4x 1. Зу': y? %3D

Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the x-...

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Q: 5xyz dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), and (1, 0, ...

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Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)>03t2-60t>03t(t-20)>0

Q: 8. f(x) = (2x - 3)(6x – 2)10

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Q: The sum of one number and three times the second number is 48. What will be the maximum product of t...

A: Given that the the sum of one number and three times the second numberis 48.Our Aim is to find the m...

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: Suppose the infinite series > am is divergent. Then for any real number c, the series ca, is also di...

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Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

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Q: If (an)? – (an-1)(an+1) = (-2)" for n>1 and ao = a1= 1 then az = a ) 0 b) 5 c)-3 d) 1 e) none a b. o...

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Q: Find the solution of y" +10y +25y = 49 e with y(0) 8 and y' (0) = 5.

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Q: Change the Cartesian integral into an equivalent polar integral. 2 2 a -x 00 S SO dy dx = dr de 2 2 ...

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Q: he directional de -) = 3x?y -4xy 3x², 2. %3D ne giu divection gie

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

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Q: This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter spha...

A: A)n(t)=n0 2taAt t=0,n(0)=1515=n0 20n0 = 15The bacteria doubles every four hours;At t=4 hours, 2(15) ...

Q: Consider the following. 1+ e2x + 1 = 15 (a) Find the exact solution of the exponential equation in t...

A: Topic = Algebra

Q: Question 3 If f(x)=cos x, then f"(x)= O cos X

A: f(x)=cosx,f'(x)=ddxcosx=-sinxf''(x)=ddx-sinx          =-ddxsinx          =-cosx  

Q: Af(x)

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Q: Question Select your answer. Find the equation of the tangent line of f(x) = x2 + 5x at x = 2. y = 1...

A: A detailed solution is given below

Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

Q: +00 (2n)! E(-1)"- 2" n=1 O divergent O convergent

A: The objective is to find the convergence or divergence of the series. 

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f (x) In(3 - 2.x) b) Fi...

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Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

Q: Let f be a differentiable function such that f(4) = 3 and f'(x) = -3x + 3. What is the approximation...

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Q: A Construct the perpendicular bisectors of the following segments. B. Construct the angle bisectors ...

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Q: Find (f-1)'(a) for f(x) = 4 – 4x when a = 12. %3D Enter an exact answer. Provide your answer below: ...

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Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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Q: Question 33 сm The figure above shows a right triangle with dimensions in centimeters. If 0 = 41°, w...

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Q: ſcos (x/2) cos (x/3) dx * 3/5 sin(x/6) + 3 sin(5x/6) + C None of the choices 3/5 sin(5x/6) + 3 sin(x...

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Q: Evaluate the following integrals (x2 — х)2 dx 1. x3

A: To evaluate: ∫(x2-x)2x3dx

Q: Find the area of the surface obtained by rotating the curve y : sin x from x = 0 to x = 1.4 about th...

A: Given region bounded by y= sinx  from x=0 to x=1.4 

Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: 2. Suit Sales The number of suits sold per day at a retail store is shown in the table, with the cor...

A: We need to find mean, variance, standard variation.

Q: Analyze ( find the relative extrema, inflection points) and trace the curve y = x3 - 3x2 - 9x + 5.

A: Given function f(x)=x3-3x2-9x+5

Q: 1/2 dx r2)2

A: Given problem:-

Q: Let f be a differentiable function such that f (2) What is the approximation for f(1.8) found by usi...

A: Given query is to find the value of f(1.8).

Q: -b 5dx If 1 48x2 + 1 = 2, what is the value of b? А.) 2 В.) 4 C.) 8 D.) 9

A: We can find the value of 'b' as below.

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty +...

A: The standard form of a first-order differential equation is dydt+g(t)y=h(t)or, y'+g(t)y=h(t)      .....

Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + ...

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Q: If the following is a geometric sequence, find r and an. 1 1 3, 18, 108 12' 2' Select the correct ch...

A: The given geometric sequence is: 112,12,3,18,108,...

Q: A company estimates that it will sell N(x) units of a product after spending Sx thousand on advertis...

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Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

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Q: x2 dx | (a3 + 2x²) da 3 + 3x2 + 1 dæ

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Q: Evaluate the limit. 2x5-128x2

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Q: Let > an be an infinite series. Choose the correct statements below. O If >, am converges, then >, J...

A: The objective is to choose the correct statements.

Q: Question 213 + 412 - 6t-3 for t2 0, where t is 3 A particle travels along a horizontal line accordin...

A: Given:-s(t)=-2t33+4t2-6t-3   for  t≥0velocity, v(t)=ddt-2t33+4t2-6t-3 v(t)=-2t2+8t-6

Q: +00 2n determine the interval of convergence of (-1)"+1 n3 + 2 n=1

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Q: Question 3 If lim an = 0, then the series a, is convergent. n=1 True False

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...