Do the points (4, 3, −4), (4, 1, −1), and (4, 9, −13) lie on the same line?

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A: Given function:- fx,y=x3-5xy-9y2

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A: Topic - Complex numbers We are given, (5*9i)=A+jB (8i*8i)=C+iD ;i8(4+4i)=E+iF ;(5+9i)(2+5i)=G+iH and…

Q: UPVOTE

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Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

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Q: Let z дz ?x дz ду = = Gexy³. Then:

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Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

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A: Given,

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A: y=(x^3-6x)(2-4x^3) apply product rule y=uv dydx=udvdx+vdudx

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Q: Solve the DE (6x + y2) dx + y (2x - 3y) dy = 0. Hint: Exact O 3x^3 + xy^2 - y^3 = c O 3x^2 - xy^2 -…

A: Given differential equation:- 6x+y2dx+y2x-3ydy=0

Q: General solution 1. y = cx+c²+1 2. y² = 4ax 3. y = 4 + ce³x dy dx Answer (ODE) y=xy' + (y)² +1…

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Q: 5. Rewrite the expression as an algebraic expression in x. X cos( 1¹ (3)). H≤3 |x|≤3 (a) cos sin

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Q: 4. y=x+c₁e* + C2e-* y" -y + x = 0

A: Since you have posted multiple question, I can do first question as per our company guidelines.…

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). Q Ay Q (a) Select…

A: Topic: Limit and Continuity     The answer is given below:

Q: 1/2 4x³ 4x-3 5. S₁13 +2 -2 X - X dx

A: Let's solve given integration.

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A: In such type of problem we generally use the pythagoras triangle rule . ie.x2+y2=z2

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Q: 1) If f = {(0,4), (1, 5), (4, 7), (5, 9)) and g = {(-1, 3), (1, 5), (2, 6), (4, 9), (8, 10)),…

A: Let's solve for all function.

Q: Write an equation for the function graphed below. -6-5-4-3-2 g(x)= 5 2 4 my 2 + ty -3 77 56 -5- 2234

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Q: limx→6(x+4)2(3x−2) Evaluate the limit , thank you

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Q: (5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U…

A: We need to find out the integration by using trigonometric substitution.

Q: Əf Əf Find and дх ду 2 f(x,y) = √x² + 3y2

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Q: 7) Write the algebraic representation for the given piecewise function, using function notation. (…

A: When x≤1f(x) is the upward parabola with vertex (0,-2)

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Q: f(x)=x^3(x+3) *differentiate the function

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Q: Question 4 Find the limit: lim, o O infinity O O (E) 1 O-1 0 0 sin(x²)

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Q: 3. (y²-2xy +6x) dx- (x²-2xy +2)dy=0

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Q: Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3)

A: Need to find out the standard form of the equation of the circle.

Q: 13. Find the point (x, y) on the curve y = x² + 1 that minimizes the distance to the fixed poi (4,…

A: Given curve:- y=x2+1 We know distance between points x1,y1,x2,y2d=x2-x12+y2-y12

Q: 1. Calculate the following limits (showing all working): log₂ (n) + 2n no log3 (n) + 3n (a) lim √7n7…

A: We have to find the limits.

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Q: Find the required quantity. 2x-1, 1. At what point/s will the tangent/s to the curve y=- 2x+1 be…

A: Given curve is y=2x-12x+1and liney-4x+3=0y=4x-3 Slope of line m=4 Slope of tangent to the curve…

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If f(1) = 8, write an ordered pair that must be on the graph of y = f(x - 11) - 7.

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Q: Use the graphs of f and g to answer the following about h(x) = f(2g(x) + 1) -2 -1 y 6 5 4 3 2 1 -2 1…

A: Given hx=f2gx+1

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A: To find ordered pair that will be on graph after the transformation done.

Q: 3. Determine the following limit (tabulate). sin (t-1) lim t1 t²+2t - 3 O-1/4 O ⁰ O None of the…

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Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…

A: Given, B(t)=3.0+0.25sin2πt5.2