= x³ and What is the volume of the 3D region, whose base is the region between the curves y = y = √, and the cross sections are squares.

Q: Consider the funtion f(x)= 7x+1/2x-1 a)Determine the simplified first derivative and use it to find…

A:

Q: Determine whether the graph in the figure is the graph of a function. 29. YA X

A: We have to check whether graph is a graph of a function or not.

Q: Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,…

A:

Q: Question 8 What are the domain, range, and period of the function f(θ) = –3cos(–2θ)? Answer in…

A:

Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

A:

Q: Solve the following equation using the method of undetermined coefficients. d^2y/dt^2 + dy/dt − 2y…

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: Find the critical points in the domain of the function f(x) = 9x³ – 8x. Enter the exact answers in…

A:

Q: Find the critical points in the domain of the function f(x) = 7x³ - 6x.

A:

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 1 +e²+ = f(1) = 7+e f'(x)=1+e*+

A: Given: f'(x)=1+ex+5xf(1)=7+e We are required to find: f(x)

Q: Quadratic equations are not nol in the form f(x) = ax²+bx+c to find (h, k). Begin by completing the…

A:

Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

A: Determine a vector equation of the line that passes through the origin and is parallel to the line…

Q: 2. (By partial fractions} Answer: In |x|- 1 x+1 +C ·x² + 3x + 1 x(x + 1)² dx

A:

Q: Please solve this 100% Correctly and ASAP. Thank you Find the slope of the tangent to y = 5-x at the…

A: Given function is y=5-x We have to find the slope of tangent at y=0.2

Q: Please solve this 100% Correctly and ASAP. Thanks, A wall of height 12 m stands parallel to and 30 m…

A:

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where…

A: Given that :-       ∇f=8z,4y3,8x  ⇒∇f=8zi^+4y3j^+8xk^  ....(1) Now we know that…

Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. What…

A: Given, To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. Then…

Q: 10 a) Find the simplified form of the difference quotient for the function f(x) = b) Complete the…

A:

Q: If land that can be farmed L is eroding continuously at a rate of 4.5% per year because of changing…

A: “Since you have asked multiple questions (a and b are not related to each other), we will solve the…

Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

A:

Q: The federal tax rate for heads of household is given in the graph shown to the right. Use the graph…

A: We are given a graph of a function rx.We need to find the following limits:limx→8297-rx,…

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines  [x, y, z] =[-2,3,-3]+t[1,-1, 2]  ----(1) and   x=3-t y=-5+ 2t…

Q: Lines intersect in a point in two-space but do not intersect in three-space. True False

A:

Q: 1. In three-space, find the intersection point of two lines ₁ = (−1,1,3) + t(1,2,-2) and r₂ = (5,3,…

A: The point of intersection of two lines is a common point on both lines, it has same x,y and z…

Q: What is the partial fraction decomposition of the function 2x+4 x² (x²+4) ?

A: The given function is:

Q: Q5 Use the graphs below to fill in blank for Q(5.1)-Q(5.6). Write DNE" for Does Not Exist" or NEI"…

A:

Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

A:

Q: Determine the slope and the equation of the tangent to the curve f(x) = sin(x) + sin(x) at X = π

A: The curve is fx=sin2x+sinx at x=π.To find : Determine the slope and the equation of the…

Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: 2 e3t cos(400nt) 8(t – 1)dt

A:

Q: x7-9

A: We know that the integral of x^n dx= x^(n+1)/(n+1)

Q: (b) x = on the interval 0 ≤ x ≤ 9; about y-axis. ² X=

A: The surface area of rotatint the curve about y axis⇒S=2π∫cdgy1+gy2dy

Q: 7. Sketch the region enclosed by the given curves and find its area. y = sin x, y = cos x, x = 0,…

A:

Q: Taylor Power Series 5. Find the first 5 terms of the power series Σ (-1)^(n+1)(x-2)^ 222 'n=0

A:

Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: A sphere is given having a hole and we need to find out the volume of the resulted solid.

Q: What present value amounts to $358,312.09 if it is invested for 5 years at 16% compounded…

A: What present value amounts to $358,312.09 if it is invested for 5 years at 16% compounded…

Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

Q: 2x 4. If x = (1, -2, 7), ³ = (0, 5, 1), and z = (1, 1, -2), then what is the value of a. 6 12 b. 7…

A:

Q: Find the area of the given region. y = sin² πx y 1.0- 10.5 y=sin² лx 0.5 1.0

A: Area below the curve is the definite integral of the curve in given limit of region

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: Compute the improper integral 1 x ln(x) -dx if it exists. If not, select DNE.

A: We have to find the improper integral.

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A:

Q: Find the derivative of the function. f(x) = 5x²1n 3x

A:

Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

A:

Q: The decibel level of a sound is given by the equation D = 1010810 ( where / is the sound's intensity…

A: The Decibel level of a sound is given by the equation  D = 10log10( II0  )  I is the sound intensity…

Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A:

Q: A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

A: Initially sand present in bucket = 15 kg,Bucket leaks 0.2 kg/m sand when it is lifted.