(8) Compute 100 [ f(x) dz 3 f(x) dx where f(x) = √9-x² ³x+3 if -3

Q: Let g(x) = *F(t) dt, where f is the function whose graph is shown. YA 1 0 3 f 6 9 t O A. Find g(3)…

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Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: Let s(t) = 6t³ – 9t² – 216t be the equation of motion for a particle. Assume -∞<t<∞. A) Find a…

A: Let st=6t3-9t2-216t, be the equation of motion for a particle.Assume -∞&lt;t&lt;∞.A To find a…

Q: (a) Eliminate the parameter and write the rectangular equation (b) Sketch the curve represented by…

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Q: Coefficients Linear in two variables. Find a general solution of the differential equation (2x -…

A: Let's solve given differential equation.

Q: Given the geometric sequence: 28, Find a11 196 13 - 1372 169 = 28. Find an explicit formula for an,…

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Q: Let C be the curve f(x) = the length of C, as follows: (1) Calculate f'(x). In(x) 2 - 4 between 1…

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Q: n-1 2)Let an = 2( 2 (²1) ¹²-¹ Write the first 5 terms of an. Σ ¹00 k=1 ak

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Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A: Solve the following

Q: can you please explain further what is being said I do not understand

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Q: Question 17 Integrate T Answer = 15(3x + 1)^dx Question Help: Video Submit Question Jump to Answer

A: Explained below

Q: DIFFERENTIAL EQUATION | Eliminate the arbitrary constants. Show complete solution. y= x² + c₁e²x +…

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Q: Find the amount of an annuity (in dollars) with income function c(t), interest rate r, and term T.…

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Q: 1 COS X sin² x O - cscricot - O sec x O tan x dx = cotx +C - tam x - C + C secx + C O csc x - cotx +…

A: First we need to simplify the given trigonometric ratio and then integrate it accordingly.

Q: Show that the vector field F = (yz cos(x)ey sin(x), z sin(x)ey sin(x), ey sin(x)) is conservative.

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Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

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Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: Evaluate the expression under the given conditions : Sin (O+p)-?, Sind= 15 O in Quadrant I 17 ) 2√5…

A: To find the value of the given trigonometric expression

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given: y=2x, y=5, 2y+2x=6 To find: Area between the above given curves Now, we need to find the…

Q: Evaluate the indefinite integral. f7 sin³ (2) sin³ (x) cos(x) dx = J + C

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Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x²-xy √x-√Y lim (x,y) → (3,3)

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Q: Find the standard form of the ellipse given below in general form. 18x² +108x +9y² – 54y +81 = 0

A: Solution: 18x2+108x+9y2-54y+81=0  The standard form of the ellipse : (x-y)2a2+(y-k)2b2=1is the…

Q: Evaluate limx-0 (2 sin x - sin 2x)/(x - sin x)

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Q: Suppose a linear function has a vertical intercept at y = -9 and a horizontal intercept at x = 15.…

A: Linear equation

Q: Given the tables for f & g below, f(x) g(x) 8 5 0 X 0 1 2 3 4 5 6 7 8 9 7 6 5 3 1 9 2 4 c) f(g(7)) =…

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Q: Use Integration by Parts to find 2x tan-¹(x) dx. df O r² (tan(x)) — 2(tan-'(x)) +C O r² (tan-¹) +…

A: Integration by parts

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

A: For the given question ∆x = 4 midpoint with n = 4 is M4M4 = ( a1 + a3 + a5 + a7 )∆x

Q: Evaluate the indefinite integral f7 sin 7 sinº t cos tdt = Submit Question Jump to Answer

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Q: On which of the following intervals can the domain of y = cos x be restricted so that an inverse…

A: Given    y =cos x The value of cos x can vary from -1 to 1

Q: Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 10z) k C is the line segment from (2, 0,…

A: Solve the following

Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: Newton's Law of Cooling. The initial temperature of an object is 37.8 degree C. If it took 10…

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Q: speed

A: We have to find the speed according to the given information

Q: rting to polar coordinates. dy

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Q: Which means the same as arctan ? Circle all that apply. cotan x 1 tan x -1 (tan x)-¹ tan¯¹(x) tan…

A: arctan x is the inverse of the trigonometric function tan x

Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

A: Given query is to find the value of the expression.

Q: Identify the vertices and foci of the hyperbola with equation Enter your answers as ordered pairs…

A: we need to find the vertices and foci of the given parabola.

Q: Sketch the region enclosed by y = 4z and y = 8z². Decide whether to integrate with respect to z or…

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Q: Select all that is true: If the slope of the tangent line to a given curve is given by where and are…

A: Given:- dydx=px,yqx,y

Q: 4. Find the equation of the plane that is perpendicular to the curve C(t) = at t = π/4.

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Q: Find the length of the spiral r=0², 0≤0≤ √21. The length of the spiral is (Simplify your answer.)

A: Topic = Integration

Q: Evaluate the indefinite integral. √2³ √8 + zºda + C

A: The given integral is x5sqrt(8+x6).

Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: Write 2₁ and 2₂ in polar form: ) 2₁ = √3 -2 2 ₂ = −1+√32 Find the product NI. i = √²-₁ i ²=-1 2; 2₂…

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Q: Find the area of region enclosed by=t-t², y=t-t³, 0≤t≤1 using Green's Theorem.

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Q: Textbook Sketch the region enclosed by y = e³, y = e, and a = 1. Find the area of the region.…

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Q: 7) Determine the volume of the solid of revolution formed by rotating the region under the graph of…

A: Given y = ( x5 - x ) from x = -1 to x = 0 as we know that volume of solid obtained ny revolvind the…