Find {f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) cos( + - ==-) 6 f(t) = 12 cos t £{f(t)} = (No Response)

Q: Let f(x) = 0 for x < 0 and f(x) =x3 for x ≥ 0. Match the following. Here DNE means does not exist.…

A: Givenf(x)=0,x&lt;0f(x)=x3,x≥0We need to findf'(0),f''(0),f'''(0)

Q: did

A: Yes, you are right there is some mistake in part e. so, I am rectifying it in next step. Sorry for…

Q: Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

A: Given query is to find indicated cross product.

Q: dr Solver +rsece = cose Select one: O a r= O b. r= O c r Od r O e r= 20 - cose + c seco - tane 0 +…

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Q: Write the particular solution of the first order linear differential equatic + x)dy + (y - cosx) dx…

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Q: Let s(t) = 6t³ + 9t² - 216t be the equation of motion for a particle. Find a function for the…

A: Given data:- The equation of motion for a particle is, st = 6t3+9t2-216t

Q: Find the distance (d) between the planes x d = - 3y + 2z = 3 and x 3y + 2z = 1.

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Q: d csc 0 if tan 0 = 0 = and terminates in QII. Answer exactly. 15 Preview TIP Enter your answer as a…

A: Topic:- trigonometry ratios

Q: (a) Using your calculus skills, find the equation of the tangent line to the parabola y = 4x² - 2x +…

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Q: Calculate Dot Product (2, 4, 5) and 6 Let a = Find a . b. (5, — 1, — 5).

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Q: Find the following for the given equation. r(t) = (et, 7+², 5 tan(t)) (a) r(t) = (b) r(t) = (c) Find…

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Q: Can I have the value of constant of integration, rounded off to the nearest integer?

A: We need to round off the value.

Q: 23-24 Find the local maximum and minimum values of f using both the First and Second Derivative…

A: To find the local maximum and minimum values of f by using both the First and Second Derivative…

Q: 17. y = √t-cos t

A: Given query is to find the differential.

Q: Find the volume V of the solid obtained by rotating the region bounded by the curves y = 6/x, x = 1,…

A: Topic = Volume

Q: Find the constant of integration for the DE dQ 2 + dr -Q=4; Q(2) = 100. 10+ 2r Select one: O a. 1306…

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Q: Question 8 A graph displaying the relationship between the value of a stock and time is shown below.…

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Q: Find the dimensions of a rectangular corral split into 2 pens of the same size producing the…

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Q: Graphs of the position functions of two particles are shown, where t is measured in seconds. (Enter…

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Q: - Find the area of a parallelogram formed by the vectors PQ and PR, where P = ( − 4, – 4, — 6), Q =…

A: See the details solution in below

Q: A $360,000 building depreciates over time. The value y of the building after x months of use is…

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Q: Find the limit. 3 - 3 tan(x) lim x→→/4 sin(x) - cos(x)

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Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

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Q: and x³ and y = √√√x. Find the area enclosed between the curves y = x³

A: We can find the area between the curves.

Q: Find the values of v such that g'(v) = 0. (Enter your answers as a comma-separated list. If an…

A: Given function  g(v) = v3 - 48v + 8

Q: 1 2 ső ső (x + y) dydx 0 O none is correct O-3 02 0 3

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Q: (a) Find the dy = differential dy. y = ex/2

A: We will use differentiation to solve this.

Q: Answer the following p

A: Given ∫516x2x-5dx The objective is to evaluate the integral.

Q: 2. An equation like sin2 ? + cos2 ? = 1 is an identity because it is true for all values of θ. If…

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Q: Solve y" + 2y' - 3y = 1 + xex O y = C1e^-3x + C2e^-x + (1/8)x^2 e^x - (1/16)xe^x - 1/3 O y = C1e^-3x…

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Q: ind the linearization at x = a. 14x² x - 3' Jse symbolic notation and fractions where needed.) g(x)…

A: We have to find the linearisation

Q: Evaluate the following integrals using substitution(s): Might want to use your own paper 1. S - x²…

A: According to guidelines we can solve only first question .solution:-(1)∫x31-x2 dxlet 1-x2=t,…

Q: Given the position function s(t) = 2+³ - 2 +² - 60++ 3₂ where it is in seconds and s is in ft, Find…

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Q: The position of a free-falling object is given by s(t) = -4.9t² + vot + so where s(t) is measured in…

A: Note : As per our Guidelines , we can solve first three subparts .Please repost remaining subparts .

Q: b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an…

A: Please see the below picture for detailed solution.

Q: Given the points A: (3, — 2, 2) and B: (5, 2, 6), find the vector u = AB

A: The points are given by A3, -2, 2B5, 2, 6 To evaluate: The vector u→ = AB→.

Q: pr 1) Given the position function s(t) = 2+²³ - 2 + ² - 60t + 3₁ where it is in seconds and s is in…

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Q: Find the derivative of the function. Simplify if possible. y = arccos (e³x) y' =

A: Solution : Given that

Q: Find the inverse transform of the given function of s. = 6s - 49 s²-85+41

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Q: Find the domain of the vector-valued functions: R(t) = √t² - 9 î+ In]t − 3] ƒ + (t² + 2t − 8) k B.…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1. For the function f(x) = 4x³ + 3x² - 6x + 1, find the following: (a) The critical numbers of f (b)…

A: Given query is to find the critical numbers and the intervals where function is increasing and…

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

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: NOTE: Refresh your page if you can't see any equations. . x=side of the square cross-section of the…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the GS for y" - y = exe-x

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Q: Evaluate the double integral. 116 4x². (+² + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

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Q: f(x) = 3x4 cos(x)

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Q: S x² x²+49 -dx

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Q: Jse logarithmic differentiation to find the derivative of the f 3x y =(√x) ³x ''(x) =

A: We need to find out the differentiation of the function.

Q: X = 8 At the end of your work, sketch the graph of 5 x²¹ 2. y 8x8 and 1. y = 3. The tangent line at…

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