Which of the following is the linear approximation of f(x) = sin x at x = ? OL(x) 1 OL(x) = x OL(x) = x + (1-2)

Q: 1 cm?

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Q: DIFFERENTIAL EQUATION | Eliminate the arbitrary constants. Show complete solution. y= x² + c₁e²x +…

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Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x²-xy √x-√Y lim (x,y) → (3,3)

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Q: Which of the following is NOT true about the exponential function y = a where a > 1? O Its range is…

A: The domain of exponential functions is all real numbers. The range is all real numbers greater than…

Q: Find the partial fraction decomposition of 5 2 x²+x-6

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Q: Given f(x) = 19x - 3| +2 25. f'(²-) = If f(x)=(√3x-2)5 then f'(9) = Given f(x) = sin(3x)² 26. f'() =

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Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

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Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x-2) (x - 1)(x + 2) dx || y = X > 2

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Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: 12. Find f x √(1-x²)³ dx

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Q: 2. Find an equation for the tangent line to the cycloid z = =e+3, y = 1²e-3e + 2 at the point where…

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Q: 4) Set up the partial fraction decomposition of (x− 1)(x+2)(x² +1) Do not solve.

A: Given; (2x3-1)/[(x-1)(x+2)(x2+1)2].

Q: Find the linear approximation to the equation f(x, y) approximate f(6.28, 4.16). f(6.28, 4.16) xy at…

A: Given  fx,y=5xy6 The objective is to find the linear approximation to the equation.

Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

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Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: Evaluate the integral 25 (28-4) ¹3 dz 13 x6 - 4. by making the substitution u = x + C

A: SOLUTION-

Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is Select one: O True O False L {f(t)}…

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Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

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Q: he function y = omain tercepts ymmetry 2x+3 x+2 do the following.

A: we will find the required.

Q: Let C be the curve defined by the following system of √x+6y²-2²=0 3y = z 14:

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Q: 27) Suppose y = f(x) and y = g(x) are continuous functions which intersect at x = 1, x = 4 and x = 7…

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Q: Write a polynomial with a leading coefficient of 1, degree 3, that has zeros at and x = − 5. Write…

A: Given query is to find the polynomial.

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: 4 n=1 What is the expansion of the series 4+1?

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Q: Solve the problem. [1 The columns of 13 = 0 0 O Suppose that T is a linear transformation from R³…

A: NOTE: Refresh your page if you can't see any equations. . here we have . so vector v1, v2, and v3…

Q: 10-9-8-7-6 -5 -43 -2 10 thow 4665 8 7 665 + 4 324 7 -3 -4 -5 -6 -7 -8 -9 10 7 ∞ 114 OI 6

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Q: Find the area under the given curve over the indicated interval. y=x²: [0, 5] The area under the…

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Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

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Q: Find the length of the spiral r=0², 0≤0≤ √21. The length of the spiral is (Simplify your answer.)

A: Topic = Integration

Q: Given the geometric sequence: 28, Find a11 196 13 - 1372 169 = 28. Find an explicit formula for an,…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x7, y =…

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Q: b) Solve by direct integration: er dy dx dy 8 given y-5, when x=0

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Q: Given that ƒ(x) = x² − 8x and g(x) = x + 5, find: a) (fog)( − 1)= b) (gof)( − 1)=

A: Given query is to find indicated composite function.

Q: t+1' The park is concerned about the number of invasive insects found along their hiking trails. The…

A: Please see the below answer.

Q: A glass sphere given by the equation (-1)+(y-2)²+(-3)² = 36 is floating above the plane 2x+y-2x =…

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Q: hether the matrix is invertib

A: We have to consider the given matrix is invertible or not

Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

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Q: Current Attempt in Progress X Your answer is incorrect. Consider each function to be in the form y =…

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: Question 1: Find an explicit formula for the geometric sequence with a₁ = 10 and a4 = 80. a_n=…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0