(142) (2+) dx equals Q. 41 (z cos z + sin z)*

Q: Find the vector component of v = (4, - 1, 7) alongb = (2, 4, -4) and the vector component of v…

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Q: Solve the area of the surface of revolution generated by revolving the arc of the curve, x=y° from…

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Q: Let a - ci +j and b- 9i + 12j. Find c so that the a %3D Round your answers to four decimal places…

A: Use dot product

Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

Q: 2. An oil well produces 70, 000 barrels of oil on day one. Production is decreasing by 10% a day. a)…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: Differentiate R and C with respect to time .

Q: 5-e* 2x

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Q: Find the limit. lim (t i – 7 j+1² k) t→5 lim (t i-7 j+t? k) = i+ j+ k i i i

A: To find the limit: limt→5(t i-7j+t2k)

Q: Express cylindrical coordinates in terms of spherical coordinates

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Q: Evaluate. (Be sure to check by differentiating!) dx, x -2 4 + 2x dx 4 + 2x (Type an exact answer.…

A: To evaluate: ∫14+2xdx Let I= ∫14+2xdx

Q: Test the series for convergence or divergence. E sin? n n+ 3n

A: Given

Q: A region bounded byf (y) = Vỹ + 1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

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Q: Compute the partial sums S2, S4, and S6. 9 9 + 9 + S2 = | %3D S4 = | S6 =[ %3D + +

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Q: The geometric series 4 5-2+ 5 16 + 25 8 32 125 625 is convergent. true false

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Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: Task 2: Find the point on the curve y = x^2 closest to the point (0, 15)

A: answer is in next step

Q: Determine whether the following series converges or diverges. Σ 5n2 +5 n=1

A: We can solve the given problem as follows:

Q: What is the area of the region bounded above by y = 2x and below by y = X on the interval [0, 3]? 8…

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Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: 2. Suppose that you are told the matrix a b с-26 A = с 2b — а -a – 2b + 2c b a+2b 36 has an…

A: The given matrix,   A=abc-2b3bc2b-a-a-2b+2cba+2b

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

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Q: Consider the following lines defined by I,: x – 3 = y – 5 = z – 6 and I2(t) = . c) Determine if the…

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Q: ders of integration. Use the more convenient order to evaluate the integral over the plane dA unded…

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Q: 28 74.6°

A: Given query is to find the vector components.

Q: 1. Let f be a function satisfying the following properties: lim [f(r) – (x + 2)] = 0 continuous on…

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Q: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Answer is in below steps.

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: a) Find the fifth term of the sequence 16 31 46 61 9 ' 15' 21' 27 b) Find the general term of the…

A: a. if you observe carefully, you will see that numerator and denominator of the terms of sequence…

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

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Q: 1. sin²(esin*r) + cos-(2t³ – 5)

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

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Q: Fill in the missing values to make the equations true. (a) log, 4 - log, 5 = log, %3D (b) log,+…

A: logarithm expressions are given,. we have to find the missing values

Q: decimal number o.11 11 Eaual ^ true O evror

A: This is a problem related to decimal points conversion into p/q form. Please follow the procedure…

Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

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Q: Convert the equation, 5r csc(0), from polar coordinates into rectangular coordinates. Hint: Enter an…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan Vot +…

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Q: Answer 2 only

A: Solved below

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: Here, note that the sequence an is convergent if  limn→∞an ia finite,

Q: 2) Verify that the function f(r) = In r satisfies the hypotheses of the Mean Value Theorem on the…

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Q: 2nt H = 12+3 sin 365

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Q: 2(у - 4x?)dx + хdу %3D 0. x²y = 2r* + c

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Q: Find the general antiderivative F(x) + C for the function. 126+ 3x+ f(x) = x3 O 3x4 +x2 + C 3x* +x +…

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Q: Convert thepoint (x,Y) from rectangular to polar Coordinates Cr,e). 4)(2,-2)

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Q: Given: 6n An = 12n + 13 For both of the following answer blanks, decide whether the given sequence…

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Q: Test the series for convergence or diverg-

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Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: Determine the number at which h(x) = V16 – x² is continuous. - Determine the largest interval on…

A: h(x) = 16-x2 here in root <0 is not  possible so 16 - x2> 0 x < 4 for this value function…

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x +…

A: We have to solve only D, as asking in the question.