For all of the following questions, assume x is in radians. a. Consider the function f(x) = sin(x). i. What is the period of f? ii. What is the amplitude of f? iii. What is the midline of f? radians Preview y = Preview Preview

Q: Find the velocity and acceleration vectors in terms of u, and up. do r = a cos 40 and dt V= = 4t,…

A: Solution Given r= acos(4theta)

Q: 2. Find the exact values or state that the expression is undefined ¹(3) b. os¯¹(1.5) a. sin-1 c.…

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Q: Use the Divergence Theorem to evaluate (5x + 11y + z²) ds JJS where S is the sphere x2 + y2 + z2 =…

A: We have to use the divergence theorem to evaluate the integral.

Q: L{e-²t cosh 3t}

A: Laplace transform of e-2tCosh(3t)

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4 2 3 4

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Q: dy 1) Find if y=3(x - 6x + 1) dx

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Q: Find all the complex roots. Leave your answer in polar form with the argument in degrees. The…

A: To find all complex cube roots of 63+6i.

Q: S sin(x) cos(cos(x)) dx

A: ∫cosxdx=sinx+clet cosx=t-sinxdx=dtsinxdx=-dt

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: We have to find the derivative at given point.

Q: Five years ago, you acquired a 30-year loan of $130,750, charging 6.8% annual interest, compounded…

A: We need to find amount for both cases.

Q: Without graphing, find the x- and y-intercepts for f(x). f(x)=x² - 4x +3 *** Select the correct…

A: The given function is f(x)=x2-4x+3 We have to find the x-intercept and y-intercept.

Q: 42. lim √√x = 0 0-x

A: Given query is to find the limit of the expression.

Q: Find the inverse, if it exists, for the given matrix. 52 21 www Select the correct choice below and,…

A: To find the inverse of the given matrix A.

Q: Which of the following is the power series representation for the function f(x) = ¹¹:

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Q: 3 5³ 1 – x²dx

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Q: Find the following limits for f (x) = lim f(x) 00 1-3- lim X-3+ If necessary, select the most…

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Q: Approximate the area under the graph ofvf(x)=0.05x4−3.24x2+94 over the interval [4,8] by dividing…

A: Given function:- fx=0.05x4-3.24x2+94 , 4,8

Q: 2. When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01…

A: Given: Rate of increase of radius = 0.01 cm/min Radius = 50 cm

Q: 12) Set (et + 4) dt

A: Given,           ∫etet+4dt

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

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Q: 백 [(2sino)? - (√ī)2]

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Q: 39. If 2x − 1 ≤ f(x) ≤ x² for 0 < x < 3, find limx→1 f(x).

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Q: a. Find the "Divergence" of the Vector Field. b. Find "Divergence" of Vector Field when ((x,y,z) =…

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Q: You decided to invest into a mutual fund that pays 3% per year, compounded monthly. How much should…

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Q: Evaluate the line integral, where C is the given curve. S. (x² C C: x = cos(3t) ) (x² + y² + z²) ds…

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Q: Given the surface zx² – xy² - yz² = 18 and the point (0, -2,3). Find an equation of the tangent…

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Q: Let F(x, y, z) = 0 define implicitly the function z = f(x, y). Suppose that all əz the first order…

A: Given equation is Fx,y,z=0 and z=fx,y

Q: 9.5 4.5 9.5 *** f(x)dx = 9, 1¹* f(x)dx = 1, [ f(x)dx = 5. 2 Suppose 7 [ = f(x) dx 4.5 4.5 [ (9f(x) —…

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Q: The line joining P and Q crosses the two parallel lines, as shown in the figure. The point R is d…

A: We have to find the distance of point S from Q  so that the sum of the areas of the two shaded…

Q: The graph of a polynomial function f is shown below. -4 -3 a. The root(s) off with odd multiplicity…

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Q: Find the compound amount for the deposit and the amount of interest earned. $7000 at 7% compounded…

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Q: Determine whether the vector field F = 5y²i + (10xy + e²)j + ye²k is conservative: Yes O No Find a…

A: Given vector field is ........... F= 5y2i+(10xy+ez)j+yezk Since given vector field is conservative.…

Q: If 4 + 2i is a zero of a function, what other zero will the function also have? O2+i O 3-i O 2-4i O…

A: The answer is given below:

Q: Suppose you do not know the rotation of the broken compass. Instead of a 30° counterclockwise…

A: Suppose you do not know the rotation of the broken compass. Instead of a 30° counterclockwise…

Q: Find the second-order partial derivative. 24) Find gyx when g(x, y) = ².

A: Given that g(x,y)=xy

Q: Vector v is shown in the graph. 7 17 7 32 N > 0 A ~ -3 T O||v|| = 8.944; 0 = 26.565° 1 O||v|| =…

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Q: 11/? tan- What is the exact value of 12 0-(2-√3) 0-(2+√3) 02-√3 O2+√3

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Q: For the sequence an = 2(an- its first term is its second term is its third term is its fourth term…

A: Topic = Sequence

Q: Find the equation for the tangent line to the graph f(x) = = x cos 6x at x = π/6. of

A: Given function:- fx=xcos6x

Q: Given the series 1 + 81 729 Does this series converge or diverge? O converges O diverges If the…

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Q: { 2. L-¹ 6 (s+3) 2S-1 s° -2$

A: we have to evaluate L-16s+34-2s-1s2-2s   now   2s-1s2-2s=2s-1ss-2=121s+321s-2   then…

Q: How long will it take $3,000 to grow to $25,000 if it is invested at 7% compounded monthly? years…

A: Given: Initial amount, P=$3000 Final amount, A=$25000 Rate of interest, r=7%=0.07

Q: (²x(4²√x + 5√x) dx

A: The given integral ∫01x4x3+5x4dx. We have to evaluate this integral.

Q: Please answer b and 7 : )

A: We need to create volume problem.

Q: Consider the right triangle shown below where a = 7.57, b = 11.54, and c = 13.8. Note that and are…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: 2x-5 dx x²-2x-8

A: To solve the following problem of Integration

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: Let's find relative extrema.

Q: Find all the complex roots. Leave your answers in polar form with the argument in degrees. The…

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Q: Evaluate the integral f(x) = √² as a power series. 8 ds. 1. f(x) = [ 3m Σ 3n n=0 2. f(x) 3. f(x) 4.…

A: Given integral:- fx=∫0xs1-s3ds