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

Q: (a) Find the velocity v (t) - |a| (b) Find the acceleration function. 71 sin (a) e7 [7 sin(81) + 8…

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Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

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Q: a) which of the following is the graph. of y = X² ex # B) 2 of 44 c)

A: Shown below...

Q: (2/7/277) 2√2 4 Find the slope of the tangent line to the graph of y = arcsin(2x) at the point Round…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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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: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

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: 2. Find an equation for the tangent line to the cycloid z = =e+3, y = 1²e-3e + 2 at the point where…

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Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: y = x^ex

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: Vector v is shown in the graph. पं احبه N T > 51 a 3 0 -1 N do O ||v|| = 9.220; e = 54.462° 2 Which…

A: To determine the magnitude and direction of given vector.

Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

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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: 10-9-8-7-6 -5 -43 -2 10 thow 4665 8 7 665 + 4 324 7 -3 -4 -5 -6 -7 -8 -9 10 7 ∞ 114 OI 6

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Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: COS 13п 15 COS Зл 15 + sin 13л 15 sin 3п 15 Answer: cos 10п 15 = cos 2П 3 = -1/2

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

Q: 20. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

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Q: DETAILS Use the Comparison Theorem to determine whether the integral is convergent or divergent.…

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Q: 12 C 10 B A 2 F G H D E

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Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: 2. Test the following series for convergence or divergence. If converge find its sum. Indicate the…

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Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

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Q: So Lov (x + y) dy dx to polar coordinates. a. Convert the integral b. Evaluate this integral. Hint:…

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Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Find the length of the loop of the given curve. x = 6t - 2t³ y = 6t²

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Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: uestion 1: For the graph of the circle below whose equation is of the form (x-h)²+(y-k)² = r2, enter…

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Q: 11) If the Taylor series of a function has the general expression xn f(x) = En=on! The corresponding…

A: To solve the following problem

Q: Evaluate the integral 0 L 6x (x²+1)³/2 dx.

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Q: rting to polar coordinates. dy

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Q: If f(x)= f'(x) = = tan z sec x -4

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Q: assume that Dr. Kim decides to purchase a car which is selling for $55,000 today. She needs to make…

A: Given query is to find monthly payment.

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: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.

Q: Suppose that an automobile's velocity starting from rest is v(t) = lecimal place. O 3.3 ft/sec2 O…

A: Acceleration

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

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Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: The farmer knows that the area of the rectangular enclosure must be at least 400 square meters. This…

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Q: Show that the vector field F = (yz cos(x)ey sin(x), z sin(x)ey sin(x), ey sin(x)) is conservative.

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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: What is the median of the following list of numbers? [4, 12, 12 6, 10, 3] Number

A: given numbers  4,12,12,6,10,3first step is to find median is to sort our dataset from lowest to…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: use derivative and critical points for absolute maxima/absolute minima

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: 19. lim x²-5x-24 x-5 x²-9

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Q: 11. -log/2x+3

A: To graph the given function. To state the domain and range. To identify the parent function and to…