Calculate Tu, T₁, and n(u, v) for the parametrized surface at the given point. Then find the equation of the tangent plane to the surface at that point. Þ(u, v) = (2u + v, u − 4v, 7u); V = 8 Tu = The tangent plane: =9z u = 5, ‚ T₂ = , n(u, v) =

Q: Show that for 0≤k≤n (-1)* (α), (a)n-k=(1-α-n) k Note particularly the special case α = 1.

A:

Q: Solve for the domain of the sq root of (x-y)/(x+y) as a real function. In what points is it…

A: Given that fx,y=x-yx+y

Q: II. A. Decrypt the following cipher text, having 12 shifts to the RIGHT. ABCDEFGHIJKLMNOPQRSTUVWXY…

A:

Q: Find the determinant of B = 3 0 1 2 5 2 1 -1 0 -2 -3 0 THOT

A:

Q: Find the lines that have four point contact x4 + 3xyz + x² − y² − z² + 2yz − 3xy - 2y + 2z = 1. - -…

A:

Q: Let a, b R and g: (a, b) → R be a function. Suppose that f: (a, b) → R is a bounded function.…

A:

Q: 8 r 7-- 6+ 5- 4-- 3- 1-4- -1+ -2+ 9 S 9

A:

Q: Determine a, h, b so that the paraboloid 2z = ax² + 2hxy + by ² may have the closest contact at the…

A:

Q: Which is the solution to the inequality −5x+6 > −2x+9? a. b. O A B O C O D -3 -2 -1 0 -3 -2 -10 1 2…

A:

Q: EXERCISE 3 Find the general solution of the differential equation y"" - 4y" + 5y' — 2y = 0, y =…

A: Homogeneous ordinary differential equation

Q: Choose the phrase the best completes the following sentence. To solve an inequality, you reverse the…

A:

Q: Q1- Evaluate the integral J₁ (x) dx

A: The recurrence formula for bessel function

Q: (a) What is the probability that at most 39 greater than 67

A:

Q: On July 8, the billing date, Marvin Zug had a balance due of $223.27 on his credit card. His card…

A:

Q: Suppose g is a function which has continuous derivatives, and that g(6) = 1, g′(6) = −3, g″(6) = −2,…

A:

Q: 1. Let A = Z+x Z. Let R be a relation defined on A as follows: For all (a, b), (c, d) € A, (a, b) R…

A:

Q: Find the solution to the linear system of differential equations x(t) = y(t) = = -2x -10x + 3y…

A:

Q: 2. For each of the following functions decide whether it is one-to-one and whether it is onto, and…

A: 2.(i) we see, (1/4, 4) ≠ (1/2, 2)       but m(1/4, 4) = (1/4)×4 = 1             m(1/2, 2) = (1/2)×2…

Q: The total cost of producing a type of truck is given by C(x) = 10000 - 80x + 0.2x2, where x is the…

A:

Q: Evaluate the triple integral DI x²e dV where E is bounded by the parabolic cylinder z = 49 - y² and…

A:

Q: Given that 1 1 − x =  ∞     n = 0xn, use term-by-term differentiation or integration to find a…

A:

Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

A:

Q: 12. 13. 14. 15. 16. 17. 19. 21. 22. 23. 24. 25. 27. 28. (-1, 4), (1, 3), (3, 0) (-4, 2), (-3, 1),…

A:

Q: Give either an example of a function from R to R for which f(A)=B, for A and B open sets in R (open…

A: According to the question I have to construct either f or g having above properties . So I will…

Q: - Let an = NCN such that la 3+1. Use the definition of convergence to show that an →3 as n →∞o. That…

A:

Q: Consider the sequence recursively defined by the rule sn = 2sn-1/n for n ≥ 1, with the initial value…

A:

Q: of A5 A=14=44 A4 = -4 -2 5 A6-

A:

Q: If T = [6 5 2 −1] and U =[u1 u2] where u1 and u2 are the eigenvectors of T, find U-1TU and then Tn…

A: The given problem is to find the eigenvectors of the given matrix and diagonal matrix and Tn of the…

Q: and the first five non-zero terms of Taylor series centered at x = 9 for the function below. f(x) =…

A:

Q: H 21. Iff: X→ Y and g: Y→ Z are functions and g of is one-to-one, must ƒ be one-to-one? Prove or…

A: Let, for x, y ∈ X, f(x) = f(y)  Then, g(f(x)) = g(f(y))          => g o f(x) = g o f(y)

Q: Any even function geven(x) = geven (-x) with any odd function hodd(x) = −hodd(- P2 and P4 (the…

A:

Q: 2) Vxe R. It is given that f"(x) > 0

A:

Q: Find the lines that have four point contact x² + 3xyz + x² − y² − z² + 2yz − 3xy = 2y + 2z = 1. - -…

A:

Q: 8. Use Dijkstra's algorithm to find the shortest path from a to i. d a 5 b 8 4 9 2 6 f e 1 2 3 9 h…

A:

Q: Q2- Find I = 8(sin x)

A: Given that I=δsinx

Q: 8. Use triple integrals to find the volume of the solid enclosed by the cylinder y = x² and the…

A:

Q: Each time your heart beats, your blood pressure first increases and then decreases as the heart…

A:

Q: Give topology real numbers R for which Ris not for the Connected 2

A:

Q: We have a geometric series where a1 =5 and a2 =10, find S10. Please don't answer in handwritten…

A: Given: We have a1 =5 and a2 =10 To find:              S10

Q: Use the information to find and compare y and dy.                                      Function…

A: The given function is, y=x4+1. To Find: y, dy, at x=-1, dx=0.01.

Q: rst four terms in each portion of the series solution a ential equation. x²y" 5x y' + 6y = 0

A:

Q: (a) Give an example of a bounded sequence that diverges.

A: Since all questions are different ,so according to the guidelines I will solve first question. That…

Q: What's the difference between an arithmetic and geometric sequence? How do you find the general…

A:

Q: We have found that the solution to the exact differential equation is of the form f(x, y) = xy +…

A:

Q: Solve for a and b so the points (1,-1, -3), (2, 0, -1), and (a, b, 3) will lie on a straight line.

A: The given problem is to find the values of a and b so that the given points (1,-1,-3),(2,0,-1) and…

Q: 6 Proof by induction A sequence x1, x2, x3,... is defined by the recurrence relation xn+1 = 2xn +4,…

A:

Q: Use partial fractions to find the power series of the function. 130 (x2 + 1)(x2 − 25) ∞     n = 0(.…

A:

Q: Use spherical coordinates to evaluate the triple integral e¯(x²+y²+z²) /x² + y² + z² where E is the…

A:

Q: Prove that: 3 (0) 2³ ( 1 - 4 ² ³ ; x ²) = + sin²¹ x (b) 2₁ (¹-x²) == tan²¹ x 1 H

A:

Q: y" - y' - 2y = 5 sin x y(0) = 1, y'(0) = −1

A: