Find the determinant of the 3 by 3 matrix below: 4 -2 -2 4 2 -1 1 413 Select one: O a. 8 O b. 60 O c. 40 O d. 12

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: Here given curve  by2=x+a2

Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: use the disk / washer method to find the volume of the solid. ya = = 2x, Xx= 2y, about the y-axis.…

A: (1)

Q: c) Solve the differential equation ydx = (ye" - 2x)dy.

A:

Q: Use the comparison test to determine convergence or divergence of 00 cos² 3n Note that 0 ≤ Σ n=1 1+…

A: In the comparison test, we compare a series ∑un with a series ∑vn, where we know the convergence or…

Q: Find the solution to the following linear programming problem using the simplex method Max…

A:

Q: Which of the following limits meet (or does not meet) the requirements to apply L'hopital's rule…

A:

Q: A: Find the solution to the following linear programming problem using the simplex method Max…

A:

Q: Technical Question: Which of the following best characterizes the statements A) f(x) = x²+xlg²² B)…

A: Given: A) fx=x2+xlog2x is Ox3 B) fx=xlogxx is Ωx2logx To determine: The correct option: (A.) Only A…

Q: Question 3 (a) Suppose the functions f and g are continuous on [a, b], differentiable on (a, b), and…

A:

Q: 6. x' = 2호 1 2 X

A:

Q: The following table gives the value (in billions of dollars) of the 10 most valuable teams in a…

A:

Q: 4. Can √5 be approximated through fixed-point iteration? Define a f(x) and a g(x) to do this if it…

A: To show : 5 is approximated by fixed point iteration or not.

Q: Solve the equation. (2x² + y)dx + (x²y³ - x)dy = 0 An implicit solution in the form F(x,y) = C is =…

A: Solution:-

Q: 15. A 2-scoop ice cream cone is made using two spheres of ice cream with a 4 inch diameter on top of…

A: We have to find the volume of the spheres and the cone. Then we can proceed further.

Q: Q.2: Find the trigonometric Fourier series of the periodic function f(t), and show if it is odd or…

A: The given problem is to the given periodic function is even or odd and also to find the Fourier…

Q: 3. Consider the Initial value problem ry' = y + r ln(r); y (1) = 2 (a) Estimate y(1.5) using Euler's…

A:

Q: (2x, 1) and let g(x, y) = x² + y². Find all the points on the curve g(x, y) = 1 for which Vf(x, y)…

A:

Q: rove by induction that Σr(2-3r)=(n+1)(1-2n) r=1 VnEN

A: ∑r=1nr(2-3r)=n2(n+1)(1-2n) ∀n∈ℕ We have to prove by mathematical induction

Q: 0.9T Using Simpson's rule, evaluate 0.⁹ sin (x) taking h = 0.1?

A: We know that Simpson's rule ,  fx ≈ h3fx0 + 4fx1 + 2fx2 + 4fx3 + ........+ 2fxn-2 + 4fxn-1 + fxn We…

Q: Suppose a corporation manufactures candles at two locations. The cost of producing *1units at…

A:

Q: 3. *- ( 7 ) x + ( ) X =

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: find I the value of 2 and y=03 by applying Lagrage's formular lamgely x 0.4 J 0-3683 [0333२ 0.2897

A: We have: x x0=0.4 x1=0.6 x2=0.8 y y0=0.3683 y1=0.3332 y2=0.2897 Now,…

Q: f₁(x) = x₁ f₂(x) = x², f3(x) = 4x - 2x² g(x) = C₁f₁(x) + C₂f₂(x) + c3f3(x) olve for C₁, C₂, and c3…

A: f1(x)=x, f2(x)=x2, f3(x)=4x-2x2g(x)=c1f1(x)+c2f2(x)+c3f3(x) we have to solve for g(x)=0

Q: Consider the function f(x, y) = 6 - (x - 1)2-(y-2)2 over the rectangular region D= [-1, 1] x [-1,1].…

A:

Q: 7. Simplify the following using the algebra of propositions. Show your solutions. a) A = {[QV (P ^…

A:

Q: (a) Find Maclaurin expansions for sin 2x, cos2x and e³* up to and including the term in x³. ${( 3 +…

A:

Q: where D C 0 find amatrix 2 Irand d I is identity 3 -1 1

A:

Q: Translate into English: a. ∀x(E(x) ⇾ E(x + 2)). b. ∀x∃y(sin(x) =y). c. ∀y∃x(sin(x) = y). d. ∀x∀y(x3…

A:

Q: Q1:A/ The Office Supplies Company offers two types of pens, the first type has high specifications,…

A: Since you have posted a multiple question according to guildlines I will solve first (Q1.A)question…

Q: Problem 2.2. Consider the ODE u(t)= u(t), 0 < t < 1; u(0) = 1. Compute its Galerkin approximation in…

A:

Q: Determine whether the given relation is an equivalent relation on {1, 2, 3, 4, 5} If the relation is…

A: To find: (i)the given relation is equivalence or not.             (ii) The equivalence class.

Q: Solve the system of Homogeneous LDE x' = y - 3x y' = -x - 5y When t = 0, x = 1, y = 2

A:

Q: Find the parametric equations of the tangent line to the curve of intersection of the surfaces x² -…

A: The equation of the tangent plane to the surface f(x, y, z)=0 at x0, y0, z0 is defined as: fxx0, y0,…

Q: 1. (a) Estimate the volume of the solid that lies below the surface z = xy and above the rectangle R…

A: To find-  Estimate the volume of the solid that lies below the surface z = xy and above the…

Q: Consider the region B under the graph of y = +7, €[5,7], and above the x-axis. x x+5 Estimate the…

A:

Q: A)Find volume of body from above Z = 4-x² - y² and below Z = 1 inside y = x, and y=x². B)Solve the…

A:

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

A:

Q: (a) Suppose f: (a, b) → R is continuous. Show that if f(a+) and f(b) are finite(i.e. <∞), then f is…

A: (a) Given that f : a,b→ℝ is continuous function and fa+ and fb- are finite. To show: f is bounded on…

Q: Consider the function i) ii) f(t)= 21, 1, 0<1</ 1/3<1<1 For a half-range Fourier cosine series,…

A:

Q: 2. Consider the integral ² si sin redr which can be computed exactly. a) Apply Romberg integration…

A:

Q: 15. Find algorithms for getting the third and fourth roots of N that are similar to that in Exercise…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: both Eri Evaluate This cubic polynomial Pors=1-32 using rounding and chopping to three digits at…

A:

Q: Find three positive numbers x, y, and z whose sum is 21 and product is a maximum.

A: There are two different questions in the image. According to our guidelines, we can solve only one…

Q: Which of the following statements is (are) correct? OA)The columns of an invertible n x n matrix…

A:

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁ ≤…

A: Given  Min z=10x1+11x2S.T.x1+2x2≤1503x1+4x2≤20036x1+x2≤175x1, x2≥0 which can be written as Min…

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

A: We will find region bounded by all constraints and then use corner point method to find where z is…

Q: Q3: Michal has a 100-acre farm and plans to plant at most three crops. The seed for crops A, B and C…

A:

Q: Solve (x ^ 2 * y ^ 2 + 5xy + 2) * ydx + (x ^ 2 * y ^ 2 + 4xy + 2) * xdy = 0

A: As we have x(x2y2+4xy+2)dy+y(x2y2+5xy+2)dx=0∴x3y2+4x2y+2xdy=-x2y3-5xy2-2ydx