Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1 4x + y − 3z = 11 - 3x - 2y + 5z = 21

Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: Using Linear Coefficients of Two Variables, solve: (2x - 5y + 3)dx - (2x + 4y - 6)dy = 0

A:

Q: True or False: We have Select one: O True O False 8 So vid 0 √xdx = 12.

A:

Q: True or False: We have Select one: True O False 2 x² dx > 2 x³ dx 3

A: We know that ∫abxn dx = xn+1n+1ab = bn+1n+1-an+1n+1  where n≠-1.

Q: For any vector v and positive constant c, the vector is a vector in the same direction as v. Select…

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

Q: Using Determination of Integrating Factors, solv y' = 2xy - x

A: Given differential equation y'=2xy -x

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: L sin2t cos3t

A:

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

A:

Q: √x+1 x-0 In (x + 1) Evaluate lim Select one: a. The limit does not exist. O b. 0 O c. 1 O d. 1/2

A:

Q: Find the area of the region that is bounded above by the curve f(x) = sqrt(x−7) and the curve g(x) =…

A: The given curves: fx=x-7 and gx=19-x.The area is bounded by the above curves and x axis.

Q: A company determines that its revenue function is given by R(q)=−0.4q^2+2457q and that its cost…

A:

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A:

Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: 8 mi P 4 mi

A:

Q: Consider the function f(x) = 8x³ - 6x² + 3x - 8. An antiderivative of f(x) is F(x) = Axª + Bx³ +…

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C. Here C is integration…

Q: Part 1 of 7 (h+k) (1) is. Part 2 of 7 (k-h) (4) is. 00 00 X X Undefined Undefined S

A: To find out the following values.

Q: The value of the definite integral 3 [²³ is Select one: O -30 (3x² O 45 O 6 O 30 O none of the…

A:

Q: Find the roots of: (D4 + 6D² + 9)y = 0

A:

Q: Let a be a real number. Evaluate the following integral: So fx + y dxdy

A: We have to evaluate the integral ∫0a∫y-1y+1 x+y dx dy  where a is a real number.

Q: Find the area bounded by the curvey = x², the x-axis, and the ordinates x = 1 and x = 3. (no need to…

A: Topic = Area Question no 2 and 3 are graded questions.  Only question no 1  can be answered.

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

A:

Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

A:

Q: Find an algebraic expression equal to sec (csc-¹ (3x + 2)). T (You may assume that — < csc¯¹ (3x +…

A: The expression is  seccsc-13x+2

Q: 21 The function f(x) is represented in the following table. Give the best estimate for f f(x)dx 3…

A:

Q: Solve: y + 4y = x² + ex Yc=C1+C₂_ Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

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

Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

A:

Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

A:

Q: 4.5 √√w + 10√w³dw W

A: Since you have asked multiple question,we will solve the first question for you.If you want any…

Q: The determinant for the following matrix is [511] L4 2 O C 10 2

A:

Q: following function L sin2t cos3t

A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

A:

Q: What does the index value of 78.8 in 1990 mean? Explain your reasoning. Year 1960 1970 1980 1990…

A: Ratio of the gas price index in 1990 to the gas price index in 2000 is 0.788.

Q: Find the general solution of the differential equation 49y" + 112y + 64y = 0. NOTE: Use C₁, C₂ for…

A: We have to find general solution of given DE.

Q: find the general solution (x + yex) dx-xexdy=0

A:

Q: If [ f(x) dx = 18, then √ (f(x) + 4) da is equal to: A B с D 20 22 25 30

A: Evaluating the given definite integral

Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

A:

Q: Hos solv the step? ₁0.9062cos (1-√3x) d x [sin (1-√√3x) -√√3 √³x)] -0.1 -0.1 sin (1-√√3a) - sin…

A: We have to solve the step  sin(1-√3a)= -0.9556+0.9210

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: Find the general solution of the given differential equation. 3 +24y = 8 dy dx y(x) = Give the…

A:

Q: 8,x<0 f(x)= {ax+b, 0<x<2 a= 4,x22 Llene los ...

A:

Q: Find the inflation rate from 2006 to 2007. Assume that all prices have risen at the same rate as the…

A:

Q: Which of the following is FALSE? A. integrate f(x) dx from b to a = - integrate f(x) dx from a to b…

A:

Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

A:

Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

Q: 3x2+4 х3их н dx

A:

Q: A curve has an equation y = 2√x which intersects the line x = y. What is the volume generated by…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Consider the function f : [-1, √10] → R defined by { 10 8 6 T 2 0 -1 f(x) = r², r>2; x≤ 2. I Answer…

A: Disclamier: Since you have posted multiple a question with multiple sub- parts , we will solve first…

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: