Evaluate the integral. (Use C for the constant of integration.) t t [cos ³ ( =) sin ² ( =) dt

Q: Determine the intervals on which n is continuous. Enter the solution using interval notation. n(c) =…

A: n(x)=4x(x2−225)2

Q: For the equation given below, evaluate y' at the point (1,1). at (1, 1) = (5x - y) + 2y³ = 258.

A: we do only first part of multiple questions. Please re post other parts.Given, we know,

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) — 4g(x)] = −34. zb x-b O False True

A: Given statement

Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A: Just I have used the analytic method and calculated the limiting value by replacing x by 5 in the…

Q: Use the functions below to find the given value. -X- f(x)=1/x-3 g(x) = x³ (g-¹ o f-¹)(-3) = =

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Q: -5 -4 -2 -1 5- 4 3 2 1 -2 -3 4 com. 3 4 5

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Q: On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the…

A: The distance between the two cities = d milesThe average speed of the trip = Where  is time taken by…

Q: 8. lim X118 et te et - e -X

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Q: 11000+ 10000 9000 8000 7000 6000 5000 4000 3000 2000- 1000+ 100 200 300 400 500 600 700 800 900 1000

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Q: 3. Use the definition of convergence to prove lim Ross 9 is allowed. 4. Use the definition of…

A: 3)lim 3n/(n+1)4)lim (n-1) /(n2+1)

Q: A force of 5 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

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Q: do #11

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Q: grap S 2- 14 x Enter the point whose tangent line has the steepest positive slope. Enter the point…

A: Find the Solution of all three question with the help of given graph.

Q: 6. Use the given graph of f to state the value of each limit, or explain why it does not exist. (a)…

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Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A: L=limx→−99−19

Q: y' + 2y = 0 y(0) = -2, (0) = 3 a. Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find…

A:

Q: Find the distance from the poinst (-5, 2, -3) to the z-axis.

A: Given:  Point: ( -5 , 2 , -3)

Q: Use the Laplace transform to solve the following initial value problem: y" + 3y 18y=0 y(0) = -1, y…

A: The given initial value problem,.The aim is to find the solution to the initial value problem.

Q: (a) Find the slope, m, of the tangent to the curve y = 4 + 5x2 - 2x3 at the point where x = a. m=…

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Q: Find the Laplace transform of F(s) = f(t)= So, t²6t+16, t < 3 t≥3

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Q: Sketch the region R whose area is given by the iterated integral. 8 8-x + L*I*** [** 8 6 4- 2- dy dx…

A: To sketch the region R whose area is given by the iterated integral.To change the order of…

Q: Find the composite functions (f o g) and (gof). What is the domain of each composite function?…

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Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A: We have given,   lim x -&gt; - 1 (- 3x2 + 5x + 2)

Q: 2 Compute (In²x + 5x)dx CSC

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Q: Use the intermediate Value Theorem  Let f(x) = 3x^3 - x^3 + 1. Show that there is a number c,…

A: Note:-Since you asked multiple questions, according to our policy we can only solve first the…

Q: x² + 3x tim x →6 X²-3x - 18 2

A: The limit of a rational function can be easily solved by factorisation of the numerator and…

Q: (4) Find the average value of each function on the given interval. (a) f(x) = x(x²+1)7, [0, 1] (b)…

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Q: Orthogonal Matrix Determine whether matrix A given below is an orthogonal matrix 0.8 0.6 00 -0.6 0.8…

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Q: Complete the following. (a) The graph of y=h(x) is shown. Draw the graph of y=2h (x-4). -8 -6 4 -8-…

A: We have to draw the figure of 2*h(x-4).

Q: X = A 9 F 2 d puly

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Q: 3.13.* A column of soldiers is marching 12 abreast at a speed of 4 mi/h. To get through a narrow…

A: Given that a column of soldiers is marching 12 abreast at a speed of 4 mi/h. To get through a narrow…

Q: Given f(x)=√x and g(x) = x² - 25, evaluate each expression. (a) f(g(5)) (b) g(f(5)) (c) g(f(0)) (d)…

A: f(x)=sqrt(x)g(x)=x2-25

Q: The position of an athlete, in meters, running a 40- t³ meter dash is given by h(t) 2 measured in…

A: The position of an athlete is given as

Q: The slope of the tangent line to f(x) = 3x² − 1 at x = 2 is 12. false true

A:

Q: Estimate the slope of the graph at the points (x₁, y₁) and (x2, Y2). At (x₁, y₁), slope = 0 At (x2,…

A: The slope of line passing through two points is m

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: 2 V3-5 (1) √√√3 dx.

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Q: (d) lim (3x-2) = ∞ X-∞0

A: The given function is

Q: 7. 2 2 lim (√x² + ax - √√x² + bx

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Q: = Use the piecewise-defined function to find the following values for f(x). f(x) = 4-5x 4x 5x+5 if…

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Q: Find the surface area of revolution about the x-axis of y = 2x +1 over the interval 0 ≤ x ≤ 3

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Q: 12. lim x18 x! 3x³ +2

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Q: Find the derivative of the function. f(x) = x6x

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Q: Consider the following problem. Find the distance traveled in 15 seconds by an object traveling at a…

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Q: Dialysis treatment removes urea and other waste products from patients' blood by diverting some of…

A: Given that, where is the rate of flow of blood through the dialyzer, V is the volume of the…

Q: 3. Recall that a function of the form f(g(x)) (also written (fog)(x)) is called a composite…

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Q: Find the constant a such that the function is continuous on the entire real line. = √2x², a = f(x):…

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Q: The table below gives the annual sales (in millions of $) of a product. 2012 2013 2014 2015 2016 252…

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Q: Find the volume of the solid formed by rotating the region enclosed by Y e+3, y=0, z = 0, z = 1…

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Q: Given the sequence an = 7n² +9 n4 +3 This sequence is Select an answer This sequence is [Select an…

A: Here we need to solve whether The sequence is bounded or unbounded.The sequence is monotonic or…