f(t) = e-2t sin³ 3t

Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

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Q: Does the series converge conditionally ot absolutely

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Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

Q: Could you find the equation of the graph?

A: A logarithmic graph is given and we have to find its equation.

Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: - Let F(s) = I O None of the others 0 3e2t 1 2 2 e2t 2 e2t 2 N/W N/. + 2 1 s²-2 s Give your reasons…

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Q: dx + 7) Evaluate Sexy² vertices (0, 0), (2, 2) and (2,0) 2x²ydy where C is the triangle with

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Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: 10) a 26 foot lodder bons against a building so that its foot moves away from the building at the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: Differentiate the function. y' = y = In ( 16 = 3x²|)

A: we know that   dlnxdx=1xdxndx=nxn-1dconstantdx=0given  y=ln6-3x7

Q: The revenue in dollars generated from a sale of x picnic tables is given by R(x) = 22x- (a) Find the…

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Q: If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: (-26)³ 6 If so, write it in the form f(x) = kx². Is the function g(x) The function is g(x) = kx² ||…

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

A: Given that y=1-x2-xcos-1(x)

Q: Given the geometric sequence: 28, Find a11 196 13 - 1372 169 = 28. Find an explicit formula for an,…

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Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: Find the area bounded by the line f(x) = 2x + 15, the curve g(x) = x² − 4x + 20, and the two…

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Q: Find the distance between the points with polar coordinates (6, π/3) and (8, 2π/3).

A: formula for distance is  D=(x2-x1)2+(y2-y1)2in rectangular coordinates  x=rcosθ and y=rsinθgiven…

Q: Solve the problem. 1 -3 0 13 Let A = -4 0 2 and b= 14 4 5-4 -45 Define a transformation T: R³ -> R³…

A: We can solve this as follows:

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: 4 n=1 What is the expansion of the series 4+1?

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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: Inverse Laplace transform of 2S-5 2 + is s²+16 F(s) = f(t) = 2cos(4t)-5sin(4t)+t² دی Select one: O…

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

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Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: 1. Evaluate: 1 1+x+x\ L₂FF dr

A: Given integral is ∫-2111+x+xdx

Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: er the equation of the parabola graphed below, using the vertex form y = a (x-h)²+k. y = (-1,0)…

A: To solve the following problem using graph

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<2e2tt≥2and (b) L-13(s+5)(s-2)

Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: mpute the following integrals using suitable method. [xy dxdy, where R is theregion bounded by y=1,…

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Q: Find the four second-order partial derivatives. 5 f(x,y) = 2x y-5xy +9y fxx(x,y) = fxy(x,y) = fyx…

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Q: Match the following functions with the general shape of their graphs. Functions f(x) = ln (x + 2) -…

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Q: 3) dx xinx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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: Find the one-sided limit (if it exists). (If the limit does not exist, enter DN 2x sec X lim…

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Q: Solve: y (cosx)= (9+ y²)

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Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

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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 dy/dx by implicit differentiation. 7x²y + 4y²x = -1 dy/dx =

A: Given query is to find derivative.

Q: Question 1: A radioactive element has a half-life of 30 years. If you begin with 7000 grams of the…

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Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: Find the derivative of the function. y = sin ¹(cos-¹(t))

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Q: At time t, the position of a body moving along the s-axis is s = t³ - 9t² +24t m. a. Find the body's…

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Q: A jet plane flies at a high speed of 400 m/s at the altitude of 1000 meters. A camera crew on the…

A: Given A jet plane flies at a speed of 400m/s at an altitude of 1000 meters.A camera crew on the…