te the vector shown below as a combination of vectors u and shown above tor= U 7+ 15

Q: 8. Find the limita lim Cos (0) - 1 6-0 Sin (0)

A: Topic = Limits

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Q: Solve the equation for 0 ≤ 0 < 2π. Show all work.. cos²0 sin² 0 = -2- 3 cos 0

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Q: 1)Find where continuous at constants a) Let f(t) = 2t √t+c for t < 2 for t≥ 2 Find c such that f is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given: sin = 4/5 and cos x =  -5/13; evaluate the following expression. : Quadrant I, x : Quadrant

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Q: Consider the differential equation dekp² + c where k>0 and c20. In Section 3.1 we saw that in the…

A: The given differential equation is: dPdt=kP1+c, k&gt;0, c&gt;0 Initial condition P0=10, P6=20

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A: Concept: Vector functions, also called vector-value functions, have a real set of numbers as their…

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Q: radius is en the radius is 25 cm. 4. A spherical balloon is expanding, gaining 125 cm³ of air per…

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Q: 36) 2 1² S y √8-y² (x + y) dx dy

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Q: Find the given limit. lim x-5 lim X--5 (-x²+3x-7) (-x² + 3x-7)= (Simplify your answer.)

A: Topic = Limits

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A: Given :C=90000+30xR=300x-x220P=R-Cl

Q: area under curve Integral calculus

A: here we have to find the area bounded by the curves.

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A: According to tangent line approximation    Given x0=23    and  x=20

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A: Given data : Tangent lineFind the equation of the tangent line to the curvef(x) = 2/7 x^3√x-xthat is…

Q: Find the exact value: cos 165 O-√6-√2 4 O √2-√6 4 O √6+√2 4 O√3-2

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Q: Let f(x)=x^−2.  Use the definition of the derivative to find f′(2).

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y² - xy + 6…

A: To find out the tangent line equation.

Q: Solve the following problems completely. Show your graphical and analytical solutions. Express your…

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Q: Consider the function. f(x) = 4x³ - 12x² - 36x Step 2 of 2: Determine the open intervals on which…

A: Given query is to find the interval where function is increasing and decreasing.

Q: . Solve for x (round to 4 decimal places): 5 10º = 11 (A) 1 (B) 1.0820 (C) 0.0220 (D) 0.3424 (E)…

A: 5×10x=11lnxn=nlnx

Q: Each of the equal sides of an isosceles triangle has a constant length of 20 cm. If the angle…

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Q: 69. lim e¹i + 1-0 sint; + ´j + e¯¹k

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Q: If s is a distance given by s(t) = 3t4 +8t³+ 4t, find the acceleration, a(t). Question 42 of 43

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Q: The demand x is the number of items that can be sold at a price of Sp. For x-p-5p +300, find the…

A: Given query is to find the derivative.

Q: If g(x) = 2 - x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 2 –…

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Q: 5 Find the center of mass of a thin plate of constant density & covering the region between the…

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Q: Let f (x, y, z) = xz cos(y). Find the directional derivative of fat (1, 0, 2) in the direction of…

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Q: An open box is to be made from a 16-inch by 30-inch piece of card- board by cutting out squares of…

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Q: The width, W of a rectangle is 20 cm and the length, L is increasing. Find how fast the: a.)…

A: The width, W of a rectangle is 20 cm and the length, L is increasing. To find how fast the:  (a)…

Q: The Demand function for Robots for you, Inc. model JNC794 is given by D(q) = -0.0006q² - 0.08q+23.23…

A: Average rate of change of function f(x) over the interval a,b is calculated using the formula…

Q: (7) The shown graph below is the graph of function f. Note that the graph of f has local extrema at…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 1 πα (m2 + 3) V (m2 + 1) + 4 dx 6

A: Given data : ∫121πxx2+3x2+12+46dx

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Q: Solve the following problems completely. Show your graphical and analytical solutions. Express your…

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Q: 4. y(4) + 17y" + 72 = 0.

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Q: Given c = and ƒ = , find č + f. c+ f = <

A: As we know that, If the given vectors are a→=a1,b1 and b→=a2, b2 then sum of these two vectors will…

Q: We run a company which makes toys. Let w be the number of workers and T be the number of toys…

A: We can solve it as below.

Q: (a) lim /(x) = 0 8118 (b) lim/(x) = 2 x-0 (c) lim/(x) = 1.5 x-1 N 1 A 3 e 0 (d) The equation of the…

A: Given query is to find indicated limits.

Q: Solve the following differential equation. Show your complete solution. 1. (1-x)y' = y².

A: according to bartleby guide line we do only first part of multiply questions please re-post other…

Q: 4. (x + y)dx + (2x − y)dy = 0. -

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Q: lim X→ 4x-3 lim x²+12x+27 ) lim x→-3 x+3 2x²-7x+5

A: (a)  given limit is :-limx→3412x2+11x-154x-3      00 form  since we know thaT  if…

Q: Question 6 Evaluate the limit 0 01 -1/2 Does not exist 2²-²-2² lim(x,y,z) (0,0,0) ²+z²_z²

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Q: Compute the derivative of the function y = 6 cos¹ (4x) at the point x = (Use symbolic notation and…

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Q: If an account with an initial amount of $2000 earns 10% interest com- how long does it take for the…

A: formula for compound continuously is P=P0ert where P is final amount P0  is initial amount r is rate…

Q: Find area of region x = 45 − 5y2,  x = 5y2 − 45

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Q: Suppose x = -5u - 5v + 1w and also x = -3u - 3v + 5w. Find another solution: X = u+ V+ W

A: Here we have to find the another solution.

Q: The quantity, Q mg, of nicotine in the body t minutes after a cigarette is smoked is given by Q =…

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Q: The graph of a function f is shown. Which graph is an antiderivative of f? y a b C X

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Q: In 2000, 48% of the residents in a large city regularly used newspapers for getting news and this…

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