L{e-²t cosh 3t}

Q: A company estimates that its sales will grow continuously at a rate given by the function S′(t)=40et…

A: To find the total sales with rate of sales given.

Q: You borrow $950 from a payday loan office for 15 months. They charge you simple interest at a rate…

A:

Q: Suppose F′′(x)=Ax+B, with F′(1)=r and F(1)=s. Find F′(x) in terms of A, B, and r. F′(x)= Now find…

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Q: O2sin(30°) cos(30°)

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Q: Determine whether the following two lines L1 and L2 are parallel, interesecting, or skew. L1: x/2 =…

A: Solve the following

Q: In 2005, a school population was 2487. By 2008 the population had grown to 2799. 1)What is the…

A: Let's find population equation.

Q: Find the number b such that the line y = b divides the region bounded by the graphs of y = 36x2 and…

A: Given y = b line divides the region bounded by the graph of y = 36x2 and y = 4

Q: 1. Find the area under f(x) = 6x² + 4x - 1 from x = 1 to x = 2.

A: To find the area under the given function

Q: Solve this differential equation: dy dt y(0) = 10 y(t) = 0.03y(400 - y)

A: We have to solve the given D.E.

Q: How many solutions exist for the equation cos 20 - sin 0 = 0 on the interval [0, 360°)? Oo 01 02 03

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Q: Find the points (x, y) at which the polar curve r = 1 + sin(0), horizontal tangent line. Vertical…

A:

Q: Determine whether each of the following vector fields F⃗ F→ is path independent (conservative) or…

A: use partial derivative for checking the path independent.

Q: 5. Given sin 0 = 7 for 0 in Quadrant II, evaluate the six trigonometric functions. 25

A: Given query is to find 6 trigonometric functions.

Q: Evaluate the following integral ffe D es da over the given region D, where D = {(x,y)|1 ≤ y ≤7,0 < x…

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Q: Find the velocity and acceleration vectors in terms of u, and up. do r = a cos 40 and dt V= = 4t,…

A: Solution Given r= acos(4theta)

Q: The distance d (in meters) of the bob of a pendulum of mass m (in kilograms) from its rest position…

A:

Q: 3. On a hot summer afternoon, a city's electricity consumption is -3t² + 18t + 10 units per hour,…

A:

Q: Find f such that f′(x)=x2−4and f(0)=8.

A: Given that f'x = x2-4 and f0=8.

Q: What are all the solutions to the equation sin 2x = sin x in the interval [0, 2п)? 0 10, Зл 2 0,…

A: We have to find the solutions to the given equation.

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

A: The given curves are  x=4-y2,  x=y2-4

Q: | t² sin(t) dt

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Q: 25. y = In xa bx

A:

Q: Find the area between the curve and the​ x-axis over the indicated interval. y=3/x ; [1,7]

A: Given curve:- y=3/x  To find:- Area between the curve and the x axis [1, 7]

Q: 7. Using Reduction of Order: (D² - 1)y= 2e²x 8. Using Reduction to an equation whose Right Member is…

A:

Q: 2x -5 dx x²-2x-8

A: I=∫2x-5x2-2x-8dx

Q: The function g is defined as follows. g(x)= (a) = Find the following limits. If a limit does not…

A:

Q: Evaluate (6x +4√/y) ds where C is given in the accompanying figure. ...) 1- (0,0) y=x (1,1) y=x² X Q…

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Q: The sets F and E are given below. F = {a, f, g} E = {e, g, j}

A:

Q: (c) T/2 πT 3 cos* r sin rdr

A:

Q: a. Determine whether (F(x,y)) is a conservative vector field? b. If the vector field is not…

A:

Q: Solve by the elimination method. 8x - y = 39 x+4y= 9

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Q: Calculate to sum of the first 99 terms of the following series:  8+24+72+216

A:

Q: Kate starts a new business manufacturing bobble-head figures of Eagles players. Her initial cost is…

A: To solve the following problem

Q: Which Vector Integration technique/theorem should you use for the problem below? Please use complete…

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Q: Which of the following is the power series representation for the function f(x) = ¹¹:

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Q: R = √√√6

A:

Q: Find all solutions of the following linear system: 4x+8y-12z 2x +2y-2z 5x -5y-5z = 0 = 0. = 0

A: To find all solutions of the following linear system.4x+8y-12z=02x+2y-2z=05x-5y-5z=0

Q: 5. Write an equation for the following graph in the form y = a(x − h)² + k, where a is either 1 or…

A: see below the answer and calculation

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Evaluate the surface integral F. dS where F = -2xy + x²j – 2yzk and S is the surface - z = xe³, 0≤ x…

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Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

A:

Q: Find the degree three Taylor polynomial T3 centered at x = 0 for f when f(x)= = 1 (4x + 1)¹/2 1.…

A: Given that , fx=14x+112 find the degree three Taylor polynomial centered at x=0.

Q: Question 10 d Use the limit definition of the derivative to find · - (2x² - 2x) dx

A:

Q: Which expression does (sin x)(cos 2x) + (cos x)(sin 2x) simplify to? O cos 3x O-sin x sin 3x O…

A: To simplify the expression

Q: How do you convert to cylindrical coordinates???

A: Given equation ( x2 + y2 )32  = 1  we want to convert the above equation in cylindrical coordinates…

Q: how do you find the polar area of the following single curve, Calculus 3, using the polar area for…

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Q: 5. Given f(x) = ex In(x), find the linearization at x = 1 and then use it to approximate f(1.02).…

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Q: Find a number & such that f(x) - 3| < 0.2 if x + 1| < 6 given f(x) = 2x + 5 Leave the result as a…

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Q: The line joining P and Q crosses the two parallel lines, as shown in the figure. The point R is d…

A: We have to find the distance of point S from Q  so that the sum of the areas of the two shaded…

Q: Determine if the followung series converge or diverge (include test name)

A: