4. f cot²x csc ³x dx

Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY: y= x^2+1, x=0, y=0, and x=2…

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Q: apn below, state whether Graph 1 2- -8 -2 O Yes Graph 4 8. 4 OYes O No 6. 2+ O No resents a…

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Q: Find the derivative. f(x) = e. 3x

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Q: Consider the level surface given by 2a? + 5y + 2? 4. Match the slices with their correct plots…

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Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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Q: In solving Optimization Problems, it is important to substitute zero to the 니o parameter being…

A: Here is the solution

Q: nd the area bounded by the given curves, axes and/or line 1. у? + х — 4у %3D5;B у-аxis 2. у %3D 3х —…

A: Here I am providing my handwritten solution

Q: Given the triangle below, find the value of angle A to the nearest degree. angle A = degrees 20 A b…

A: Topic:- trigonometry ratios in triangle

Q: Find the area of plane region bounded by the curves y = x³, y = tan² z - 3 and the inequality 0≤x≤

A: To find the area of plane region bounded by the curves y=x3, y=tan2 x-3 and the inequality 0≤x≤π2.

Q: Evaluate cos(x) - 1| dr.

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Q: (e) Sketch a graph of g(x).

A: We need to find horizontal asymptote and graph.

Q: Why rad/s as a unit of final answer instead of ft/s?

A: A ladder 13ft long leans against a vertical wallthe top slides down 1.5ft per secondthe lower end is…

Q: 3 Find the area of the surface generated by revolving the curve y = 9 The area of the surface is…

A: Here we have to find the surface area.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = In (√9-x²) dy =

A: Solution: y=ln9-x2 Differentiate both sides

Q: Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v.…

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Q: af For the function f(t, x) = sin (9лt + 4x), find at af at (Type an exact answer in terms of t.)…

A: topic - partial differentiation

Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the given…

A: First we should recognise the small volume dv and then integrate it between the appropriate limits.

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

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Q: 2. (2x -y + 1)dx + (4x - 2y + 3)dy = 0

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Q: 14. Simplify: 1 csc²x O sin x 01 O tan x O cos x + 1 sec²x

A:

Q: The graph of the equation x2/3 +y2/3=52/3 is one of a family of curves called astroids because of…

A: solution:-equation of curveastroid x2/3+y2/3=52/3the length of half the first-quadrant portion…

Q: How the calculation below was done? Can you show step by step?  x / (0.001-x) = 0.5 x = 0.000333

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Q: 2 2Y と xe didy ーy

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Q: 218x- 2y-z= 10 x-3z = -2 3-x+y-3z=-4 |

A: We will solve this system of equations algebraically.

Q: Topic: Tangent Lines, Normal Lines, and Rates of Change

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Q: Solve for x. If needed, round to the nearest hundredth. Do you need to check for extraneous…

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Q: In solving Time Rates Problem, it is important to substitute the given values only 13 after…

A: Given data: y= (1-x^3)^(1/2)

Q: Given f(x, y, z) = x²y + y²z+z²x. (a) Find Vf(x, y, z). (b) Find the equation of the tangent plane…

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Q: -7x - 2 y =-13 x – 2y = 11

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Q: Find the area bounded by: x = y2 and y = - x2

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Q: 2) 1 V1-x² dx

A: The given integral,      ∫11-x2dx

Q: Find the area K of the triangle. K = square units (Round to two decimal places as needed.) C

A: Two sides a, b  and angle C of a triangle,  then area of a triangle is K=12absinC. From the given…

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

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Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

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Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: cosh z Let F(x) = 1. Find F(0). 2. Find F'(x). √x+1 sin(1-t) dt.

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Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY:  y=x^2+1, x=0, y=0, and x=2…

A:

Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: here red show horizontal i component brown show verticle j component

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on an average…

A:

Q: 1.6 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION

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Q: polar com 2) (3, 240°) 90° 120° 60° 150° 30° 0- 180° 2 3. 330° 210° 300° 240° 270°

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Q: of Find and dy f(x.y) = /2x + 3y? df (Type an exact answer, using radicals as needed.) dx II

A: We can solve this as follows:

Q: Use the power series E(-1yx", IxI < 1 to find a power series for the function, centered at 0. f(x) =…

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Q: Let f(x) = µ5ª. Use logarithmic differentiation to determine the derivative. f(x) = ƒ'(1) =

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Q: Find d (7ª). Type In(x) for the natural logartihtm function. dx

A: Given query is to find derivative if the expression.

Q: Find fx. fy, f₂. 2 2 f(x,y,z) = 3x -√√4y +z² fx= 3 (Type an exact answer, using radicals as needed.)…

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Q: Evaluate .n dS and .ndS if F = (x + 2y)i– 3zj +xk, , and S is the surface of 2x + y + 2z = 6 bounded…

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Q: 2x² – 4e*, find: If f(x) = 2x²

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Q: ind an equation of the parabola that has a focus at (4, 7) and a vertex at (4, 6): Find an equation…

A: Topic:- geometry