In x 2. Use a local linear approximation of f(x) = 1+x² to estimate In (0.9) 1.81

Q: I-1 I 1² +51 +8 dz

A: Given, ∫x-1x2+5x+8dx

Q: २ -2 el dy ely +2 e. 2

A: To integrate.

Q: Suppose that P = 4.2x² + 1.5y² - 0.1x3 -0.01y3 tons is the production function for a product with x…

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Q: Question 4 Given a second order differential equation d²x dx 2 + 10x = e²t dt² dt dx where t = 0, x…

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Q: Perform the integration. 3 (13 (|3* − 1| + |3* − 3|) dx 0

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Q: Evaluate the improper integral or state that it diverges. Ĵ 5dx Select the correct choice below and,…

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Q: Question Eight y s 8 7 5 4 14 4 3 -2 -1 The diagram shows the shaded region bounded by the curves y…

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Q: ∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: topic- quadratic equations and derivatives

Q: P(x, y) = 10x + 6.1y-0.007x² -0.035² where x is the number of pounds of Kisses and y is the number…

A: ∂P/∂y is the derivative of P with respect to y taking x as a constant..

Q: A.The table indicates that a(1)= 2m/s. What does that tell you about the velocity B. The table…

A: Given

Q: Volume of Solid of Revolution Submit a pdf file of your handwritten solutions to the problem.…

A:

Q: Perform the integration. x-1 S= dx x² + 5x + 8

A: ∫1x2+a2 dx =1atan-1xa+C

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Explained below

Q: 1-coth² (log₂x) dx x cosh(log₂x) 1. 11/20

A: We have to find the integral.

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 50°, a= 23, b = 25. If no…

A:

Q: a. A cylindrical container that is open at the top is to be made from two kinds of material. The…

A: note : as per our company guidelines , we support one question in one request (because these two…

Q: III. Let f(x) = 2 sin x 1. Use the local linear approximation of f at x = 0 to approximate e2…

A: Given problem:-

Q: II. Find the value(s) of x (or the interval of convergence) 2. Σn=0 for each of the following power…

A: The power series is  ∑n=0∞ (-1)n+1(x-5)nn·5n

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: The cost (in dollars) of manufacturing one item is given by C(x, y) = 10 + 9x + 7y where x is the…

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Q: two iterat x' = -2x+t, using successive approximation. x(0) = 1.

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Q: The joint cost (in dollars) for two products is given by C(x, y) = 24 + x² + 3y + 2xy where x…

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Q: 1. Why is it important to use the six trigonometric ratios in getting a missing angle value?

A: The six trigonometric ratios are sine, cosine, tangent, cotangent, secant, and cosecant. Basically,…

Q: Write the standard equation of a hyperbola whose center is at (-3,-5), one 14√11 of its foci is at…

A: Given

Q: 1. Use Comparison Test to determine the converges or diverges of the series Σ: 8 n=1 (n+1)√n

A: By using Comparison Test to determine the convergence or divergence of the series ∑n=1∞ 1n+1n.

Q: Given the function f(x) √x f(x) = COS 2 1 + √r dr Determine the instantaneous rate of change at x =…

A: Using Leibniz rule of derivative

Q: VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x…

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Q: Suppose that a movie theater has a screen that is 29 feet tall. When you sit down, the bottom of the…

A: Given: θ=Viewing angleθx=tan-137x-tan-18x…

Q: What is the the x-axis and the semicircle y = (4 - x^2)^1/2? 00 O 1 02 04 ONA x-coordinate of the…

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Q: I. Evaluate the following limits. sinh r2 → r2 1. lim z→0 sinhr 1

A: We will apply DL hospital rule more than once to solve this question.

Q: x² + x 1. lim x++∞ e²x + Inx 2. lim (sech 2x) esch x² +0+x

A:

Q: What is the center of gravity of the solid formed when the plane region bounded by 2x+y-2= 0, y = 0…

A: Center of gravity is given.

Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

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Q: 5. Simplify: y23 x7 O x7 y ¹5 15 x7 y15 O x7 y 2³ (x5)-2 x ¹ y ² 3 xy-3 (y-6) ³

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Q: What is the y-coordinate of the centroid of the plane region bounded by the x-axis and the…

A: Given

Q: 9. A child is flying a kite with a 45-ft string at an angle of elevation of 50°. Which of the…

A: Let's find altitude of the kite in feet.

Q: 4. (x³ − 2x² + 1)dx [³ (x² - 2x + 5)²

A: The integral to be evaluated is ∫x3-2x2+1dxx2-2x+52. The first step will be to do a partial fraction…

Q: 3. Find f'(x) if f(x)= 3 2x + sin r

A:

Q: Calculus Use the Table of Integrals to evaluate the integral. 1₁ 21²6 2t²e-t dt

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Partial Sums An arithmetic sequence has a first term of -1 and a common difference of -17. If S₁,…

A: We have to find the sum

Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2t sin(3t) - 3te5t…

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Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

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Q: Suppose that the number of crates of an agricultural product is given by 11xy-0.0002x² - 5y Z= 0.03x…

A: Suppose that the number of crates of an agricultural product is given by z=11xy-0.0002x2-5y0.03x+4y…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: of convergence of too0 n 3"x" na n Find the interval the power series

A: Given problem:-

Q: Evaluate f(x³ - x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

A: This question is related to profit and cost functions, we will solve it using given information.

Q: Determine the values of r for which the differential equation y" +9y' + 20y = 0 has solutions of the…

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