5. A certain computer that is purchased today depreciates in value according to the function (t) = 900e, where Vis measured in dollars and t is time in years. Round off your answers to two decimal places.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: f(x,y) = In 19x²-x²y²+19y² x² + y²

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Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x? + +7)3/2 dx

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Q: Sketch a continuous curve for which each of the following statements is true. • f(-1)=0, f(0) = 2,…

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Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x² + 7)3/2 dx

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Q: Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from…

A: Given the plane is:x/7+y/4+z/10=1

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A: When drawing the free-body diagram of a joint, we can apply equilibrium to determine the forces…

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Q: Find lim (x,y) →(3,0) 3x -y #9 √√3x-y-3 3x-y-9 by rewriting the fraction first.

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 4 x² + y²-1

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Q: Find T, N, and K for the plane curve r(t)=(8cost+ 8t sin t)i + (8sin t-8t cos t)j, t> 0.

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Q: Each of the following limits represents a derivative f'(a). (3 + h)³ - 27 h (a) lim h→0

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Q: Given the function f(x,y) = 4y-6x, answer the following questions. a. Find the function's domain. b.…

A: Given,f(x, y) = 4y - 6x(d)We have to tell the boundary of the function domain

Q: lim √3x²+6 5- 2x

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Q: Determine whether the alternating series converges. k + 1 9k + 1 Σ(-1)²+1, k=1

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Q: finite integral. (Use C for the constant of integration.) sir sin4 40 de

A: We have to evaluate the indefinite integral

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 1 5 9 13 17…

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Q: Express the area of the region bounded by the given lines as an iterated double integral. The lines…

A: To express the area of the region bounded by the given lines as an iterated double integral.The…

Q: find area enclosed by y=4/x, y=16x,y=x/16, x>0

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Q: Assume that the recursively defined sequence converges and find its limit. a₁ = 1, an+1 = 6 1+ an…

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Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

Q: If polynomial 4x^3 -12x^2 + kx + 4 = 0 has root at x=2. Calculate exact values of other two roots

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Q: 1) Find: lim x→ 4 x² - 16

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Q: derive the formulas for the derivatives of the inverse trigonometric functions

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Q: Use cylindrical coordinates to evaluate JJJ z dV, where E is the solid that E lies between the…

A: Solving the problem

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A: Given is the function and we have to table the values, plot it anddetermine domain and codomain.

Q: n n=21n3 + 1 +1 39. Σ

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. ( − 1)k+1 8k…

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Q: ex If E(x) = x²e⁹ + In(π) O ee-1 + eº(ln(π) +e™) e²−1 + eº(ln(π) + eª) + ee−¹ e²+¹ + e²(1/ ln(π) +…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an = 69 12…

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 4. Vertical cross sections…

A: We need to find area of rectangle.

Q: Simplify the expression. 4x* (9x³-5) O 13x² - 20x¹ 36x² - 20x* O 36x¹2 -5 O 13x³ - x

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Q: - What value of c will make the following function continuous at x = 0? f(x) = x³ tan³ (3x) C x = 0…

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Q: How would you express the equation of a sphere with a center at the origin (0, 0, 0) and a radius of…

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Q: Find the measure of in degrees. If necessary, round to four decimal places. 17 12

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Q: A region bounded by fly) = y, f(y) = 6 - y, and x = 1 is shown below. Find the volume of the solid…

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Q: |f''(x)| expresses the curvature x(x) of a [1 + (f'(x)) ²2] ³/² curvature function of the following…

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Q: Find the slope(s) of the tangent line(s) to f(x)=x³ that contains the point (2,0)

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Q: Solve the following. Identify any separate piece of paper to be tur x-(3)/(x+1)=(3x)/(x+1).

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Q: doesn't exist, state undefined. VA

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Q: 29 J2 1 √√x-2 dx.

A: Whole solution is given below.

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Q: Let f(x, y) = xex²-y and P = (2,4). (a) Calculate ||Vfp||. (b) Find the rate of change of f in the…

A: We need to find rate of change.