Show that : %3D tan 0 tan (0 + 60°) + tan 0 tan (0- 60°) + tan (0 + 60°) tan (0 – 60°) = – 3.

Q: Using integration by parts, find the Laplace transform of the given function; n is a positive intege...

A: Given f(t)=tneatwhere n is a positive integer and a is real constant. We have to find the Laplace tr...

Q: The set S contains some real numbers, according to the following three rules (i) 1/1 is in S (...

A:

Q: 2. Given a function whose graph is shown below. The function is continuous on(-0o,-5). O Always True...

A: Given, graph of function we see that the graph is discontinuous at x = -5.

Q: prove that C+Ã +3 = ARC Using the truth table

A:

Q: 2. Given the data 0.2 0.4 0.6 f(x) 1.9934 2.1465 2.2129 2.1790 0.8 1.0 1.2 1.4 f(x) 2.0683 1.9448 1....

A: We can solve this by using given data and formula of Central difference

Q: Find the length of the vector (12, 4, 4). O 8.75 О 5.18 O 13.27 O 7

A: Length of the vector

Q: The rationalisation factor of 2 /3, is a) 2-3 b) 2-V3 d) 2+3 ) V3-2 3.

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not defined....

Q: ach to solve omogeneous ential equatior

A: Given - The differential equation To find - Use the superposition approach to solve the given non-h...

Q: Evaluate the lim x + 3 2r2 – 3x + 1 5x +4

A:

Q: 2. Jr.,(x) + Jvo, (x) = 2Y Jv (x) Ju (X) I need two examples to prove this property using the same v...

A:

Q: ) Suppose that the statement p →¬q is false. Find all combinations of truth values of r and s for wh...

A: We have to find the combination of truth values of r and s.

Q: A В C Figure 1: Graph of y (a) Apply Intermediate Value Theorem to find the smallest interval (a, b)...

A: given function y=4x5+2x4+7x2-26x+ex-4 a) apply intermediate value theorem to find the smallest inter...

Q: one of the More important the orem {n real analysis is faton's Iemmar state the lemma aud say some t...

A:

Q: OLet Faffasb)tairbeR} and + defined on AF as fellows! (asb) +ceod) = (atc,b+d) (arb).ccod)= (ac, bd)...

A:

Q: Change to polar integral 0. e -(z?+y?) dydx 0 -/1-z2 re drde O re drde 5ire "drde re drd0

A: Cartesian co-ordinate and polar co-ordinate  x=r cosθy=rsinθx2+y2=r2θ=tan-1yx

Q: CHECK YOUR PROGRESS the relations A, B, C defined below are functions from X to Y? Let X = (a, b, c)...

A: Given: The sets X=a,b,c and Y=1,2,3,4   To determine: If the following relations are functions from ...

Q: Question 4 Determine the inverse Laplace Transform for the following function (answer should be in t...

A:

Q: The value of the line integral S(2xy² dx + 2x?ydy + dz) along a path joining the origin and the poin...

A: To find the value of line integral  ∫c(2xy2dx+2x2ydy+dz)along the path joining origin and point (1,1...

Q: lution of the part os x) = cos y is %3D

A:

Q: The difference between divergence and curl is represent vector field O true O False

A: True

Q: Exercises -4x + 10y = 1 olve the following using the inverse matrix method: 6x y = 0 4y = (a) 2x (c)...

A:

Q: Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = 3x-20x...

A: We will use synthetic division and remainder theorem to answer the given question.

Q: 9. Prove the following statement by contrapositive. "Va, b e Z, if ab is odd, then a is odd and b is...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 9th question.  Please s...

Q: English the converse, contrapositive and negation of each statement and c). b) If its not raining an...

A:

Q: a) Expand in fourier series the perio dic Lunchion X+2, -2<x <-I 1lk+4) = 4La), xEA and SX+2 , -2 <x...

A: Given the function is fx=x+2-2≤x≤-11-1≤x≤12-x1≤x≤2

Q: EX show that 2. J능 (x)

A:

Q: 4-Vx lim х-16 16х-х2

A:

Q: (3,8, 3) The cross product of the two vectors u = and v-(7, 1,5) is the vector : Select one: w = (37...

A:

Q: prove that C+Ā +3 C+A +B ARC Using the truth table

A:

Q: Assessment 1. Directions: Identify each shape by shading the appropriate boxes. 1. Convex Convex Con...

A:

Q: of T2, T-:

A: Consider Tn={n, n2}, where n is an integer. The objective is to find the number of elements in each ...

Q: Find the laplace transforms of (te^tsin(at))^a , when a= 1

A: The Laplace transform of a function f(t) is defined as Lf(x)=∫0∞e-stf(t)dt. In this case we have to ...

Q: If f(t) = t – 5 and g(t) = t² – 3t + 3 then g(f(2)) =

A:

Q: Question 55. Suppose y(x) is the solution to the given initial value problem dy (In x)s y(1) = 2 dx ...

A:

Q: Rodrigo practiced playing the guitar  16 1   3  hours over the past 3 weeks. He practiced for  6 1...

A:

Q: power expansion of (e^x)/1-x

A: Given f(x) = ex1 - x

Q: Consider a solid with uniform density bounded above by the sphere x^2 + y^2 + (z - 1)^2 = 1 and belo...

A:

Q: (a) Show that e /yu dy exists, by considering the series (e/n)". (b) Show that 1 (log n)los n conver...

A: We have to show that (a) Show that ∫0∞ ey/yydy exists, by considering the series ∑n=1∞ (e/n)n. (b)Sh...

Q: 3.) Prove: Given an integer n, show that a. If n is even, then n - 1 is odd. b. If n - 1 is odd, the...

A:

Q: 14. Show that if f is a monotone function defined on [a, b] that satisfies the intermediate value pr...

A:

Q: 3. Let f : A → B. Then 1gf = f and f14 = f. Hint. You may use the fact that fg, for functions f, g, ...

A: Let               f1 : X→Y , f2 : X→Y be two functions, then we say that the functions f1 and f2 are...

Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2ĵ...

A: Remark: We know that the directional gives the rate of change of a function at a specific point in a...

Q: 14. Find a 3 x 3 matrix A that has eigenvalues A = 27, 45, and -9 with corresponding %3D eigenvector...

A:

Q: A nut shop packages mixtures of different nuts for sale. From peanuts, cashews and almonds. The cost...

A: Let x represent number of pounds of peanuts, y represent number of pounds of  cashew and z represent...

Q: Con sider X={,2, --., 106? togcther with the largest 8-algebra p(X). capower set of x). Define 1 if ...

A:

Q: Find modulus and argument of: a. (5-7i)(8+5i) b.  (√3 +i)/(√3 -i)

A:

Q: dy (x + 1)+ y = In x dx У(1) 3D 10

A:

Q: Differential Equations using the method of undetermined coefficients y"+9y=6cos3x with y(0)=1 , y'(...

A:

Q: 3 10. 4 2

A:

Q: Find the Equation of the line that passing in point (3,5) and parallel or perpendicular to the 4x-y-...

A: