Find the following limit. lim <3t² - 2t - 5, t→7 answer = < t² - 1t - 42 t-7 3. cos(t) >

Q: evaluate to dx dx integral 540

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Q: Find the following limit. lim <5t²5t + 2, t→7 answer=< t² - 4t - 21 t-7 2. cos(t) V

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Q: ind the relative extreme points of the function, if they exist. Then sketch a graph of the function.…

A: In this question, we want to find the relative maximum and minimum point of the given function f(x).

Q: Set up, but do not evaluate, integral expressions for the mass, the center of mass, and the moment…

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Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

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Q: Find the sum of the infinite geometric series 54+18 +6+2+ 213 2/9 +=+

A: The geometric series is;  54+18+6+2+2/3+2/9+...

Q: The diagram shown is a regular hexagon. Please label it as ABCDEF. Write each of the following as a…

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Q: Question 5 What is the exact value of A B C 위~ SI 2 2 ㅠ 200(1) - 40%(1 COS D √6 2

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Q: A rectangle is inscribed in a semicircle of radius r= 11, as shown in the figure. Find a function…

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Q: The population (in millions) of a country in 2007 and the expected continuous annual rate of change…

A: Given : k= - 0.006 P(7) = 2.3

Q: Use the graph of the function f(x) above to complete the following. f(2) is_ OA. Positive OB. Zero…

A: value of the function at x=2

Q: In a certain environment, a colony of bacteria grows according to the model A = Age0.18t, where A is…

A: given  A=A0e0.18tA0 is initial number of bacteria given A0=250

Q: 2. Sketch the graph of one rational function f(x) that satisfies the following: Zeroes at x = -4 and…

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Q: Use the graph of the function f(x) above to complete the following. f(-4) is. OA. Positive B.…

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Q: Differentiate the following functions using the power rule. Use positive exponents in each final…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: From the figure consider the representative rectangle. The radius of the solid of revolution…

A: From the figure    Disk method

Q: The population of a town is now 15,000 and t years from now will be growing at the rate 100√t people…

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Q: 3. If lim[x² -f(x)] = 2, use the Rules of Limits to evaluate lim x-

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Q: Use Newton's method to estimate the two zeros of the following function. Start with Xo = 1 for the…

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Q: Given x4 +5xy-y³ = y +7, dy dx 11 use implicit differentiation to find dy dx

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Q: You plan to build a cylindrical container with no top. The material used for the lateral sides costs…

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Q: Express the diagonal of a rectangle, d, in terms of its width, w, if the area of the rectangle is 7…

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Q: S3 f(x) dx = −3 and 2₂9(x) dx = -2, what is the value of f(x)g(y) dA, where D is the rectangle: 3 ≤…

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Q: approximate using taytoy polynomial Invoer +260

A: Given, fx=x-3a=1n=20.9≤x≤1.1 The Taylor's Polynomial is given by…

Q: Consider the function f(x) = x^2 − x −1/2ln(x^2). (a) Find critical numbers and the intervals on…

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Q: 0 K A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 900…

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Q: Problem 1. Find the local maximum and minimum values (and their locations) and any saddle point (s)…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -6x² - 4xy-4y²…

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Q: Description suppose f(x) is given: 1- explain steps you take to find out where Min and Max points…

A: (1) To find the minimum and maximum points of a function f(x), we need to find the values of x that…

Q: Neu Fabrication Company operates 360 days a year and uses 150 cartridges each day. Using a…

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Q: Given the points X (1,2,-1) and Y (0,3,-2), find a vector collinear with XY having opposite…

A: Given :- Points X1,2,-1 and Y0,3,-2

Q: Solve for x: 103-6-32x-2 X

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Q: he time t, in minutes, between successive arrivals at an emergency room of a certain city hospital…

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

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Q: : f(x) \^x Find T₂(X) 19=1

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Q: Compute the determinant of B [400 9501 3 2 28 800 101

A: The matrix is given by B = 40041056322880010 To determine: The value of determinant of the matrix.

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

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Q: x²-x-3yx+3y lim (x,y)-(3,1) x²-9y² This option

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Q: Consider the following cost function: C=0.3q³-3q² +70q+150. When output is 18 units, average cost is…

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Q: Jump to level 1 Order the functions by growth rate. a(x) = 9ª + 9x c(x) = x log₂ (x) +20x! Select…

A: Please see the below picture for detailed solution.

Q: 1 Let C = 0 1 a) Find C-1 b) Use C¹ to solve the following system. 1 x + 3y 30 14 - 1 2 = 7 y + 4z =…

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Q: Find the most general antiderivative. (Use C for the constant of integration. Remember to use…

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Q: Sketch the graphs of the functions f and g. f(x) = 9x², g(x) = 2x + 3 -10 O 5 hty Ay X 5 10 -10 -5 5…

A: Area

Q: tank is full of water. Find the work W required to pump the water out o T 1 m Ť 4 m 12 m 4 m

A: The volume of the water of thickness '∆x' at height of x from the bottom.  In △CGB &amp; △CFEFE∥GB.…

Q: Determine the equation of the tangent to f(x) at (3, 6) f(x) = (8x-7)(x + 2x²)

A: f(x)=(8x-7)(-x+2x2)equation of tangrent line is y=mx+cwhere m is slope of linem=f'(x)

Q: A carpenter wants to build a rectangular box with square sides in which to put round things. The…

A: We can use maxima minima method to solve the given problem.

Q: Finite Math - Graphing Linear Inequalities: - Sketch the region that corresponds to the given…

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Q: Sketch the graphs of the functions. O O f(x) = x³ + x² - 2x and g(x) = 0 L -8 -6 -4 -2 y 8 6 4 2 -2…

A: To draw the graph f(x)=x3+x2-2x

Q: Which curve does it need to be label and what area are we shading in?

A: Labeled graph is given below,

Q: What is the equation of the verti asymptote of the following grap

A: here , we have graph of a function , then we have to find equation of vertical asymptotes :-