Use logarithmic differentiation to find dy/dx. y=x√x² +16 x>0 Submit Answer

Q: Find the area under the curve y = lines x = 1 and x = 5. 3x² + 4x + 1 bounded by the x-axis and the

A: Area under the curve y=3x2+4x+1 bounded by x-axis and x=1 to x=5.

Q: Find the unit tangent vector T(t). T(5) = +20 k P(25, 5, 20/3) eBook r(t) = t²i + tj + Find a set of…

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Q: Using Laplace transform, solve for x(t) for the following system of linear ordinary differential…

A: Let's solve given diffrential equation by using laplace transform.

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Q: The graph of the derivative f' of a function is shown. پیرا y = f(x) (a) on what intervals is f…

A: Given question:- The graph of the derivative f' of a function f is shown. Topic :-Application of…

Q: 2. 2x² + 4x-3 ,2 X dx

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

Q: 2). Compute the general term an of the series with the given partial sum Sn. Sn = 2 − n + 2 2n, n ≥…

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Q: H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a…

A: Let's find speed at t=0.8 sec by Runge kutaa 4th order method.

Q: Set up a double integral that gives the area of the surface of the graph of fover the region R. f(x,…

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6)

A: step 2 complete solution

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

A: To find: L{f(t)} by the use of Laplace transform. Given information: The function is  ft=0…

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these…

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Q: 24. Solve - A. B. 1 csc²0 de 25-16cot²0 4 cote 25 1 5 ·sin-¹ sin cote 25 +C +C C. D. 4 ---sin-cote+c…

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Q: -18 and line B is with equation A. Two lines are parallel. Line A is with equation 6y= 2x 3y-6-x.…

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Q: The price per share of a stock can be approximated by the function S(t)=t(29-3t) + 28, where t is…

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Q: Hello! Can I get help answering question #2. Please show all work as well. Thanks.

A: Topic:- definite integration

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: A particle moves along a line so that its velocity at time t is v(t) = t²-t - 6 (measured in meters…

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Q: A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there…

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Q: We the first three terms of the binomial series to approximate f(x) = 1 at x = 1/2. Then find f(¹/₂)…

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Q: The radius of a circle is increasing at a rate of 8 centimeters per minute. Find the rate of change…

A: We can find the required answer as below.

Q: Compute the values of dy and Ay for the function ye3x + 3x given x = 0 and Ax dx = 0.02. Round your…

A: Given y=e3x+3x x=0 and ∆x=dx=0.02

Q: Use the given information to complete the solution of the partially solved Venn diagram. n(A) = 17,…

A: Given n(A)=17, n(B)=12, n(C)=32, n(S)=41. Let x is inside of A and out side of B and C. Let y is…

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Compute for the arcsinx dx

A: NOTE: As per our guidelines, I have solved one problem. If you want the answers of rest, kindly post…

Q: Find a vector-valued function whose graph is the plane x+y+z= 12, O r(u, v)=-ui-vj+(12-u-v)k O r(u,…

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Q: 11. Obtain the integral of (5x-1)³ dx from x = 0 to x=1 25 A. 51 5 C. 51 4 B. D. 4 51 20

A: Topic = Integration Correct option = B

Q: 1. √(1-x dx X

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

Q: 1. The Laplace transform of a function f(t) is A) L{f(t)} = fest f(t)dt B) L{f(t)} = fest f(t)dt 2.…

A: 1. Ans:- option(B)

Q: The logistic equation models the growth of a population. 1350 1 +26e-0.95t P(t) = Exercise (a) Use…

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Q: 2. DETAILS ZILLDIFFEQMODAP11 7.R.002. Use the definition of the Laplace transform to find L{f(t)).…

A: To find the Laplace Transform

Q: How long will it take for the population to reach 65286528 fish, according to this model?

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Q: Question Given f(x)=2₁, find f' (3) using the definition of a derivative. Provide your answer below:…

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are and s-a y(t) = (sa)² + b² b…

A: The given equation is; y'+y=e-5tcos4t, y(0)=0.

Q: d. projab

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Q: 8. The following rational expressions are proper fractions except: x²+2x³-3x²+x-5 3x² - 4 C.…

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Q: This figure shows the portion of the sphere whose surface area is computed in the example. Video…

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Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0 ≤ 0 ≤ 2, and 0 ≤ y ≤ n.) (a) (0, 3,…

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

Q: Evaluate the following indefinite integral. S₁4 14x dx 14x dx = 14x

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Q: e volume of the solid generated by revolving the shaded region about the x-axis. 3x + 4y = 24 10 The…

A: Topic:- application of integration

Q: Evaluate the following iterated in -1 1 075 (3x+y)dy dx

A: Topic:- application of integration

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: The objective of the question is determine the particular solution of the given differential…

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - (+ + -) (²) lim

A: We can evaluate the sum of n terms by using the following results.

Q: H.w3: Used Newton-Raphson method to find solution accurate to with in 10-5 for the following…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled…

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Q: *A=P(1+²)". Use the model A = Pe' or A= P1+ for 7 years. $8000 is invested at 4.5% interest…

A: In this question we have to find how much it will take to double the amount of invested.

Q: 17. f(x) x²(2x+3) (x² +1)*

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Q: The production costs per week for producing x widgets are given by: C(x) = 500+ 350x -0.09x², 0≤x≤…

A: The production cost per week for producing x widgets is given by: Cx=500+350x-0.09x20≤x≤1000To…

Q: -. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z 1+x = In…

A: To find the maclaurin series of the function f(x).

Q: Evaluate : T SS y sin x dydx

A: