9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint); + In (1-t)k at t=0

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Q: Use linear approximation, i.e. the tangent line, to approximate 1.97 as follows: Let f(x) = x7. Find…

A: Given, y=f(x)= x⁷ Slope of the tangent is given by , f'(x)=d(x⁷)/dx f'(x)= 7x⁶

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Q: S # 3 X Use the fundamental Identities to simply the expression. 1) tan & coft 2) cos²0 2 +CSCO sint…

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Q: The result of the following dot product (- 2j + 3k) · (−2ī +2j - 2k) is b. -6 c. 0 a. -10 d. 10 e. 6

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Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

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Q: 2. Evaluate x sin xdr using integration by parts.

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Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

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Q: 3 را (x) = 2x+7 cl if -5 ²x C1 X = 1 8 If 12X=3 7 11x-2 31 if x > 3 A) use 3-step formula B) is f…

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Q: Calculate the are bounded by the curves: B. y = ln x and x - y - 4 = 0

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