Determine the intervals in which the reciprocal function of the increasing. f(x) = x² +1 0 (-1,00) 0 (-∞,0) ○ (0, ∞) 0 (-∞0, ∞)

Q: Which recursive sequence would produce the sequence 7, 33, 137, ...? O a1 a₁ = 7 and an Ο αι = = 7…

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Q: Find the volume of the solid that results when the region enclosed by y = e²x, y=0, x=0, x= ln 5, is…

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Q: Please answer completely. Step by step. Evaluate. ग ? Sin ³ de 3 1-coso

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Q: Prob. 4 (a) (6 pciats) If h(x) = (1 + f(x))³, where f(1) = −2 and ƒ'(1) = 3, find h'(1).

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Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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Q: Find F(s). F(s) = L{(1 et + 5e-3t)cos(6t)}

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Q: Find the equations of a line through the points (-5,5) and (10, -2) (slope-intercept form) passing

A: Recall: The equation of the line in slope intercept form is, y=mx+c, where m=slope, c=y-intercept.…

Q: (1) ſ [ (x³ + 2 + 7 ) dx (3) cos³x dx (2) √ x³ (2) x3 e3x+1 dx (4) sin x sin 2x dx

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Q: Complete the table by identifying u and du for the integral. [ f(g(x))g'(x) dx [x²√x² + 6 dx U= u =…

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Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x — axis, the limits…

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Q: Determine whether the lines intersect. If they do, find the coordinates of the point of…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = e-t cosh(t)

A: NOTE: Refresh your page if you can't see any equations. . take Laplace use the Laplace rule

Q: An even function f(x) for all values of x and x holds a. f(x) = f(-x) b. f(x) = -f(x) c. f(x) =…

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Q: 0 ( -1 tan x du Q\ find dy if (xay sinx=(√√ au) - y² cosi'x

A: Given data:- x-ysinx=∫x2tan-1xdu1-u-y2cos-1x

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s. f(t) = et cosh(t) L{f(t)}…

A: Note: Since the student has not given Theorem 7.1.1 to find the Laplace transform, so we solving…

Q: Find the derivative of the function y=√4-3x.

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Q: 1 x - x² 3 2√√√x -8 dx

A: The given integral, ∫-8-1x-x22x3 dx

Q: 1) x(x + 1) dx S (3) x² x² +9 dx (2) √ x(x x(x + 1)³ dx (4) (x² + 1) cos x dx

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

Q: Find points of intersection of the graphs algebraically.

A: This question is related to intersection of graphs, we will solve it using given information.

Q: Write the first-order differential equation in standard form. (Use yp for y'.) −xy' = (8x + 7)y +…

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Q: 3 ne the area bounded by the functionsf (x) = (x+1) ³ andg (x)=x+ 1. one of the given choices 1 -…

A: Please refer to the image below

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A: a. Given that, the function is fx=e-10x. Note that, the Taylor series expansion for the function fx…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Follow the procedure given below.

Q: 1 ) [ x (x ² − ² + + + + ) dx i) - x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: we have to find limit of function  here function is given y = x x =4 and x axis  x axis means x = 0…

Q: 8) Solve the differential equation by using integrating factors. xy' = 6y + x2 y(x) =

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Q: Tutorial Exercise Find the value of the derivative (If It exists) at the Indicated extremum. (475)…

A: Given that, the function is fx=-3xx+2. Rewrite the given function as follows. fx=-3x·x+2=-3x·x+212

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

Q: For u(x, t) = f (x + ct) + g (x – ct), where c is a constant, find ux, ut, uxt . Show your work…

A: Given, u(x, t) = f (x + ct) + g (x – ct)

Q: For a certain drug, the rate of reaction in units is given by the function where t is measure in…

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Q: Given the graph of the following degree 4 polynomial function, find all of the zeros and their…

A: We have to find zeros of polynomial

Q: Find the lengths of both circular arcs of the unit circle connecting the point (− 3/2, −1/2) and…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: O Graph the function f(x): ²x+4,-3 -6 -4 -22 7 6- 4- 2- 2 -2

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Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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Q: what

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Q: Shown is the graph of a force function (in newtons) that increases to its maximum value and then…

A: Concept: The area under the curve: Knowing the curve's equation, its bounds, and its enclosing axis…

Q: e polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of -2. It goes…

A: Topic:- polynomial

Q: 60. (Length of an Arc) What is the total length of the curve y = e*sin x from x=0 up to y = n

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: 8) Evaluate the following without the use of a calculator arccsc(-√2)

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Q: Let k>0 be a positive constant. Find where Cis the arc of the parabola is a constant, from the point…

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Q: Use the method of reduction of order to find another solution of y"−4y'+4y=0 if y₁=e²x is a solution…

A: The given equation is;  y''-4y'+4y=0 and y1=e2x

Q: 2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

A: Given:   i) ∫x3x+2x-1x2dx Expand   =∫x4+2x2-xdx Apply linearity     =∫x4dx+∫2x2dx-∫xdx

Q: d If g(x): ªſ^*[e'− In(2t+1)]dt, find g''(x) . dx -2 A B == 4 (2x + 1)² 4 (2x + 1)² None of the…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) = 9,…

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Q: 3 A merry-go-round has a radius of 4 m and is spinning at a rate of 0.5π radians/s. Bill is standing…

A: Formula used: Circumference of circle = 2π×radius of circle  velocity =  angular velocity × radius