: x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1. 2. Find the point-normal equation of the plane perpendicular to T and containing Y 2 = z + 1.

Q: Focus at (-5,5); directrix the line y=3

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A: The objective is to find the limit.

Q: 18. Suppose≤0 ≤ and sin0 = Evaluate cos ㅠ 0

A: Topic:- trigonometry ratios

Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹25). = 1.…

A: We can solve this as follows:

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Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

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Q: 4. State the domain and range of the inverse of the following function y=2√x+1,

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Q: Proor: Let † and g be one-to-one functions. a) Prove that (a) fog is one-to-one b) Prove that (b) (ƒ…

A: We will prove this using the concept of one to on

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A: To find the volume of a solid obtained by rotating the region enclosed by the graphs y=19-2x, y=5,…

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Q: For the curve: f(x)=√x-5 the equation of the tangent line when x=9 is Oy--(x+1) Oy--1(x-1) y= Oy- (x…

A: This question can be solved using the concept of tangent and normal.

Q: a) à-2b b) ||a+b|| c) ab a=,b=

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

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Q: Given R = = [² (³ + + ²) - (² + 4)] i n n a= So integral, that is provide a, b and f(x) in the…

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Q: etermine the appropriate rotation formulas to use so that the new equation does not contain any…

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Q: Use an appropriate test to determine whether the series converges. 2(k!)4 9(4k)! Σ k=1 By the this…

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Q: Which of these equations represents a line that is perpendicular to the line in the graph below?

A: Two lines are perpendicular if the product of their slopes is equal to -1

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Q: Using the Factor Theorem, which polynomial function has the zeros 5 and 4-5/? Ox²-9x-5x + 25/+20…

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Q: Calculate Sc 2xyds, where C is the arc of x²+²=4 from the point (2,0) to the point (1,√3)

A: We know that ∫C f(x,y) ds=∫ab f( x(t), y(t) ) dxdt2+dydt2 dt

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Q: Which of the following shows the expansion of 2-5n? n-0 O(-18) + (-13) + (−8) + (−3) + 0 O(-3) +…

A: To find the expansion of the given expression, substitute n=0,1,2,3,4 in the given expression.

Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

A: The given function is f(x)=5sinx+sin2x, [0,2π]

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Q: if y = (x - 1)(2-3x)² Determine the slope of the tangent at (1, 0) 0-1 01 0-5 05

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Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d da 12 to dt =

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Q: If f(x) = 1 - log5 x, then f-¹(x) =

A: Given that f(x)=1-log5 x , then our aim is to find the value of f-1 (x)=?

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