Solve x' = 3xt²-3t², x (0) = 2.

Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

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Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

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Q: 5x The function f(x)= is one-to-one. x+3 (a) Find its inverse and check your answer. (b) Find the…

A: I have done solution step by step in detail...go through the solution

Q: Convert the equation r cos=-4 sin (29) to Cartesian coordinates. Describe the resulting curves.…

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Q: Evaluate the integral: B A None of the given choices O E (3e) 2+1n3 (3e) 3+ sinh2x (3e) 2+ 21n3 3+…

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Q: Use identities to write the expression as a single function of x or 0. cos (0+ 270°) cos 0 -sin 0…

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Q: Use linear approximation to approximate cubrt(28)

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Q: 67. A cookie has been made in a room with an ambient temperature of 100°F. If it was cooked in an…

A: This question is related to Newton's Law of cooling, we will solve it using given information.

Q: Use the Quotient Rule to find the derivative of the function. f'(x) = f(x) x X-5

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Q: Q5 a) If f(x) = ² (1 - 1²) e¹² dt, on what interval is f increasing? b). Find a function f and a…

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Q: Rewrite the integral using substitution: 3 ₁³ (x² cos(4x³)) dx

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Q: Given the initial condition y(0) = 1, find the particular solution of the equation yy' - 6x = 0

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Q: dx √e²x -9 A. 3 sec¹e* +C S B. 1 sec ¹ (= ² + c = c.₁ /sec²¹ e ² + C C. ex 0-¹ (+ ²) + C et с 3 D.…

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Q: 8. Use the Direct Comparison Test to determine whether the series converges or diverges. a. b. n=1…

A: To use the direct comparison test to check the convergence of the given series. Direct Comparison…

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: 10. Determine whether the following series converges. k 11k4 +1 Σ(-1)+1- k=1

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 52. Use the right triangle shown in the figure. Then, using the given information, solve the…

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Q: 20

A: I have stated the used formulas in the solution

Q: The rate of change in the number of barrels, B, of oil pumped from a field is proportional to…

A: Given the rate of change in the number of barrels, B ia proportional to 2,300,000 - B(t) Here 't' is…

Q: 11. 12. 13. 14. 15. 16. 18. 19. For items 11-25 consider g(x) as defined below. 20. I. lim g(x) does…

A: Solution is given below:

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: I wanted you to answer this question: In Example 3.6.2, why is it that x = 3 is not an inflection…

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Q: (8) Find the volume of the solid obtained by rotating the region bounded by y = 1+ secx, y = 3,…

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Q: Find the zeros of f(x) = 3x^3 + 9x^2 + x + 3

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Q: 2-₁ {2+-+5} 25. Evaluate L-1 (a) et+e-3t U (b) 2e-t+11e-3t (c) 2e- +11te-3t (d) e-t+11te-3t

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Q: Simplify the expression: (1 + cos a)(1- cos(-a)) O sin² a cos a 01 + 2 cosa + sin²a sin a

A: The given expression is 1+cosα1-cos-α

Q: The minimum value of N such that the remainder estimate given in the text guarantees that SN…

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Q: Graph the curve. O r = 6 + sin(40) -6 -4 -4 y 2 2 4 4 X BB÷ 2 4 -6 -4 -2 -4 -2 2 -6 2 4 6 X

A: The given function is r=6+sin4θ To find: We have to find the graph of the given function. We have…

Q: f(x) = x4 – 8x2

A: Topic:- calculus

Q: Problem 3 Fill in the blanks: a) If a function fis integrable on [a,b]. b) If f is on the closed…

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Q: Solve the following equation for x. log, 81 = 4 O 20.25 9 324 0 3

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Q: 18. 19. I. g is continuous at x = 3. II. g has a jump essential discontinuity at x = 3. I. lim g(x)…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (e² - e-t)² L{f(t)}

A: f(t)=(et-e-t)2

Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = (4x³+ln(3x) si…

A: Concept: Integration: Integration is a strategy for combining or joining the parts to get at the…

Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

A: Concept: Integration: Integration is the process of connecting the parts to create the whole. We…

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: We have to find the 46th term of given sequence.

Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A: Our Aim is to find the sum of the first 6 terms of the following sequence givenbelow:-8, 4,…

Q: Problem 1: [(4x + 3)²D² − 12 (4x + 3)Dx+64]y = 16[(4x + 3)² sec² (ln|4x + 3)] - Problem 2: x³y"" −…

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Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = f (2x + 5) sin (x² + 5x) dx o F(u) =…

A: We can find the correct option as below.

Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80

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

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Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

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Q: ܐ [ xdx x2 -5x+6 A. 3nx-3-2nz-2 +c B. 3ng+3+ 2nx-2 +c C._2n+ 3-3m|x-2+c D. 2n|x-3-3n-2 +c

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Q: The bird flu is considered dangerous when the number of people getting sick is growing at a rate…

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Q: (3) What is the Definite Integral of a function f from a to b?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

A: The objective is to find the volume of the solid formed by revolving  the region about the x-axis.