Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact answers in terms of i,j and k. u = u =

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to ...

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Q: cos x dx

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Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5 -...

A: This question can be answered by considering the slope of tangent at any two points in the given int...

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0

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Q: Show that the following limit fails to exist by showing that the limit is different for two differen...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Consider the following. y = 5x2 - 10x + 4 (a) Find the interval(s) of increase. O (1, o) O (2, 0) ㅇ(...

A: Given query is to find interval of increasing , decreasing and maximum, minimum.

Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

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Q: Find for the given function. w= 10z2 e?

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Q: Given the function f(t) = 4 e3 Use the Laplace Transform table to convert this function into F(s). f...

A: Consider the function  f(t)=t4e3t

Q: If the infinite curve y = e-*, x > 0, is rotated about the x-axis, find the area of the resulting su...

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Q: Original Integral Rewrite Integrate Simplify 9 dx dx 9 + C (4x)5 1024 1024

A: Topic = Integration

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

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Q: .... a) What percentage buy the game without seeing a TV ad (x = 0)? 19% (Type an integer or a decim...

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Q: 6x(a3x*-1) dx 4.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: In the diagram below, the cube's side length and the sphere's diameter is equal. If the sphere's rad...

A: Given: Sphere radius is one and four tenths feet  And also the cube's side length and sphere's diame...

Q: x* + 11 Generate the graph of y = f(x) and use the graph to make rough estimates of the coordinates ...

A: We observe from the graph of function

Q: Calculate the producers' surplus (in dollars) for the supply equation at the indicated unit price p....

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Q: Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: This question is based on 3d line equation.

Q: [2x² + 1 х— Зх-? if х>-5 if x < -5 Find the lim f(x) where f(x) = x--6 None of these does not exist ...

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

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Q: Find dy/dx if x^3y^2+2xy=x^3

A: Solving the problem by finding the dy/dx of the given expression.

Q: 1. Fill in the following blanks for this function: y = - 4 cos 2x - 5 a)amplitude b) reflection c) p...

A: Given query is to find the Indicated points of the function.

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the v...

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Q: 1. y (x3 +3)5

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Q: A rectangle is bounded by the x-axis and the semicircle y = V 81 - x² (see figure). What length and ...

A: Consider 

Q: -2 V2x - x² dx

A: The given integral,       ∫022x-x2 dx

Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: 3-Sketch the graph of y=-3 (6x+3t/2)-2 on the domain cos Application

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Q: da at I = –1if y = – 1² + 2 and dt dy dt 2. Find da dt

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Q: +00 (x + 7)" Consider the power series > 2" Vn² – 1 | n=2 1. Use Limit Comparison Test to show that ...

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Q: Solve it correctly Q)x^4 + x^2 +1=0

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Q: urrent An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is ...

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Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

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Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

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Q: Given the graph of the function below. Find the limit of the function as x approaches 3. * (3, 4) (0...

A: Given query is to find the indicated limit.

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-...

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation...

Q: We model pumping from spherical containers the way we do from other containers, with the axis of int...

A: To find the amount of the work.

Q: Determine whether each statement is true or false. You have one submission for each statement. 9000 ...

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulle...

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

A: Volume of parallelepiped

Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

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Q: The limit of a function exists and is equal to Lif the right-hand limit and left-hand limit both exi...

A: The limit of a function exists and is equal to L if the right hand limit and left hand limit both ex...

Q: The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04 w...

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Q: 6.1 f*, V16 – x² dx 4

A: