P is a point on the hyperbola 1, N is the foot of the perpendicular from P on the transver axis. The tangent to the hyperbola at P meets the transver axis at T. If O is the center of the hyperbola, then find th value of OT × ON.

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A: y=x2x=y2

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Q: Let v = (−2,3,0,6). Find all scalars k such that ∥kv∥ = 5.

A: The given vector v=-2, 3, 0, 6. We have to find all scalars k such that kv=5.

Q: of 2 + [y] 8+ {2 ²³ = 12; n 3+2=13°54 and {n} + y + 2-472 y + [2] = 14.7 then find

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Q: 2020 to Σ J=1 λ-γ 2020 + Σαν ελεγξ γει – 2020

A: ∑r=12020n-r+∑r=12020n+r=2020

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A: given that:order of matrix A =4×5order of matrix B=4×5order of matrix C=4×2 order of matrix D=5×4

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Q: centroid of the region shown, not by integration, but by locating the 2 0 -2 -3 -2 y -1 0 1 2 3 X

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Q: Problem 5 multiplicative and satisfies f(n) = 0 for all n > 4. Justify your answer. Is there a…

A: Sol:- Yes, there exists a multiplicative function f(n) that is not completely multiplicative and…

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

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A: Given the height of subsequent bounces, Bounce Height (m) 1 500 2 400 3 320

Q: Exercise 1.4.4 (Hard): Construct an explicit bijection from (0, 1] to (0, 1). Hint: One approach is…

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Q: What is the largest, negative inverse of 97 modulo 3431?

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Q: - Determine the values of a such that the vectors are linearly independent. 1 ·· 1 2 4

A: given vectors=122,-102,2α4 we know that three vectors x1y1z1,x2y2z2andx3y3z3 is linearly independent…

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A: We have to find the hydrostatic force against one side of the plate as an integral and evaluate it.

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Q: QUESTION 2 (a) Use the power series to find the solution to the IVP given below. (²+1)-6ry…

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A: The equation of the hyperbolas are  x2a2-y2b2=1...(i)y2a2-x2b2=1...(ii)

Q: e critical points

A: The given function is f(x,y)=(x2+y2)ex2-y2.

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Q: 3. Determine the truth value of each of these statements. The domain for every variable is the set…

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Q: 4. Profit maximization in the cost-curve diagram The following graph plots daily cost curves for a…

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