(ii) tank (In x) = x²-1 x² +1

Q: FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY y = -10 + 6 x - x ², X = 1…

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Q: 39 9. A curve with polar equation r = 6sin0+13cose represents a line. This line has a Cartesian…

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Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: 4. Verify the final value theorem for the function 3t²e-4t and determine its steady state value.

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Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

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Q: Find the transition points. f(x) = x(17x)1/3 (Use symbolic notation and fractions where needed. Give…

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Q: o - 23 dy

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Q: 26 Find the value of k so that line 4, 2]-[2-20]++ [2, k₁-3) is parallel to the Plane *x+24-42=12

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Q: If sin 20 = √3, 0≤ 20 ≤ 2π, calculate the values of

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Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

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Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: I have shaded the area green which is to be calculated

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

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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: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 4y - y² and y =…

A: Let's find moment with respect to you axis.

Q: One of the correct steps to evaluate A sin²20d0 [² B cos 40d0 C) None Ⓒ//ww D do + sin²20d0 Ⓒ = [ √…

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Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

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Q: 23. Test the series below for convergence using the Ratio Test. Σ n2²n 8n-1 n=1 The limit of the…

A: Here we have, ∑n=1∞n22n8n-1

Q: Compute : , log,(cosx) d dx - sin x A. (In 2). cos x 1 B. (In2).cosx -(In 2). sin x C. COS X -In2 D.…

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Q: Find the Area of the Surface obtained by rotating the curve about the x-axis y = cosh x, 0≤x≤1

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Q: Find the average value of the f(x) from z = 10 to z = 16 f(x)= √² - 100 I

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Q: A product can be produced at a total cost of C'(x) = 500 + 100x2 + x³ dollars, where x is the number…

A: Given that; Cost function and revenue function.

Q: Which of the following makes a good choice for u and v' for evaluating the following integral:…

A: Consider the integral  ∫xcosxdx`

Q: 7. ydx-xdy + xydy = 0 Ans: In²+ y = c

A: We have to solve differential equations

Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: First we draw the curves, y=6-x2.y=x,y=-2,x=-2.

Q: b. b. y = 2 1+e-x at (0,1)

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Q: Find the tangent plane (Xo, Yo, Zo) from f (x, y) = x² - 3y²; (0,1, -3)

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Q: 1f S₁ (x+5) dx = Sº (x+5) dx = 14, then the value of b is equal to If A) None B 3 с 4 D -3 E 2

A: We have to find the value of b.

Q: 1+coshxsinhx+(sinhx)2 It is true that cosh x = Select one: True False Using Increasing/Decreasing…

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Q: Find the area bounded by y³ = x² and x-axis, from x = 0 to x = 8.

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Q: 2x³ - 4x² − x − 3 dx x² - 2x - 3 zln |x+1| +31n|x - 3| + C Option 1 2 In x + 1-3 ln|x - 3| + C…

A: Given, ∫2x3-4x2-x-3x2-2x-3dx

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

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

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Q: a. On a rectangular cartesian coordinate system, sketch the parallelepiped having the vertices (1,…

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Q: Find the particular solution of dy/dx=6e^3x+1,andf(0)=0.

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Q: ly If cosh x = then sinh x = Select one: True False If f is continuous on a closed interval, then f…

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Q: d The series is divergent. . Ignore "Give your reasons" below. There is no need to give reason.…

A: False , we this sum is convergent

Q: Given: planes Π1 : 2x − 5y + z = −1 and Π2 : x + 5y + z = 5 intersecting on a line ℓ. (a) Compute…

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

A: Given that the differential equation  ds/dt=10*csc^2(2t) Determine by s=2 when t=pai/4  To find the…

Q: Determine whether each of the ff.differential equation is separable or not,if it is…

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Q: example of properties of definite integral

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Q: What are the domain and range of f(x)= In x? A. The domain and range are both all positive real…

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Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: Find the area bounded by y = x3 +6, y = x and y-6 www. -X.

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Q: 3. The region bounded by the curve y=sec x, the x axis, the y axis and the line x=0.25pi is revolved…

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Q: What is the domain of each part of the piecewise-defined function? (Enter your answers using…

A: Given that fx=-1.95x+25.90.535x2-1.58x+6.2Solution :Intersection point of piecewise-defined function…

Q: Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric…

A: The parametric equation,x=t2-t and y=2t3-1123

Q: ƒ(x) = 6x - 4x 2 x² +1 on [-3,0]

A: Let's find average value of given  function on interval [ -3 , 0 ].

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

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Q: 2. Differentiate the following: a. y = 2x-2y b. 2sinxcosy=1

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