Find the volume of the given solid over the indicated region of integration. f(x.y)%3D4X+5y+7; R=((x,y): -2SXS2, 2sys3) What is the volume of the region? 3. units

Q: (-1)" Given: power series > (x + 1)" 2n2 +5 n=1 Find the interval of convergence of the power…

A: To find the radius of convergence we will find first limn→∞an+1anthen equate it to less than 1

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A:

Q: 1. Evaluate the following integrals. 1 1. -d.x J #(9 – In² x)5/2" |

A: Follow next step

Q: Graph the function. Show at least one period. 15) y = 2 sin (2ax - 3)

A: the graph for given function is attached below:

Q: x2-1 1- S (Solve it using integration by partial fractions) x2-16

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: O E. The series converges for p> (Simplify your answer.)

A:

Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

A:

Q: LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4Dª – 45D² – 70D – 24)y = 0

A:

Q: In a certain year, 89% of all Caucasians in the U.S., 75% of all African-Americans, 75% of all…

A:

Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

A:

Q: which values of x are the eigenvalues of 4 х 9 repeated?

A:

Q: A window is in the shape of a rectangle surrounded by a semicircle. If the perimeter of the window…

A:

Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

A:

Q: II. Consider the sequence (n + 2)! n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Given

Q: Which of the following is the general solution of the separable equation, dy/dx = 12x³y? A. y =…

A:

Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy…

A: f(x, y)=5xy2x2+y2A)Domain f(x, y)The function is defined everywhere.Domain: (x, y) ∈ (R×R)

Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A: Answer and explanation is given below...

Q: an = In(n+1) – In(n) for n E N determine if the following is convergent or divergent { an } n=1

A:

Q: homogeneous

A: We have to solve the given differential equation according to the given information

Q: Find the polar eauation for Hhe curve Cartesianm eavation. represented by the given 2.

A:

Q: S dy =2/y- 5inlVỹ+ 5| + c Vy +5 A True B) False

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

Q: For the series below. (a) find the series' radlus and interval of convergence. For what values of x…

A:

Q: The side lengths for AABC below are a, b, and C. The height of AABC is h, Fill in the blanks using…

A:

Q: п(х-2)" Consider the power series 3" (2п-1)3 n=1 Show that the power series converges when x = 5.…

A: the given series is n(x-2)n/[3n(2n-1)3].

Q: 2 f(x) ; а3D0, Ь%3D1 1+ x %3D

A:

Q: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2

A: The given data is: t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2 To…

Q: Suppose f(x) is a function that satisfies the following conditions: f(15) = 20, f' (15) = 2. Also…

A: Using definition of derivative.

Q: Convert dzdydx Into an integral of spherical coordinates 6coso S6 SR psinødpdød0 psinødpdøde Option…

A:

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: х2 — бх + 9 dx V6x – x2

A:

Q: n Vy(x- y) + y² + 6

A:

Q: Q3) Evaluate triple integral N S dz dx dy. x-y

A:

Q: 1 In solving the antiderivative of f(x) = 2- 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx To find: ∫f(x)dx We know that, sinx = 2tanx21+tan2x2

Q: 2. Evaluatef dx. A. x+ C В. х C. -x + C : Antidifferentiation D.-x 3. Addition: Subtraction as A.…

A:

Q: 1. Evaluate the integral. -1 (6х — 12) dx

A: To evaluate the given integral.∫3-16x-12 dx

Q: A model created by an engineer is represented by the following multivariable functions w = reyz x =…

A:

Q: 3- Vn 3 n=1

A: Convergent

Q: sequence

A:

Q: What is the shortest distance from the point (4,0, 5) to the sphere (x – 1)2 + (y + 2)2 + z² = 36?…

A:

Q: x² – 6x +9 dx 6x – x2

A: Here we have to find the integration.

Q: Q3) Evaluate triple integral , * dz dx dy.

A:

Q: 2. Consider the sequence (n+2)!. n=1 a. Show that the given sequence is monotone. b. Use the…

A:

Q: **....... A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000…

A: we have to find length range for the given rectangle.

Q: Find the complete solution of the differential equation using separation of variables dy 2х + 2ху?…

A: Given

Q: Find a polar equation for the curve represented by the given Cartesian equation. 9. a? + y? = 25

A: Given equation x2 + y2 = 25 To be found : Polar form.of given equation.

Q: Please answer both items. Thank you so much!   Activity 1. Use a directed line to represent the…

A: Given,            v = (-2,3),           u = (-3,-4)

Q: Question For the function f (x) given below, evaluate lim f(x) and lim f(x). X00 X-00 V2x8 + 3 f(x)…

A:

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). x00 X→ー0 f(x) = -5x - 3x + 2 cos…

A:

Q: Q2) Solve the D.E xdy + (2y – x4 + 3x)dx = 0

A: