Q- If the velocity divergence at a particular point and time is 3 m/sec and the rate of change of density is 0.9 kg/m³ per sec. Then find the density at that point.

Q: Rate of Change of Cost McJesters can produce a hamburger for $2.44. If the restaurant's daily sales…

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Q: 8 8. Evaluate the series In(k) - In(k+2) k=2 (a) 0 (d) In(2) + In(3) (e) In (3) + In(4) (f) In (2) -…

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Q: Use a definite integral to find the area under the curve between the given x-values. = 8e2x from x =…

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Q: Combine into a single logarithm: -2log(x) + log(x + 1) + 5log(y)

A: lnxn=nlnxlnab=lna-lnblna.b=lna+lnb

Q: the number of bacteria in a yeast culture grows at a rate proportional to the number present. The…

A: Given that the number of bacteria in a yeast culture grows at a rate proportional to the number…

Q: Find two numbers with difference 110 and whose product is a minimum. Enter your answers in…

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Q: Find the general solution of the linear nonhomogeneous recurrence relation an = 3an-1 + 10an-2 +…

A: To solve the following nonlinear recurrence relation

Q: Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue-5.…

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Q: The equation r(t) = (6t)i + (6t − 5t²)j + (5) k gives the position of a particle in space at time t.…

A: Given the position vector r→(t)=(6t)i→+(6t-5t2)j→+(5)k→ We are required to find the angle between…

Q: f(x) = 6log(13x + 8) - 2

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Q: The function f(x) = x² +9, x ≥0 is one-to-one. (a) Find the inverse of f and check the answer. (b)…

A: Given: f(x)=x2+9

Q: 17. Which of the following substitutions is best for the integral [ best for the integral + 25 dz dx…

A: Solve the following

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: Given: y2=4x+2y

Q: A company estimates that its sales will grow continuously at a rate given by the function S'(t) =…

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Q: 6. r = 2 csc 0 - sec 0

A: To find Cartesian equation

Q: 36. 2² √2² +3° dt

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Q: Partial Fractions 3x+5 5dx 2x²-5x-3 Jx dx X+1 (x-j2 dx

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Q: For the demand function D(p), complete the following. D(P) = 2000e-0.02p (a) Find the elasticity of…

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Q: got

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Q: Evaluate the following line integral along the curve C. √(x+y+z) x+y+z)ds; C is the semicircle r(t)…

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Q: show full solution &

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Q: Given the point (4,1) in rectangular coordinates, find the polar coordinates of the point where r >…

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Q: If the amount of powder for a specific substance is 100 mg, and if the ratio is 2:4:8, how much is…

A: use the ratio and proportion

Q: Evaluate the following integral:4² - 10t - 1 dt O7714 O98/3 86/3 O 83/3

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Q: 21 Let A = 1 0 -1 2 3 1 -1 0 Find the |A|, that is, determinant of A. Find A-¹. You must show all of…

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Q: Find the volume of the solid bounded below by the circular paraboloid z = 2² + y² and above by the…

A: We can find the volume .

Q: Suppose you know lim an 11-> 00 0100 What do you know about the convergence or divergence of the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the coordinates at times t = 0, 1, 2 of a particle following the path t = 0: t = 1: t = 2: =…

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Q: Use an appropriate test to determine whether the series converges. M8 Σ k=1 k! 18kkk Select the…

A: The given series ∑k=1∞k!18kkk. We have to check the convergence of the series.

Q: 11) Test the series for convergence of divergence (-1)n sin² (3n) n Use divergence test n=1 Identify…

A: To test the series for convergence or divergence by using divergence test.∑n=1∞ -1n sin23nn

Q: For the function, find the indicated expressions. f(x) = x5 In(x) (a) Find f'(x). f'(x) = (b) Find…

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Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex/8…

A: Given, f(x)=ex/8, from x=0 to x=8

Q: lim (x,y)-(1,0) x² + y²-1 +y

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Q: Find an antiderivative F (2) with F'(x) = f(x) = 2 +24³ +1225 and F (1) = 0. Remember to include a…

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Q: The position of a ball, relative to the ground, which is thrown vertically upward is governed by…

A: The position of a ball, relative to the ground, which is thrown vertically upward is governed by…

Q: Use the Continuous Compound Interest II information above to answer this question. Find the…

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Q: 4 √² (²+ (2 + √ 4 − (x − 2)²) dx.

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Q: Let f(x) = x³ + 6x² + 6x and let c be the number satisfying the Mean Value Theorem's conclusion on…

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Q: Suppose y (a) The midline of the graph is the line with equation (b) The amplitude of the graph is…

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Q: 4. Find the limits. a. lim (x²−1) ln(1-x² )

A: Find the limit using L hospital rule

Q: Find the linearization L(x) at x = a. 1 f(x) = -x--, a=-1 X

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Q: Matrix A has characteristic polynomial p(x) = (-45A)(5)(27 - λ). -3 4 32 3-16 32 -16 -13 4 Given…

A: Please see the below picture for detailed solution.

Q: /19 - 10/2) d² - 10 dz 10√

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Q: Determine dP/dn for P(n,R,T,V) = nT/V O nR/V O-nRT/V² ORTIV nRT V

A: Given :- Pn,R,T,V=nRTV

Q: I7 28 +5 6.8. 0 xp

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Q: Characterize each of the following geometric series: ΕΣ(3) Σ( ΕΣ (9) ΕΣ(3) η 1 η 1 7 1 η Ι a.…

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Q: Find all solutions of equation in the interval [0,2pi) cos2x-2cosx=-1

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 16 k! k k' this…

A: See the answer below

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0)=−15, f′(0)=10, f′′(0)=−6,…

A: formula for maclaurin series isf(x)=f(0)+xf'(0)+x22f''(0)+x36f'''(0)+......