Given v(t) = 12t² – 6t + 1 and s(1) = 5 Then the position funciton is s(t) =

Q: Which of the following is equal to O-sin(x)+sin¹¹ (x) + C O None of these. O cos(x) - O - cos(x) + O…

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Q: Which of the following functions has a horizontal asymptote at y = 7x - 1 8x + 1 Oy= Oy= Oy= 3x² 5 -…

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Q: What is 1 da x√9x² - 9

A: Given,            ∫dxx9x2-9

Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: What is the value of O12+ In 2 06+In 2 06+In 8 O 10+ In 8 O 12+ In 8 +1 [^² ²² +¹ dz X

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Q: Rewrite the equation of the ellipse in standard form and graph it below by dragging the center,…

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Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: Evaluate the indefinite integral. √2³ √8 + zºda + C

A: The given integral is x5sqrt(8+x6).

Q: 4. Find an equation of the tangent plane to the surface z = xy+8 xy-2x at the point (1,1,–10)

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Q: Q8: Can you answer all the parts to this question, with the working showing clearly

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Q: Consider the function below and its graph shown to the right. 1 -t if- 10 ≤t<0 f(t) = X F(-10)= Let…

A: Consider the function below and its graph shown below.ft=14t  if -10≤t&lt;0t22  if 0≤t≤10Let Fx=∫-5x…

Q: (d) (x-2) n n! n=1

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Q: spe Let T be the linear transformation whose standard matrix is 1-2 3 A = -1 3-4 -7 -5 -6 Determine…

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Q: Sketch the region enclosed by x + y² = 56 and x + y = 0. a) Favoring convenience, should you…

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Q: convergent serie 12) Find the sum of each 2 A) / + = + ( ² ) ² + ( ² ) ³ + ( ²1 ) 4 + ... ( - )^² +…

A: Let's find sum of given series.

Q: Solve: y (cosx)= (9+ y²)

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Q: √2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du-…

A: We have given an indefinite integral  ∫x5·x6-24 dx Let,  u=x6-2 du=6x5 dx So, integral will be…

Q: Over the next 20 years, a company projects its continuous flow of revenue to be R(x) = 80e0.05%…

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Q: ind the equation of the plane that contains (1, -2, 1), (1, 0, 2) and (0, -2, 2)

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Q: Find the area between the curve and the x-axis over the indicated interval. 2 y = 36-x [-6, 6] The…

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Q: dentify the circle that has center (4, -2) and radius 4. Select the correct answer below: (x-4)² +…

A: Given query is to find the equation of the circle.

Q: Assume f and g are inverse functions. Which of the following statements is/are true? 1. y = f(x) if…

A: Please see the below picture for detailed solution.

Q: › = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

A: Given query is to find the derivative.

Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t&lt;2e2tt≥2and (b) L-13(s+5)(s-2)

Q: f(t) = e-2t sin³ 3t

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Q: solid generated using the Shell Method. 1. The region bounded by y=x+1, y=0, x=0, and x = 1 is…

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Q: Consider statements I, II and III below on antiderivatives. I. If we know one antiderivative of a…

A: Explained below

Q: The position of an object at time t is given by the parametric x=5t²+2t y=2t² +4 equations Find the…

A: Please see the below picture for detailed solution.

Q: 27) Suppose y = f(x) and y = g(x) are continuous functions which intersect at x = 1, x = 4 and x = 7…

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Q: What is the standard form equation of the ellipse that has vertices (±12, 0) and foci (±9, 0)

A: Given Vertices = ( ±a , 0 ) →( ±12 , 0 ) foci = ( ±c , 0 ) →( ±9 , 0 ) so a = 12  &amp;  c = 9

Q: Question 2 ( value problem y" +9y = 5 sin 2t, y(0) = 0, y' (0) = 2. , Consider the initial- (a) Use…

A: To find the solution.

Q: 23) Find values for a, b and Y in Y dx to represent the shaded area below. y = f(x)

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Q: 2 2 Find the area of the surface cut from the paraboloid x² + y² + z = 0 by the plane z = -20.

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Q: I Use Trigonometric Substitution to find the indefinite integral O None of these. In 3 +√9-2² - In|x…

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Q: 1) Write the Taylor Series for f(x) = x³ about x = -2 as Сп (x+2) ". n=o First 5 terms.

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Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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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: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

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Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

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

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Q: A firefly is flying along the path defined by r(t) = 20. At hat point(s) along the firefly's path…

A: Given position vector r( t ) = { t2 , 5-t2 , t3 } r( t ) = t2i + ( 5-t2 )j + t3kas we know that a( t…

Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

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Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

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Q: Which of the following is NOT true about the exponential function y = a where a > 1? O Its range is…

A: The domain of exponential functions is all real numbers. The range is all real numbers greater than…

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² - xy lim (x,y) → (9,9) √x √4

A: The given limit function is lim(x,y)→(9,9)x2-xyx-y  We have to find the limit value .

Q: 3. Solve the following inequality: x³ + 2x²-3x x-4 ≤0

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Q: Sketch the region enclosed by y = 4z and y = 8z². Decide whether to integrate with respect to z or…

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Q: Find the area of the region bounded by the given curves. (6,12) Sh D

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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: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

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