Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: 25. A hemisphere has a radius of 3 cm. Draw complete with labels the cross section with equation of…

A: the derivation of moment of inertia is given as follow but mass is misssing.

Q: Question Given the function of f(x) = -4x2 - 5x + 1 on the interval [-5, -2), find a point c between…

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Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: 5x 5y 7x²47 7x+7 • 0). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

A: A detailed solution is given below

Q: ||F(t) × r"(})| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk

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Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

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Q: 15 dx +C + x2

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Q: What is the value of the definite integral 61 +2 dt?

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Q: Evaluate the indefinite integral. | x34 sin(x35) dx

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Q: Find the line integral of F = (6x - 3x) i+3z j+k from (0,0,0) to (1,1,1) over each of the following…

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Q: d) Producers' Surplus (Round all values to the nearest integer and do NOT use commas or dollar…

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Q: Evaluate the definite integral. 7t O e7 i - elj+ 1 k 2 7 O e? - 1 i+ (e 7 1 + k 2 O e' - 1 i - 7 1 k…

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

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

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Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

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Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: 3. S w°cosw dw

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Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) vi, V-i

A: The objective is to find the exponential form.

Q: Below is the graph of a piecewise function f(x). y 4 3 1 -5 14 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y= f\x)…

A: Please see the answer below.

Q: The number of bacteria P (h) in a certain population increases according to the following function,…

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Q: 1. ſ e*sinx dx

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Q: Identify the inside function, u = g(x), and the outside function, y = y = (x2 – 6x + 9)2 u = g(x) y…

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Q: 3. RK 2 %3D Write the equation in polar form: x + y = 225

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Q: 4. Determine if the Mean Value Theorem can be applied to the following function on the the given…

A: The given function,  f(x)=x1+x

Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

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Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

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Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: Suppose a person travels at a rate of 6 ft/hr toward the foot of a street lamp pole 61 ft high. The…

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. sin (80) d0…

A: The given integration,θ    ∫sin38θ dθ

Q: Domain. The domain of 8/x + 8 g(x)=. 3x2 - 12x + 9 can be written: O (-0,3) U (3,8) U (8,00) O…

A: The given function is: gx=8x+83x2-12x+9 To find the domain of the function g(x).

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: Given integral ∫13 2x+6x2+6x+2 dx

Q: Use implicit differentiation to find the specified derivative at the given point. Find dx dy at the…

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Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: Differentiate the function f(x) = x^1/3 f'(x)=

A: Given query is to find the derivative of the expression.

Q: 9t + 8 dt t

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Q: Find the area of the triangle with vertices P(1,3,–2), Q(0, 0,0) and |R(3, 5, 1). NOTE: Enter the…

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

A: The solution is given below

Q: You are driving a car away from home. Your velocity​ (miles per​ hour) t hours after noon is given…

A: Given:       vt=-5t4+40t3-149t2+180t  Distance you drove between 1:00pm and 2:15pm is given by…

Q: The graph of a piecewise-linear function . for-15xS 4. is shown above. What is the value of (A) (B)…

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Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

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

Q: 1. Given z, = 5 cos 377 +i sin 37 and z2= 37 +i sin 2 find z,z2 where 0se< 2x. cos 2 2 37 +i sin 2…

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Q: (-1)" Clasificar la serie como absolutamente o condicionalmente convergente E1 n5 O Diverge O…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t< T L = %3D

A: To find the arc length of the parametric curve.x=8 cost, y=8 sint, z=6t; 0≤t≤π

Q: The table shows the marginal cost for a company's product at various production levels. Marginal…

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = 3(-4,3) %3D (a) u v (b) (c) ||v||2 (d) (u…

A: The solution is given below