Let Ø be the golden ratio. Write Ø8 in the form (a+b√5) where a, b are rational numbers.

Q: Problem 4.2_14 (a) Assuming continuity of all partial derivatives, show that V x (V x F) = V(V.F) -…

A:

Q: If f(x) equal to (a) 1004 (c) 2007 4.t 4+2 2008 where x € Q, then Σ f(2009) is r=1 (b) 2006 (d) None

A:

Q: 1. Is (, (-2) ³) = (1, −8) ? 2. Let S = {2, 4, 6} and T = {1,3,5}. Use the set-roster notation to…

A: What is Ordered Pair: Ordered pairs are sometimes known as 2-tuples, or sequences of length 2 (or,…

Q: What is zero matrix, explain each entry of which is zero?

A: Given problem:- Explain Zero matrix

Q: Q3: Suppose that a periodic signal is defined as 2 j5 q(t) = cos(3лt) Σ (k+j1.5) ej8nkt k=-2

A: From a periodic signal we have to check that the given signal is real valued or not.. Find…

Q: With respect to right-handed Cartesian coordinates, let a = [2, 1, 0], b = [-3, 2, 0], c = [1, 4,…

A: Given: The vectors are a=2,1,0, b=-3,2,0, c=1,4,-2 and d=5,-1,3. To find: The value of the following…

Q: How do you multply decimals

A: Step 1 :- Ignore the decimal numbers and multiply as if there is no decimal numbers Step2:- Count…

Q: A line OP makes equal angle with coordinate axes then find its direction cosines.

A:

Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

A: Given the region y=2-x2 and the line y=x in xy plane.

Q: Suppose that S is a nonempty subset of R and k is an upper bound of S. The number k = sup S if and…

A: Given: S is a non-empty subset of R and k is an upper bound of S. To prove : Number k=sup S if and…

Q: Question: Which of the expressions below is true? • {5, 8, 10, 12} U {5, 8, 10} = {5, 8, 10} A^CnA=0…

A:

Q: Time (x₁) 0 Value 500 000 (y-f(x)) 1 2 3 375 000 281 250 210 938 4 158 203 depicts the value (in…

A: Since there are multipart, therefore here solutions of part (a) and (b).

Q: 2. Given points M(5,1,2) and N(2,4,6). Find a unit vector in cartesian coordinates: a. at point M…

A:

Q: An electromotive force E(1) = 120, 0t 20 t> 20 0, is applied to an LR-series circuit in which the…

A:

Q: a) Let y = 1*. Then 1x=0.5= dy dx dy |x=0.5 g'(0.5) = dx b) Let g(x) be the linear function so that…

A:

Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

Q: Draw the logic diagram for this expression: (p v q) ^ (!r v !q)

A:

Q: Write each of the following arguments in symbolic form, then state the validity of the argument with…

A:

Q: Using steepest descent optimization method, determine a minimum of: f(x) = x² + 3x² Starting from…

A: The function given is as follows: fx=x12+3x22 We are asked to find the minimum of the function using…

Q: the values of the elements of an RLC circuit are given. Solve the initial value problem di - i(t) dr…

A:

Q: polar form for the complex setup: (1.-1.i.-i)

A: Hint :   To write in polar form use formula  x = rcosθ  y = rsinθ r =x2+y2 and θ = tan-1 yx Then…

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: Given: The system of equations are  x'1=3x1+4x2  x'2=3x1+2x2 ;   x1(0)=x2(0)=1 To find: The general…

Q: A paint company is trying to recycle unpopular paint colours by mixing them together to create…

A:

Q: Find the instantaneous form for each of the following phasors: 20 (a) A, = j10a, +a (b) B, = j4e-*a,…

A: To find- Find the instantaneous form for each of the following phasors: As = j10ax + 20jay Bs =…

Q: Suppose that o(r) is a periodic solution of the following equation in R with period 2. 2y"(x) + y(x)…

A:

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A:

Q: 11. consider the following sets: U = {-5,-4, -3, -2,-1,0,1,2,3,4,5}, A = {x: x²= 25}, B =…

A: Introduction: If the components of a set can be arranged in perfect agreement with the set of…

Q: /3 0 0 8. (3) The matrix R=0 1 0 has 0 0 3/ (a) dominant eigenvalue (e) no dominant eigenvalue a O b…

A:

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given : x'=1-40-201006-12-1-60-40-1x  ; x1=e-t1001  ; x2=e-t0010  ; x3=et010-2 ; x4=et 1030 (a) To…

Q: 4. Find and classify the critical points of the given function by using Second Derivatives Test. 1 1…

A:

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given system is x'=3-20-13-20-13x First given vector is x1=et221 Now, x1'=et221 and,…

Q: 3. Let R be the region bounded by the following curves. Use the washer method (slicing method) to…

A:

Q: In each of Problems 11 through 14, find and plot both the steady periodic solution xsp(t) = C cos(@t…

A: Given : x''+6x'+13x=10 sin5t       ;  x0=x'0=0 To Find : Steady periodic sol and actual sol

Q: For each initial value problem below, determine whether our existence and uniqueness theorem…

A:

Q: Ex: Find the F. T. of the periodic rectangular pulse shown below X(t) Sols -To Cn=c -212 1 1/1 (n =…

A:

Q: 5. Let f(x,y)=2y² +3z² - 4p +6. Find the absolute maximum and minimum values of f on the region z²+…

A:

Q: 0.602xr (3×3!/4)=? (Gamma function)

A:

Q: Does there exists a graph with the following degrees; (a) 0, 2, 2, 2, 4, 4, 6; (b) 2, 2, 3, 3,…

A: Given: the given degrees are (a) 0,2,2,2,4,4,6; (b) 2,2,3,3,4,4,5 To check : Does there exists a…

Q: 1. Estimate the volume of the following solids by Riemann sums b) The solid lying above the…

A: What is Riemann Sum: The area under the graph of a positive function on an interval can be…

Q: 3 21 3. The all values of a and B, so that the matrix 4-3 1 4 is positive definite, are [2 B 2] (b)…

A:

Q: For each course at a university, there may be one or moreother courses that are its prerequisites.…

A: Given: There may be one or more other courses that are its prerequisites for each course at a…

Q: for the binary system if the entropy =0.9710, so the probabilities are: O a. 0.3 and 0.7 b. 0.2 and…

A: Sol

Q: A rectangular field is to have an area of 700 m². a. Write the perimeter, P, of the field as a…

A:

Q: A more detailed version of Theorem 1 says that, if the function f(x, y) is continuous near the point…

A: Given initial value problem is ydydx=x-1y0=1 So, we can simplify the differential equation as…

Q: Solve the following problem. Uzz(x, t) = Utt(x, t) + sin(3x), u(π, t) = 0, u(0, t) = 0, u(x,0) = 0,…

A:

Q: Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21,…

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

Q: 3- Determine the type of the singularity of f(z) sin (z) (Z-TC) 3x 4- Determine a such that the…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 03/: Find the area over the region R that lies inside the cardioid r=1+cose and outside the circle…

A:

Q: . Show that log(1) = 2nti, n = 0, ±1, ±2, ...

A:

Q: 3. A cubical vessel contains 2.048 cubic meters of water when half-full. The total surface area of…

A: