dx x√x²-9 ·S

Q: St tan³ x secx dx

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the area of the region under the graph of f on [a, b]. f(x) = e-x/2; [-1, 6]

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Q: A total-cost function is given by C(x) = 1700(x² +5)¹/³ +800 where C'(x) is the total cost, in…

A: the given cost function C(x)=1700(x2+5)(1/3)+800 , for the production of x airplanesrate of change…

Q: Assume log x=0.31, log by=0.57, and log z=0.85. Evaluate. √xy log b z

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Q: 8. Consider the vectors u, v and w. If 2ũ = [2, -2, -6], ỷ = [-1, 1, 2], and w = [-1, 1, -1] find…

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Q: Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian…

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Q: Let's look at an example involving a generic function. Given that f(x) = x² +5 (where f(x) = y) and…

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Q: Sketch a graph of a function g that satisfies all of the following conditions: a. limh(x) = h(-2) =…

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Q: 4. Determine the distance between the point (1, 0, 1) and the plane [x, y, z] = [1, 2, 3] + s[2, 1,…

A: GivenEquation of plane

Q: Solve e²¹ = 2400 for t. (Round to three decimal places as needed.)

A: Consider the equation

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: A horizontal tangent to a curve of a function f(x) at peaks of the function.

Q: If f(x) = 5 sec (3x), find f'(x). 15 sec (3x) tan (3x) Find f'(3).

A: We are given that f(x)=5 sec(3x)From the first part, we get f'(x)= 15 sec(3x) tan(3x)Now, we need to…

Q: Evaluate the following one-sided limit. lim z+1 (z − 1)(z + 4) |z − 1| =Number

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Q: - from 3 4. (Light Bulb) An ornamental light bulb is designed by revolving the function f(x) = √z…

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Q: Evaluate the definite integral. [₁²₁ (x^² + ²3 ) (x² + +7 + 2x)-² dx

A: Solution-

Q: Let f be the function satisfying f'(x) = 2x – 3x f(x) for all real numbers x, with f(0) = and lim…

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Q: Consider the integral ²₂ f(x) dx. In order to ease your calculations, here is the table of some…

A: The table of the values of the function is

Q: 3. Show that f (x) =x- cos x has at least one zero. Justify your answer.

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

Q: 4) f(x) = {2x²-5x+1 ;ifx>-s 3X+2 if xs-s ; at x = -5

A: given function

Q: 4. The given limit represents the derivative of some function f evaluated at some number a. That is,…

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Q: 5. Determine the equation of the tangent to h(x) = e* sinx at the point where x = -1. Express the…

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Q: Consider the following graph of f(z). 10 -9 -6 a m co 8 6- + 2- b N T -6 -m 3 -60 9 a For 12 X

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Q: 3. Suppose a stone is thrown vertically upward from a height of 96 ft above the ground in a vacuum…

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Q: Find the work required to pump all the water out of a cylinder that has a circular base of radius 5…

A: Given:A cylinder with circular base of radius 5 feet and height 200 feet where density of water is…

Q: h→0 h 5. Use the limit definition of derivatives to compute f'(x), where f(x) = ax²+bx+c. Assume…

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Q: P(t) = 0.01484t2 + 0.446t + 15    (0 ≤ t ≤ 22) where t is measured in years, gives the percentage of…

A: We have given,   P(t) = 0.01484t2 + 0.446t + 15    (0 ≤ t ≤ 22)

Q: 1. Using the 3-step rule, find ƒ' (t) given f (t)= 2t+1 t+3

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Q: Use long division to divide and use the result to factor the dividend completely (7x²9x - 10) = (x -…

A: Consider the following

Q: =r walking through the fifth gate, your computer informs you that more than half of the gates have…

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Q: Find u. v, uu, ||u||², (u · v)v, and u. (2v). u = 5i + j - 9k, v=i-4j + 5k (a) -44 (b) 107 (c) 107…

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Q: Find the work required to pump all the water out of a cylinder that has a circular base of radius 5…

A: We have to find the work required to pump all the water out of a cylinder.

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: Given data :f(x) = Intervals given x = 4 and x = 8To find an area for two and four rectangles.

Q: Find the indicated derivative. dx dy dx = for y = x14

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

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Q: 30. Physical Science A plane flying into a headwind travels 2200 miles in 5 hours. The return flight…

A: A plane flying into a headwind travels 2200 miles in 5 hours. The return flight along the same route…

Q: graph of h in the given figure to find the following values, if they exist. (a) h(5) (b) lim h(x)…

A: We are given multiple numbers of sub parts and answer will be according to the guidelines.

Q: How. 2 Evaluate the following cartesian integrals changing them into equivalent Polar integrals:…

A: The given integral is:The aim of the problem is to evaluate the given cartesian integral by changing…

Q: 8. u = i- j + k, v=i+j+ 2k

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Q: The curves F₁(t) = (2t, t5, 4t¹) and 72(t) = (sin(5t), sin(t), t) intersect at the origin.

A: The curves r→1(t)=⟨2t,t5,4t4⟩ and r→2(t)=⟨sin⁡(5t),sin⁡(t),t⟩ intersect at the origin.

Q: Using u-back substitution, fsin² x cot³ xdx will be transformed to to it. O S(1-u²) (u²) du 2-u² -du…

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Q: 18. If three planes intersect in a point then the triple scalar product of their normal 19. In…

A: Statements are given.18. If three planes intersect in a point then the triple scalar product of…

Q: if f'(x) = 5 - (8/x^2) , x≠0, find the value of f(4) given that 2f(1) = 4 + f(2)

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Q: The following chart shows student population in a certain elementary school over a 5 year period.…

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Q: Evaluate the following limit. lim (ln(t) + In(6t + 5) — ln(6t² – 5t+3)) t→∞0 Number

A: Given data

Q: A seismological station located at A (0, 1) detected an earthquake with epicenter 3√5 units away.…

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Q: Convert the point (p, 0, 4) = (1 "" or decimals to at least one decimal place. 11п 2п " 6 3 (x, y,…

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Q: 1) Given the functionf(x) = ln(x² - 169). a) Find the domain off. b) Find all the values such that…

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Q: X=4 Z=9-2 y y=2 y

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Q: Analyze the function below. Which of the following is/are true? 8 f (d) 818 88 x+5 as x→ 1+, f (x)…

A: The function is

Q: D) Consider the function f(x) = i) Find lim f(x). x-0 [-% for x 0; ii) Verify whether f is…

A: (D)f4(x)={−1/x for x<0cot⁡x for x>0