Given the points P(−2, 3) and Q(−2, −5), find the magnitude and direction of PQ. Provide your answer below: PO = 0 口口

Q: Our goal is to estimate the rate of change of d(t) at precisely the time t = 3 se This will be…

A: Given: dt=61.490-t

Q: Find the area of the region bounded by the given curve: r = 3eº 2 on the intervalπ ≤ 0 ≤ 2π. 3″

A: Concept let r = f( θ ) θ1 ≤ θ ≤ θ2then area bounded by the curve A = 12∫r dθ

Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: Solution: When two dice are rolled

Q: 8 3 3.s²+12 $²+49 +

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

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Q: Calculate the arc length of y = ln(cos x), 0≤x≤ π/4.

A: NOTE: Refresh your page if you can't see any equations. . the given function is and the given…

Q: Given the following vectors, calculate −9v u=⟨−8,−4⟩,v=⟨3,−2⟩

A: Solution ) u = < -8 , - 4 >                   v = < 3 , - 2 >  - 9v = -9 < 3 , - 2…

Q: 4. If f(x) = 7x - 3+ In x, then f'(1) = (A) 4 (B) 5 (C) 6 (D) 7 (E) 8

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin…

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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: the An electron in a TV tube is beamed horizontally at a speed of 5.7 x 106 meters per second toward…

A: We can find how far the electron drop .

Q: Inverse laplace 8/(3s^2+12)+3/(s^2+49)

A: The given Laplace transform is Fs=83s2+12+3s2+49. We have to find the inverse Laplace transform.

Q: A company's revenue from selling x units of an item is given as R=1000x-x^2 dollars. If sales are…

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Q: Find 5e³zy Ə ?х Question Help: Video

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Q: O y"'+ 4y' + 4y =(3+x) e-2x, when x = 0, y = 2, y'= 5 3 -2x -(1/₁³3 ²+ = -₁ ² 0 - ² O O O y = 2e…

A: Please see the below picture for detailed solution.

Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: 4. lim cos(x )x

A: We can find the limit of the given function by sequential method. Let xn  and  yn be two sequence…

Q: A right triangle whose hypotenuse is √12 m long is revolved about one of its legs to generate a…

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Q: f(x)=xe^-x How can you use limits to decide which of the two factor functions in f(x) dominates as…

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Q: 6. A particle moves along the x-axis. The velocity of the particle at time t is 6t - t². What is the…

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Q: 2) Given the following graphs determine the end behavior using the formal limit notation (lim f(x)).…

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Q: A graphing calculator is recommended. Sketch the region enclosed by the given curves. y = √x, y=0,…

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Q: 8. An application to mecanics A particule x(t) of mass 1kg is moving along an horizontal straight…

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Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: 6. Let f be a function such that f(1) = 1, ƒ′(1) = 4, ƒ”(1) = −2 and ² ƒ""(t)(2 – t)²dt = 3. Find…

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Q: Find an equation of the plane. The plane through the point (8, 0, 1) and perpendicular to the line x…

A: Please see the below picture for detailed solution.

Q: The number of people that attended the annual street fair this year was 1230. It is estimated that…

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Q: 7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D)…

A: As per the guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 120 2 A sides of lengths 6,10 and 7. Find the mesure of it's largest angle to the nearest degree…

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

Q: A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: Given red cars - 6 silver cars - 11 black cars - 5 total cars - 22

Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: 3. [sec x tan x dx = (A) sec x + C (B) tan x + C (C) (D) (E) sec² x 2 tan²x 2 +C * + C sec² x tan²x…

A: As per our guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Use the ratio test to determine if the series converges or diverges n (1+27) ² Σ ∞0 n=2

A: The given series is  ∑n=2∞ 1+2nn2n

Q: Find the equation of the plane thru Q = (-1,2,4), P = (1,1,1), and R = (1,3,5) Find the area of the…

A: Given that P=(1, 1,1)    Q=(-1, 2,4)    R=(1, 3,5)    1)    Equation of a plane is ax+by+cz+d=0

Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: Match the general solutions to the differential equations. ✓ (D²+2D+5)y=0 ✓ (D²-6D+10)y=0 ✓…

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Q: (15) Determine whether each integral is convergent or divergent. Evaluate those that are convergent.…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: 12 5cm C = 9.8 cm and LA = 59° LC is? The messure of Sime Sims Mice Sim (98 x sim 59°) 12.5 =…

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Q: Evaluate 15 C3.

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Q: 11. 7(t) = (cost, e¹, Int)

A: Given rt=cost,et,lnt We know that dcostdt=-sintdetdt=etdlntdt=1t

Q: lim (z,y) → (0,0) x³ +48x² + 8y² 6x² + y² Use DNE for does not exist, oo for infinity or -oo for…

A: To find the given limit exist or not.

Q: Determine the area of the region bounded by y = 3 xw and y = X 3 on the interval [1,10].

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Q: 2) Given that tan o= 3 where & is quadrant III 0 9 find seco b) Given that csc o² = -9 where of is…

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Q: Find S - X5 - 4 X 5 x5 +4√x dx dz +C

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Q: Evaluate the integral. ㅇ뿡 ○. ㅇ쁨 dx

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Q: Given vectors u = (7,-4) and v = (-8, -7), find u v.

A: The given vectors u=7, -4 and v=-8, -7. We have to find the value of u·v.

Q: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

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