3. Find the volume of a solid of revolution generated by revolving the region under the line 2x +1 for 1 < x < 2 around the x-axis. Draw a picture of this solid.

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Q: Problem 1 Solve the following basic calculus problems: d (e* cosx dx а. b. Jy**dy d? c. Show: dx d…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Eveluete Khe definde lategal 3 In C) doc

A: To evaluate the integral.

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A: Given query is to find the integral.

Q: 2. Determine the derivative of g(t) = 8*[(2t + 1)² + t].

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A: This question can be solved using the concept of general equation of ellipse.

Q: 10) Calculate a lower sum for f(x) = 2x + 5 over the interval [0, 2] using 4 rectangles. %3D

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Q: 3 Evaluate lim et dt. e-t dt. 20 O a) -2 O b) 2 e O) 2 O d) 2 e e) None of these

A: Giveen query is to find indicated limit.

Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

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Q: Question Find the Taylor polynomial p3(x) for f(æ) = 5x1/3 at x = 3. Provide your answer below:…

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Q: Evaluate the triple integral. Then, on your paper, sketch the solid whose volume is expressed by…

A: We can solve as follows

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A: The position s of a point in meters,   s=73t2-1t; t=1

Q: Find the area under the curve y = 6x° over the interval [0, 2]|

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A: Given the query is to find the length of the wire.

Q: 13. sec*0 sin 8 de

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Q: acceleration due to gravity.) x(t) = ft

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Q: Given the rate law and table below, what are the values of m and n? Rate = k[A]m[B]" [A] (M) [B] (M)…

A: Given,

Q: er each series is conditionally convergent, absolute (-1)" n n! c) E n'+1 2 '100"

A: We have to find the nature of the series according to the given information

Q: Calculate the first, second, and third derivatives of y(x) = 3x'. (Use symbolic notation and…

A: We can find the 1st, 2nd and 3rd derivative as below.

Q: The function values f(x) in the table below is increasing for 0 < x< 12. 0 369 12 f(x) 34 35 37 42…

A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

Q: घा 13) convergant or Divergant A) Each tem is less Ehan that of a converget Bach tem is less Anon…

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Q: Question Suppose f is continuous on [3, 10] and differentiable on (3, 10). If 5 <f'(x) < 8 for all…

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Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

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Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

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Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

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Q: Find the area of the shaded region shown in the graph. y-13 sin e 13 cos x The area of the shaded…

A: Given: Let us first find the common element.            13sinx=13cosx⇒13tanx=13⇒tanx=1⇒x=π4

Q: 0.75 3 0.50 4 0.75 A) Rate = k[A] B) Rate = k[A]? C) Rate = k[A][B] D) Rate = k[A]?[B] E) Rate =…

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Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.1, P(A U B) = 0.1.…

A: Solution - Given:-  P(A U B) = 0.1 ,  P(B) = 0.1  P(A) = ?

Q: In a circle of radius 38, find the length of the arc spanned by a central angle 4 radians. Round…

A: Given the query is to find the arc length.

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Q: Question 4 Solve the initial value problem: y'= - 0.03y + 6 y(0) = 50 |3D %3D y(t) = %3D Question 5…

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Q: • F(x)=x2 -7x+20, g(x)= 2x+6.

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

Q: Jessica is staying in a cottage along a beautiful and straight shoreline. A point Q on the shoreline…

A: Solution: Let Jessica start to swim after walking x km from the cottage as shown walking speed = 6…

Q: 1. Find the derivative of f(x) = 3x³ + 2x using the limit definition.

A: We have to find derivative using definition.

Q: y' = xy – Vx

A: Solving

Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: we have to check stability of critical points

Q: A Moving to another question will save this response. tion 7 /2 Given f(x) = sin(x2) on [0, n/2],…

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