II. Evaluate the following integrals cos xsinx 1. S -dx V2+cosx ||

Q: Q3/ Using shifting and reflection to draw the following functions. 2- y = √1 ex 2- y = sin(x) + 1

A: As per bartleby guidelines we only give first question answers.

Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

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Q: y s 5 4 -2 -2 The diagram shows the shaded region bounded by the curves y = x² + 2, y = 4 - x, y = x…

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Q: A.The table indicates that a(1)= 2m/s. What does that tell you about the velocity B. The table…

A: Given

Q: (6) Sketch a graph of a function, f, that has the following properties: • lim f(x) = 3 and lim f(x)…

A: Given information:  ----------------------------------------------------------------------------…

Q: Test for exactness then solve. (6x + y2)dx + y(2x − 3y)dy = 0

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Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

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Q: 4. Let sinx = Ź (-1)" x²n+) 2n+1 n=d ♦ a) Find a paver series for xsinx, Differentiate the power…

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Q: 6. y dy 1+√√y 11

A: SOLUTION-

Q: Find the lateral surface of the cone generated by revolving the line y = mx from x = 0 to x = 1…

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Q: Given that sin(0)= TT 3 and 2 <0<π what is the exact value of cos(20)?

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Q: fesch² (1- csch² (1+ 3x) dx

A: Hyperbolic function need to be integrated.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given :y=9-2x0&lt;y&lt;8revolution about y-axis

Q: I. Determine the convergence of each of the following series using the indicated test. In number 4,…

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Q: What is the center of gravity of the solid formed when the plane region bounded by y^2 = 4x in the…

A: First we sketch the given region using a graphing calculator as shown below:   The shaded region…

Q: In spherical coordinates, the integral •√√4-x²-y² IMM x² /4-22 None of these. 2π *π/2 2 S √²* [*¹²*…

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Q: A kite flying 80m high is blown horizontally by the wind at a velocity of 5m/s. If the string is…

A: We are given that a kite flying at 80m height is blown horizontally by the wind at a velocity of…

Q: 00 ermine the converges or diverges of the series n=1 = 1 (n+1

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Q: II. Find the value(s) of x (or the interval of convergence) for each of the following power series.…

A: The given power series,       ∑n=0∞n! xn

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A: Given :y=2x + 1, x- axis, x=1, and x=2 is revolved about y=0.Formula :Volume in cubic = π∫y2 dy

Q: T Evaluate sec²20d0 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE O A OB O O D OE

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Q: Suppose that P = 4.2x² + 1.5y² - 0.1x3 -0.01y3 tons is the production function for a product with x…

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Q: S 1 C=S²x + Sin'x

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Q: Determine the values of r for which the differential equation y" +9y' + 20y = 0 has solutions of the…

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Q: Find the equation of the line tangent to y = e The equation of the line tangent is y= at x = 1 - In…

A: Given query is to find the equation of the tangent.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The equation of the curves are: C1: y = x2 ⇒ x = y                 for first quadrantC2: x = y2 To…

Q: equences . Given that a₂ = 6 and as 96 are terms of a geometric sequence, find a. 2. Given that a10…

A: solution

Q: (sinhz)(coth’z+csch*r)dz

A: Integration is done.

Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Find the area bounded by the curve y = coshx and the x-axis from x = 0 to x = 1. a. 11.75 sq. units…

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Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Explained below

Q: -.f x³ ex² dx 3

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Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: Here we have to find the volume.

Q: yı y' = 2x +2y +1 3x +y -2

A: We can solve the given differential equation .

Q: Find the area of the region bounded by: 21. x + 1 = 0, x-3 = 0, y + 4 = 0 andy-5=0. 22. 2x + 3y = 6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given that -3 9+x² following functions: (-1)n+1 32n+1 4x (9+x²)² Σn=0 2. g(x) = x2n. Obtain the…

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Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: We will first sketch the curve and the line.

Q: | (sinh x)(coth’x + csch3x)

A: The solution is given in the next step.

Q: What is the y-coordinate of the centroid of the plane region bounded by the x-axis and the…

A: Given

Q: Let f(x) = e2sinz 1. Use the local linear approximation of f at x = 0 to approximate e2 sin(0.01

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Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 *

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: 5. Find the area bounded by the parabola y = x^2 - 3 and the line y =1.

A: Given problem:- Find the area bounded by the parabola y = x2 - 3 and the line y = 1 .

Q: Test for exactness then solve. (cos x cos y − cot x)dx − (sin x sin y )dy = 0

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Q: Definition of first order, explicit ODE and the definition of it s solution.

A: Solution

Q: As part of a chemical experiment, a scientist determines that the number sodium in a chemical…

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Q: Perform the integration. x-1 S= dx x² + 5x + 8

A: ∫1x2+a2 dx =1atan-1xa+C

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…