Transform: F(s) = 6 (s²-4s+20)² Of(t)=&te²t cos 4t - 3 64 Of(t) = te-2t sin 4t 3 e2t sin 4t 16 Of(t)=tet sin 4t 64 sin 4te e-2t cos 4t e²t cos 4t

Q: If θ=5π/4, then find exact values for the following: sec(θ) equals=    csc(θ) equals=…

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A: Given query to find the minimum average cost.

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Q: Determine the measures of the angles using the diagram below. {//m m 1: 2: 3: 4: 38 6f 3

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A: Topic = Function

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Q: Consider the following equations. f(y) = y² g(y) = y + 6 Sketch and shade the region bounded by the…

A: Given: f(y)=y2 g(y) = y+6 Solution: The intercept points between the two curves can be found from:

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Q: S cos (oc) Sin (x) + 3√ sin(x) dx

A: We need to evaluate :

Q: Let Use these values to evaluate the given definite integrals. (f(x) + g(x)) dx = b) ») ſª* (ƒ(x) —…

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Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

A: To find:- Hyperbolic functions in terms of exponential function

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A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 66 a A 70 lb weight stretches a string 10 feet. The the spring and equal to 2√5 weight a damping…

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Q: Use the Mean Value Theorem and find all points 0<c<2 such that ƒ(2)-f(0) = f'(c) (2-0): f(x)=sin(x).

A: The given function is  f(x)=sinπx,  0&lt;c&lt;2

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A: Given query is to find the mass at indicated points.

Q: 48. lim x3/2 sin(1/x) 118

A: We have to find limit value by L'Hospital rule as mentioned.

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Q: Identify u and U = du dx for the integral -1 /(₁-√²) ² (2√7) OK dx X du dx dx.

A: by compairing  un=(1-x)3 dudx=-12x

Q: 1) a) Solve the following inequalities: (i) 5 (11-q) <q +49 10m +2<8-5m 3 (iii) x² ≥ 15 - 2x (ii) 7m…

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Q: Evaluate the integral. (Remember the constant of integration. Remember to use absolute values where…

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Q: 18. Z-N(0, 1). Find P(Z < 2.18). A) 0.9857 B) 0.9854 C) 0.0146 D) 0.0143

A: Given that Z is normally distributed with mean 0 and std 1. The required probability is  P(Z ≤ 2.18)…

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Q: 4. Determine the absolute maximum and absolute minimum for the following function on the given…

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A: NOTE: Refresh your page if you can't see any equations. . t=number of hours P=concentration of the…

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Q: Consider the function f(x) = 9 Sam 3 Let F(z) be the antiderivative of f(x) with F(1) = 0. Then F(x)

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Q: You can retry this question below Stock prices are at their peak. Here f is the stock price. Then ·…

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Q: 39. f(x) = x²/3 - 3

A: The second derivative test is not applicable here

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A: Convert indicated temprature.

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Q: g(t) = 1 + (2 + t)e¯t Area Find the area

A: Here we have given a function:g(t)=1+(2+t)e-t. Now plotting the graph of the given function we get.

Q: 1. Describe and sketch the following set of points defined by the following conditions. (1290221 and…

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Q: Use logarithmic differentiation to find the derivative of the function. y = √√x²-x(x+2)3/7 x60 =…

A: The given function is  y=xex2-xx+23/7

Q: (2, 2, 1) to spherical coordinates. Give xpressions, or decimals to one decimal place. =

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Q: 45. Evaluate. 141005 S₁√I+X² =dx = ?

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Q: Find the general antiderivative for the function: f '(x) = 5x4 - 3x2 + 4, f(-1) = 2  *please use…

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Q: What interest will be earned if $6700 is invested for 8 years at 10% compounded monthly? (Round your…

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Q: In​ 2012, 34.1% of all glass containers were recycled. A beverage company used 450,000lb of glass…

A: NOTE: Refresh your page if you can't see any equations. . where t=nuumber of years after 2012 and…

Q: 7. fx² sinxdx 9.f x² Inxdx

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Q: 16. r(0) sec tan- 2e =

A: Given query is to find the integral.

Q: F Find the following power Write the answer in rectangular form [3( cos 30° + i sin 30°1² CETTE [3(…

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Q: a X d b C If angle c measures 4x degrees, and angle b is 168 degrees, what is x?

A: Given query is to find the measure of x.

Q: Consider the following equations. f(y) = g(x) = 0 y=2 Sketch the region bounded by the graphs of the…

A: The given equations, fy=y9-y2, gy=0, y=2 We have to find the area bounded by the graphs.

Q: Find the integral. √(x²-7x+5) dx 1 7 de-²³-²+x-0 + 5x + c 3 2 √(x² - 7x + 5) dx = 3

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Q: 1. If the total revenue received from the sale of x items is given by R(x) = 10 ln(2x + 1) while the…

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Q: 27. f"(x) = 2x + 3e*

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Q: 2) Given the following: f(2)=5, f(5)= 7, f'(2) = a, and f'(5) = b b) What is (f¹)'(5)? Show work.

A: