The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the larger one is x =

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 7/7/7/72 dy= (3x72xx)dx y =…

A:

Q: 0.5 for A mortality table is defined such that¸p¸ ={1— x100. Calculate the complete expectation of…

A: Answer is 40.

Q: 1 2 ¹/² (²1-5) dz. Write a limit using summations that would equal

A:

Q: The surfaces p= 3 and 5, p = 100° and 130°, and z = 3 and 4.5 identify a closed surface. (a) Find…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let a = . Find al. Check Answer

A: Given a→=<5,-1,-4>To find: a→

Q: 5. (y4 - 2xy) dx + 3x² dy = 0; when x = 2, y = 1.

A:

Q: 3x³-28x² +40x-42 3x² - 4x+5 dx

A:

Q: 3. xy = a², y = 0, x = a, x = 2a.

A:

Q: Evaluate the triple integral -3pi D x dV where E is the solid bounded by the paraboloid x = 6y² +…

A: Solution is given below:

Q: State whether the given sums are equal or unequal. 20 20 Aj and ke j=1 k=1 O Unequal O Equal > Next…

A:

Q: (b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

A: Given problem:- If fx=x-1 is now restricted to domain x≥1, find f-1x and state its domain and range

Q: 5. Which of the following functions grows the slowest as x goes to infinity?

A:

Q: Problem 1. You are fencing in an area next to your house so your cats can lounge outside. The cat…

A: We have given the length of material that is avialble for fencing is 27 feet.

Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

A:

Q: A.Given the following functions, find the general solution, the value of the arbitrary constant…

A:

Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: Σa_₁ (-_^_-) n² 'n n+1 Select one: O True O False is convergent.

A: To determine whether the following statement is True or False.∑n=1∞ nn+1n2 is convergent.

Q: у 7. y' +²√y = 0, y(1) = 0 - x

A:

Q: Find the acceleration vector for the position vector r(t) = (sin(11t), 4tº, e -2t). x component = y…

A: We need to find acceleration vector.

Q: 6. What are the restrictions on the variable for a) x #8 b) x # 4 c) x # 2 d) None of the above 8 2x…

A:

Q: Find the area of a triangle PQR, where P = (-4, -2,-2), Q = (-5, 2, 5), and R = (-2,5,-4) Check…

A:

Q: Find the domain of f(x) = √6x +9

A:

Q: What form of the particular solution is appropriate for the differential equationy "'- y'=4? A B C D…

A: To determine the form of the particular solution that is appropriate for the differential equation…

Q: 2 8. y' + ²y = -x²y² cos x

A:

Q: 2. a. b. C. f(0) = lim f(x)= x-0+ lim f(x) =

A:

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

A:

Q: Use the graph of ƒ (x) = x² below to find a number & such that x² − 1| < 0.5 whenever 0 < |ï − 1| <…

A: The graph of the function fx=x2 is given To find the value of δ such that x2-1&lt;0.5 whenever…

Q: Find the radius of convergence, R, of the series. R = 00 I = n = 1 xn n45n Find the interval, I, of…

A:

Q: For y=5x^−2+8x^−3−7x−4, find dydx.

A:

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Given: ∫05|10x-5|dx

Q: 2. Consider the parallelogram ABCD where A(0,1,2), B(1,2,3), and C(0,3,5). [2] a) Find the…

A:

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A:

Q: dx b) √ COS √x cos(1-√√x) 818

A:

Q: What is the perimeter of an equilateral triangle inscribed in a circle with a diameter of 20 cm?

A:

Q: Sketch the region enclosed by y = ¹, y = e, and x = 1. Find the area of the region.

A:

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Given f(x)=1xa=1

Q: f(x) = 3 x³ Y g (x) w X -

A: Concept: Area between the two curves: The definite integral of one function, such as f(x), minus the…

Q: Evaluate [/FO f(x, y, z) ds. f(x, y, z) = xy Z S: z = x² + y², 9 ≤ x² + y² ≤ 81

A:

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

A:

Q: Solve for the X 10=[ (1+6x)/7]^5x/6

A: I am attaching image so that you understand each and every step.

Q: 3. The graph below represents f(x). a) State the number of stationary points and label them…

A:

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: 1. cos50 sin³0 de TL 2

A:

Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

A:

Q: Evaluate the limit. Note: Enter two 'o's to make infinity (oo). 1 [ In(t-2) lim e³-t Check Answer

A: Given problem:- limt→∞4t,e3-t,1lnt-2

Q: Evaluate the Integral using the following values. -206 [³x² dx = 260, [°x dx = 10, [° dx = 2 (22-7x…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 13 –…

A: Concept: Area between the two curves: Let y=f(x) and y=g(x) be the curves and a and b are two…

Q: The regions A, B, C, D, and E in the figure below are bounded by the graph of the function f and the…

A:

Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

A: