g(1) f(x) dx

Q: In the given question  as follows  ,determine whether the statement is true or false. If it is…

A: x=ft  &  y=gt Differentiating with respect to t, we get dxdt=f't  &  dydt=g't Now,…

Q: Then show that Their G.M is equal to the A.M and H.M lie e=dAXH - CM of their

A: First we determine A.M, G.M and H.M of positive numbers a and b.

Q: Point F is on line segment EG. Given FG 5a + 1, EG = 5x +7, and EF = 2x 2, determine the numerical…

A:

Q: Suppose E, F C S with Pr[E] = 0.2, Pr[F] = 0.5 and Pr[E' n F] = 0.45. What is Pr[E\F]?

A: By law of total probability, we have: P[F]= P[F∩E]+P[F∩E' ], so  P[F∩E]= P[F]-P[F∩E' ]=…

Q: That is, T'(1) = %3D

A: Given, a recurrence relation T(n) corresponds to the natural numbers, but that "skips" multiples of…

Q: If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2…

A:

Q: If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: The first line is of the form Ax+By+C=0and the second line is of the form Dx+Ey+F=0 As the first…

Q: In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be…

A: Given: PQ⏜≅RQ⏜PS⏜ ≅RS⏜

Q: Vx e Z, 3y e R, y² = x

A:

Q: What is the value of k if any So kxe* dx = 1

A: This question is taken from the Definite integral in which we have to find the k value by solving…

Q: Given, u=x-y Which of the following is correct ? Analytic

A:

Q: Let p and q be integers with q > 0. If y = x, differentiate the equivalent equation y = x°…

A:

Q: Use the fact that dim(R(A)) = dim(C(A)) to explain why rank(A) = rank(A").

A: Here we can use the fact that  rankA=dimRA to prove the identity.

Q: Complete the following formal proofs. 1. (C > D) ^ (E →F) 2. (F^D)→ G 3. -G 4. -(F^ D) 5. -F v -D 6.…

A: We fill the blanks of the given formal proof by using rules of inference.

Q: d? -(A+B) at t = 1. di?

A:

Q: Find the d. c. of T from definition.

A:

Q: Let a e R" and let A = aaT. Show that xT Ax = (a" x)².

A:

Q: Solve the following problem du = 0 ; x € (0, 1) ,t > 0, u(0, t) = u(1, t) = 0, u(x,0) = %3D %3D

A: Given partial differential equation is, uxx-ut=0       ..............1 With condition u0,t=u1,t=0,…

Q: If fó f(x)dx = n , f, 79(x) dx : 7, and g(x) dx = 2, what is the value of S, g(x) dx?

A:

Q: The distance, d, from (x, y) to the origin is d = If (x, y) lies on the graph of y = x², we can…

A: We know that distance d between the points x1,y1 and x2,y2 is given as d=x2-x12+y2-y12          ⋯⋯1…

Q: For the error term u, assuming that E[u] = 0 implies E[u|X] = 0 and vice versa. %3D

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: If (x, y) is any point on the unit circle, and t is the distance from (1, 0) to (x, y) along the…

A: x, y is any point on the unit circle and t is the distance from 1, 0 to x, y along the circumference…

Q: ind a,b and c so that the quadrature formula has the highest degre | f(x)dx % af(-2) + bf(0) + a=1/6…

A:

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

A:

Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

A:

Q: The discriminant of ax? + bx +c = 0 is defined by-

A:

Q: Suppose that m BC = 122°. Find the followi (a (E B

A:

Q: (-1+i/3)°, by using deMoivre 's theorem

A:

Q: Let U = x'e . Find dU .

A: The given function is: U=x2eyx Therefore: dU=∂U∂xdx+∂U∂ydy

Q: Prove that if r - Geom (p), then E (x²)

A: Here, X~Geom(p).

Q: Which of the following equations determines E(XY)? »(x, x y (х, у) ,(x,

A: we have to determine the correct option of E(XY)

Q: Write a in the form a = arT + aN N at t-0 for R(t) = t2i + %3D (t+r) + ( -r°*

A:

Q: The distance, d, from (x, y) to the origin is d =______ . If (x, y) lies on the graph of y = x3, we…

A:

Q: Find d. dr /1 + x²

A: We have to find the derivative and then anti derivative.

Q: The height of a ri represents the ra f (r) = D %3D

A: Given the height of a right cylinder h=4rWhere r is the radius

Q: find the length of the arl 30 rse from f=0 to 0 =2

A:

Q: f(«, у, 2) — sec (9г + 3уг) fa = | fy = f: = ||

A:

Q: Determine all values z ∈ C satisfying  e^z = −2i.

A: ANSWER :

Q: In circle F with mZEFG = 88, find the m/EHG. %3D H F

A:

Q: Resuelva y "+ y'– 6y = 2x por coeficientes indeterminados.

A: Given

Q: Guen8 DH JL DIJKIDJ DK Prove%LH LK

A:

Q: Use the properties of E(X) to prove that E(aX +b) = a E(X) + b.

A: For a random variable X, the expectation of X is defined as E(X).

Q: Prove that if æ - Exp (A), then E (x) = X. 2~

A: Here,x~Exp(?)

Q: ue of a and c are and

A:

Q: Co

A: Given that: The Taylor series for f(x) = ln (x) at c = 3 is ∑k =0∞ ck ( x - 3)k .

Q: Write a in the form a = arT + an N at t-0 for R(t) = t2i +

A:

Q: dual LP problem.

A: We have the primal problem : Minimize   c=s+3t+uSubject to 5s-t+v≥1,000u-v≥2,000s+t≥500s,t,u,v≥0 We…

Q: Find f, and f and evaluate each at the given point. F(x, y) = e*y?, (In 4, 2) f(x, y) f,(x, y) =…

A:

Q: Another change of variables that can beinterpreted geometrically is the scaling u = cx, where c is a…

A: To prove: ∫abfcxdx=1c∫acbcfudu         ...(1) For fx=sinx where a=0, b=π and c=12.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.