Exercise 1. Express the limit as a definite integral on the given interval a) lim T? cosxi Li=1' Ax, [T, 2n] n-00

Q: Find the taylor series being centered at the given values of a (use the known n series) f(x) = x…

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Q: 2. Classify each of the following sets as open, closed, neither, or both. Then, find the closure. a)…

A: classify the given sets are open and closed.

Q: A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the…

A: Let's find.

Q: Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 300(6 + 5   x)…

A: We have to find the marginal cost

Q: x' + y = 0 y' – x = 0 x(0) = 1 y(0) = 0.

A: In order to solve the differential equations we need to separate the variables and integrate the…

Q: Find the higher-order derivative. f ''(x) =6   x − 3

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Q: Σ (-1)^3" 29ח n = 1

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Q: Given the differential equation y' = 6 x y and y(0) = 10 and its next few implicit derivatives y" =…

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Q: Wiedge LE Find an equation of the ellipse that has center (-1, 4), a minor axis of length 2, and a…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: 3. As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Let's find.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

A: Given: y=12x-11, y=x & x=0   So, From the given curves the bounded region is as shown below;…

Q: Use the simple interest formula to determine the missing value. p= $1475, r=?, t 2 years, i= $41.30…

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Q: Three Vectors are given as shown. 40 60 In the figure above, the magnitude and direction of the…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: The given equation is: 5x2=61-x   As we know that; logaxb=b·logax ; x≥0

Q: x/1 – x dx

A: ∫x1-xdx use the rule of integration by parts ∫ uvdx = u∫vdx - ∫u'∫vdxdx here u = x   v= 1-x u' =…

Q: Determine whether the function f is continuous at x = c. If f is discontinuous at x = c, determine…

A: Find your answer below

Q: 12. r(t) at cos 3ti + b sin³tj + c cos't k =

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Q: Find the derivative of the function. 6x3 f(x) = + 8x2 Step 1 The function (x) can be simplified to…

A: The differentiation is given below.

Q: 1: Find the arclength of the a, curve V1 - x, 0 < x s 1, Is the given series 2 - 1 + 2 1 + 4 ... a…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first one. If you…

Q: 25) Show that the curve with parametric equations x = tcos(t) , y = tsin(t), lz = t ies on the cone…

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Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

A: average blood alcohol concentration is given byC(t)=0.00225te-0.0467twhere t is in minutes and C is…

Q: Sketch the region of integration, reverse the order of integration, and evaluate. cln z a dy dr

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Q: Find an angle 0 with 0° <0< 360° that has the same: Sine function value as 250° 0 = degrees Cosine…

A: Find your answer below

Q: a) Suppose that f(4)=3 and f'(4)=-5. Find g'(4) where g(x)=Vx f(x)

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Q: Use the Ratio Test to determine the convergence or divergence of the series. n5 3n n = 1 an+ 'n+ 1…

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Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y= 11 x,…

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Q: Integration by Parts 1. Sx³e*/2dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Solve for x. Record solution using boxes below. Then answer graph questions. (Given solution in…

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Q: 3. Find an equation of the hyperbola having foci at (4, 3-V 52) and (4, 3 +/52) and asymptotes at y=…

A: Focii: (4, 3+52) &amp; (4, 3-52)Assymptotes : y=3x2-3 , y=-3x2+9Let vertex by represented by (h,k)…

Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Think of four random integers q, r, s, and t selected from 0 through 9. Let a1 = 0.qrst, where q, r,…

A: let as consider four integers q,r,s,t from 0 to 9 then we get a1=0.qrst=0 now if we select four more…

Q: 7. Use integration by parts to prove that for any positive integer n, п - 1 Scos | cos"x dx = 1…

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Q: Q50 X( Inx)

A: = Let , In x = log x = 7 ∫ dx / x logxx let , log x = t          x = et       1/x dx = dt = 7 ∫ dt /…

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Q: The figure below shows f(x) and its local linearization at x = a, y = 5x 2. (The - local…

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

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Q: The function f has a continuous second derivative, and it satisfies f(9) = -4, f'(9) = 0 and f"(9) =…

A: If a  function f(x) is defined on an interval [a,b] and it's second derivative exists at x=c, then…

Q: Let v = (-4, -1, 2) Calculate: v xi= ( v xj = { V v x k = (

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Q: 00 n x-4 Write out the first few terms of the geometric series, 2 3 2 to find a and r, and find the…

A: ∑n=0∞ 3x-42nThe series can be written as;=3+3x-42+3x-422+...…

Q: Find the quantities of each of the expressions below if u is (-5, 2) and v is -i+6j. Don't simplify…

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Q: 5. Compute the arc length exactly y = x2 - In x , 1< x < 2 4

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Q: Analyze the following problems then solve. Show necessary solutions. 1. A three-sided fence is to be…

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Q: I. Evaluate the following. 3450°-j12 a. 14 + j2 – -j15 (3450°-j12) b. j2 x 32-25° -j15 5-j2…

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Q: The terminal side of e lies on the given line in the specified quadrant. Find the exact values of…

A: The given line 35x+12y=0

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

Q: Test the series below for convergence using the Ratio Test. 67-1 n=1 The limit of the ratio test…

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Q: 4+6 n i) The sequence { )is bounded by 6 n <ns ii) The 20 th. element of this sequence is

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Q: E- 100. This can be further simplifed to + y - 50

A: answer is in next step

Q: Use the graph of the function to answer the each question 1. limr-0-f(x) = 5- 2. lim,o+ f(x) = 4 3.…

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