Question 1 Let C be a curve defined by the vector equation r(t)= <8t³ - 9t, 8t³ +7t, e8³-917. Show that the point a) lies on the curve C. b) at the point P. P(1, -15, e) Find parametric equations for the tangent line to the curve C

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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A: The given geometric sequence: 32, 38,332,.....

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A: We need to give equation of orbit.

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A: Given :fx,y,z=lnxy-zx2

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A: We can solve this as follows:

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A: To find the derivatives of the following functions.1 fx=sec x+3 csc x2 gx=x2 sin x-3x cos x+5 sin x

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Q: If ` f(x) = x^4 + 7, g(x) = x - 1 and h(x) = \sqrt(x) `, then ` f(g(h(x))) `= __________________

A: If , f(x)= x4 +7 , g(x)= x-1 , and h(x)= √x  find , f(g(h(x)))

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A: topic- differential equation

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A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

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A: We need to find y(40) and t.

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A: answer is in next step .

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A: Here we have to find the net area of the region above the x-axis bounded by y=36-x2 and the graph…

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A: Given.

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A: Solution is given below:

Q: Integrate √² +25dx Select one: О А. O B. O C. 2 √z²+¹ +In\√X² +1+z] + C + In √X² +1+x+C +In\√X²…

A: Note: None of the given option is correct in this question.

Q: 1. Find the Taylor polynomial p3 centered at a = 7/3 for f(x) = = COS I.

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Q: Sy²sin (2y) dy

A: Integration by parts.

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Q: -6 -5 -4 -3 -2 -1 5 of f(x) 4 3 2 1 -1 1 -2- -3- N 1 f(x) dx = 0 of f(x) dx > -5 Which of the…

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A: We can find the 5th term as below.

Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

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A: Understanding of the concepts of the Mean Value Theorem is required to solve these kinds of…

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