Given the following vectors, calculate −9v u=(-8,-4), v=(3,-2)

Q: In the year 2000, the population of a small city was 49,000. The population grows at a rate of f(t)…

A: Rate of growth ft=1300e0.05t people per  t years after 2000

Q: (-4√2,-4√2) two sets of polar coordinates for the point 0 ≤0<2m (exact answers). -,0) = -,0) =

A: Given query is to find polar coordinates.

Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

A: Given query is to find the slope of tangent nad the equation of the tangent.

Q: At what point (s), (x, y), on the parametric curve, does the parametric curve have a vertical…

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Q: An election ballot asks voters to select four city commissioners from a group of twelve candidates.…

A: We have to find the number of ways that four commissioners are selected from a group of 12…

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

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Q: An appliance company has determined that the cost of producing ice cream makers is $⁢29.50 per ice…

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Q: solution for the following differential equation (do not solve): y" +4y' + 4y = (3+x)e-2x

A: Topic:- solution of differential equation

Q: Use a power series to represent the function f(x) Provide your answer below: M8 n = 0 6x + 4…

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Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: Find the inverse of the given matrix. A = 1 -1 -1 0 2 1 0 = -6-7 Select the correct choice below…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given query is to find indicated antiderivative.

Q: Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere…

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Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

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Q: Use a power series to represent the function f(x) = Provide your answer below: m 2 6x + 5 I centered…

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Q: State whether the equation is a parabola, ellipse or hyperbola. Then state whether it is vertical or…

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Q: 1. An arithmetic series is defined by the formula a = 2n+1. a) What is the first term of the series?…

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Q: b. The equation of a circle of radius r, centered at the origin (0,0), is given by r² = x² + y² •…

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Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. y -4 A Find the…

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Q: (b) A manufacturer of lightbulbs wants to produce bulbs that last about 700 hundred hours, but of…

A: Given: a manufacture of lightbulbs wants to produce bulbs that last 700 hundred hours but of course…

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. a =…

A: The given sequence is: an=7-14n To determine whether the sequence with the given nth term is…

Q: Suppose that a particle moves along a straight line with velocity v(t)=10−6t, where 0≤t≤1.5 (in…

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Q: The marginal cost for a company to produce q items is given by MC(q) =0.003q²-0.8q+615. The…

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Q: Let f(x,y)=3x³y-2y²-3x²-8y+2 i. Find the stationary points of f ii. For each stationary point P…

A: As per guidelines,  I can answer maximum one question.  Since you have asked for two questions, so I…

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The given curves are: y=16-x2, x-axis or y=0, and the lines x=-4 and x=4   So, the bounded region is…

Q: a ladder 12.0 ft long rests against a wall. if the bottom of the ladder slides away from the wall at…

A: let wall length is  x ftlet bottom length is y ft by using paythogoras theoram  x2+y2=(12)2…

Q: Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if…

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Q: Given the following vectors, calculate −8u+7v U=(-3,-1),V=(7,-1)

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Q: Evaluate Answer: 6 Soº da √196+x²

A: We know, ∫dxa2+x2=sinh-1xa

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 9 cos(0), y…

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Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…

Q: Find the exact arc length of the curve on the given interval. Parametric Equations Interval x = 5…

A: Use formula of Arc length

Q: enan-178 -492 dx

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Q: Use a geometric series or the nth-term Test to determine the convergence or divergence the series.…

A: Given query is to find series converges or diverges.

Q: 2 0 •√√2x-x² X √3 dydx √√√x² + y²

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Q: Use the information contained in the figure to determine the values of the six trigonometric…

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Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

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Q: Find the particular solution of the equation satisfying the given condit 3 TT sin(x) dx + sec(x) dy…

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Q: Fundamental Theorem of Calculus to find the "area under curve" of y=−x2+9x betweenx=3 and x=7. In…

A: Given query is to find the area under the curve.

Q: Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in…

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Q: 2 24 1 A = (3) · B-15). C- ]-D-[2 B: = с = 1 3 20 Evaluate the following operations, A+B CB DE C-1…

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Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 4 + √9-x²) dx

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

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: According to question,Given Series,∑n=1∞ 4n23

Q: If f(x) = ex- 1,0 ≤ x ≤ 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

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Q: When a drug is injected into the bloodstream of a patient through the right arm, the drug…

A: When a drug is injected  into the bloodstream of a patient through theright arm, the drug…

Q: You have a long piece of metal that is 10 inches wide. You plan to fold along the center line to…

A: Given the red length all together is 10 inches Area of the cross-section =  AA = 12( AB ) ( AC )sinθ

Q: 2. Let f be the function given by f(x) = 300x-x³. On which of the following intervals is the…

A: Given function:- fx=300x-x3

Q: Find the limit lim (z,y) → (0,0) 3x² + 3y² x² + y² + 16. -4)

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Q: Divide by g (y) to separate the variables: dy IP fi O dy || gt h = 7/²010 y de 9х = прто

A: ∫xndx=xn+1n+1+cgiven  dydx=x6ypasses through  (1,3)