Which of the following is not true? Select one: d Va + 8. I + 4 dx Vz2 + 8x O Dr 2 (22 + 8x) 1 – 1/2 D: [Vz² + 8] = ;(z² + 82)"² D. ]-+8e) (2= + 8) 1/2 Va? + 8 (x² + 8x) -1/2 (2a + 8) Clear 1/2

Q: of (x)} = h %3D a Find leughth

A: Length=integration of  square root of 1+(f'(x)) 2

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series 00 Σ n = 0 8...

A: This is a problem of series calculation. By using direct comparison test we will define the nature o...

Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of integra...

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Q: (3 + xy³)dx + (5y² – xy + y³ sin y) dy = 0 %3D Let M = y² + xy' and N = 5y² – xy + y³ sin y 13. The ...

A:

Q: 8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3

A: the given series,        ∑n=3∞1n ln n.lnln n p

Q: c. Determine the average rate of change of the distance of the car from the stop sign with respect t...

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Q: 2. A chemical reaction proceeds in such a way that after the first second, the amount of a certain c...

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Q: Identily the asymptotes. Give your answers in exact form. Do not round. *-4x+2x-5 a(x) = X-6 Separat...

A: To find horizontal, vertical and slant asymptote.

Q: Given revenue and cost functions R(g) = 90g - 0.2g and C(g) = 13g + 500, find the quantity when prof...

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: Given Cost and Revenue functions C(q) = q° - 8q +56q + 5000 and R(q) = - 3q +2400q, what quantity mi...

A: Please see the below picture for detailed solution. 

Q: 4. Which of the following represents the differential equation of the family of parabolas having the...

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Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost? A It would be L ...

A: Given that cq=q3-130q2+2600qTo minimize Average cost dcqdq=0

Q: (1 point) Use implicit differentiation to find an equation of the tangent line to the ellipse define...

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Q: he table below shows some input-output pairs or a function f. x f(x) 1 -5 2 -3.4 3.5 2.8 8. 13 a. De...

A: Given query is to find the average rate of changes for indicated intervals.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: EXERCISE 2 Consider f(x, y) 3x2 · 4y² and U = cos r î + sin r ĵ. Use the Theorem above to find the d...

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Q: Suppose f is a quadratic function that has roots at x = - 5 and x = 8, and f(0) = 15. We will write ...

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Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

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Q: Write a polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial with...

A: topic - polynomials

Q: Given cost and price (demand) functions C(q) = 110q + 45,000 and p(q) = - 2q + 870, what is the marg...

A: given cost function c(q)=110q+45000Price function p(q)=-2q+870

Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters p...

A: Follow the procedure given below.

Q: (d) Find the points(s) on the curve where there is a vertical tangent line. Find the exact point(s),...

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Q: Determine whether the series converges, and if so find its sum. 4k+5 7k-1 k=1 II

A: topic - sequence and series

Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx | (a) x2 –...

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Q: 3n an = 8n + 13 For the following answer blanks, decide whether the given sequence or series is conv...

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Q: Edit Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth ...

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Q: Definition 3.27 Let P(x, y) be a point in R² and 0 be the radian measure of the angle formed by OP (...

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Q: 3. Expand the binomial; (x – 1)5

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Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

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Q: Given f(x) = 3x+22x-3x-70, answer the following. Part: 0/2 Part 1 of 2 Factor f (x), given that -2 i...

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Q: Evaluate W(1 + x, x, x^2

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Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is ...

A: A function is undefined when the denominator is equal to zero  Here denominator of h(x) is -x³+11x N...

Q: 5dx Evaluate the æ(x+1)° O a. Ina + In (æ +1) + 5 +C O b. Ina – In (x + 1) – а. 5(x+1) 1 + C 5(x+1) ...

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Q: ( Inx)°

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Q: Question: Find the derivative. y = 2/T sin /T Select one: sin /I y' = cos /T + cos/r y' = sin /I + y...

A: Topic:- derivatives

Q: Find each limit O li sinh() -x ×ミ li ex -

A:

Q: 3. t dx

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Q: Obtain the general solution of the following differential equations. 4. y'dx+e* dy = 0 Ans. e +y = c...

A: differential equation

Q: Differential Equation problem: A thermometer is taken from a room with an 70° F temperature and pla...

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Q: Find the values of the constants c and k that the function make lim f (x) and lim f(x) x-2 X-1 exist...

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Q: Determine whether the series converges. k Σ In(k + 3) k=1 The series converges. O The series diverge...

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Q: (y? + xy*)dx + (5y² – xy+ y* sin y) dy = 0 - Let M = y? + xy³ and N = 5y² – xy + y³ sin y ƏM 9. =?

A: We have to choose the correct option from the given options according to the given information

Q: Solve the given initial-value problem. (x + y)2 dx + (2xy + x² – 4) dy = 0, y(1) = 1

A: This is a question related to differential equation. Based on the general formula and integral metho...

Q: 9. Evaluate W(1 +a, r, r?) (a) -2 (b) -2r (c) 2r (d) 2

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Q: Given Cost and Revenue functions C(g) = g° - 9g + 56g + 5000 and R(g) = - 3g + 2500g, what is the mi...

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Q: A boy is flying a kite at a height of 150 ft. If the kite moves horizont ally away from the boy at 2...

A: Topic = Triangle

Q: p. Based on your table in part (a), complete the following statements. i. As x → – x, f(x) → - Previ...

A: b) i) As x tends to -infinity , f(x) tends to 0 .  as 1/-infinity =0

Q: 1 e. Let A = and C = 2 -1 1 1 i. Find elementary matrices Eı and E2 such that C = E½E1A. ii. Show th...

A: A = 12-11   ; C = -1121We need to find elementary matrices, E1, E2.  -------------------------------...

Q: Which of the following equations is not a variable separable? ту + 3х — у — 3 ry – 2x + 4y - 8 dy dy...

A: