Cors ider the function. tx) - x-2 (a) Find the Imverse function of. (b) Graph f and on the same set of coordinate axes 1 -3-2 1 3. -3 -2 1 3. 5 6 7 -2 -21 -3 3 2 7-6-5-4 -32 -1 -7-6-5 -4 -3 2 -1 2 3 (e) Describe the relationshlp tetween the graphs. The graphs of rand are relectiens or cach other across the ine (d) State the domain and range ofendrEnter your answers using interval nictation.

Q: For the following graph of a function, estimate the area under the curve in the interval [-5, 1]…

A: Given interval [ - 5 , 1 ] divide in 3 interval △x=1-(-5)3=2 -5 , -3 , -1 , 1 For midpoint…

Q: dy If y=u? and u = x3 + 4 determine dx

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Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine the…

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Q: Supply the missing integrand and limits of integration. (3x² – 2xy + y³) dx dy = .dy (36–4y)dy (56–…

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Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

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Q: Complete the table and use the result to estimate the limit. Use a graphing utility to graph the…

A: Here we have to find the value the limit of the given function using table values.

Q: Evaluate the integral (show clear work!): xsin x dx

A: Use formula of integration of parts method

Q: Determine whether the Mean Value Theorem can be applied tof on the closed interval [a, b]. (Select…

A: Given function  f(x) = x /(x - 25)          Let's check mean value theorem.

Q: (26) Let f(x) = x²e=. For what value(s) of does f(x) have a horizontal tangent?

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Note that the work done here can be given by: W=∫abρπr2h where ρ is the density, r is the radius and…

Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: A spring has a natural length of 15 inches. A force of 10 Ibs. is required to keep it stretched 5…

A: for F = 10 , x = 5

Q: D9/2.c

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Q: 1 3c+6+2 J +3z+2 Evaluate:

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Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: x(x^2+1)y'+2y=(x^2+1)^3

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Q: Let f(x) =- 9x2 Determine the intervals on which f is increasing and decreasing.

A: Given: f(x)=x44-2x3+9x22 To find out if a function is increasing or decreasing, we need to find if…

Q: Find the differential dy of the glven function. (Use "dx" for dx.) y = 3Vx + dy = Submit Answer

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Q: Determine whether the SEQUENCE converges or diverges. If it converges, find the limit: 3x n+4n-V5…

A: If the limit of the sequences is finite then it is convergent.

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: Find the area of the following shape, 212 2/2 9/2

A: We have to find the area of the given shape

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: topic - indefinite integration

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. sin 0 = 5…

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Q: Find the Rlemann sum for f(x) = x + 3x over the Interval [0, 8] (see figure), where %3D *. = 0, x, =…

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Q: 3n 3. Find the exact values of the circular functions whose 0 =- 4. Identify the other five…

A: Here we have to use the concept of trigonometric ratio.

Q: 1 lim xcosx Xcos x

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Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: 4-x 16-x²-y2 Fx*+y° dzdy dx

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Q: Convert to a rectangular coon 12. (3,*)

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Q: and

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Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or-m, enter INFINITY…

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Q: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A: This question can be solved using the concept of limits.

Q: Given that sin a = and cos b = -, and a and b are in the interval , ), find sin (a + b) and cos (a -…

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Q: Find the Indefinite Integral. (Remember to use absolute values where appropriate. Use C for the…

A: The integration of the integral is  (2x2+3x-6)/(x-4).

Q: Supply the missing integrand and the limits of integration ... CT/2 c2sin e r cos²0 dr de de •x/2…

A: Question- Supply the missing integrand and limit of integration.

Q: x (t) = 4 sin t ly (t) = 4 cos t %3D

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Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

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Q: (22) Find the derivative of f(2)

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Q: Determine the interval of convergence of the power series: , n!(4x - 28)" A. A single point x = 28…

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Q: Find the particular solution of the differentlal equation that satisfles the Initlal condition(s).…

A: First integrate and satisfied given condition

Q: B. Find the volume of the solid generated when the plane region bounded by 4. y =, x = 1, x = 4, and…

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Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

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Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…

A: We have to find the rate if change if rectangle area.

Q: 1 (27) Evaluate the integral: (5t + 4)2.7

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Q: Find the Integral. (Use C for the constant of Integration.) dx

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Q: Evaluate: sin 6x sin 3a da A. 0 в. - В. 2 C. - :- С. 2 D.

A: SOLUTION-