ 2,y = about the x-axis.

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

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