The auxiliary equation of y"-49"-49² +6 Y is f² ²3 ²³ 45²_-45+16=0. The auxiliary. equation hels a root in the interval [-0.75, 3.75] 3 Let For=r²³-4²2²-4r +16, so that the reats of the auxillary auxiliary equation can be determined by solving For=0

Q: examine whether the following quadratics are positive definite, negative definite, or indefinite a)…

A:

Q: Find the present value of an ordinary annuity with deposits of $22,325 quarterly for 5 years at 7.6%…

A:

Q: Question 7 To help plan the number of meals to be prepared in a college cafeteria, a survey was…

A:

Q: Calendar X 023, Term 1 (U... cements…

A:

Q: that any bounded set in totally bounded. Show 3 n Rh

A:

Q: Number 1: Given a first-order differential equation: 1 + x² dy- ydx = 0 • What is the best solution…

A:

Q: te: 20-10-2022 Student Nam find the products. 58²) 51 A = (₂ AB. and 2 АТВ, ATB, if poss -1 1 B. (₂…

A:

Q: Give the substitution that converts the given nonlinear equation into a linear equation then find…

A:

Q: Given the parametric equations below, eliminate the parameter t to obtain a Cartesian equation. 0 <…

A:

Q: Using the conditions of optimality, find the extreme points of the following func- tions and…

A:

Q: Use the Laplace Transform to solve the given initial value problem. y(4) - 4y = 0; y(0) = 1, y'(O) =…

A:

Q: 1. Use a cofactor expansion to compute the following determinants. 2 -1 0-1 -1 2-1 3 (a) 2 0 0 4 3 2…

A: use a cofactor expansion to compute the following deter

Q: Find the area of the region bounded by the semicircle with equation y = √√4-(x + 2)² + 1 y = x² + 4x…

A:

Q: Use mathematical induction to prove that: For all integers n ≥ 0, the units digit of 9" is 1 when 72…

A:

Q: How many seconds are there in 7 weeks

A: We have to find how many seconds are there in 7 weeks.

Q: Determine the equation of the locus of a point that moves such that its distance from the line 4x +…

A: Here we have to find the locus of the point that moves such that its distance from the line 4x + 2y…

Q: Find the future value of the following ordinary annuities. Payments are made and interest is…

A:

Q: You are constructing a 12 cubic feet box with five wooden sides and a glass front. If the wood costs…

A:

Q: Prove that for all x ∈ N, x is divisible by 4 if and only if the number given by the last 2 digits…

A: Soln) Let x be a natural number. Then we can write x as: x = x0+10x1+⋯+10nxn Since 102=4⋅25 ≡ 0 mod…

Q: Prove that if 7 is a prime number, then √ is an irrational number.

A:

Q: Suppose that you are thinking about buying a car and have narrowed down your choices to two options.…

A:

Q: Find the lowest-degree polynomial that interpolates the function f(x) = 2x² - 1, in the nodes To =…

A: The Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a…

Q: Hey Rickey overall great job one thing I want to note is that you can find confirm rank nullity a…

A:

Q: Use spherical coordinates to evaluate 3 √9-x² 9-x²-y² x² + y² + z² 1 + (x² + y² + z²)² Hint: Draw…

A: To Evaluate: ∫03∫09-x2∫09-x2-y2x2+y2+z21+x2+y2+z22dzdydx using spherical coordinate system.

Q: Sketch the space curve. Vector-Valued Function r(t) = -ti + 5tj + 2tk 5 ** 11 0 Z 2 2 Interval [0,…

A:

Q: x 04 0] [10] [8] 6) Given find formulas for X, Y, Z in terms of A, B, C. You may Y Z B HA 0 I make…

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

Q: A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of…

A: Let x pound of chocolate is mixed Given 21 pounds of trail mix costing $4.35 per pound is mixed. The…

Q: C₁ and C₂ are constants. For the DE y" + 12y' + 35y = sinx, (a) the complementary function is Yı(x)…

A:

Q: An operator found a 1.3 meters-tall dead man at the bottom of an inverted conical tank that has…

A:

Q: Explain an example of Block Multiplication.

A: To Do:We have to explain an example of Block Multiplication.

Q: Define the set (x), the set generated by x

A:

Q: Graphs of f(x) = 8x and g(x) = 8√ intersect at the points (0,0) and (1,8). The region between those…

A:

Q: [8](6) Given @[ 0}{k find formulas for X, Y, Z in terms of A, B, C. You may make assumption about…

A:

Q: 140 x- (Y) Y+ (A+C) ² = 1450 (A)X+130Y-(Y-B)Z = 1250 (A)X-(Y+C) Y †1252 = −850 Given: A = 1 B = 5 C…

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

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT The vertices of a triangle are A (0, -1), B (9/4, 2), and C…

A: Since you have asked multiple questions here we will solve the first question for you. To get the…

Q: PA (¹9) has a balance of $3200 and an annual interest rate of 17%. With no further purchases charged…

A:

Q: Use the fact that 8 cos3(2π/7) + 4 cos2(2π/7) - 4 cos(2π/7) - 1 = 0to prove that a regular…

A: Given: 8cos32π7+4cos22π7-4cos2π7-1=0 To show: Regular  seven-sided polygon is not constructible with…

Q: sing forward low accuracy formula , find the second derivative of the function at x = 5 Using a step…

A: Equation is f(x)=- 4/10x4 - 99/100x3 - 661/1000x2 - 0.25x + 6h=0.25

Q: = 6 will make = 14 will make mTM, Inc.

A:

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

A: Given:  Equation of solid z=x+y , x2 +y2=16. To Find :  Set up and also evaluate the double integral…

Q: A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine…

A:

Q: TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: The given equation of the circle is       (x - 2)2 + (y - 8)2 = 25  . . . . . . (1)  whose center is…

Q: Let c be an element of N, and p be a prime. Prove that if c is greater than or equal to 3, then c^p…

A:

Q: O A B C D x+1 3 x³ +6x² 3x² X3 4x-16 x²-2x-8 x+5 = 1 2x² + 3x 2x²+5x+3 = = 4 x+4 = x² X

A: Extraneous Solution simply means a solution that comes out in solving process but does not satisfy…

Q: Define the set (x + 2), the set generated by x + 2

A: A set S is said to be generated by an element a if every element in S can be expressed in terms of…

Q: The number of foxes , in thousands, living within an urban area  t years after a given instant, can…

A: For a differential equation of the form: y'=f(x, y), the Runge-Kutta 4 method uses the following…

Q: = Find the least-squares line given the matrix products AT A 354.4 ATb [85 43]. 6801.8 y = Ex: 1.2 +…

A: For a system: Ax=b, the formula for least-squares fit is x^=ATA-1ATb. We know that: a  b c  d…

Q: The following "Theorem" is obviously not true. Explain what's wrong with the proof. Theorem: 1 is…

A:

Q: X y -2 14 -1 -1 I 0 -6 1 -1 2 14 3 39 Finding first differences: -1-14--15, -6+1=-5, -1+6=5,…

A: The y-intercept is the point where the curve intersects the y axis. It is calculated by substituting…

Q: Let A = {z = x + y = C: ≥1}. (1.1) Show that A = {z = x+iy € C: y ≥ 1; (x, y) = (0,4)}. (1.2) Sketch…

A: