Normals are drawn to the hyperbola = 1 at points , and meeting the conjugate axis at G₁ 3² :d G₂, respectively. If 0, +0₂= 7/2, prove that CG, CG₂ where C is the center of the hyperbola and e is its a²eª 2-1'

Q: Given gamma is the curve defined by R(t) = ti + tj + tk, for t [1, infinity). How would I evaluate…

A:

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

A:

Q: Let A and B be two events in a sample space S such that P(A) = 0.5, P(B) = 0.5, and P(A ∩ B) = 0.21.…

A: Given: P(A)=P(B)=0.5  And P(A∩B)=0.21 We know that P(A|B) = P(A∩B)/P(B) And P(B|A) = P(A∩B)/P(A).

Q: Expand the given function in a Taylor series centered at the indicated point zo. Give the radius of…

A:

Q: A prize winning animal is going to be shown at the State Fair. A pen must be constructed to hold the…

A: Maxima is defined as the point at which function at the maximum point on the curve. Minima is…

Q: Draw a Venn diagram for each of the following a. A n BC b. (A UB)C

A:

Q: - The equation of three circles are given x² + y² − 1,x² − y² − 8x + 1 x² + y² + 10x + 24 = 0…

A: We know that the point from which the lengths of tangents are equal in length is the radical center…

Q: Let A be a 5 x 3 matrix. If b = a₁ + a₂ = a₂ + a3 then what can you conclude about the number of…

A: Let A be 5×3 matrix. Given that b=a1+a2=a2+a3. To determine number of solutions of the linear system…

Q: EASY Discrete Mathematics - I will like: A well-defined function with domain X and co-domain Y must…

A:

Q: A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is drawn…

A:

Q: Illustration 7.29 Tangents drawn from the point (c, d) to the hyperbola 1 make angles a and ß with…

A: Any tangent to the hyperbola is given by               y=mx+a2m2-b2It passes through (c,d) , so…

Q: that if a is congruent

A:

Q: Provide an example of a function from the set of all integers to the set of all negative even…

A:

Q: 5. If ged(a, n) = 1 then the order of a in (Z/nZ)× is the smallest integer i such that a¹ = 1( mod…

A: Since gcd(a, n) = 1, then             aφ(n) ≡ 1 (mod n)  Now, let order(a) = k.        => by…

Q: differentiate with respect to x. (x² +1)(x+3)¹/² x-1 y=(sin x)* Use logarithmic differentiation. y=…

A:

Q: Determine whether the matix is exchange matrices. If it is exchange matrix, find a nonnegative price…

A: Given:  A matrix A=0.300.20.30.50.30.40.50.5. To Find: Determine the matrix is exchange matrices, if…

Q: Use the definition of limit to prove limz-z0 xz^2 + c = az0 ^2 + c.

A:

Q: Let p be the proposition "(3) is a natural number" • Let q be the proposition "The product of three…

A:

Q: • Let p be the proposition “(3) is a natural number" • Let q be the proposition "The product of…

A:

Q: Draw the surfaces z = f(x, y) = x2 + y2 and z = g(x, y) = 8 − x2 − y2 and calculate the volume of…

A:

Q: if x # 5,0, -5 if x = 0 if x = 5 if x = -5 10 (a) Classify all the discontinuity of the function…

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: We have to find directional derivative of given function at (0,1) in the direction theta=π/4 Given:…

Q: 4. Use DeMorgan's Laws to write the negation of the following statements. a) The connector is loose…

A:

Q: Let us define a. Verify that f(x, y) = xy(x² − y²) x² + y² af y(x² − y² + 4x²y²) (x² + y²)² əx b.…

A:

Q: answer the ff

A: 2. Given the differential equation,                        (1+y2)dx+(1+x2)dy=0.

Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

A:

Q: In a population of 100,000 people, 30,000 are infected with a virus. After a person becomes infected…

A: Given: Total population = 100,000 people, Persons are infected with a virus =30,000  5% will die…

Q: Show that the matrix is invertible and find its inverse. 9] A-1 = A = sin 8 [₁ cos Ꮎ -cos 0 sin 0

A:

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A:

Q: 1. What would your guess (or trial) solution be, while determining a particular solution using the…

A:

Q: A 50-gal tank initially contains 10 gals of fresh water. At t = 0, a brine solution containing 1 lb…

A: P = Amount of salt remaining in the tank at time t Rate at which the solutions enter : rate in  =…

Q: Find the absolute maximum and minimum of f(x, y) = x + 5y within the domain x² + y² ≤ 4. 1. Absolute…

A:

Q: Subtracting a number from half its square gives a result of 11. What is the number?  Express you…

A:

Q: The pressure P(x, y) at a point (x, y) = R² on a metal membrane is given by P(x, y) = 100e-x²-2y².…

A: In this problem, we are given a function P(x,y) that represents the pressure at a point (x,y) on a…

Q: Find X. x3 = t₁ tER 10-716 00 - 11/2 _131 0173 0 0 -322 0 A 15 0 0 10 173/10 00001-63/5

A: Given ,                1 0-76 0 0  -131120 173 0 0  -322150 00 1 0  173100 00 0 1 -635   let  x =…

Q: Consider a temperature-sensing network consisting of N sensors, deployed on an interval X in R. Let…

A: As per the question, we consider a temperature-sensing network consisting of ℕ sensors, deployed on…

Q: pair of fair dice is rolled. Let E denote the event that the number falling uppermost on the first…

A:

Q: If the rank of a 5x7 matrix A is 5, what is the dimension of the solution space Ax=0? The dimension…

A:

Q: (7) (a) Use the dot product to show that the points (2,5,3), (-2,9,1), and (14,-7,9) are on a line.…

A: The given points are 2,5,3,-2,9,1,14,-7,9. The line containing the given points is L. Another given…

Q: The line 2x-y+1=0 is tangent to yhe circle at the point (2,5) and yhe center of the circle lies on…

A: Center lies on x-2y=4.let the center be C(4+2t,t).nowradius r=distance of from the…

Q: with fixed boundary conditions, that at t = 0 satisfies z(x, y,0) = A sin(2x) sin(5y), z(x, y, 0) =…

A:

Q: 7. For the differential equation (1-2x)y" + 2y' + (2x-3)y=e³ (a) Write the associated homogeneous…

A:

Q: Find the equation of the tangent at the endpoints of the diameter - of circle (x − a)² + (y – b)² =…

A: Diameter makes an angle 6 with the x-axis.Therefore,Slope of diameter AB=tanθ∴Slope of tangents at A…

Q: f a card is drawn at random from a standard 52-card deck, what is the probability that the card…

A: Since we have that total numbers of card is 52.(a) Number of heart cards is 13.           The…

Q: | f(x) = x² +1¹ ¤ ¤ R Of = {(x, y) = RxR | y=x²} ○ f(x) = x³ − x, x = R, |x| > 1 □ ƒ (x) = (x − 1)²,…

A:

Q: Find the absolute change and the relative change in the following case. The average sale of a house…

A:

Q: Compute the exact value of each of the given limits. Enter DNE if a lim √7-a a-7- a= lim √7-a= a-7+…

A: given function ⇒                            f(a)=7-a

Q: Equilibrium: Exercise Finding the equilibrium; solving systems of linear equations Given are the…

A: Advance maths

Q: Assume that a refrigerator is maintained at a constant of 45°F and that an object having a…

A: We have  Temperature of refrigerator Ts = 45°F  Object's initial temperature T0 = 80°F  Object's…

Q: (name the rules used) or as demonstrating a logical fallacy. (a) If it is a Friday during Lent, Ada…

A: