a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with equation Vector r = (6, 1, 1) + t(−2, 1, 3). b)Determine two other points on this line. [

Q: 1 1 If g' (3) = 6 and h'(3) = 20, find f (3) for f(x) = g(x) +h(x). f(3) = (Simplify your answer.)

A: This is a problem related to differentiation. Please follow the general procedure given below.

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A: Let's find function or not.

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A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

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A: Here, note that, annual Cash flows = Net income + Depreciation…

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A: If 0<x-8<δ, then -4x+32<ε

Q: Solve the initial value differential equation: (x² + 1) + 3xy = 3x where y(0) = 2

A: Given Differential equation,x2 + 1dydx + 3xy = 3xandy0 = 2

Q: Find u - v, 2(u + 3v), and 2v - u. 8 u = (6,-8, 4, 3), v = (-2,3-3-1) (a) u-v=

A: Please refer to the image below

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A: Let's solve given diffrential equation.

Q: 1. -5 cosh x 3 2+3sinh x dx

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Q: Determine the remaining sides and angles of the triangle ABC. A 140° 40', C = 20° 20', AB = 3

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Q: ¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope…

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Q: y=x^3+5

A: Please refer to the image below

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Q: 1.6 Suppose that For each function h given below, find a formula for h(x) and the domain of h Note:…

A: The solution is given below

Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: -5 M -3 -2 5 4 3 -1 3 -5 3 4 a The function graphed above is: Increasing on the interval(s) Submit…

A: Check minimum and maximum value of the function  Before  minimum value function decrease and attain…

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Q: 2. Solve the DE: -+secx(y-2sec³x+2 sec² x tan x) + y cotx=0 dx

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Q: Solve: f b. Od In(Ink) dk 2k (Ink) In[In (Ink) - 1] Ink [In (Ink)-1] In(Ink)-1 k In (Ink) - 1

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Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

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Q: ∞ Σ(-1)k+1 k=1 3 5k + k 3 2k + k +5 k Select the correct choice below and fill in the answer box…

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Q: [²₂ 0 y√2y - y²dy

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Q: 12) 3 Find the first derivative of f(x)= -2 3x

A: The objective of the question is determine the first derivative of the given function.

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A: Let's solve.

Q: - Save & Exit Certify Lesson: 1.6b Operations with Functions Question 1 of 10, Step 1 of 1 If f(x) =…

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Q: n = 10, approximate the integral S Give the error of approximation for each 2 cos xdr

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A: Consider the graph of the function

Q: n = 10, approximate the integral S Give the error of approximation for each r cos rd.r

A: We need to approximate the integral.