Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct answer. 27 27 π π (143√143-1) 142√142 1 145 145-1) (144√1441) 3 y = x³,0 ≤ x ≤ 2

Q: Find h'(x) when h(x) = (3x + 1)³, then evaluate h'(x) at the point (1,64)

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A: Solution is given below:

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A: As per Bartleby guidelines rule I am answering only first question as all questions are different…

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Q: Simplify:- 16--// 5 2

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Q: I need to solve the integral

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Q: 10 نقاط * Find the Laplace Transform Q3\ to the following function L sin2t cos3t

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A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

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Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: 3. Find the solution of the following system of liner inequalities by graphing: (K + 2y > 5x + 3y…

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Q: Evaluate the following integral using inversion of order: So ²5 dyda Remember to show complete…

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Q: solve 2x+1 = x2

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Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: (x²+1)³ .dx

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Q: 14. Find the volume of the tank shown below. 1.10 m | 1.48 m 4.25 m

A: Concept: Area of the segment: A Sector is made up of an Arc and Two Circle Radii. Together, these…

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A:

Q: Problem 11.4. Find all local and global extrema of the following functions in the indicated regions…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Y=(3x+4)² find dy/dx

A: Y=(3x+4)² find dy/dx

Q: 8 Given g(x) = -2x³ + x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g(-x). 8 (-x) =

A: We can solve the question as below.

Q: The value of the definite integral 2 [₁²³4x² is Select one: O 15 O none of the others O 14 O 16 SO…

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A: We have to evaluate ∫sin2x cos2x dx.

Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

A:

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A: To find out the double integration.

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A: We have to simplify the expression  1 - cos4θ2.

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A: The given integral is ∫3x2+4x3+4x+1dx

Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

A:

Q: In x dx

A: Solution:  Step_1  :       ∫ln x dx we will solve it by using integration by parts method.

Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: The radius of a circle is increased from 2cm to 2.03cm find approximately increase in area

A: Solving using differentiation

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A: The objective of the question is evaluate the indefinite integral.

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A:

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A: We have given a center and radius of sphare

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Q: A) estimate the area of the graph of f(x) = 25 - x² From x=0 to x=5 using approximating rectangles…

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Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A: Solution given below

Q: x cos 3x dx

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Q: Problem 3. Solve below definite integrals In(x) (e) (²) dr. (d) In(r) dr. * -dx, 23 Т

A:

Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

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A:

Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

A: Given that : An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of…

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A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: The evaluation of 2xe¹³ dxdy is 3e-1 O e-3 O e-1 O None of them O -3e C

A: Topic = Integration None of them