Which of the following is NOT a correct way to express the vector v = (2,-4) a) 2î - 4 where î = (1.0). ĵ = (0.1) b) 2(1,-2) c)r= 6, 0= arctan(-2) d) u-w whereu = (3,2) and w = (1,6)

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: I have used the concept of gradient direction which is nothing but directional derivative at given…

Q: Evaluate the following (Express all answer in Rectangular Form): a. cotlog(1 – 4i) i b. (2e) C. z2 +…

A:

Q: 10 5. Let A = 13 7 Use Cramer's Rule to compute x2 of the solution x to 14 A x2 [40] Show all…

A:

Q: 7. Let C be the curve consisting on the line segment from (2,1) to (4,4), and then the line segment…

A:

Q: Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $37,764. Assume a…

A:

Q: Find the Snse laplace Traus Form 2(e ²s - e ") 2<t<4 -2s Ans. f(t)= = (s) (ƐT elsewhere

A:

Q: 2. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 + 5n, express an in terms of n.

A:

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A:

Q: Is the graph planar or nonplanar? Prove your answer.

A:

Q: Solve the equation. dy dx

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

Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A: Comparing the line integral ∫C 2x-5y+1dx+-5x-y+9dy with the integral ∫Mdx+Ndy, we have, M=2x-5y+1…

Q: 12. Let H be the hyperboloid where x² – y² +z² = 6. Find an equation for the tangent plane to H at…

A:

Q: Taking Joint H. Ź Fx=0 FHo Cos 45- Fan Cos67.5 Ho +130-6 563 cOszas:0 67.5 45° :: FHo Cos 45-Fan…

A: A system of equation is a set of equation with common variables in them. The solution of such an…

Q: (2) Consider the curve given parametrically by 1=1+2/2 cost, y = tant +2/2 sin t, for dy and show…

A: This is the application of derivatives.

Q: A prestigious hospital has acquired new equipment to be used in laser operations. It classifies its…

A: We have to find a number of major operations to maximize the revenues.

Q: Find the divergence of the vector field of F(x.y,z) = sinx i + cosy j+ z? k. -cos x + sin y - 2z cos…

A: We have given a vector field ,  Fx , y , z = sinx i + cosy j + z2 k f1x , y , z = sinx  , f2x , y ,…

Q: ? Question Draw two lines together in one 3D model. One line should start at (0, 2, 0) and move in…

A: Solution:-

Q: 6. Find the general solutions to the following non-homogeneous Cauchy-Euler equation using variation…

A:

Q: erify that (u,,u2} is an orthogonal set, and then find the orthogonal projection of y onto Span…

A:

Q: 1.)Prove that every n ≥ 14 ∈ n can be written as the sum of sequences of 3's and 8's

A:

Q: 8. Which of the following is a factor of x+3x² - 4x – 12? a) X -6 b) х-4 c) x-3 d) х-2 9. When…

A:

Q: 3 , evaluate the improper integral dr. r² + x – 2 Does it converge or diverge? Justify your claim.

A: An integral is convergent if it has a finite value and its said be divergent if its value tends to…

Q: Using Newton's backward difference formula, construct an interpolat- ing polynomial of degree 3 for…

A: Newton's backward difference interpolation formula for four points can be defined…

Q: Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. 13767…

A: If the digits of a decimal number are repeating after the decimal, then it is represented by a bar…

Q: 4. Let C be the piecewise smooth curve consisting of two pieces: the part of the circle x² + y² = 9…

A:

Q: WHAT IS THE INVERSE LAPLACE TRANSORM OF THIS ITEM? 2s2+16 49 s2_. 121

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A: To use Green's theorem to find the counterclockwise circulation and outward flux for the field F and…

Q: 1) Solve the following linear programming problems by sketching the region, labeling the vertices,…

A:

Q: The diameter of a tree, measured in feet, can be 14 modeled by the function d(t): 1+ 0.5e 0.4(1-8.5)…

A: The diameter of a tree (in feets) is modeled by the below function. dt=141+0.5e−0.4t−8.5 Here t is…

Q: 2. Suppose X is a continuous random variable with 0 sXS 2. Which, if any, of the following functions…

A:

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. 1.f(t) = te-3t cos² 2t

A: We are only allowed to solve one question at a time. Please post the remaining questions separately.

Q: -) find the polar form of z, -) find the Cartesian form of (z/2)62.

A:

Q: 6. Let F(x, y,z) with outward-facing normal vectors. Calculate ff, F -d S. (In case it is helpful, a…

A:

Q: Consider the matrix N formed when solving for coefficients of the Newton interpolating polynomial.…

A: Consider the given data points, 0,3, 1,-2, 2,5 and 3,4 Make the table of Newton interpolating…

Q: the Laplace f(1) = (1 – x )u_(1) Ans.

A:

Q: as(3)- 수 2dx 3

A:

Q: How many ways are there to distribute 7 different tasks to 7 different people if: i. No restrictions…

A:

Q: 6. Let F (x,y,z) = (x+ y, –2y + z, 8z – x) and let U be the sphere where x? + y? + z² with…

A:

Q: In the following equation, Qroses and Proses refer to quantity of roses sold (in dozens), to average…

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

Q: dy = 3 sin (6x - 2y) dx

A: This is a problem of the differential equations.

Q: The table gives the distance in nautical miles of the visible horizon for the given heights in feet…

A:

Q: Consider the polar curves C1 :r = 2 – cos 0 and C2 :r = 2+2 cos 0, 0 E [0, 27). (a) Show that both…

A: (a) C1: r = 2-cos(θ)Put -θ for θr = 2-cos(-θ)⇒r = 2-cos(θ)       since cos(-θ) = cos(θ)⇒C1 is…

Q: y" – 4y" + 14y" – 20y/ + 25y = 0. Ans y = e"((c1 + c2x) cos(2r) + (cz + C4x) sin(2r)) - -

A:

Q: Find the average rate of change of the function over the given inte- f(t) = 7 + sin t а. 2 T 3n b. -…

A:

Q: 6. Find the first four nonzero terms in a power series expansion about x= 0 for a general solution…

A: We have given a differential equation ,  x2 + 5y'' + y = 0 Let , y = ∑n=0∞  be series solution of…

Q: (27>1>0) (()=47 -t, (0<t<2x)

A: Definition: The Laplace transformation of ft is given by Lft=Fs=∫0∞e-stftdt Given  ft=4π2-t2,…

Q: f1 Q4) Let G ! 1 lo o 11 1 1 a) Find the row space of G. Write down your final answer in decimal. 5)…

A:

Q: simplify: i^1997 + i^1999 (in complete and detailed solution please thank you!)

A:

Q: Solve the Laplace Transform of the equation f(t)= sin3t/t

A:

Q: (s2+4)(s2-6s+13)2 %3D

A: