1 2х + 5

Q: Find all the critical points of f(x) = 4x³ – 3x. %3D V3 z = V3 x = 0

A: The given function f(x)=4x3-3x

Q: Use the method of cylindrical shells to find the volume of the solid formed by revolving the region ...

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Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.

Q: ev dx 1 Vx

A: We have to find the given integral.

Q: Direction: Find the derivative of the function. 1² + 3z + 2 z² – 3z + 2 Select one: -6 (z² – 2) (z –...

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Q: Activity 6: You are testing an electrical device which can be modelled by the following equations: I...

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Q: please

A: Please refer to the image below

Q: (36 – x² \dx Evaluate the definite integral:.

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Q: | Vx In x dx; u= ln x, dv = \x dx

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Q: only 8 please

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Q: 3. Find the domain and the range for the following functions: a) f(x) = -2(x+3)^2+4

A: Given function,f(x)=-2(x+3)2+4The domain of a function is the set of input or argument values for wh...

Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

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Q: Consider the function below. Use it to find the following limits. ² – 49 F (x) |r – 7|

A: Given that: F(x)=x2-49|x-7|

Q: Dur heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 ee...

A: Given query is to find the rate of change of height of water in the room.

Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

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Q: (3) Find an equation of the tangent line to the curve y = 2x² + 3 that is parallel to the line %3D 8...

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t - 9t + 19, wh...

A: Given: s=t2-9t+19 For (a), (i) [3, 4] Average velocity = s(4)-s(3)4-3=-1-11=-2. (ii) [3.5, 4] Averag...

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Theorem(s). please sle...

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Q: Which of the following graphs represents y = 3sin(2x)? /2 3n/2 2x 32 O A O B y y MAP /2 72 3x 2 -1 3...

A: Solving the problem by finding the correct graph.

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cote O 21/20 O -20/21 ...

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Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

Q: Simplify and evaluate. cos 70° cos 25° + sin 70° sin 25°

A: Answer: The solution is as shown below:

Q: Find the length s of the arc that subtends a central angle of measure 40 degrees in a circle of radi...

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Q: 3. Given r(t) = 12ti + 5cos tj + 5 sin t k , find the unit binormal vector and torsion

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Q: . Find the domain of the inverse of the function f(x) = −3√4− x  + 5.

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Q: Let y – 8y + x² = 8. Use implicit differentiation to find the derivative. Find the tangent line at (...

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Q: -2

A: To find the given limits from the given graphs.

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) = -bx...

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

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Q: nd all valuesx=a where the function is discontinuous. For each point of scontinuity, give (a) lim f(...

A: Given the query is to find indicated limits and discuss the continuity of the function.

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

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Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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Q: etermir nine whether the following (a) E:

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A: Given:  An environmental study in a community shows that the level of a certain pollutant in the air...

Q: 6x° + 8x² + 45x +36 Consider the indefinite integral 2' + 9x2 Then the integrand has partial fractio...

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Q: Find the average rate of change of the function over the given intervals. f(x) = 8x +8; a) [5,7], b)...

A: We have to find average rate of change of function.

Q: COS TTX

A: As requested we can solve no 5 as below

Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: s Vã(4 – x)dx

A: Given: I=∫19x4-xdx We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx, ...

Q: For problems # 16 £17 to Find the requested derivative Use implicit differentiation ln (x y) x +9 fi...

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Q: The value of tan is -1 1 undefined

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Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: Do vectors (2,0,1) (-2,0,0) and (2,3,0) lie in the same plane? Explain your reasoning

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Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r= 72.22 in, 0= ...

A: This is basic problem on angles solution is given in the next step

Q: Evaluate the integral. (Use C for the constant of integration.)

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Q: +x² xp

A: We will evaluate the given integral as shown below

Q: Direction: Find the derivative of the function. Select one: 의 o o

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...