Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-ads. y=x² +5, y = 3x+5

Q: The volume of a cylinder is given by V = r²h. Approximate the percent change in the volume when the…

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Q: Use l'Hôpital's lim x→0 lim X→0 Rule to find the following limit. 3 sin (x) - 3x 3 4x³ 3 sin (x) -…

A: limx→03sin(x)-3x4x3

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A: we have to find out the absolute minimum and maximum for the function on the interval [0, 2].

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Q: Find the Taylor polynomial P3(x, y) of degree three of the function f(x, y) = sin(xe") at the point…

A: Given function:- fx,y=sinxey

Q: In a certain environment, a colony of bacteria grows according to the model A = Age0.18t, where A is…

A: given  A=A0e0.18tA0 is initial number of bacteria given A0=250

Q: Find the volume formed by rotating the region enclosed by: y = 5√x and y = x about the line y = 25…

A: Given that  y = 5√x  y = x  about line y = 25

Q: Given that k is an arbitrary constant, find the orthogonal trajectories of the following family of…

A: We need to find out the orthogonal trajectories of the family of curves for the given equation.

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x²-x -x-In(x) (a) Find…

A: Given function is  f(x)=x²-x-lnx

Q: Use l'Hôpital's rule to find the following limit. lim 3x²e-x X→∞ lim 3x²e¯x = (Type an exact…

A: I am attaching an image so that you understand each and every step.

Q: The population (in millions) of a country in 2007 and the expected continuous annual rate of change…

A: Given : k= - 0.006 P(7) = 2.3

Q: → → Find the dot product between vectors a and b, given →→ →→ → d=3i-jandb=2i+j+4k

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Q: tank is full of water. Find the work W required to pump the water out o T 1 m Ť 4 m 12 m 4 m

A: The volume of the water of thickness '∆x' at height of x from the bottom.  In △CGB & △CFEFE∥GB.…

Q: Blanche has recently inherited $7900, which she wants to deposit into a savings account. She has…

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Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts method

Q: How long, rounded up to the nearest year, will it take me to become a millionaire if I invest $3,000…

A: Given data Principle, P= $ 3000 Interest rate, R = 12 % Time in years = t Amount, A = $ 10,00,000

Q: Shown in the table is a runner's speed at various times. Use this data to sketch a curve relating…

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Q: x²-x-3yx+3y lim (x,y)-(3,1) x²-9y² This option

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: The given equation is;  3x2+xy+2y2-71=0.

Q: integral. Sketch the solid whose volume is given by the integral below, and evaluate the TL "4 2π…

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Q: A lamina occupies the part of the disk x² + y² ≤ 36 in the first quadrant. Find its center of mass…

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Q: (()* 2 2) y = 5. 20 18 16 14 12 10 y

A: We need to draw the curve.

Q: Use this data to sketch a smooth curve relating the two variables. 2) Draw rectangles on the graph…

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Q: Given x + y + z = 2 and Po(0,0,2), find the following. (a) Find the equation for the tangent plane…

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Q: Compute if dx Y = (ex² +7³) cosh5 (ln x) F (π + e)e²+ cot-¹(5x²)

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Q: Find the future value of the following annuity due. Then determine how much of this value is from…

A: As per the concept of annuity:FVA=P1+rkn×k-1×1+rkrk          Equation 1   Here:FVA=Future value of…

Q: The profit function of a business is given as P (x) = −x2 + 54x + 70. How many units must be sold to…

A: Please see the below picture for detailed solution.

Q: A couple from New Orleans needs $33,527.72 as a down payment for their first home. If they invest…

A: As per the concept of compound interest:A=P1+Rkn×k          Equation 1   HereA=Final value of…

Q: Consider the following. Find g'(x). g'(x) = g(x): = In(x) - 1 In(x)² X In(x) Solve g '(x) = 0 for x.…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: The graph of f(x) is shown (see figure). 7x f(x)= (a) Find the following limits. L= lim f(x) = X→ 00…

A: Given: The given function is: fx=7xx2+9 The given graph is:

Q: Consider the following. Find g'(x). g'(x) = g(x): = X In(x) In(x) - 1 In(x) ² 2.72 Solve g'(x) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: Consider the following cost function: C=0.3q³-3q² +70q+150. When output is 18 units, average cost is…

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Q: Find y' and y". y = (²+ √x)³ 3

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Q: Find the point of intersection (xo. yo. Zo) of the lines given as: L₁ L₂: Xo = Yo = Zo = i x = 6+t,…

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Q: J exp (x+3) dr

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Q: (Q2.) Solve the following. 1. Verify that y = e2 is a solutions of the following differential…

A: Please see the below picture for detailed solution.

Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

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Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

A: Solution: So. the intersection point is x+3=(x-3)2 x + 3 = x2 +9 -6x x2 +9 -6x -x -3 =0 x2 -7x…

Q: Consider the following function. t(x) = 4[1] Step 2 of 2: Find the length of the individual line…

A: .

Q: Find the angle between vectors →→ →>> →→ à = 37 = 3i- j and b = 2i+j+ 4k to the nearest degree. ,…

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Q: Find the value or values of c that satisfy the equation the given function and interval. f(x)=√x-5,…

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Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(3, 8, -2). NOTE: Enter…

A: The directional derivative of the function f in the direction of u is: Duf=∇f·uu

Q: 3. Determine the intersection (if any) of the following planes. Show your work clearly ₁: 2x + 3y z…

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Q: For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value…

A: f(x)=-5  ,  x=0-x2+x+a,  0<x<1given f(x) satisfy hypothesees of mean value theorem there for…

Q: Sketch the graphs of the functions f and g. f(x) = 9x², g(x) = 2x + 3 -10 O 5 hty Ay X 5 10 -10 -5 5…

A: Area

Q: Verify whether the function f (x) = −x² + 10x 16 satisfies the conditions of the Mean Value Theorem…

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Q: QUESTION 2 Which data set (graph A or B) shows a greater power? A B M W Ograph B Ograph A neither…

A: Please see the below answer.

Q: 6) f(x)=3 20 18 16 14 1 2 y х-2

A: NOTE: Refresh your page if you can't see any equations. . to graph the function, we need a few…

Q: Find y' and y". y': y" = y = (²+ √x) ³

A: SOLUTION-

Q: Find the indicated limit. Make sure that you have an indeterminate form before you apply l'Hôpital's…

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