7) Determine the volume of the solid of revolution formed by rotating the region under the graph of y = x5 - x from x = −1 to x = 0 about the y-axis.

Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

A:

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

A:

Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

A:

Q: en the graph below, solve the following inequality: g(r) > 0 +10 + 80 9 8 7 -8-7-6-5-4-3 54 6543 2…

A: Given query is to solve the inequality.

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: The rational function 310t V(t)= t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

A: The rational function is given as  V(t)=310tt+2 The changed function of the velocity is…

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is…

A: Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: he function y = omain tercepts ymmetry 2x+3 x+2 do the following.

A: we will find the required.

Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

A:

Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

A:

Q: 2. Find an equation for the tangent line to the cycloid z = =e+3, y = 1²e-3e + 2 at the point where…

A:

Q: All of the functions below are invertible, except for one of them. Find the function that is not an…

A: a function is invertible only if each input has a unique output.

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

A:

Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

A:

Q: Express the following limit as a definite integral. n 1 lim Σ -Ax where P is a partition of [2,4]…

A:

Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x

Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: Find a power series representation for the function. (Give your power series representation centered…

A: Solve the following

Q: (n^ + n)(n^ − n) = (n)H = H'(u) = Differentiate.

A:

Q: The function w(z) represents a package's corresponding weight in grams when the package's weight is…

A: Given query is to find the meaning of the inverse function.

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin(2x), g(x) = cos(x), -…

A: Please see the below picture for detailed solution.

Q: Let C be the curve f(x) = the length of C, as follows: (1) Calculate f'(x). In(x) 2 - 4 between 1…

A:

Q: Consider the function below and its graph shown to the right. 1 -t if- 10 ≤t<0 f(t) = X F(-10)= Let…

A: Consider the function below and its graph shown below.ft=14t  if -10≤t&lt;0t22  if 0≤t≤10Let Fx=∫-5x…

Q: 4. Find an equation of the tangent plane to the surface z = xy+8 xy-2x at the point (1,1,–10)

A:

Q: Write a polynomial with a leading coefficient of 1, degree 3, that has zeros at and x = − 5. Write…

A: Given query is to find the polynomial.

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: Find the values of sin(0), cos(0), and tan(0) at the given points on the unit circles in the figure…

A:

Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: Find the derivative of: 7 sin² ( – 2xº).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The marginal cost function C'(x) was defined to be the derivative of the cost function. If the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

A:

Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

A:

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A: Given query is to find indicated angle.

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x-2) (x - 1)(x + 2) dx || y = X > 2

A:

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

A:

Q: 13) y = [X²+2x-1'; dy = ? A) X+ Xt y B) 4y (x+1) (XH) (x²+2x-1) 3/2 D) - () ㅗ 2\x²2x-1

A: Question number 13 solved

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: Find dy/dx by implicit differentiation. 7x²y + 4y²x = -1 dy/dx =

A: Given query is to find derivative.

Q: 1) Let an = 3+2(n-1). Write the first 5 terms of an. Find Σ10% ακ k=1

A:

Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

A: Given query is to find the value of tanA.

Q: Consider the following functions. f(x) Find (f + g)(x). = g(x) = Find the domain of (f + g)(x).…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined.

Q: Write the sum without sigma notation. Then evaluate. 6 Σ sin kn k=2 Write out the sum. 6 Σ sin kn =…

A: Given series ∑k=26sinkπ

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

A: