Two cars are moving towards an intersection. One car is 190 meters north of the intersection and moving towards the intersection at 19 m/s, while the other is 150 meters west of the intersection and moving away from the intersection at 14 m/s. 3 seconds later, the cars are getting closer together, or farther apart (choose one) at ____ m/s. (Enter your answer rounded to 3 decimal places

Q: 2 √9x²-16 x² dx

A: We will use substitute method to solve the integration

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: -3 -2 -1 у 1 - 1 -2 -3 -4 -5- 1 2

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Q: Question 3 Evaluate the limit. Hint: Factor and enter decimal answer. x + 3 x-3 x² + 8x + 15 lim

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A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

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Q: 2 8. y' + ²y = -x²y² cos x

A:

Q: - 7. Find the area bounded by the curve y² + x − 4y = 5 and the y — axis

A: We have to find the area of the given curve and line.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: We have to find open intervals on which the graph is concave upward or concave downward

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Q: 5) each k=1 (- series, find the sum. k - 1 6) k=1 +1) (k+2)

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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A: The answer is given in step 2.

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A: Triple integral

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Q: 00 ΣΤΑ 1 — (−1)n-¹n² 10 Select one: O True O False ≈ 0.0676

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Q: The cross product is anti-commutative. This means that axb=-bxa. Show this is true for a=(2,3,4), b…

A: Given  a→=2,3,4 and b→=-5,-4,-3. We have to show that  a→×b→ = -b→×a→.

Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

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Q: . Given TR = 45Q -0.5 Q², TC = Q³-8Q² + 57Q + 2, find out the level of : output at which firm…

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Q: 4. Consider the function f(x) and its derivatives below: f(x)=2x²-11 Horizontal asymptote(s) f'(x)=…

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Q: Ifc₂6" is convergent, then c(-6)" is convergent. Select one: O True O False

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Q: (3x²+2x-6)dx + e²ydy=0

A: Given Problem:- 3x2+2x-6dx+e2ydy=0

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Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

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A:

Q: c) 2 √9x²-16 x² dx

A: Given problem:- ∫9x2-16x2dx

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Q: Find the exact average value fare of f(2)=√16-2² between 0 and 4, then find an exact number e in…

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Q: 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power…

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Q: 2. (xy + x) dx = (x²y² + x² + y² + 1)dy

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Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: Let 7 (t) = Find 7' (t) 7' (t) = Check Answer >

A: Solution ) r(t) = &lt; -3t5 + 5 , 4e-4t , 3sin ( -3t ) &gt;  r'(t) = &lt; d/dt (-3t5 + 5) ,…

Q: 5 ΣΕ j=1

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: Consider the function f(x) = 1-5x², -4≤ x ≤ 1. The absolute maximum value is and this occurs at x =…

A: Consider the function fx=1-5x2, -4≤x≤1.To determine absolute maximum and absolute minimum value of…

Q: 4. y = x cos(In x) x²y" - xy + 2y = 0

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Q: so xe x dx

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Q: Find the area of the region between y = 6x² and y = x² + 7.

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Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

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Q: Find the value of C so that y(t) = Ce2t satisfies the initial condition y(1)=1

A: Substitute t=1

Q: 3. Evaluate f(x) = 15 – ½ (x) for f (4). a) 16 b) 14 c) 13 d) none of the above

A: 3.  This is a problem of polynomial.  Here given a polynomial f(x) and find f(4).

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² = 4 and…

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Q: You are taking a road trip in a car without A/C. The temperture in the car is 105 degrees F. You buy…

A: Above question is solved.