Find f'(x). f(x)= 9x 23+ In x f'(x)= |

Q: Solve by method of sines and cosines f3e3x sen² (e3x) dx

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

Q: Solve dy = ex-y+x²ey dx

A: In this question, we need to solve this problem.

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of the question is to solve the given differential equation for the current I(t) in an…

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: x = -1, 0, 1y = -1Explanation:Step 1: Write the numerator and denominator of the rational function…

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: Note:-Since you asked multilple subparts questions, according to our policy we can solve only first…

Q: Consider the logarithmic function: = g(x) 3 log2(1-x) - 6 a) State the range of this function in…

A: a) (−∞,−6)b)  x = 1c) (−∞,1)Explanation:a)To find the range of the function (g(x)=3log2​(1−x)−6),…

Q: Let f(x)=xex. (Round all answers to four decimal places, if necessary.) (a) Find the interval(s)…

A: The given function is As we knowThe function concaves up when The function concaves down when The…

Q: dy Use implicit differentiation to find without first solving for y. dx -16x³ + 4x16y+y₁ = 77

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Q: 1. Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

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Q: See the function in the image uploaded. Answer a) a) To use a limit and find its horizontal…

A: The objective of the question is to find the horizontal asymptote of the given function y = (2x^2 +…

Q: Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12)…

A: Let a function then the slope of function is given as follows where m is the slope of the tangent…

Q: The equation of the plane that passes through the point A(1, 0, 2) and perpendicular to the vector…

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Q: Suppose that you are estimating √8 using the fourth Taylor polynomial for √x at x=7. Use Taylor's…

A: The objective of this question is to estimate the square root of 8 using the fourth Taylor…

Q: D At least one of the answers above is NOT correct. 0 Calculate the Taylor polynomials T2(x) and…

A: The objective of the question is to calculate the Taylor polynomials T2(x) and T3(x) centered at x =…

Q: Please don't provide handwritten solution ....

A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: 4) A company wishes to manufacture a box with volume 36 ft, has an open top, and is twice as long as…

A: Question No. (4): A company wishes to manufacture  a box with volume 36 ft3, has an open top, and is…

Q: For the function f(x) = 4+ 12x² − x³, find the local extrema. Then, classify the local extrema using…

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Q: Notice this is the graph of the derivative of g not the graph of g itself. Answer the following…

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Q: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 32+ y² = 5. maximum value =…

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Q: Find the (linear) equation of the tangent plane to the surface z = 4y² - 5x² + x at the point…

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Q: Evaluate the integral.

A: 1. 34​π​2. 72π2​​Explanation:1. Given:∫3​1​3​​1+x28​dxFirst we need to take out the constant, we…

Q: A. Find the equations of the intersection line between the planes 3x+y-z = 2 and x-y+2z = 3

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Q: Consider the following cubic polynomial function: p(x): = 2x32x29x - 5 d) Using the Rational Zero…

A: d.)  Integer rational root: -1 ; In the form of     a±cb​​;    a = 1; b = 14; c =2e.) 3f.)  (1+i5)…

Q: Exercise: Solve the equation d³y dy dx3 +3d²y +3d+ y = 0 dx2 dx

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Q: Can you give me an example question or problem that meets the following criteria: 1. How to…

A: The objective of this question is to understand the process of determining the parametric equation…

Q: The diagram below gives part of the graph of function f.. For a0 and |x|<12 Find a and b. Write…

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: The required answer is 24Explanation:Step 1: Step 2: Step 3: Step 4:

Q: find the length of the curve  y = 2/3(x^2 +1)^(3/2) from x=3 to x=6

A: The length or arc length of the given curve is 129 units.Explanation:

Q: A direction vector of the line passing through the points A (3,-1,-2) and B(-1,2,1) is <-4, 3,3). •…

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Q: Problem 8 Solving the differential equation with a variable term and a variable coefficient dy/dt +…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve ม x+6 9y 7 at the…

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Q: Find the linear approximation to the equation f(x,y) = 2√ xy at the point (2,8,4), and use it to…

A: Therefore, the linear approximation to f(2.18,8.29)≈4.2525Explanation:Solution:-

Q: Hello I am working on applications of inetgration, specifcally, surface area problems. I am…

A: Given integral-To find:Evaluate the integral

Q: Exercise: Solve the equation d³y dx3 +3d²y dx² dx +30 + y = 0

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Q: A drone takes 50.3 seconds to travel 400 metres. Calculate the average speed of the drone. Give your…

A: A drone takes 50.3 seconds to travel 400 meters. To calculate the average speed of the drone.

Q: Calculate the mean, median, and mode from the following data set: 1,2,3,4,5

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: 5. Find the indicated partial derivative(s). (a) f(x, y) = x4y² - x³y; faxx, fxyx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. (4.4.1 #15) Find the general solution. y" - 3y + 2y = e³ (1 + x)

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Q: For which of the points on the graph of the function f(x) shown below is f(x)0? 1. C 2. D 3.…

A: For Point Athe Y axis for point a is positive therefore,f(x) &gt; 0The slope of the tangent line at…

Q: Let f'(x)=2x²+3x²-12x+4. Determine the concavity of f(x) on the interval 1 <x<2.

A: We need to determine concavitey of f(x).

Q: Find the angle of intersection, in radians on the domain 0 <t≤, to two decimal places.

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Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Find all the values of x such that the given series would converge. n=1 (x-6)" 6n The series is…

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Q: Use direct comparison test or limit comparison test 00 n = 1 1 + cosn n 2

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Q: In the mega millions lottery game, a player picks 5 numbers 1-75 and a mega number 1-15. Each ticket…

A: The objective of this question is to calculate the total cost of playing all possible combinations…

Q: On what interval(s) is the function g(x) = e notation.) (0.7) -8x7 both decreasing and concave down?…

A: We need to find an interval where the function is decreasing and concave down.

Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

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Q: Evaluate 4x cos(y²) dy dr. 0

A: The value of integral is sin(16).Explanation:Approach to solving the question:Given question is a…