Which one is a normal vector to the line which is perpendicular to the 8x - 3y = 9. A (8,-3) OB. (3,8) OC (-3,8) D. (-8,-3) OE (8,3) O Reset Selection

Q: 1 A spring is such that a 4-lb weight stretches it 6 in. An impressed force; -cos8t is acting on the…

A: We have to determine the position of the weight as a function of time x(t).

Q: Q2: find dw/dt at given value point for the following function 1) _w=x² + y², x= cos(t), y = sin(t),…

A:

Q: H-w.4 Find the volumes for the following solids whose heights are defined by Z(x,y) and bases are…

A: Volume bounded by xy-plane

Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: Squeeze Theorem: If f(x)≤g(x)≤h(x) for all x and limx→af(x)=limx→ah(x)=L then limx→ag(x)=L We have…

Q: Find the volume of the solid that below the Surface given by z = 16 xy + 200 and above the region in…

A: Volume bounded by xy-plane plane,

Q: An estimate value of f(x) dx is 10 using trapezoidal 2 - interval rule. W is an estimate value of…

A:

Q: How many strings of three decimal digits (each digit can be 0-9) do not contain the same digit three…

A: Solution :-

Q: x: 1 f(x): 1 cubic spline interpolation for the data : 2 3 4 5 0 1 0 1

A: We need to find cubic spline interpolation of given data.

Q: 2. Use sketches of regions or number lines to show each pair of equivalent fractions: a. 10 15 95

A: Given :Fraction :                      23 =  1015

Q: H-w. Find the volumer .4 for the following solids whose heights are defined by Z(x,y) and bases are…

A:

Q: Simpson 1/3 rule for integration is mainly based upon the idea of (a) Approximating f(x)in I=ff(x)dx…

A:

Q: uppose h' is continuous at x = 0 and h'(x) = Find h"(0+), if it exists. tan(2x) — 1 if x > 0.

A:

Q: Let R and S in the figure above be defined as follows: R is the region in the first and second…

A:

Q: Q1): The concentration of salt is given as a function of time by: -= 37.5-3.5x at the initial time…

A: solving differential equation using euler method for condition a as mentioned

Q: Write the following English sentences in symbolic form-  I will dance only if you sing. Neither…

A: We can divide the statement into two premises. Let us denote P: I will dance and Q: you sing.

Q: 13. For the following digraphs, determine ISI, the cardinality of S if: a) S is the transitive…

A: A={a,b,c,d,e} The given relation as R={(b,c), (b,e), (c,e), (e,b), (e,c), (d,a)} For transitive…

Q: Graetest common divisor of 252 and 664 Greatest common divisor of 252,414,664

A: Greatest common divisors

Q: Find the solution to the Bernoulli equation. 1 xay từ you Oy³ = 1+ CX-3 Oy³ = 1+ Cx³ Oy³ = Cx³-1…

A:

Q: 4: 4d³y - 13+6y=0 dx3

A: Given differential equation: 4d3ydx3-13dydx+6y=0To find: General solution of the differential…

Q: Let X be a normed space, Xn, Yn EX such that Xnx, Yny, then 1-Xn + Yn → 4- ||xn-ynll→→llx - yll.…

A: Given that X is a normed space, xn, yn ∈X such that xn→x, yn→y. To find: 1. xn+ yn→x+y…

Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*107 part/m³), while the…

A:

Q: [MO23] For the function y = cos x + sin x, determine its a. MacLaurin Series expansion up to fifth…

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Q: Evaluate the integral S 3012 2/3 de using the two-point Gaussian quadrature rule. 1+16z4

A: Given integral is ∫−121221+16x4dx. We have to evaluate the given integral by using the two-point…

Q: Find the value of F(s) given that; sin 3t, o<t<tπ f(t) = { sin 3t, t<πT Let L[sinzt u(t)-sin3(t…

A: Use the definition to find the Laplace transform of the function sin3t ut-sin3t-πut-π.

Q: Using 1 - node Gaussian integration, we have f f(x) dx ≈ w₁f(x₁). What is the value of w₁ ? b+a (a)…

A: Given that using 1-node Gaussian integration, we have…

Q: a x In the experiment of tussing a fair coin is the randam variable giving 3 times the number of…

A: Given three fair coins are tossed. So PX = 0 = 18P(X = 1) = 38P(X = 2) = 38P(X = 3) = 18

Q: A mass weighing 64N stretches a spring 0.32 m. The mass is initially released from a point 8 m above…

A: Given, a mass weighing 64N stretches a spring 0.32 m. The mass is initially released from a point 8…

Q: Suppose that you are an engineer designing an arch bridge spanning the entrance to a marina. Small…

A:

Q: Which of the following statements are true about inductive reasoning? * i. All forms of inductive…

A: We need to determine if the statements are true for inductive reasoning. Now, inductive reasoning…

Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: C.W. Churchman once said that "Mathematics...tends to lull the unsuspecting that he who thinks…

A: No. Normally the best models of quantitative analysis are not mathematically complex. The reason is…

Q: (a) Use differentiation to find a power series representation for 1 f(x) = (2 + x)² f(x)=(-1)" (n+1)…

A: Let assume gx=12+x Multiply and divide the denominator with 2 gx=1211+x2        =121+x2-1 We know…

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x - lim x-2- 3x-4 X-2 x2-x-2/

A: We have to evaluate the given limit.

Q: Given, dr = b(cosedr+rsinėdė);r(π) = 1. Find (1) 1 1+b O 1+b 2 1 1+b O b -(1-b) 1+b

A: We have to find the value of rπ2

Q: Simpson 1/3 rule for integration is mainly based upon the idea of (a) Approximating f(x)in I=ff(x)dx…

A: We need to find the idea behind Simpson  13 rd rule.

Q: Explain why you think the series Σα 1 n-1 converges to a finite number or n+1 diverges. If the…

A:

Q: I.) F = (y sin z)i + (x sin z)j + (xy cos z)k II.) F = e³+²z(i + xj + 2xk)

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Q: Evaluate fő ·∙log 1+ax dx 1-ax x√√1-x² ). (1+

A:

Q: Write the following English sentences in symbolic form- We will leave whenever he comes. Either…

A: Write the following English sentences in symbolic form-

Q: What is the minimum number of students required in a discrete mathematics class to be sure that at…

A: We solve the given problem in next step.

Q: GGQ. VII. Consider the function f that satisfies the following: . f is continuous everywhere except…

A:

Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch x 8118

A:

Q: [MO31] Find the Fourier series of,

A: Given,           f(x)=0-2&lt;x&lt;-1-x-1&lt;x&lt;11   1&lt;x&lt;2

Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A: We want to find linear dependent vectors.

Q: 6. e 2t sin2t + e³t₁² 2

A: Given function is f(t) = e-2tsin 2t + e3tt2 To find Laplace transformation we use the following…

Q: k рех, у) хсу. y = 1,2,3 other - and the marginal probability function of Y P (Y) 6

A: Given PDF is p(x, y) = kx2y,x=1, 2,  y=1, 2, 30,otherwise

Q: GIVEN: L = 1/2 H₂R == 1₁ E=2 I (0)=1 FORM=LQ" +RQ¹ + LQ = E(t) SINCE = I=Q' & I'=Q" THEN LI' + RI =…

A:

Q: dx 1+x method. Hence find the value of log 2. Example 8.18. Evaluate f **M ** HILE correct to three…

A: We need to find log 2 using Romberg's method.

Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

A: given function fx=sinx1+cosx claim- find the  first derivative using forward , backward and centered…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A: We want to calculate the limit limx→3(x-3)tan(9-x2)sin2(2x-6) To solve this we use the following…