indefinite integrals: Show complete and detailed solutions. Express you: answers in simplest form (factored form). x-2+1 dx

Q: Find the principal value of arcsin . 30° 60° no solution

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Q: 2z2 + 7z +4 Let f(z) = 1³ + 2x² + 2z [1] (a) Write the general form of the partial fraction…

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Q: II Three graphs labeled I, II, and III are shown above. They are the graphs of f,f', and f".Which…

A: Observe the each curve using slope and increasing decreasing properties.

Q: VT (2x)[sin (2x²)] cos (x²) your exact-value result. Evaluate dx. Show complete pencil-and-paper…

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Q: Q.3 Find general solution by separating the variables. i. y3 = (y* + 1) cos x dx. ii. y' = 3x²(y² +…

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Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

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Q: Consider the function f defined on the domain -0.5 s x s 0.5 with f(0) = 1, and 0.5 lim h 0 f(x+h)-…

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Q: fing the inverR se function of f informally Verify that fleT0) = x and = x+4 5

A: Let f(x) be a given function. Then it's inverse is denoted by f-1(x) such that f(f-1(x))=f-1(f(x))=x

Q: At a time denoted as t-0a technoliogical innovation is intreduced into a community that has a fixed…

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Q: Solve the given differential equation by separation of variables. dy − (y − 2)2 dx = 0

A: Given

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: To find the parametric equation of a line that passes through (-1, 4, -6) and is parallel to given…

Q: What is the a value of x such that sinx = .? 3 = 24.5° = 53.6° = 41.8° = 38.7°

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3) Vw(17, 6, -3) =…

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Q: Determine the Riemann sum that represents the illustration below. The function is Ax) = /x +1. 4- 3-…

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Q: Simplify arctan + arctan . O 0° 45° 90°

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Q: af Given f(x, y) = In(7x² + 9y²) then

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Q: Block A is sliding across a horizontal and frictionless surface when it collides with block B as…

A: We have to find the initial speed of block A.

Q: Which one is one of the critical points of the function f(x, y) = 2x + 2y + 8x - 4y + 11? Select…

A: Solution is given below:

Q: 4. What is the geometric relationship between the two integrals below? et dx, In x dx Evaluate the…

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Q: Evaluate the indefinite intgral Answer in cimpicst farm (pactored form J40+4t-2 dt.

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) 2, Vw(10, 5, -2)…

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Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: [9] (a) and (b) Set-up and solve the definite integral to find the surface area when the curve is…

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: Solve the system of linear equations 3x-y+2z=-21 4x-2y+z=-31 -x+3y-2=11

A: We have to solve the system of linear equations.

Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) S 3x² -…

A: topic - linear equations in two variables

Q: Write the first three terms of the sequence whose general term is an=n!3n. Provide your answer…

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Q: 4. V21+4:-z dz

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Q: Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations…

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Q: Find an explicit solution of the given initial-value problem. V1- y? dx - V1- x2 dy = 0, y(0) = . y…

A: Solve the following

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: This question is based on finding equation of tangent plane of function having two variables at a…

Q: If f(r)dr = f(x)dr+ | f(z)dr - f(r)dr. 7. what are the bounds of integration for the first integral?…

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Q: 4014H al

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Q: dy

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Q: Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for…

A: To evaluate the given integral.

Q: If x cos t and y sin? t, then d'y/dx at t is If s 10 t+ 80/t, find the acceleration when t 2.

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Q: PROPER

A: We will solve this homogeneous differential equation.

Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: f(x)=x2-8x-9Differentiatef'(x)=2x-8

Q: (b) [ z0- r2 re dr

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Q: Assume that in the absence of immigration and emigration, the growth of a country's population P(t)…

A: In the absence of immigration and emigration the growth rate of the country is given by dP/dt = kP…

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

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Q: 4y² – 25 -dy

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (4,…

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Q: 4) represent the jollowing angles an higono metric cirde a7. + K2n 3. 4. c7 t. Eld

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Q: Find the centroid of the region lying between the graphs of the functions y = 11 sin(x) and y = 11…

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Q: Find sin({ arccos ). (Hint: Use the half-angle formula.) 3/10 V10/10 3v10/10

A: Find the following

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: First simplify the integrand then integrate and simplify.