11. 1 dx converges, so the series converges. x(In x)2

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region bou...

A: We first sketch the region using a graphing calculator.     

Q: I need help with 21

A:

Q: Calculus Question

A: 1

Q: Let f(x) be the function x + 5 for x 2.

A: Let f(x)=x+5 for x<-1               =cx for -1≤x≤2                =x+6 for x>2 To find the val...

Q: Show that if a>-1 and b>a+1 , then the followingintegral is convergent.

A:

Q: Using a Differential as an Approximation f(x, y) = x cos y, find f (2, 1) and f (2.1, 1.05) and calc...

A: the given function is z=f(x,y)=xcosy  

Q: Find the surface area generated by rotating the given curve about the y-axis. x = 9t2,    y = 6t3, ...

A:   Given:x=9t2,y=6t3,0≤t≤5about y-axis

Q: Draw the angle -2π/3 in standard position.

A: To Draw: Angle -2π3 in a standard position. Concept: i. Co-terminal Angle: Co-terminal angles are an...

Q: zoom for a better view

A:

Q: 4. Solve the following differential equation: (x² – y") dx + 2 xy dy = 0.

A: We can solve this Differential Equation using Substitution method: Given :             (x2-y2)dx+2xy...

Q: Find the degree of the polynomial. 3x2 - 5x + 4

A: 3x2-5x+4

Q: 8e3% + 4 If f(x) find the inverse function. 5e3z + 9 f1(x) =

A:

Q: a winch of radius 5 ft is used to lift heavy loads. if the winch makes 8 revolutions every 15 s, fin...

A:

Q: Explain the best way to evaluate 900!/899! without a calculator

A:

Q: Tangent vectors Find a tangent vector at the given value of t for the following parameterized curve.

A: Given parameterized curve is rt=2t4i+6t32j+10tk Differentiating the given parameterized curve with r...

Q: At what point on the curve y = [ ln (x +4 ) ]2

A:   Consider the curves, y=lnx+42  

Q: Power and energy The total energy in megawatt-hr (MWh) usedby a town is given by where t Ú 0 is meas...

A: We have given Et=400t+2400πsinπt12 (a)The rate of energy consumption or power, Pt=E't  Now different...

Q: determine the general solution to thegiven differential equation. (D − 4)(D + 2)y = 0.

A: To determine the general solution of given differential equation: (D-4)(D+2)y=0

Q: Evaluate the following integrals.

A:

Q: A = 2a, + 4a, + 10a, and B = - 5a, За, %3D

A: Part (a) At point P(0,2,-5). ρ=x2+y2+z2=0+4+25=29 ϕ=tan-1yx=tan-1(∞)=π2   Transform the vector -5az+...

Q: Determine whether the function's vertex is a maximum point ör å mll + x- y = 9 O The vertex is a max...

A: a) The given expression x22+x-y=9 Since the coefficient of x2 is positive, therefore parabola opens ...

Q: Solve the equation using the quadratic formula. 14x - 4 = 7x² %3D

A: The given quadratic equation is    

Q: zoom for a better view

A: Given: The paying amount by corporate bond is $3000 and time taken is 12weeks with simple interest 0...

Q: Find the derivative of the function. y = 3√(6x2 + 1)

A: y=36x2+1

Q: I need help with 17

A: Given : f(x)=|x-2| Graph the given f(x) by making a table Assume some x values and find out f(x) Abs...

Q: In Exercises 45–48, calculate the derivative using the values: f(4) f'(4) 8(4) g'(4) -1 10 -2 5

A: Calculate the derivative F'4,wher F(x)=x2f(x)We are given f(4)=10f'4=-2

Q: Find the derivative #39

A:

Q: Let f(x) = 2x - 5. g(x) = 4x - 1, h(x) = x2 + x + 2. Evaluate the function f(g[h(1)]) without findin...

A: given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 the given expression is: fgh1

Q: A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.2x + 7400, 0...

A: Given:   C=0.2x+7400,  0≤x≤50,000             R=110,00068,000x-x2 ,     0≤x≤50,000

Q: Integration review Evaluate the following integrals.

A: We have to evaluate I=∫lnw-17lnwwdw Let substitute  u=lnw-1 Differentiating both sides with respect ...

Q: 14 please

A:   Given:∫x4+5x3+20x+16 x(x2+4)2dx

Q: Use the Binomial Theorem to expand the binomial (x2 + 2y)4 and express the result in simplified form...

A: the given expression is: x2+2y4  

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. xe269x dx U...

A:

Q: Frozen-Food Revenue Some of the frozen foods that Joe's Specialty Foods sells are pesto pizza, spina...

A: Given: A=5020154075203560100,B=3.505.754.25 To determine: a) Product matrix AB. b) Total revenue for...

Q: Sketch the region D between y = x2 and y = x(l - x ). Express D as a simple region and calculate the...

A: Given that, y=x2 and y=x1-x To sketch the region bounded by above two curves is,

Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter UN...

A: Given:  xy-3y2=6 ,      11,3

Q: Sets in polar coordinates Sketch the following set of points. 4 ≤ r2 ≤ 9

A: Given that 4≤r2≤9

Q: Find the first partial derivatives of the function. f(x, t) = Vx In(t) fx(x, t) = %3D f(x, t) = %D

A:

Q: Find an equation of the tangent to the curve at the given point. x = 5 + t2 − t,    y = t2 + 4,    ...

A: Consider the given functions: x=5+t2-ty=t2+4 Formula for equation of tangent line is given by: y=y1+...

Q: Find the first partial derivatives of the function. 4x – 7y f(x, y) = %3D 4x + 7y A(x, y) = Wx, y) =

A:

Q: zoom for a better view

A: Given  $2700 is deposited quarterly for 20 years at 4% per year.  

Q: Trigonometric limits Use Theorem 3.10 to evaluate the following limits.

A: Given that limθ→0cos2θ-1θ. Compute the limit as follows.