Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. {₁ 12 14 2 4 an = 1 16 8 18 16 Assume the first term is a₁ 20 1...} 32

Q: Express the following limit as a definite integral. n 1 lim Σ -Ax where P is a partition of [2,4]…

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Q: en the graph below, solve the following inequality: g(r) > 0 +10 + 80 9 8 7 -8-7-6-5-4-3 54 6543 2…

A: Given query is to solve the inequality.

Q: speed

A: We have to find the speed according to the given information

Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

A: given  z=3x2+y2x=ey

Q: Find equations of the tangent lines to the curve y = In(x) I at the points (1,0) and (e, 2).

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Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

Q: 1. Evaluate: 1 1+x+x\ L₂FF dr

A: Given integral is ∫-2111+x+xdx

Q: An equation of an ellipse is given. ²+12²=1 (a) Find the vertices, foci, and eccentricity of the…

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Q: On the interval shown, for which graph is f' positive and f"' negative? OA. OB. Q O C. z Q 2 OD.

A: To choose the graph which describes the given characteristics

Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: Let f(x) 0 = c-8 Oc==3 Oc=2/20 Oc-4/ 11 2xc + 1 C + 3x 3 ▸ Determine the value of c so that x = 9 is…

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Q: Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

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Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: 6) Show that (2xy, 2yz + is conservative.

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Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

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Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

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Q: The percentage of movie advertising as a share of newspapers' total advertising revenue from 1995 to…

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Q: Given the graph below, solve the following inequality: k(v) ≥ 0 Họ tan 9 8 7 6 5 -10-9-8-7-6-5-4-3 4…

A: To solve the given inequality

Q: A tank is full of water. Find the work W required to pump the water out of the spout. Use the fact…

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Q: Expand the following logarithmic expression and simplify: 06 + log (y) - log (x) + log (3) O+log (y)…

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Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r=5+10 cos 0…

A: Please see the below picture for detailed solution.

Q: rting to polar coordinates. dy

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Q: Identify the circle that has center (6,-3) and radius 3. Select the correct answer below: O (x+3)² +…

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Q: Evaluate the indefinite integral. f7 sin³ (2) sin³ (x) cos(x) dx = J + C

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

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Q: 2. Find y' using implicit differentiation where x² + 4y² = 4

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Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

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Q: 3) Find curl (xyi + yzj + zxk)

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Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: Use the graph of f(x) - 1 below to find a number & such that f(z) - 0.5| < 0.2 whenever 0 << |z2|<…

A: Graph

Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

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Q: A collection of nickels, dimes, and quarters consist of 19 coins with a total of $3.35. If the…

A: let numbwes of nickels is  x let numbers of dimes is  ylet numbers of quarters is zgiven  total…

Q: Suppose a real number t determines the terminal point (a, b) on the unit circle as shown. (a,b) ▶ D…

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Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: Find the derivative of the function. y' = y = 3 tan-¹(x - √₁+ 1 x² +

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Q: (6417 #3 p. 357) Find the average value of f(x) = 6r-r² f(x= on the interval 2<z≤8

A: Given function is f(x)=6x-x2 and the interval is 2≤x≤8.

Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: Evaluate the integral f(2x + by making the substitution u = x² + 3x + 8. 2x + 3) (x² + 3x + 8) ¹dx +…

A: Evaluate the integral. By making the substitution u= x2 + 3x + 8

Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

A: Given query is to find the value of tanA.

Q: Perform the matrix operation. Let A = °[4 4 -3] -16-4] O 0-31 [0-12] O [d [-2 2 -8-8 O -4 -3 0 -12]…

A: Given query is to perform indicated matrix operation.

Q: fa²√³-3 da: This can be transformed into a basic integral by letting Consider the indefinite…

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Q: A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is…

A: Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…