Given the vector u = (1,6), find the magnitude and angle in which the vector points (measure counterclockwise from the positive x-axis, 0 ≤ 0 < 2π) ||||| = | 0 =

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for π.…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the radius…

Q: x= y^2 - 4y   x= y-y^2   find the area

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Q: (1) Going from left to right, the function f(x) is increasing   from point=  to point=   from…

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Q: IV. Evaluate the following: a) A pen manufacturing company produces blue and black pens only. If…

A: This is question of calculus here percentage is given we have to find quantity of manufacturing.…

Q: Tangent line Find the equation of the tangent line to the curve that is parallel to the line y =…

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

Q: Find an equation for the line that is tangent to the curve y = 2x³ - 2x at the point (-1,0). The…

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

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

Q: 8 == find an equation for the secant line through the points where x = 2 and x = 8. 9 X a. For f(x)…

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

A: Introduction: A solid's cross-section is where a plane intersects the solid. Any solid that can be…

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: (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: a ball is thrown into the air with a velocity of 39 ft/s, its height (in feet) after t seconds is…

A: Given query is to find the velocity at indicated time.

Q: A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

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Q: For the function f graphed below, find the following limits: 1. lim_f(x) = x→-1- -10 2. lim f(x) =…

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Q: Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), b = (0, 4, 1), c =…

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Q: 4. (D² - 4D + 4)y = e²x

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Q: Let à = (3, -5,0) and b = (-2,-4,-5). Find à x b. <

A: We are given vector a and vector b. We will find their cross product by definition of the cross…

Q: Convert the Cartesian coordinate (-6,-5) to polar coordinates, 0 ≤ 0 0 r = Enter exact value. 0 = >…

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Q: 4. Let A = {a,b,c} a. List all subsets of A. {A}{B}C A B ACBC ABC b. Use the formula to verify your…

A: Here we have to find the subset of set.

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: We will use the concept of Reiman Sum to find the solution of this problem.

Q: Solve Tog log(x-2) -log(2x-3) = log₂ (x-2) (2x-3) = log₂

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Q: 1. In quadrilateral ABCD, M is the midpoint of AB and N is the midpoint of CD. Point X is the…

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Q: 0.015t The population of a town is increasing at a rate given by P'(t) = 47e where P is the…

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

A: 7

Q: Evaluate the limit x²-y²-2² lim(x,y,z)→(0,0,0) x²+y² −z² ° Does not exist

A: Limit does not exist

Q: The Demand function for Robots for you, Inc. model NTM612 is given by D(q) = -0.0003q² - 0.05g +…

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Q: in (√x + 7 ) nine the derivative of the function g(x) = In g'(x) =

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

Q: 5. (x5 + 3y)dx - xdy = 0

A: To solve the following differential equation. x5+3y dx-x dy=0

Q: Find all the values of such that the given series would converge. Answer: n=1 (x - 9)n nn

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Q: 35 30 25 20 15 10 5 15 to 19 2000 2002 2004 2006 Source: Statistics Canada, Canadian Tobacco Use…

A: Find the data points from the graph:

Q: Find the volume generated by revolving the curve x + 2y = 2, from x = 0 to x= 2 about the x-axis

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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: 6x + y2 = 16,  x = y Find the area of the region

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Q: 2 What is the angle formed by the vectors 1 syntax like 3*pi/4.) and ? (Express the answer in…

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Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

A: To find the tangent line

Q: Find a vector a with representation given by the directed line segment AB. A(0, 2, 1), B(3, 2, -1)…

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Q: Find the point at which the line x(t) y(t) z(t) = = = -8 - 2t 3+ t 7+ 5t intersects the xy plane.

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Q: 4. a) Givenā = [-5, 2, -3],6 = [7,-4, 1], c = [x, -2, z], and a × c =b, find x and z. b) Find a…

A: Given,  a→=-5,2,-3,  b→=7,-4,1 , c→=x,-2,z

Q: Use logarithmic differentiation to determine y' for the equation y = (x + 6)(x + 4)(x + 9)(x + 2).…

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Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

Q: d) If f(x) = 15x2-9x³, find the value of f'(-1).

A: If fx=15x-2-9x3, then to find the value of f'-1.

Q: 10 -5 10 5 -10 y 5 10

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Q: Find the equation of the line tangent to the graph of y = |y=1.3956x +7.0847 9 In(x) at x = 3.

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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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Q: 2. Consider the functions g, h: R → R defined by g(x) = x² and h(x) = x³ + 1. A. Evaluate f(g(x) ·…

A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

Q: Use the graph of the function f(x) below to find the following limits. Find lim f(x) x→ 1 OA. 2 OB.…

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Q: 2. x² dx + y(x-1)dy = 0.

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Q: Find lim (x,y) + (0,0) 1 х2 ту? if it existi

A: here we have to find the limit of a function.

Q: y= 5x-x^2 y=2x Find area

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Q: Find the critical points of the function. (Order your answers from smallest to largest x, then from…

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