Knowing the Integrating Factor to the above differential equation, vdx - (2v − 1) x dv = 2v²e2v = written as dv, the General solution can be

Q: Find (fog)(x). 1 1+x Find the domain of (fog)(x). (Enter your answer using interval notation.)…

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Q: Consider the following functions. f(x)=x*19(x) == Find (fog)(x). 1 1+x Find the domain of (fog)(x).…

A: To find the domains of given composite function.

Q: Consider the function f(x) = 2x³ + 18x² - 240x + 9, - 10 ≤ x ≤ 5. This function has an absolute…

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Q: 24

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Q: Simplify 1 + csc(t) 1 + sin(t) to a single trig function.

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Q: Find the values of a where the tangent line to the graph of f(x) y = - 8x + 3. Give exact answers…

A: The function is given by fx = 1x The equation of the line is y = -8x+3 To evaluate: The values of x…

Q: Problem 1. True or False. Explain your response carefully. 4x² To find the partial fraction…

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Q: 7.) Differentiate. Simplify, if possible. y = 7%-log12 x

A: To find  the derivative

Q: If f(x) = 23x + 27, find f'(5).

A: First we have to find derivative of f(x) then we will find f'(5) as shown below

Q: Use L'Hospital's rule to determine the following limit. Use exact values. e7x1 lim x →0 sin(9x) =

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Q: Find the slope of the tangent line to the curve x² - 4xy – 2y³ = 14 at the point (2, -1).

A: Given data: Equation of the tangent line: x2-4xy-2y3=14

Q: O POLYNOMIAL AND RATIONAL FUNCTIONS Finding a polynomial of a given degree with given zeros: Real...…

A: Given query is to find the polynomial in factored form.

Q: Express the function F in the form fog. (Enter your answers as a comma-separated list. Use…

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Q: Find the equation of the tangent line of f(x) = sin x tan x at x = pi/4. Write answer in exact form.

A: we need to find out the equation of the tangent line

Q: Solve 12 sin²(a) - 11 cos(x) - 14 = 0 for all solutions 0 < x < 2 Give your answers accurate to 2…

A: Put cos2x = 1-sin2x, then we will get quadratic equation in terms of cos(x). Solve the obtained…

Q: Solve sec(4x) - 4 = 0 for the four smallest positive solutions x = Give your answers accurate to at…

A: sec4x-4=0

Q: Find the general solution (and particular solution, whenever possible) for the given differential…

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Q: With f(r) and g(r) defined below, state both a formula for (fg)(x) and the domain of (fg)(x).…

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Q: 4. y = 5 tn 5: = 32 + 25 = yܪ ܪ

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Amanda makes $350 each week from her part-time job. She works from 1pm - until 6pm Monday through…

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Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: We have given function  fx=x2+3x f2x-3=2x-32+32x-3 f2x-3=4x2-12x+9+6x-9 f2x-3=4x2-6x  ........(i)…

Q: By partial fraction decomposition 25s = A(s² + 11) + (Bs + C)(s - 6) 2 - 5s = As² + 11A + Bs² - 6Bs…

A: Given Equation:- 2-5s=As2+11+Bs+Cs-6

Q: Use the separation of variables to find the general solution to dy/dt = (3t + 2)*y^(4) Be sure to…

A: We have to find the general solution to the differential equationdydt=(3t+2).y4

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Q: If f(x) = sin(x¹), find f'(x) Find f'(4) Question Help: Video Submit Question Jump to Answer

A: Solve for the derivative

Q: You are given the graph of a function f. y tal 1 2 3 4 X Determine the intervals where the graph of…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: An ice cube was taken out of the freezer with a temperature of -18°C and place on a glass. The…

A: Given 1. Initial temperature of the ice cube is -18 °C. 2. Temperature of the room is 32 °C. 3.…

Q: The differential equation (2y³ – x³) dx + 3xy²dy = 0 can be solved using 3 methods. What are these…

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Q: I. Determine whether or not the following relations are functions. If the given relation is a…

A: Given relation is not a function, as it is equation of hyperbola.

Q: Evaluate the double integral over the rectangular region R. [x√4-x²dA; 1 x√√4x²dA; R = {(x, y): 0 ≤…

A: Given:-R=x,y:0≤x≤2,4≤y≤7 ∬Rx4-x2dA

Q: f'(a) = lim h→0 h) - f(a)) ´ f(a+h) − f(a) Be sure you can do that as you will be tested on that…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

A: We can solve the given problem by using the second derivative test.

Q: Consider the following function. - g(x) = 4x4 – 8x³ +7

A: Here we have to find the points of inflection

Q: {(u-1 + ₂u^)u} (3) 1-n)}

A: The given sequence f) nn2+1-n We have to find the sequence is convergent and its limit.

Q: Water is draining out of a JoJo tank so that the height of the water y (in meters) at time t (in…

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Q: -6 Ay 15- -15-

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Q: 18.) Find the integral or antiderivative. [(x²-x + 2) dx

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Q: a. what is the solution set of f(x) = 0? ? B. what is the solution set of f(x) o?

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Q: ior - Calcwor... OGRAPHS AND FUNCTIONS valuating a piecewise-defined func V that the function h is…

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Q: Show complete solution with figure. 1. At what points does the curve y=4x–x^2 slope of 4. a. (0,0)…

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Q: Find all solutions of the equation 2 cos 3x = 1 in the interval [0, π). The answer is x1 = , x2 =…

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Q: (b) {ln(12n+2) - In(9 +4n)}

A: The given sequence is; [ln(12n+2)-ln(9+4n)].

Q: Find a parametric equation of the line tangent to the graph r(t) = t²i + (2 - In t)j at the point t…

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Q: Use the table to find the instantaneous velocity of y at the specified value of x. 2) x = 1₁ y 0 0…

A: Ans=6m/s  For instantaneous velocity wr have to take smallest interval of time ......For detail...go…

Q: Flight of a Rocket The altitude (in feet) of a rocket t s into flight is giver s = f(t) −t³ + 48t² +…

A: Given query is to find the inflection point and maximum velocity.

Q: [4+ n-3n² 4n² + 1 {ln(12n+2) — ln(9 +4n)} (a) { (b) (c) { { (2n-1)!} (d) {cos(NT) + (f) {n(√n²+1-n)}…

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Q: Recall the definition of derivatives and find the limit ∙e Use your scientific calculator to find a…

A: NOTE: Refresh your page if you can't see any equations. . substitute

Q: Find the solution of the initial value problem +6y=3u(t-5), y(0) = 0, '(0) = 0, 0. y"-5y where u(t)…

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Q: 1.) y'= -3x 4c - 2 -3x €²6x + 3€ ³x + 2 ; y(0) = 1

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