Solve the system by using the inverse of the coefficient matrix. X+y+z =1 3x + 4y – z =1 2x - y-z =3 The solution set is {OJD}: (Simplify your answer. Type integers or simplified fractions.)

Q: Application: 1. f(x) = 6x5 – x* + 2x2 – 3 2. h(x) = sinx + cosx – sec²2x 3. (x3+2x2)dx

A: Find the antiderivative

Q: Use the method of partial fraction decomposition to perform the required integration. 56x + 144 dx 3…

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Q: Compute the partial derivatives shown for the given function. 5 ху f(x, y) = + ; find fy, fy, and…

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Q: Solve y + 4xly = x°, y(1) = -6. (a) Identify the integrating factor, a(x). a(x) =| (b) Find the…

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Q: 3 4. f(x) = x - 5 A. x = -1 B. x = 2

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Q: 1 Find a power series representation of a (1– x)2 * | +00 1 %3D 2 3 + 22 ' 23 b Find the sum of the…

A: The used series here is: 11-x=1+x+x2+x3+...             ...(1), -1<x<1

Q: Convert the equation r = 4 csc (0) from polar coordinates to rectangular coordinates. (Express…

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Q: If a student is chosen at random, what is the probability that: Write your answers in percent form.…

A: We have to find the probability.

Q: For each of the following functions, determine whether the function is: • Injective (one-to-one). •…

A: We have to check whether the function is Injective, Surjective or Bijective.

Q: Convert to an equation in rectangular coordinates. 3 r = cos (0) – sin (0) (Express numbers in exact…

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Q: Determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

A: To determine if the following functions are one-to-one by inspecting their graphs using the Vertical…

Q: Identify the equation as a parabola, circle, ellipse, or hyperbola. (x - 7)2 = 9 – y2 O A. Hyperbola…

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Q: > (-1)" x3n+2 find the exact value of 5-1)"(3n + 2) By differentiating the power series 8n n=0 n=0

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Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: 2. The projected rate of increase in enrollment in a new college is estimated by the expression dE =…

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Q: hiker is instructed to carry two cups of water every 10 minutes spent walking the hiker plans to…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (20, 8, -4) Vw(20, 8, -4) =

A: The expression for the gradient vector is:…

Q: [3 -1 [o -1 2] |4 11 2 Given A = and B=|1 2 |6 1 (a) Find the eigenvalue(s) of BA. (b) On the basis…

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Q: 4 3 1 10 15 20 25 30 35 time (sec) feet velocity (ft/sec)

A: At t=0, velocity is 1 ft/sec. At t=25, velocity is 3 ft/sec. Required distance =Final velocity -…

Q: Use a graphing calculator to solve the nonlinear system. y = log (x+ 5) y =x? Select the correct…

A: this question has been solved using a graphing calculator desmos.

Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: Cosx sinx 1+sinx

A: The given integration is ∫cosx sin2x1+sinx dx We solve the integral by proper substitution. Let,…

Q: 1 3. f(x) = x - 2 at x = 2 %3|

A: In this question we have to determine the function is continuous.

Q: Question 1 Given: xy = tan(a - y). Find dx/dy. %3D tan (z-y) sec (r-y)- " +tan? (-y) sec" (7-y) O dr…

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Q: Determine the folowing integrais: 32+8 1.1 4x+6 1.2 +3r-10 1.3 se (sin Sx)cos Sx dr

A: In this question we have to find the Integration. Note: As per our policy we are suppose to do only…

Q: ·4 2. 3 a) Find lim g(x), lim g(x) and lim g(x) X+1 -2 x→1+ b) Find f(1). c) Is g continuous at x =…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: V4 - x 8. g(x) = at x = 0 %3D

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Q: Test the series for convergence or divergence. , n2 n =D1 n+1

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Q: 4x – 6 2. Let f(x) 1– (2x – 3)3 a. Find the Taylor series representation for f about x = 1.5 that is…

A: Let's find.

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(3,…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(r - 1) +2"- x has a critical number…

A: We prove that f'(c) =0 , here c is critical points.

Q: 6. In the large triangle of Figure 16, m is the weight line (it bisects the side to which the line…

A: 6. The vector which bisects the line joining by two vector heads is the mid-point of the two. So,…

Q: Does the following series converge or diverge? (2n)! Σ 6"(n!)? n= 1 O The series converges. O The…

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Q: Evaluate the line integral L(r – y*)dx + (1+ y² + =*)dy, where Cis the circle of radius 2 centered…

A: We have to evaluate the value of the integral

Q: solve the following ODE * y + xy = 6x/y

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Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: Under a change of variables æ = u², y= v³ , the infinitesimal element of area dædy becomes 3u?u°dudv…

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Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…

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Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L:x = -1 + 21,…

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Q: Find X only using Crammers rule 2x+リ-「Z=D2 x2 -y +VZ 2 x? +2y +VN= 4

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Q: A particle is accelerated along a curved path of lengthl = 4.0 m under the action of an applied…

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

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Q: (c) Identify the critical numbers of f and the possible points of inflection of the graph of f.

A: To find the critical number and point of inflection of the graph of f.

Q: Find the point where the function f(x,y,z) = x + 2y + 3z subject to the constraint xyz= 2 takes on…

A: Answer is in below steps.