Find the component form and magnitude of the vector v with the given initial and terminal points. Then find a unit vector in the direction of v. Initial point: (-2, 3, -3) Terminal point: (1, 7, 0) v = %3D

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A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…

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Q: Fundamental Theorem of Calculus. The Fundamental Theorem of Calculus says: All of the statements are…

A: The given data is: The fundamental theorem of calculus says:

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Q: 6 Tangent Line. If p(x) = 5x² + 5x4 + 4 %3D Then the equation of the tangent line to the function…

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Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

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A: Area , A = ∫∫R dy dx

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A: Please see the answer below.

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Q: e2x :dx /1– ex

A: Given:        ∫e2x1-exdx  substitute u=1-ex→dudx=-ex→dx=-exdu  use e2x=1-u2      =∫u-1udu Expand:…

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Q: Integrals. Given that -1 5 | f(x) dx = -1 and -5 f(x) dx = -4, f(x) dx = 8 -5 5 what is 2F(x) dx? O…

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Q: 1. ſ e*sinx dx

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Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A: The given function,   f(x)=a+3x+2x2if x<24x2+6x+8if x≥2

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A: The given data is: Number of bunnies P=820 Growth rate r=20.75% How many months will it take for the…

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Q: fy any asymptotes, ex

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSc x…

A: Let's find.

Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry

Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral — 2х dx with n = 4…

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Q: Determine whether the statement is true or false. If it is true, explain why it is true. If it is…

A: The given expression,         ln(a)-ln(b)=ln(a-b) for all positive real numbers a and b

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Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

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Q: plz

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Q: Choose which of the following is the EXACT value for the area bounded by y = e" and y = -e' on the…

A: The region is bounded by y=ex and y=-e-x on the interval 1≤x≤2

Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

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Q: The function given below is discontinuous at x = 1 - 4 I1 O TRUE O FALSE

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Q: dx 7. S; x³ Vx2-4

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Q: Second Derivative Test. Consider the function f(x,y) = 4xy + 2ln(x) + 8y

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: From what I know when I was teaching high school students, they tend to use the so called "Two…

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Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

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Q: 1. If f(x)=1/x, which of the following is the simplified form of the difference quotient? * -h -1…

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Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

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A: A machine that was purchased 5 years ago for $66000 is worth $36000 today.

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan A: f(t)=3090000e0.02t⇒f(5)=3090000e0.02×5⇒f(5)≈$3,414,978

Q: The limit of a constant is always a constant. O FALSE TRUE

A: To proof the limit of a constant is always a constant. Let the function fx=k, here k is a constant

Q: 9. The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000…

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