In x dx, N = 8

Q: 34. Book Collection Between 1980 and 2000 a rare book collec- tor purchased books for his collection...

A: Complete the table for book collection between 1980 and 2000 Note that the collector purchased books...

Q: Use the rules of differentiation to find the derivative of the function             h(x) = 8/5x4

A: Given hx=85x4

Q: Verify the identity: sin3θ = 3 sin θ - 4 sin3θ.

A: To prove, sin3θ=3sinθ-4sin3θ

Q: Convert the angle 5π/3 in radians to degrees.

A:

Q: Rewrite each expression without absolute value bars: a.  |√3 - 1| b. |2 - π| c.| x |/x if x< 0.

A:

Q: Sin 5 theta/sin theta=16cos^4 theta - 12 cos^2 theta +1

A: Given: sin5θsinθ=16cos4θ-12cos2θ+1

Q: Given vectors A = 2a, + 4a, + 10a, and B = - Sa, + a, - 3a,, find (a) A + B at P(0, 2,-5) (b) The an...

A:

Q: In the exercise 2x2 - 4xy + 5y2 - 36 = 0, Solve, If the graph of the equation is an ellipse, find th...

A: Given The equation of conics  is 2x2 - 4xy + 5y2 - 36 = 0 .

Q: Manipulating Taylor series Use the Taylor series in Table 11.5 to find the first four nonzero terms ...

A: Given that, fx=xtan-1x2 And in table 11.5, tan-1x=x-x33+x55-x77+...            ...(1)

Q: Write the equation in its equivalent logarithmic form: ey = 9.

A:

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: Use the graph of f to find the y-intercept, Where applicable, use interval notation.

A:

Q: çosh x Points of intersection Find the points at which the curves y = and y = } intersect (Figure 7....

A:

Q: Find the exact value of sin 7π/12 using the fact that 7π/12 = π/3 + π/4.

A: Given:sin7π12

Q: Solve the equation x2 = 18 + 3x.

A:

Q: A curve C is given by the polar equation r = f(θ). Show that the curvature K at the point (r, θ) is

A: A curve C is given by the polar equation r=fθ. We have to show that the curvature K at the point r,θ...

Q: d 1 In(In x) = dx 11. x Inx

A: It is given that,ddxlnln x=1x lnx We have to prove it.  

Q: Graph using intercepts: 4x - 3y - 6 = 0.

A: Given 4x - 3y - 6 = 0

Q: x ex dx then I34 + 34 133 =,..,... If In= 0. %3D Select one: O Zero O 33 e O None O 33 O 33 / e O e

A: In = ∫01xnex dx

Q: QUICK CHECK 1 Which of the following limits exist? lim 3ry? (x, y)-(1, 1) а. b. lim 3xy? (x, y)-(0, ...

A: (a). To check whether limit exists: limx,y→1,13x12y2. Evaluating the limit. limx,y→1,13x12y2=311212=...

Q: Find the area of the surface given by z = f (x, y) that lies above the region R. f(x, y) = ln∣sec x∣...

A:

Q: Identities Prove each identity using the definitions of the hyperbolic functions. 2 sinh (ln(sec x))...

A: We have to prove the identity using definition of hyperbolic function: 2 sinh lnsec x=sin x tan x We...

Q: Mark and Jessica started a rumor. After t hours, it was observed that n people have heard ofu rumor....

A:

Q: A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. 10 cm Зст 5cm Ex...

A: The volume of a sphere is given by  .So the volume of a hemisphere will be half of the volume of a s...

Q: Let f (x, y) = 9e2xy what is fryx (x,y) =? %3D

A:

Q: Solve the system below for x(t) and y(t). 2dx/dt +dy/dt − x − y = 1 dx/dt +dy/dt + 2x − y = t

A:

Q: The logistic equation models the growth of a population. Use the equation to (a) find the value of k...

A: Since you have posted multiple subparts of a question, we will solve only first three subparts for y...

Q: At what point does the line r(t) = (6- 3t)i + (-2 + 2t)j + (-1- 3t)k intersect the yz-plane %3D O a....

A:

Q: what is 2+2  what 4x5 what

A: 2+2 is 4   This is a simple addition. 

Q: Use Laplace transforms to solve the initial value problem x"+ 4x = 0; x(0)= 5, x'(0)=0

A: Consider the provided initial value problem, x''+4x=0,x0=5, x'0=0 To solve the provided initial valu...

Q: Use properties of limits to find the indicated limit (as shown). It may be necessary to rewrite an e...

A:

Q: verify that the given function is in the kernel of L. Q. y(x)=xex, L =−D2+2D−1.

A: given that  y(x)=xex

Q: Find functions ƒ and g such that h = ƒ ∘ g. a. h1x2= sin 1x2 + 12  b. h1x2=1x2 - 42-3  c. h1x2= ecos...

A: a) Evaluate f and g: Given that, h=f∘gh(x)=f∘gxhx=fgx And hx=sinx2+1 So hx=sinx2+1fgx=fx2+1 Hence  g...

Q: You have 120 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle t...

A: we have been given the perimeter of the rectangular region : 120 feet we have to find the dimensions...

Q: What are linear equations ?

A: GivenLinear equations

Q: Sketch the region enclosed by the given curves andfind its area.       y =4 x 2  -1    , y =   cos  ...

A:

Q: The graph of a logarithmic function is given. Select the function for the graph from the following o...

A: We can see from the graph function has value 0 at point x=3 and 1 at x=1 Now, we can see from the op...

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.