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Q: Create a bucket by rotating around the y axis the curve y=4ln(x−5)y=4ln(x-5) from y = 0 to y = 9. If...

A: Given: Create a bucket rotating around the y-axis the curve y=4lnx-5from y=0 to y=9.If this bucket c...

Q: Write the Partial Fraction Decomposition of the given expression. 3x+5 (x+7)2

A:

Q: True or False The figure shown is the graph of the function h. Identify if the statement is True or ...

A: The function is continuous in closed interval [a,b] when three conditions are satisfied. The functi...

Q: Definite Integrals

A:

Q: (a) C in the xy-plane, oriented counterclockwise when viewed from above. SaF. dr = (b) C in the xz-p...

A: Given,

Q: 109,115

A: We will use the simple definition of odd function and even function to show tangent function is odd ...

Q: In the following exercises, find the work done by force fieldF on an object moving along the indicat...

A:

Q: Use the given information to find the indicated probability. A ∩ B = ∅, P(B) = 0.3, P(A ∪ B) = 0.3....

A:

Q: Evaluate fc(-5zi + 5yj + 6xk) · dr, where C is a circle of radius 4, parallel to the xz-plane and ar...

A:

Q: 29. A craft store sells fabric pieces in lengths measured in fractions of a yard. The line plot belo...

A:

Q: The​ y-values for which x=1 are 3, -2 a) The tangent line at (1,3) is ____ b) The tangent line at (1...

A:

Q: explain 3a and b

A: objective is to find the limit.

Q: 4) Use L'Hosp9tal's Rule to find the limits c) lim tanx)) メ→0 d) lim (ex + メ メ→ o

A:

Q: Find the derivative

A: The function is given by y = x2+x3 To evaluate : The derivative of the function.

Q: ) consider the function A() - 2 - - 3 %3D e Find x- intercept if exists A Find intervals at which cu...

A: Given function is : fx=2-3x-3x2 

Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the sq...

A: Area of square = a2 Where a is length of side of square.

Q: Solve the following first-order differential equation shown in the image (exact equation).

A: The given differential equation is a exact differential equation, see attached file for a step by st...

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x' + 12x² – 27x + 8 ove...

A:

Q: Consider the functions f(x) = - 3x + 4 and g(x) = Vx + 2 . Determine each of the following. fo g(x) ...

A: We will use concept of composition of 2 functions. 

Q: Let g(t) = Vt -4 a. Make two tables, one showing the values of g for t= 15.9, 15.99, and 15.999 and ...

A:

Q: Find the slope of the tangent line to the curve 4.x + ry - 4y = 72 at the point (-4, - 1).

A: Given that: Curve is :   4x2+xy-4y3=72 at point (-4, -1)

Q: |Consider the function f(x) = x* – 32x² + 5, -3 < x < 9. Find the absolute minimum value of this fun...

A:

Q: Let h be a differentiable function with domain (-00, 0) U (0, ∞). Suppose we know that h(1) = 2 and ...

A: The solution are next step..

Q: Pls pls help on all of these question pls i beg.

A:

Q: FRQ 2

A: g(x) = ∫1xf(t)dtg(x) = The average rate of change of  g from x=-5 to x=5g(x) = g(5) - g(-5)(5)-(-5) ...

Q: Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.7, P(A ∩ B) = 0.0...

A: The objective is to find the value of P(AUB)

Q: Definite Integrals

A:

Q: consider the function ()=2- 3 clearly draw the graph. Show asymptotes if any. Label intercepts, rela...

A: f(x)=2-3x-3x2

Q: 3. The model below represents an equation. Which value of x makes the equation true? A. X=4 C. x =- ...

A:

Q: Question 17 %24 Assume the position of a person traveling along a straight hiking trail is given by ...

A:

Q: Evaluate the integral. sec 0(sin 0 cos 0 + cos 0) de Jo

A: Let I=∫0π/2secθsinθcosθ+cosθdθ

Q: Definite Integrals

A:

Q: I only need part D, thank you.

A:

Q: 9.

A:

Q: Let g be a differentiable function such that g(1) = 3. We have computed its derivative as x2 g' (x) ...

A: Given that g be a differentiable function such that g(1) =3  Derivative of g(x) is g'(x)=x22sinπx2

Q: Evaivate Sinct) V Itcos (t)

A: to find:- given integral function.

Q: Gs the aoliacent Pigure is a cogular hexagong with Canber o, awel in it ŌB=b 20A - %3D a write the v...

A: Given,

Q: Solve the following first-order differential equation shown in the image (separable equation).

A:

Q: Rewrite each conic equation in standard form. Sketch the graph, including asymptotes, focus, vertice...

A: amswer is given below.

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 1아 (7,8) 8 6...

A:

Q: Ir 9- ((2, y) | 2553,1SyS 3): D then: dz dy = %3D

A: Given D={(x,y)|2&lt;=x&lt;=3,1&lt;=y&lt;=3}

Q: -8x Find an equation of the tangent line to the graph of y = xe' at the point 8 y = Need Help? Read ...

A: We kow, the equation of tangent line to the graph f(x) at the point (a,b) is given by,y-b=f'(a)(x-a)...

Q: Series Condition 3

A: Solution is here

Q: Ty= 14,223250 M H.099448 %3D for 2. dx Estimate the emr in approximetion.(round to oix deumal > How ...

A:

Q: Calculus Question

A: We can solve this ulfunction using second derivative

Q: 4B

A: [4B] *concept:- d/dx{cotx} = - csc^2{x} d/dx{x} = 1 d/dx{x^{n}} = n*x^{n-1}

Q: can you help me solve this? is integration by partial fractions (don't forget the steps)

A:

Q: The path of a bottle rocket is shaped like a semi-ellipse. The maximum height of the rocket is 80 fe...

A:

Q: For the position function s(t) = - 16t + 104t, complete the table shown below with the appropriate a...

A:

Q: consider the functions f (x) =5/x and g(x)= x/x+2 A) evaluate and smiplify (f+g)(x) and state the do...

A: fx=5x,  gx=xx+2 f+gx=fx+gx f+gx=5x+xx+2 f+gx=5x+2xx+2+x2xx+2 f+gx=5x+2+x2xx+2 f+gx=5x+10+x2xx+2 f+gx...