6. Evaluate: lim x² +16 X-4 X-4

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Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

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Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

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A: Topic = Functions

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A: Topic - Projection of vector Projection of vector u along v=u.vv2v

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Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: 1. f(x) = (x+4)² 2. f(x)=√x +3 +40 CHI

A: 1. Parent fuction will bef(x) =xto understand better I have drawn the graph using online tool (will…

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Q: 3. X+Y)/4=5Z

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Q: 3. X+Y)/4=5Z

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Q: A company produces wooden tables. The company has fixed costs of $2100, and it costs an additional…

A: fixed cost=$2100additional cost per table=$40

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A: we have to find the value of x which satisfy the given equation.

Q: Consider the graph of the one-to-one function shown in the figure below. 10 y 8 6 4 2 2 4 6 8 10 X

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Q: Solve for a. 8. 9a = 16 - a² 9. 54 = a¹

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A: I am attaching image so that you understand each and every step.

Q: 59. Horizontal; containing the point (-3,2)

A: find an equation for the line with given properties.

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Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12

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Q: 6a + 24 3a-24 2 으 - a -16 a ²-2a-48

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Q: For each function below, find the derivative. DO NOT use decimals in your answers. If f(x) = 2x5…

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Q: -Example: Find a harmonic Conjugate for U= X x²+y²

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Q: 3 4 y=2xt (1, 2) 3 x L is perpendicular to y = 2x

A: Equation of line L ......x+2y-5=0 For detail...go through the solution

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A: We have to compute quotient difference in this question.

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A: Given; n=&lt;7,-5,4&gt; Point (1,-5,1).

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Q: PV n=KI Solve for x using the system of equations. 6. 7y = 5x and 35 + 4x = 3y 9 + 3x = 2y and 5yx =…

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Q: 7. Evaluate: lim h→0 √9+h-3 h

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Q: y 10+ 8 6 4 2 2 6 8 100 10 X

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Q: Consider the method of Variation of Parameters for solving the general linear equation of first…

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Q: Assume that u v = 5, ||u|| = 5, and ||v|| = 8. Calculate the value of (4u + v) · (u – 5v). (Give…

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A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

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Q: valuate: fe²z cos(e³)dz = + C Hint: Rewrite e² = e.e²

A: Please refer to the image below

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