In x Sketch function f(x)= by finding all asymptotes, turning points, points of inflection and end behavior. (Find exact location of any turning points and points of inflection).

Q: Ley y = tan x. (a) Find the differential dy. dy = (b) Evaluate dy and Ay if x = t/3 and dx = -0.1.…

A: (a) Here f(x)=y=tanxdy=f'(x)dxdy=sec2xdx    =sec2(π3)(-0.1)    =-0.4

Q: Q2) Solve the D.E xdy + (2y-x+ 3x)dx 0

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Q: Problem: At time t = 0 there are 10 person in a community of 1,000 people who has the flu.…

A: Required formula:  Logistic growth model: Nt=K1+K-N0N0e-rt Where,  r = Exponential growth rate…

Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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Q: cos e d0 Jo 1+sin? A 2

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Q: Determine the value of c for which lim (1 + 2,5n = ell n-00 сп

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Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

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Q: Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Given that,  r1(t)=6t i+9t2 j+5t3 k,  r2(t)=t4k

Q: If possible, find AB and state the order of the result. (If not possible, enter IMPOSSIBLE.) -1 6 3…

A: Given A=-16-3504 & B=3209 To find AB:

Q: fx)-fla) Use the alternate definition, lim to determine the instantaneous rate of X- a 著→ 2 1 change…

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Q: A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the…

A: Required formula:  Logistic growth model: Nt=K1+K-N0N0e-rt Where,  r = Exponential growth rate…

Q: velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 - 2t…

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Q: Determine an equation of the line tangent to the curve Y = 10 at the point with x- coordinate 1.…

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Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the…

A: This is application of derivative problem

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

A: Evaluate the indefinite integral

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 4t2 – 2 sin(5t)…

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r'(t)||³ r(t) : = 11 cos(3t)i +11 sin(3t)j +…

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Q: k 7) Determine the interval and radius of convergence for E k! x"

A: Given

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: Find the position function s(t) given acceleration a(t) = 2t if v(2) = 0 and s(2)=1.

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Q: Question Describe the set S={ x: |(1/2)x-3| > 4 } Select your answer S= (-00, 12] U (14, o] S= (-00,…

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Q: X – 1 limx → 1 V 4x – 2/x -

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Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

A: Solved below

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

Q: What is the volume of the solid formed by revolving the region bounded by 8y = x2 and 8x = y? about…

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Q: Integrals

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Q: etermine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Given: (-5,4,-1) and (-3,-5,0)

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

Q: Q4) Find for the following functions dx 4. coth(ln x) y = 2x+3 3x+4 6. y = tan-1 V4x3 - 3

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 4 1 lim t→+∞ \ 8t2 +9' 4t |(?, ?)

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Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: 4. coth(ln x)

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Q: Let u= where A and B are some constants. Given that u+ 6v= find the value of the product A.B.…

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Q: 3. Sx Vx? – 4dx 4. S(2 – sin 4r) dr 5. S cos x sin? x dx

A: LetI=∫xx2-43dxPut x2-4=udifferentiate 2xdx=duxdx=du2I=∫xx2-43dx.I=∫u32duTake the constant out:…

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t→+∞ \ 3t2 +4’ 6t (?, ?)

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Q: Let й —, i = where A and B are some constants. Given that ủ + 40 = find the value of the product…

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Q: Verify Green's Theorem by evaluating both integrals aN y? dx + x² dy = /, J da ay ax for the given…

A: We have to verify the green theorem for the

Q: Given a derivative transform of s³Y (s) – s²y (0) – sy (0) – y" (0) – 382Y (s)- 3sy (0) - 3y (0) +Y…

A: We will use the formulae of Laplace transform of derivatives of a function.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given :r(t)=cos(πt)i-ln(t)j+t-14k ; t0=15To find : The domain of r(t) and the value of r(t0)

Q: 1 Suppose that L is a location function of an object, given as L(t) : We 2t – 3 will compute the…

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Q: 0. xe-4x dx 1 dx x(ln x)3 4

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

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Q: Convert the point from cylindrical coordinates to spherical coordinates. (6, 7, 8) (р, в, ф) -

A: Given: Now, we need to convert the point from cylindrical coordinates to spherical coordinates. We…

Q: Write the logarithmic equation y = In (4x) in exponential form. The equivalent exponential form is

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Q: ) Find for the following functions (choose five only): dx 1. y = 2* + e2x-1 2. y = sec x tan x 3. y…

A: We can solve this as follows:

Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

Q: Determine the conjugate radical of the expression -8+35. O-8 -35 O NE + 35

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