Evaluate the limit sin 3x lim 9x

Q: 1. Find the absolute maximum value of the function f(x)=x³ – x² – - x on the interval -1<x<10.

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Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

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Q: Which of the following formula is used to get the the equation of the slope of a line tangent to a…

A: Given query is to find the correct option for the slope of the tangent.

Q: 1-2 1 A system of equations is given. (a) Determine whether the system is linear or nonlinear. (b)…

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Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

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Q: If the slope of the graph of f (same as slope of tangent line to graph of f), at the point (1, 2),…

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Q: Find f'(÷) for f(x) = 2 sin z cos x

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Q: 2. (6x -2) dy d2

A: In the given question we will use the formula for that double integration ∫x=pq∫y=rtfx,ydydx Where…

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A: Given query is to find the coordinates of the point p and vector v.

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A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

Q: 64 8 If f is continuous and f(x) dx = 18, find xf(x²) dx.

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Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

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Q: Starting at age35 ​, you deposit​ $2000 a year into an IRA account for retirement.  Treat the yearly…

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Q: dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

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Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Q9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2,…

A: Consider the equation of the form          F(x,y,z) =0 then the equation of the tangent plane to the…

Q: (x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given…

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Q: 72n+1 E(-1)" 22n+1 (2n + 1)! n=0

A: Explanation of the answer is as follows

Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

A: Solved below

Q: (a) Determine the Cartesian equation for the parametric curve defined by x(t) = 5 sin t and y(t) =…

A: We have to find the equation of the curve ,tangent equation to the curve.   Note - As per our…

Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

Q: Find the first and the second order partial derivatives of the following functions.

A: Explained below

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.3 + 0.16t ft/s2.…

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Q: Compute ||A|| ||A|l, and ||A|l 2 8 A = 35 %3D

A: Given

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Q: The concentration of a drug in a patient's bloodstream, measured in mg/L, t minutes after being…

A: We need to find average concentration.

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=0: d'y_4dy –4+3y=…

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Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: Q15. Find the Maclaurin series representation for each of the following functions. For each series:…

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Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

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Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t < v2 In 5 NOTE: Enter the exact…

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Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find «(t). r(t) = e""i+ e'j K(t) =

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Q: Describe the graph of the equation. r = -6i + (1 – ²)j+ t k O It is a parabola in the plane z = -6,…

A: Let's find.

Q: 4х+5 f(x) = %D 9-3х А. х 3 -1 B. x =0 С. х 3 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: Find the point at which the line intersects the given plane. x = 4 – 4t, y = 5t, z = 1 + t; x + 2y -…

A: We have to find the point at which the line intersects the given plane.

Q: Find the area of the blue region. It is the area under the curve. 8 y = 3 x + 1 4 y =7– x 2 4 6 8.

A: This question can be solved using the concept of area under curve.

Q: 9. Find the work done by lifting a 20 ft rope that weighs 3 lbs per foot to the top of a cliff if…

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Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12

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

A: Solved below

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

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Q: (c) 5 In(3 – x) = 4

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Q: Solve for the function that will satisfy the given Bernoulli Differential equations: dy/dx + (1/x)y…

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Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

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Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: Find the particular solution y = f(x) that satisfies the given differential equation and initial…

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Q: Describe the graph of the equation. r = -6i+ (1 – 1? )j + t k O It is a parabola in the plane z =…

A: Given problem:- Describe the graph of the equation.   r = - 6i + (1 - t2) j + tk

Q: What is the length of a laptop computer centimeters or meters

A: We have to tell the unit of length of the laptop.

Q: Section 1.9 In Exercises 1-3, find the general solution of the differential equation specified. dy…

A: First order differential equation : Consider the first order differential equation…

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.