Evaluate the following integrals. Express the final answer in its simplest form and without negative exponents. 3. S(3x6 + 7x5 – x* + 11x3 - x2 + 15)dx

Q: 1.) Explain why the integral below is an improper integral and what two integrals tell us whether it...

A:

Q: dy tan5 2x sec4 2x %3D

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)

Q: 1-coskx 2. lim = 0. kx

A: We have to find the limit of the function (1-coskx)/kx when x tends to 0 . 

Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4), y(t) = t2 and %3D dW z(t) = 3 - t....

A: Derivative using product rule

Q: What is the equation in standard form of a hyperbola if the coordinates of the foci are F;(3, – 5), ...

A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,...

Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 9), y(0) = 0 y

A:

Q: 5. A certain vessel is full of pure alcohol. Five liters are drawn and replaced by water. After mixi...

A: Topic:- algebra

Q: (1 point) Let h(x) = f(x) · g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact valu...

A: Find your answer below 

Q: Find the area inside the circle r = 7 and outside r = 7+7sin 0. NOTE: Enter the exact answer, or rou...

A:

Q: Suppose that x = x(t) and y = y(t) are both functions of t. If x2 + y2 = 25, and dx = 2 when x = 3 a...

A: Given that x=x(t) and y=y(t) are both functions of t . If  x2+y2=25           ..(1) Differentiate eq...

Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

A:

Q: DETAILS LARCALC11M 9.6.044.MI. Use the Root Test to determine the convergence or divergence of the s...

A: Let's find. 

Q: ne demand function for a company's product is p = 24e-0.59 where g is measured in thousands of units...

A:

Q: Find the solution to the initial-value problem. y' = 2xy(1 + 3y), y(0) = −1 y =

A:

Q: у-ахis 7 6+ 5- 4- 3. 2 x-axis -3 -2 -1 1 2 3 4 5 6 7 What is the equation in general form of the par...

A:

Q: Write down the matrices representing the linear transformations f satisfying the fol- lowing propert...

A: We have to write matrix representation of the linear transformation f.

Q: 3 + 4х? — 9а — 36 y = – 9x — 36 4а? + 28х + 48

A:

Q: lim x²+3 lim x→2 (2x + 5) lim 2 x-)9 2 lim 2x2 + 2x-4

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1 f(x...

A:

Q: Find the open intervals on which f(x)= x^4+8x^3 is increasing or decreasing. Find the critical value...

A:

Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: A depositor opens a new savings account with $5000 at 8% compounded semiannually. At the beginning o...

A: Let's find. 

Q: хр %3D хр if y = In(7x2 + 6y?). Ap %3D Find seng OM

A:

Q: %3D %3D Find the area of the region enclosed by y = 4e", y 9e- and x = 0. 7. 5- 2- 1+ 0.1 0.2 0.3 0....

A:

Q: etermine whether the geometric series is convergent or divergent. If it is convergent, find the sum....

A:

Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

A:

Q: (a) Find an equation of the tangent plane to the surface of z = ye(3ry-y²) at (-1, –3, –3). (b) Give...

A:

Q: y = x²(x – 5)²

A:

Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

A:

Q: Use separation of variables to find the general implicit solution to the differential equation. 9  d...

A: Given:       9 dydx=eysin2θysecθ

Q: For f(z) = 20, find using the definition, f(z+ Az) - f(z) = lim Az0 Ay dy = lim Az0 Ar da Az (a) Fir...

A:

Q: Determine the function f satisfying the given conditions. f'(x) = -sin(x) f (7/3) %3D = 3.5 f (x) = ...

A:

Q: Find the solution to the initial-value problem. dy dx = y2ex sin(7x), y(0) = 1

A: Given:    dydx = y2exsin(7x)       ,   y(0) =1

Q: Let F(x , y, z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of si...

A:

Q: Which of the following pairs of functions below do not form a fundamental set of solutions to the eq...

A:

Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: A manufacturer has a steady annual demand for 10,850 cases of sugar. It costs $7 to store 1 case for...

A:

Q: Suppose g is a function which has continuous derivatives, and that g(2) = 5, g'(2) = –5, g"(2) = –1,...

A:

Q: M. F. Given the equations y = Inx +1 on the interval 1 <x< 2, set up but do not evaluate the integra...

A: We have to find the surface area.

Q: Consider the function f : R → Rj, f(1) = (x – 4)°. Complete the following: fis because the equation ...

A:

Q: "The differential equation d2y/dx2+9y=seny is ordinary, linear, and second-order." Is it true or fa...

A: here in the given differential equation the dependent variable is x and independent variable is y he...

Q: A man on a boat is located at point B on the waters, 200 meters from point A on the shoreli Line seg...

A:

Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,...

A:

Q: Find dyldt of y = sin (cost) and simplify. °v=- 1-t2 -t -Cos t Cos t y =

A:

Q: _8_3z Find a simplified series representation of z°ez Σ answer = n=0

A:

Q: For the given p-series, identify p and determine whether the series converges. -6/5 k=1 p = . Theref...

A: Given∑k-6/5k=1∞

Q: Write an inequality with x isolated on the left side that is equivalent to the given inequality. Mx ...

A:

Q: n! h) E п n3' n=1

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: lim) X+7 9 lim (2th) 2_2? h-70 lim coS X X-70 lim 4-x2 X-> 2 3-TxZ+5

A: