Use the chain rule to find dy/dx for th following (a) y= (3x^2 - 13)^3

Q: Use logarithmic differentiation to find dy/dx. x² – 4 x2 + 4 - y = x > 2 dy dx II

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Q: State the domain of each piecewise function in question 3, and comment on the continuity of the…

A: Given query is to find the equation of the function.

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: Identify and sketch the graph of the following equations in R'. (a) x² + 2y2 + 22 – 8x + 12y – 2z +…

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Q: is 8 g/cm while a

A: answer is in next step

Q: Suppose f(r) is a function whose Derivative f'(x) is graphed below on the domain [0, 9). y = f'(x) 1…

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Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,4, 1). NOTE: Enter the…

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Q: 7458 B2 Follow the solution format on the picture.

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Q: The following Riemann sum gives the Right-Endpoint approximation of the area under the curve of some…

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Q: Use the method of reduction of order to find a second solution of the differential equation 1?y" +…

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Q: Use the Laplace transform to solve the given integral equation. f(t) + (t – t)f(t)dr = t 1 f(t) = s“…

A: Hi! The answer to the solution was f(t)=sint. You have entered the answer incorrectly.

Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 5.…

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Q: 4. CHOOSE one of the following functions (CIRCLE YOUR CHOICE): y = 2 log(x + 3) – 5 Asymptote(s)…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: provide the steps for f(x)= sin x2/ x.     integrate using power series

A: We have to find the integrate by using poer sereis

Q: Evaluate the indefinite integral.

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2* – x has a critical number…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: y" + 4.5y' = 0 %3D

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Q: 17. The integral (*-1)dx, х2-2х is evaluated as A. In2+ C D. 글미x2-2지 + C х-2 B.In+C C. In |x² – 2x|…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 6j. NOTE: Enter the exact…

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Q: I. DIRECTIONS:Compute for the degree freedom of the given data 1) n = 26 = df = 3) n = 18= df = 2) n…

A: We have to compute for the degree freedom of the given data  (1) n = 26 ⇒ df =

Q: Let F(z) = f(f(2)) and G(r) = (F(x))'. You also know that f(3) = 12, f(12) = 3, f'(12) = 5, f'(3) =…

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Q: 2- consider the set of all finite subsets of N, is this set countable or not, prove it?

A: Consider the set of all finite subsets of N, is this set countable or not, to prove it.

Q: (5) Radioactive decay is measured in terms of "half-life", which is the number of years required for…

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Q: The population of algae on a Petri dish is dying from exposure to a potent toxin. Its population…

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Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

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Q: Use a computer algebra system to graph fand to find f' and f". Use graphs of these derivatives to…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: 0,81 - 0.3104 + 27, wheret is the time in hours after When a factory operates from 6 AM to 6 PM, its…

A: Given problem:- When a factory operates from 6 AM to 6 PM, its total fuel consumption varies…

Q: 7. SE (x? – 2 +) dx = x(x³ – 4x + 4) + C 8. S(cot?x + 2)dx = x – 2+C cot³x 9. S csc²x D dx = - ot'x…

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Q: Determine if the following statement is true or false. The points P1(12, 9, 7), P2(6, 4, 0), P3(0, –…

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Q: 10. | xSin4xCos4xdx

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Q: Let a ci + j and b 2i + 6j. Find c so that a and b are orthogonal. C =

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Q: any method to determine if the series converges or diverges. Give reasons for (n!)8 Σ (7n)! = 1

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Q: Type exact answer only. No other unnecessary symbols or words. Write DNE if your think the limit…

A: Here we have to find the limit when x tends to '-2' , '0' , and '3'.

Q: хах 11. The integral f 4-х2 is equal to 1 A. In | | + C C.-글m14- x리 + C 4 x+2 2+x B. In |4 – x2|+C…

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Q: Find the solutions graphically. 2x- 3x2 - 23x+ 12=0 ... The solutions are| (Type an integer or a…

A: The given equation,      2x3-3x2-23x+12=0 Note:    Multiple questions are given, we are answer with…

Q: Solve the polynomial equation by using the root method, and check the solutions graphically. 3x3 -…

A: Explained below

Q: True or false If f’(x) = 0 and f”(x) < 0, then the point (x,f(x)) is a local minimum

A: Solution ) if f'(x) = 0 And f"(x)  &lt; 0 So (x , f(x) ) is a local maximum point  If  f"(x) &gt; 0…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Uppose the graph y = f(x) lies entirely above the r-axis. Which of the following gives the correct…

A: Given query is to find the correct option of the integral.

Q: Suppose the graph y f(x) lies entirely above the a-axis. Which of the following gives the %3D…

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Q: Find the area of the region enclosed by the graphs of x = y – 12y and y + 2x = 0. (Use symbolic…

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Q: cOS X 1. S dx V4-sin²x ´sinx` A. Sin-1(n*) + C cosx B. Cos-1(*) + C В. + C sin 3x . Integrate: S;…

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Q: Find the radius of convergence, R, of the series. Σ (x – 9)^ n=1 R%= Find the interval, I, of…

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Q: Use vectors to find the lengths of the diagonals of the parallelogra that has i + j and i – 18j as…

A: Given query is to find the length of the diagonal.

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 10 8x + 7 dx

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Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v…

A: Given; v=2i-j+3k ; b=6i+6j+7k   We know that the expression; The vector component v along b=v·bb2b…

Q: ecot x 20. J sin? x(e-cotx) dx is equal to А. е cot x + C B.글ecot x + C С. —есot x + C D. -ecot x +…

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Q: (x²–2x)° 2. у %3 x2 Differentiate using Logarithmic Differentiation

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Q: S sin x In(cos x) dx

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