G.2 SE25 Apply fimpsen's rule to find the valke of Sdx dividing into A equal parts. 4 -89521

Q: Find out all the relative minimum and maximum values, and sadle points of the function h defined by…

A: Here we have h(x,y)=x3-3x+3xy2 .............................................. (1)

Q: Use the Alternating Series Test to determine whether the alte S(-1)k+1_ k 7k + 8 00 k k = 1 Identify…

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Q: 3 6. Work Problem 3 (e ): v1 = 0 |, U2 = 02 vectors from %3D 1 a) [' Determine if the vectors {v1,…

A: Vector

Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te-3t +…

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Q: If f(x, y) = y cos(x) – x³ In(y), find the second partial derivative dy dx

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Q: Obtain the general solution unless otherwise instructed 2. у" — у' — х — 0 SUMMARY OF ANSWERS 2. Yc…

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Q: 12 – r|, 2. Suppose f(r) = {0, if a > 2 if r = 2 14 – 22|, if r < 2. (a) Find lim f (x). z+2+ (b)…

A: a)limx→2+ f(x)=limx→2+ 2-x=limx→2+ 2-2 =0b)limx→2-  f(x)=limx→2- 4-x2=limx→2- 4-4 =0

Q: 11

A: As per policy only first question is answered. Please refer to the image below

Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: Directions: Read the problem carefully and answer the questions that follow. The population of a…

A: Topic:- exponential growth function

Q: 17) y"+2y'+2y= 0, y(0) = 0, y'(0) = 1.

A: Topic = Differential equation

Q: 1) Find the volume of the solid under the surface z = 2x + y and above the region bounded by y = x°…

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Q: 1 .! Determine if the vectors 0 and 1 span R³. -2 3 Can these three vectors form a basis for R.

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Q: inal the @ e w and cone an ave cof the Cuarve?

A: here i am providing my hand written solution

Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

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Q: Find the composite functions (f o g) and (g o f). What is the domain of each composite function?…

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Q: Vx2 – 2x – 3x 4. lim 4х + 5 I -00

A: Answer Number (4):  To evaluate the given limit without using L'Hospital's rule.limx→-∞x2-2x-3x4x+5

Q: 1- v extends from (0,0) to (-3,2). Vector W extends from (0,0) to (-3,5). a- Find the magnitude of V…

A: This is a problem related to vector. Based on the general formula and concepts we will answer the…

Q: For | cos 3x cos 4x dx :

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Q: Find the area of the triangle whose vertices are given below. A(- 5,3) B(2,– 5) C(10,- 5) The area…

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Q: 2. S

A: Given :∫xdxx2-4x-7

Q: Determine if the sequence {an} converges or diverges. Find the limit Lif the sequence converge. an =…

A: We have to determine whether the given sequence an converges or diverges. Also, find the limit L.…

Q: Find the minimum and maximum values of the function y = 8/x2 + 1 – 7x on the interval [0, 8] by…

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Q: Suppose that f is defined everywhere and 1 are the only critical numbers for f. If f"(x) = 2x + 1,…

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Q: れ ポ+n3 lim (nj)2 + n4 j=1 n-00

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Q: Consider the function g defined by 1 g(x, y) : = cos (Tx T) + log3 (x - y) Do as indicated. 1.…

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Q: 31) Find a company's total-cost function if its marginal cost function is C'(x)=5x2-7x+4 and C(6)=…

A: Marginal cost function of a company is given is , C'(x) = 5x2 - 7x + 4  Also C(6) = 260 We have to…

Q: Evaluate the integrals for 16 sin²x cos²x dx

A: ∫16sin2xcos2x dx=∫4(4sin2xcos2 x) dx                                 =4∫(2sinxcos x)2 dx…

Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: What is the critical point?

A: The objective of the question is defination of critical point.

Q: Using integration, derive the Laplace transform of: * L(sinh at)

A: This is a problem related to integration. based on the general formula and concept we will answer…

Q: (x+68y)e dydx %3D 1J0

A: This is a problem related to double integration. based on the general formula of integration we will…

Q: C. Determine whether each of the following is true. 1. 7 ≡ 12 mod 5 2. 3 ≡ 24 mod 7 3. 33 ≡ 15 mod…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Prove that 17 is the only prime number of the form n- 64.|

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Q: 2x2 If we approximate f(-/4.1,/49.1)' Suppose we have a surface f (x,y) ,which of the following is…

A: I have appended the formula used in the solution part.

Q: Find the series' radius of convergence. (x -3)n (an)! n=1 0o, for all x 00 O 2 O 1

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Q: Given f'(a) < 0, what do we expect is true for f(a +0.5) ?

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Q: Find the volume of the solid in R' bounded by y = x2, x = y?, z = x + y + 27, and z = 0.

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Q: 1.. Determine the equation of th a) -3 36 -2 26 1 16 1 -4

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Q: Obtain the general solution unless otherwise instructed (D5 + D4 – 7D³ – 11D² – 8D – 12)y = 0…

A: In this question we will find CF only as PI part is 0

Q: (y In a In y) dr + dy = 0 O In In y| + x Inx +x = C O In y = Ce" r* O y = eCe*z* O y = eCe*z ts)

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Q: 13) y"+7y'+12y = 21e", y(0) = 3.5. y'(0) = -10.

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Q: Implicit Curves a Consider the 2 implicitly-defined curves 5y - 2a + y - a?y = 0 and 2y + 5æ + a -…

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Q: ind the area of the triangle whose vertices are given below. А(0,0) B(-4,3) С(3,1)

A: answer is in next step

Q: 20) dx 1 19 A) 6. B)= D) 9/2

A: I=∫12 t8-t4t6 dt=∫12 t2-t-2 dtformula: ∫ xn dx=xn+1n+1+C  =t33-t-1-112  =t33+1t12    =83-13+12-1…

Q: lim [f(x) – (x + 1)] = 0 • f is R\{2, –2} • f(1.5) = f(3) = 0 continuous • lim f(x) = -∞ on lim…

A: Given:-   To find:- Determine the intervals where the graph of f increasing/decreasing and concave…

Q: Find the local extrema of f(x.y) =x²+y³+3xy and determine whether they are local maximum, minimum,…

A: To solve the given extrema problem.

Q: Find the solution of each inequality in the interval [0, 27). (Enter your answers using interval…

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Q: Express the number as the ratio of two integers. 0.8333333 ... 3 3

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