If n] •n₂ × n³ #0, then There is a single point of intersection There may or may not be points of intersection The normal vectors are not coplanar A and C

Q: A contractor was awarded a contract to build a 600 meter long tunnel. During the 5-year contract,…

A: A contractor awarded a contract of 600 meter long tunnel. Time period is 5 years Total Pump operate…

Q: How did they calculate what T does to the elements of B?

A: You want to know "How did they calculate what T does to the elements of B?" We have  B=1, x, x2, x3…

Q: 1 Find the first 10 terms of the sequence an = an-1 Its 9th term is Its 10th term is and a1 = 14. =

A: Given sequence is  an=1an-1 Given a1=14 We need to calculate first 10 terms of the sequence.

Q: Find £f3² ܠ S 349s+5 7

A: We need to evaluate L-1ss2+2s+5.

Q: Sign Chart for (x) sign signi Sign Chart for f"(x)

A:

Q: New material: Determine which terms will be present in a fourier series for the following function…

A:

Q: The shape of a hole pored by a drill is a cone surmounted by cylinder. If the cylinder be of height…

A: Consider the following figure. Given tanα=hr. We know that the volume of the cylinder is…

Q: y² 2. Let C₁ be the ellipse + = 9 4 = 1 traced counterclockwise and C₂ be the paral- lelogram with…

A: For 1st part we will use  ∫F.dR=∫abFRt.R'tdt For green's theorem  ∫C  P d x + Q d y = ∫∫D  ∂Q∂x-∂P∂y…

Q: 4. A theatre wants to establish an easy way to calculate its ticket prices. It has determined that…

A: Here a theatre want to establish an easy way to calculate its ticket price. The cost price of ticket…

Q: 1A. Obtain the Fourier series of f(x) = ex, x = (0,2π), f(x+2) = f(x) Vx. Obtain the half range…

A:

Q: Ex3 i) ii) Let T: C ([0,1]) → R f → f(0) If C ([0,1]) is equipped with the sup-norm, show that T is…

A: As per the policy, we are solving first question. Please repost it and specify which question is to…

Q: • Let: X₁ (jw) = 2nd(w) + nd(w − 4ñ) + ñ8(w + 4π) • Use the inverse Fourier Transform to find x₁(t)…

A: Introduction: Like other integral transformation, Fourier transformation has also its inverse. In…

Q: ***BELOW ARE TWO DIFFERENT QUESTIONS, PLEASE SOLVE EACH SEPARATELY AND SHARE ANSWERS FOR BOTH.…

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

Q: For an interest rate of i, which of the following is true? Select one: O a. A (1 + i) ¹¹ Axiñ

A: For an interest rate i amount given by  A (t) = (1+i)(1/2)A0 . Where A0 is initial amount i is…

Q: Calculate the volume of the solid bounded by x2+y2=4 and y2+z2=4

A:

Q: Find the Fourier series for the following functions: - f(t) = \t], −1 < t < 1

A:

Q: Advanced Math Calculate the geodesic curve of the surface x^2 +y^2 -z=0

A:

Q: dx + AIX y = cos x, y(n) = 0

A:

Q: L[sin at] (e) Laplace Transform: F(s) fe-st f(t) dt. (f) Convolution: (f* g)(t) = f f(0)g(t – 0)do.…

A:

Q: Show that the following series is not absolutely convergent 1+k² (-1)*. 2-k km3

A: As per our company guideline we are supposed to answer only first  qs, kindly post remaining qs in…

Q: n For each nEN, consider x = with x ER+. Define the sequence {gn} by x XER+. 8n(x) = f(x) = = (a)…

A:

Q: - 34. f(x, y) = (1/2)x² + xy + (1/4)y² + 3x − 3y + 4 at Po(2, 2), R: x2 ≤ 0.1, y - 2 ≤0.1

A:

Q: Define S to be the following relation on R[x]: S = {(f, g) = R [x]²: (x + 1) divides (g - f) in R[x]…

A:

Q: Problem 7. Compute det A, where (a) det A = 0 (b) det A=-12 (c) det A = -24 (d) det A = 24 (e) None…

A: We Know that,  Property A : If all the elements of a row (or column) of Matrix are zero, then the…

Q: Q1. Derive the following formula for approximating the derivative f' and show that it is O(h) by…

A: To Derive: f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). Also, To Show: The error term is O(h4).

Q: Problem 12. Let A = = (a) AB - BA= [od] (b) AB-BA = (c) AB - BA = [1 [3 -1 -3 1 [33] 0 3 -63 (e)…

A:

Q: The _____ is the linear function which represents the seller's cost of a product. Cost Function…

A: We need to fill the blanks of given statement. The _____ is the linear function which represents the…

Q: Find the most general antiderivative. 4 56) √2+1 5 x² +1 X dx

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Given the integral ∫121s2ds , n=4

Q: Determine the equation of the quadratic with roots of of -32. +13 -2± √2 and that has a y-intercept

A:

Q: 6. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

A:

Q: Use an appropriate 7k5 5 8k +6 Σ k=1 By the test to determine whether the series converges. k this…

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

Q: 38. f(x, y) = ln x + ln y R: |x-1| ≤ 0.2, at Po(1, 1), y - 10.2

A: 38 Given function is fx,y=lnx+lny at P01,1. And R:x−1≤0.2, y−1≤0.2. We have to find the…

Q: Solve the following optimization problem (using second order conditions to confirm your…

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

Q: Prove there exist no integers a and b for which 18a + 6b = 1

A:

Q: Solvex (az + √2) dx − y(az + √2) sin (ay²) dy + (az √2) dz = 0

A: Integrate both sides

Q: 5. Use Theorem 5.10 (Section 5.3 in Vol. 2 of OpenStax Calculus) for this problem. How many terms of…

A:

Q: Find all values of h such that the columns of A are linearly dependent, where -3 27 7 1 13 - h A = 1…

A:

Q: Write an equation for the ellipse Type the left side of the equation in the box below. G

A:

Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

A: Given that an initial amount of 0.9 grams is injected in a body, which has a decay rate of 1.15% per…

Q: Find all critical points for f(x)=x²-x²-2x+1.

A: Critical points of the given equation is x=-2/3,1

Q: 1.) Let 024 A = 655 10-3 052 B = 534 -2 4 -2 52 C = -24 (10) -4 1 D = 50 2-1

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given Data:  2x=y2 ,x=0,y=5 about the y-axisTo Find:The value of V

Q: 17 0 dx v|x-11

A:

Q: Use sigma notation to write the sum. [¹(-²) + ³] + [¹( ² ) + ³] + . . . + [4 (²) + ³] i = 1 X

A:

Q: Write a pair of curves that are homotopic and show that they are

A: it is known that two curves are said to be homotopic if one is deformed into another continuously.…

Q: QUESTION:  Given a 2-dimensional function T(x,y)=4y2+sin(pi*x)T(x,y)=4y2+sin(pi*x) answer the…

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

Q: Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right…

A:

Q: Which one of the apportionment methods studied does not violate the quota rule? Group of answer…

A: Let us solve the problem in the next step.

Q: Calculate the areas of the following surfaces using the differential surface area dS. 0≤r≤ 4, 60° ≤0…

A: We need to determine the area of the surface: 0≤r≤4, 600≤θ≤900, ϕ=constant using dS.