Q2) Find the volume of the solid generated by revolving the "tri- angular" region bounded by the curve y and the lines r 1 and y = and about the line y= 4. %3D

Q: e angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is…

A: we have find the reference angle then sine and cosines of both. here i am giving my handwritten…

Q: The slope of a curve at any point (x,y) is given by dy/dx= 8 - x.  If (2,14) lies on the curve, find…

A: find the equation of the curve.

Q: Find the sum of the first 9 terms of the follow 1 1 1 32 8 2 The sum is - (Type an integer or a…

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Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: he volume, V, of a sphere in terms of its radius, r, is given by V (r) = Tr3. Express r as a…

A: Topic:- function

Q: xe-4xdx

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Q: Solve the integral using wallis formula.

A: This question is related to definite integration, we will solve it using given information.

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: 15. ſ sin² 3t cos 3t dt

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Q: y= fix) 16 01 16 32 48 64

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Q: 1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the…

A: Given problem:- The line segment from (1,-1, 3) to (0, -3,1) forms a diameter of the sphere S₁. Find…

Q: Do not use a calculator for this problem. Find the x-value where the maximum value of y = sin x – 2x…

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Q: 9x2-42x+49 a. Simplify : 3x2-7x b. Solve the equations: i) 10 ii) 25x3 + 100x? – x – 4 = 0 ii) (х —…

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Q: 269. A bomber plane, flying horizontally 3.2 km above the ground is sighting on at a target on the…

A: We have to find the speed of plane.

Q: A graphing calculator is recommended. Find the dimensions that give the largest area for the…

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Q: Find the area of the shaded region. 24) f(x) =x3 +2x2- 3x, g(x) = 0 -4 -3 -2 -1-1 4 -5 47 A) 12 81…

A: Topic = Area

Q: Solve the equation .11 y" + 3y' + 2y = x2

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Q: 8. Evaluate the limit of (4x^2-x)/ (2x^2+4) as x approaches a. a. 2 b. 4 с. а

A: We have to find limit.

Q: 2. Solve the following initial Condition Problems: dy а. dx Vry, y(1) = 2. || b. y' = x + y, y(0) =…

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Q: Express the limit as a definite integral on the given interval. lim Ax, [1, 4] (x;)2 + 3 dx Need…

A: Given query is to write the expression as integral.

Q: Either show that the improper integral converges and find its value, or show that it diverges S* the…

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Q: Solve the initial value problem.

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 7 for f(x) = 1+z T2(x) must be of…

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Q: Find the inverse of the function. f (x) = 14 – 5x³

A: Topic = Function

Q: Use function composition to determine if f (x) and g (æ) are inverse functions. f (x) = Vx+I and g…

A: f(x)= x+13g(x)=x3+1Let y=f(x)y=x+13cubing on both sidesy3=x+1x=y3-1since y=f(x), so…

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 Preview 5/3…

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Q: Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the…

A: We need to find area.

Q: 4. Find 2+1dt O V4x+1 O V16x? +1+v2 O 4/16x? +1 O V16x? +1

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Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

A:

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: Given problem:- f(x) = x3 - 9x2 + 24x - 10 To find:- i) the critical values   ii) the intervals of…

Q: E-10: Let f(x) be a non-constant polynomial satisfying the relation f(x).f (y)= f(x)+f(y)+f(xy)-2,…

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Q: e-* dædy by changing the limits of integration appropriately. y/2 20. Evaluate

A: To evaluate the value of double integral.

Q: Show that the lines L1 : x =1- t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

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Q: 1 in LA 3 in 2 in 12 in R 3 in B R2 in Use the Pappus-Guldinus Theorem to estimate the volume of…

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Q: Find the derivative of the function y = 3 sec¬' (x + 3). (Use symbolic notation and fractions where…

A: We need to find derivative.

Q: Determine the derivative of y. y = ev12x+8 %D

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Q: Find the domain, vertical asymptotes, and horizontal asymptotes of the function. x+7 f (x) x2 -49…

A: Find your answer below

Q: A formula for a function y = f(x) is f(x) = 5x° + 1. Find f '(x) and identify the domain and range…

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Q: The solution of the differential equation below is dy 3y + 4x = 0 %3D dx *

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Q: dy = ky dx

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Q: V10 – Vx dx 3 2x2

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Q: Identify the graph of the curve by first sketching the graph of r as a func Cartesian coordinates. r…

A: r=2-2cos(θ)

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: Given: fx=y=x2+2, y=18 and  0≤x≤4 And the bounded region is: Apply the shell method to find the…

Q: rd order st order C

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Q: 2 4-x Find the area in the first quadrant bounded by the coordinate axes and the graph of y = 5 The…

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Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). (Use symbolic notation and fractions where needed.)

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Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

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Q: 4x + 1 - dx 4x2 + 2x + 3

A: