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Q: Consider the function. x+ 7 x) - (a) Find the imverse function of r. X-1 (b) Use a graphing ublity t...

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Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

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Q: Eväluate the following. 1. ſ csc?dx 5

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x = y? + 2y – 1 ...

A: To find the volume.

Q: .3 9. dx dy y2

A: Find the double integration. 

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Q: ng in such a way that its radius is decreasing at a rate of 0.3 cm/min. At wi wball decreasing when ...

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Q: aracters. * mine the slope of the tangent line to the graph of f(x)=-- at the point (4,-4).

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Q: fcac) fCre)ニ2x+5

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Q: Find the centroid (, j) of the region bounded by: . y = 3x + 8x, y = 0, x = 0, and x = 6 %3D y =

A: The given problem is solved below in detail.

Q: Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B) Co...

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Q: Select ALL possible answers if there is more than one. (3-2x ifx<2 [3x-7 if 2sx' Which of the follow...

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Q: Given F(x)=2f(xr)-g(x) and f(-1) = 2. f'(-1) = 3,9(-1) = -5,9'(-1) = 4, find F'(-1). %3D %3D

A: We can find the answer as below.

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A: The given limit,      limx→0tan xsin 2x

Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

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

Q: DO NOT include spaces in between characters. Type your answers in the following order and format: a=...

A: Given query is to find the value of a and b.

Q: Find the volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x = 4, abo...

A: The given problem is solved below in detail.

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 1+ is...

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Q: dx (apply the properties on how to solve improper integrals 1 – x²

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

Q: Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

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Q: Find the volumes of the solids generated by revolving the region between y= 4x and y = about a) the ...

A: Solved below

Q: 11 Find the area of the region bounded by y = x² + 2x – 1, y = + x x = -3, x = 1. 2

A: Area between curves

Q: Rewrite the following integral using substitution: s8 (1+3x)?dx

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Q: If f(a) = 7cot- * +2, then find the value of f(-4) is, 17

A: Given query is to find the derivative and indicated value of x.

Q: alculate the curvature of the vector function when t=0.1: 7(t) = (e", V2t, et)

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Q: 1 dx (2х + 1)4, 8

A: Given query is to find integral converges or diverges.

Q: V3 7. arctan 3.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: dx 4 (2x+1)1 01

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Q: 1 ==(² + 2) from y = 0 toy = 5. Find the exact arc length of the curve x = %3D 3 Enter the exact ans...

A: The curve x=13y2+232 from y=0 to y=5

Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

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Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives 

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A. Continu...

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Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i+ 5j. NOTE: Enter the exact answer...

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Q: 1. lim 10 2x+1 2. lim X2 *-1 3. lim 4. lim f(x) if f(x) =- if x 2-1 if x>0 if x s-1 if x>-1 5. lim f...

A: Since you have posted multiple questions as per our guidelines we are allowed to answer first three ...

Q: ne graph of y =- have a horizontal tangent line? +9

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Q: Let a = ci + j and b = 2i + 10j. Find c so that a and b are orthogonal. c =

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Q: az az Find and e = 5x 2² + sin(r + 2) – y?.

A: Find the partial derivative of z with respect to x and with respect to y respectively

Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is. dx

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Q: In (1.06)

A: answer of given question is in step 2

Q: de spaces in characters. * 4 Find the value of f'(-1) if ƒ (x)=- (3r² – 2.r + Your answer

A: Topic:- derivatives

Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is dx x2 y? x2 x2 No OO O

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Q: From the following results, determine whether the function 2x +9, r 9 f(x) = 6. is continuous at = ...

A: Solve for the continuity for the function

Q: The integral of t2ln t with respect to t is; A (3ln t-1)+C B ®(3in t-1) +C none of the given choices...

A: Given: The integral of t2lnt with respect to t

Q: Given the functions x = d²y 3t2 + 4t and y = sin 2t, find dr2

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Q: Use integration by parts to evaluate the integral:

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Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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Q: Evaluate: S,(3y6 + 8y* – 9y?)dy -2

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Q: Which of the following best describes the function below? S (x)={* -4 ifx<2 Wr-2 if2sx if 2<.x A. Co...

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