Write the augmented matrix of the given system of equation X+y-z = 8 3x – 4y = 2 5x + 2y - z = 4 The augmented matrix is

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: 1. In a study of Laguna State Polytechnic University students, 55 had taken Mathematics subject, 105…

A: We need to solve by using Venn diagram. NOTE - As per Bartleby's guidelines we can solve one…

Q: I. Show that the function f defined by (r, y) = (1, –1) f(r.y) 2 + y (x, y) # (1, -1) is not…

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Q: Evaluate the integrals in the following questions using integration by parts For O cos T0 do

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: Given first and second derivatives on the graph

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

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Q: | csc² 20 cot 20 de

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: 3. If water bottles are geometrically similar, how much more water will a bottle that is 50 cm tall…

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Q: Consider the function g defined by 1 g(x, y) = cos (Tx VT) + log3 (x – y)" Determine

A: We can solve this as follows:

Q: So 0 cos r0 do

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Q: Find the differential equation having as solution of y = x sin(xtc) .

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Q: Let D be the solid unit cube: 0 < x < 1, 0 < y <1, 0 < : < 1. Let S be the closed surface boundary…

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Q: Both pictures are same question!

A: Given radius=8  and angle is 65° we need to find the area of the sector A The area of the sector of…

Q: Evaluate the integral of F(x,y) = x^2 y^3 in the rectangle with vertices (5,0);(7,0);(7,1);(5,1)…

A: We have to evaluate the integral of F(x, y).

Q: Work Problem 1 ( Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the…

A: As per guidelines, I can answer only one question and maximum three sub parts of a question. Since…

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: Evaluate sech(3 – 2y)" dy

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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: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x2 + y (x, y) # (1,–1) r + y is not…

A: To show that the function f defined by fx, y=1, x, y=1, -1x2+yx+y, x, y≠1, -1is not continuous at 1,…

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: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Consider the two series: 2n + 3 (а) n² In n n=1 00 1+ (n – 1)! (b) E n! n=1 Which of the following…

A: 1) Hee, note that the first series first term it self a infinity.

Q: Find all solutions to the equation. 2 sinx- cosx=1 Write your answer in radians in terms of t, and…

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Q: 3+1 f(r) = 4r² – 1 g(x) = h(1) = VI 2т + 1 13. (f - 9)(г) Sz3 + 4x? – 3r – 4 (A) 2т +1 8r3 + 4r? – 1…

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Q: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

A: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

Q: Q/ For the function shown bellow; find dyldx using Chain rule 4 2x + 4)ª ||

A: The function is given by y = 2x+44 To evaluate: The derivative of the function using Chain Rule of…

Q: If D is the triangle with vertices (0,0), (55,0), (55,49), then dA=

A: double integration

Q: Find the integral. 4 25) x4 In 2x dx C) 391.74 D) 466.83 A) -202.72 B) 384.91

A: This question is based on integral by parts.

Q: Evaluate the following integrals. Show all the necessary or complete solutions. 3/2 4. S x²ca²- x²)…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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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: Evaluate the difference quotient fla + h) – fla) for the function f(x) = 2x²- 3. 4а + 2h 4а + 2h - 6…

A: Given: f(x)=2x2-3

Q: Solve limp2 23 –4x2 +4x 3x4 –12x3 +12x2 -

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Q: (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the area under the graph of the function over the interval given. 18) y = 2x +7; [1, 5] A) 18…

A: We can find the area as below.

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

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Q: An object is being heated such that the rate of change of the temperature T in degree Celsius with…

A: Here we have to use the Runge-Kutta 4th order method

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Q: 6 Evaluate the limits lim: X+ co X 6.

A: Topic:-   limits and continuity

Q: 5Sine cose do 4. Sin²e+ 3sine - 4

A: Given problem:-

Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

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Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: Part (2) Double Integration in Polar coordinates: 1) Find the area of the region cut from the first…

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: Evaluate the summation 7-i. 22 25 18

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Q: A ball is dropped from a height of 64 feet. Its height above ground t seconds later is given by s(t)…

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Q: Set up UP the integrel the Pegioni Th bounded 2x2 and y =l+ x F(x,y) dA in by: y= 2x? 2. 4.

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Q: Q28- The value of e-(In+1 )n is a) (-1)" e--1 b) (-1)"e" c) (-1)" e-+1 d) (-1)" e-"

A: We have to find value of  e-(in+1)π

Q: "he following series is convergent: (8")(10") (7")(9") + 1 n=1 elect one: OTrue OFalse

A: Topic:- sequence and series