dy Find Do not simplify. dx (a) cos (x + √y) + tanh ¹(sin²x) = ln 3 + y sech - x²

Q: 7. Suppose that an experiment leads to events A, B, and C with the following probabilities: P(A) =…

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Q: If f(x) = 2x(sin x + cos x), find f'(x) = f'(1) = (do not distribute) (round to 3 decimal

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Q: Question R is the region bounded above by the graph of f(x) = 6e-² and below by the x-axis over the…

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and…

Q: Question 4 Question: The number of Americans currently enrolled at college or university is…

A: Explained below

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Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 OA.…

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Q: Which of the following does not have the same graph as r = 2 Or -2+3 cos 0 Or -2- 3 cos 0 O r = -2+3…

A: We have to choose the correct option from the given options according to the given information

Q: Question R is the region bounded above by the graph of f(x) = 6e-² and below by the x-axis over the…

A: Graph:-

Q: Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 O c. 1/2 OD. 3/4 OE. None

A: Let's solve given diffential and find constant C.

Q: 2. Given that f(x) dx = 6,ƒ(x) dx = 3 and ¹₁ f(x) dx = -1, 1/³ + f(x) 2 find + 6 dr.

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Q: What is the general solution of the given equation, cos(x + y) + 2x + (cos(x + y) + 4y)y' = 0 OA…

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Q: A particle moves along a horizontal line so that its position s at time t> 0 is given by: s (t) =…

A: Given query is to find the velocity of the object.

Q: Give the general solution of the given ODE. Show full solution. y′(2x−3) = 2xy+48x−3y−72

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Q: Operations on Functions Using Tables of Values Use the graphs for f(x) and g(x) to evaluate the…

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Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

A: Note: Since the student has posted many sub-parts of the question and does not mention any specific…

Q: Solve y'' + 4y' + 4y = 0, y(0) = 3, y'(0) = y(t) = 9

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Q: Solve y'' - 4y' + 29y = 0, y(0) = 3, y'(0) = y(t) = 9

A: The given differential equation is; y''-4y'+29y=0, y(0)=3, y'(0)=-9.

Q: Given the scatter plot shown, determine if the correlation is positive, negative, or if there is no…

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Q: Exercises Exercise 1 Evaluate lim 2 x² +1 x-1 3.x5 +4 Exercise 2 Limits if it exists. If it does not…

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Q: K The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

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Q: Find the general solution of the equation y'' — 2y' + 3y = 0 Use lower case C₁ and C₂ for the…

A: I am attaching image so that you understand each and every step.

Q: Calculate the derivative d S√4 + x² dx dt et ←

A: Given :ddt∫ett44+x2dx

Q: 6. Find the linearization L(x, y) of f(x, y) = et sin y at the point (0, π/4), and use it to…

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Q: 8. How many different mixes of candy are possible if a mix consists of 10 pieces of candy and 4…

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Q: Determine the type of DE (select all that applies): 2xy dx + (y² + x²) dy=0 Linear Exact Separable…

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Q: Evaluate the integral. (Use C for the constant of integration.) √(x² + 8x) cos(x) dx (x²sin(x) + 8x…

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method…

Q: The function f(x)= x³ + x-1 has a root between 0.6 and 0.8. It is: Enter your answer with at least…

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Q: Suppose that f(x, y) = r²- xy + y² - 2x + 2y with D= {(x, y) | 0≤x≤2,0 ≤ y ≤ 2}. 1. The critical…

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Q: Sketch the situation if necessary and use related rates to solve. Two buses are driving along…

A: I am attaching image so that you understand each and every step.

Q: 1.) xy3dx + (y+1)e^-xdy = 0 2.) dx/dy = x-2ycotx

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Q: 3. Rewrite 3 log2 (a) + 4 log2 (b)-5 log₂ (c) as an expression of the form log2 (something).

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Q: Determine whether or not the given functions are inverses of each other. Show your work leading to…

A: To determine whether the given functions are inverses of each other or not.

Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

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Q: 22 where x = Finding дх др " 9ret, y = ду дz " др' др " - 2te' & z = ert. дх ду Ət' at & дz at and…

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Q: Given that; f(2)=2, f'(2)=3 g(2)-6, g'(2)=4 Calculate the following (fg) 2 = (f/g)'(2)= (g/f) (2)=

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Q: Determine the sum of the convergent series below. Σen211-n n=1 Leave your answer as a fraction in…

A: Given: ∑n=1∞ e3n211-n

Q: Give the particular solution of the given intial value problem. Show full solution. xy′+2y =…

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Q: If g(x) = cos(x) then g'(x) = g'(4) = (round to 3 decimal places)

A: If gx=cosx, then to find g'x and g'4.

Q: on 5 Given original function AND x-1 x+2 3 (x+2)² f(x) = where f'=- Ari nolbar, press ALT+F10 (PC)…

A: We have given  f(x)=x-1x+2 and f'(x)= 1(x+2)2 Find interval of increasing and decreasing.

Q: Solve the equation using the quadratic formula x squared - 4x + 13 =

A: Given query is to find the solution of the quadratic equation.

Q: Find the indicated derivative. 1 - 2x² x4 - 2x² + 6 dy dx || dy dx for y =

A: I am attaching image so that you understand each and every step.

Q: The temperature at a point (x, y, z) is given by T(x, y, z)= 1100e-2²-2²-2² where T' is measured in…

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

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Q: Let f(x) be a function defined on [0,1], such that f(0) = 0 and f(1) = 1 . Which of the following…

A: Option (1) and (2) are correct

Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. Ay…

A: Topic - Equation of tangent line to curve We are given, y=3+cot x -csc xand we know thatslope of…

Q: Let u(t) = 2t³1+ (t²-1)J-8k. Compute the derivative of the following function. (+¹2 +4t) u(t) Select…

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Q: Calculate the derivative: (6t4 - 7t) dt =

A: To find the Derivative.

Q: Find the equation of the tangent line to the function f(x)=−3x3−3x2−x+3 at the point (−1,4). Give…

A: See this solution in below.

Q: Consider the function f(x) = x² - 6x +8 x-1 a. Find the first derivative. f'(x) = b. List any…

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Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

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