Find a general solution of the differential equation 2 dy dx You may leave the solution in implicit form. = y(1 – x).

Q: Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have…

A: The given function isTo find,f(2.1, 0.8)

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

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Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O-4 and 2…

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Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: Use partial fraction decomposition to find the following integral -da 24-1

A: I=∫x2x4−1dx

Q: Solve the second order. 1. eq Y Ý + Y

A: The given differential equation is

Q: 5 -4 -3 N 5 4 3 2 -1 -2 -3 -4 1 2 3 4 5 -5+ In the above graph of y = f( x ), find the slope of the…

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Q: Solve 12 4x+1 <3

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

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Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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Q: Let h(x) = 6x² +1+17x Determine the critical values of h. If multiple such values exist, enter the…

A: Given, .For find critical valuer put h'(x)=0.

Q: = O Trigonometric Identities and Equations Proving an identity using fundamental trigonometric…

A: 1+tan2x

Q: (b) Use the Fundamental x² :) = ( 4 – t) 1 F(x) = S(4 Chly appr Theorem of Calculus to calculate…

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Q: differentiate. do not simplify f(y) = (3-y^3)^3/4

A: given function

Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

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Q: Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show…

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Q: What is the minimum degree of the polynomial function whose graph approximates each given graph?…

A: Consider the graph

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x2 +…

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Q: Find the area of the region enclosed by y=4.75x and x = 9 - y². 2 on 5 6 7 00 a Use horizontal…

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Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. √20 maximum value…

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Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

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Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

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Q: Suppose that lim f(x) = 6 x 3 and lim g(x) = 8 x-3 Enter the exact value of lim (fg)(x) 2-3

A: Suppose that .To find the exact value of .

Q: Use spherical coordinates. Evaluate JJJ y²z² dv, where E lies above the cone 4 = 1/3 and below the…

A: G

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

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Q: Find f. f(t) f'(t) = t³ + -/-/7₁ t5 t> 0, f(1) = 4

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Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

A: The following table shows the daily receipts in millions of dollars of the move "The Hunger Games"…

Q: Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and x +…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = t -√√t,…

A: f(t)=t−t3,[−1,4]

Q: Suppose that 4x²+ 10 x+ 10 < g(x) < 4x²-3x+10 for all 0. Compute the exact value of lim g(x) x-0

A: finding the limit

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Determine the function f satisfying the given conditions. f ''' (x) = 12 f '' (0) = 1 f ' (0) = 2 f…

A: Given that Let

Q: Evaluate the integral. +C 2x + 9 x² + 6x +34 17 -da

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Q: Find an equation of the tangent line to the curve at each given point. x=2-3 cos 6, y = 3 + 2 sin 8…

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Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

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Q: Find the derivative of the function at Po in the direction of A f(x,y.z)= - 3e cos (yz). Po(0,0,0).…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. (b) Evaluate…

A: Given curve:Unit tangent vector is given by,Therefore,

Q: ²-3x. If there is more than one, separate with a comma.

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Q: The equation has an unbounded solution. y′′ + 4y = sin x true or

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. 7 Insee( arctan…

A: Consider the integral

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: Sketch the region of integration and reverse the order 2 *y+2 1²₁ 1²² f(x, y) f(x, y) dxdy. Your…

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Q: Consider the equation below. f(x) = 4x³ + 9x² - 54x + 1 (a) Find the intervals on which f is…

A: In this question, we will find the interval of increasing and decreasing.

Q: Let f(x) = 3x + 3 and g(x) = −3x - 7. Compute the following. (a) (fog)(x) (b) (fog)(8) (c) (gof)(x)…

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Q: Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the…

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x -…

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