Use logarithmic differentiation to find the derivative of the function yy = (x2 + 2)2 (x4 + 4)4 Use logarithmic differentiation to find the derivative of the function y

Q: Simplify:[(1/x -3/2)/(1/x +3/4)]

A: It is given that,1x-321x+34We have to simplify:  

Q: A straight line whose inclination with positve direction of the x-axis measured in the anticlockwise...

A:  

Q: Determine the value of k in the attached question.

A: Find the definite integral and put the limits and then equate each term to get the value of k

Q: Plot the point (3, 150°) in polar coordinates and find its rectangular coordinates.

A: we have to plot the point 3,150° in polar coordinates and find its rectangular coordinate.

Q: Increasing and Decreasing Use a graph of f(x) = e - 3e* – 4x to find, approximately, the intervals o...

A: Graph of given function:

Q: Find all the complex cube roots of 27(cos 306° + i sin 306°). Write roots in polar form with θ in de...

A: z=27cos306°+isin306° Raising power 13 on both sides, we get z13=27cos306°+isin306°13=3cos306°+isin30...

Q: Find the radius of convergence of the power series

A: Given power series, ∑n=0∞x2n(2n)!

Q: Which of the functions graphed are one-to-one, andwhich are not?

A: Consider the given graph, y=x4-x2 the function is one-to-one if for every of x there will be a uniqu...

Q: If b ≠ 0, then b0 =_______.

A: Given: b≠0, then b0=? Concept Used: Any number power zero is one.

Q: let logb 2 = A and logb 3 = C. Write the expression logb8 in terms of A and C,

A:

Q: A fixed point theorem

A: THEOREM : Let f be a continuous function on [0,1] so that f(x) is in [0,1] for all x in [0,1]. Then ...

Q: Piecewise-Defined Function Discuss the continuity of x for x 3

A: Here given function as fx=xx<131≤x≤3xx>3 It is a branch function, thus the possible point wher...

Q: Complete the table. у 3 f(g(x)) 3 y = f(u) u = g(x) 3 y = u = y x + 10

A:

Q: Q. 2. Test the exactness of ODE, if not, use an integrating factor to make exact and then find gener...

A:

Q: Find the area of the following regions.The region bounded by the graph of ƒ(x) =x/√(x2 - 9) and thex...

A: Given: The region is bounded by the graph of f(x)=xx2-9 and the x- axis between x=4 and x=5.

Q: Help with this problem please.

A:

Q: Laplace transforms A powerful tool in solving problems in engineering and physics is the Laplace tra...

A: Given: ft=1→Fs=1s.

Q: In Exercises 1-4, use the Principle of Induction to prove the formula for all natural numbers n. n(n...

A: You asked multiple questions, we'll do the first question. For the remaining question answered, post...

Q: 97-98 - Graphing Regions Sketch the region given by the set. 97. {(x,y)|-4 <x<4 and -2 <y< 2} 98. {(...

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: Determine the following limits at infinity. lim x12

A: Evaluate: limx→∞ x12  

Q: Mass from density Find the mass of the following objects with the given density functions. Assume (r...

A: Given that the solid paraboloid D = {(r, θ, z): 0 ≤ z ≤ 9 - r2, 0 ≤ r ≤ 3} with density function ρ(r...

Q: Solve and graph the solution set on a real number line: 2x2 ≤ -6x - 1.

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Q: For the following function ƒ, find the antiderivative F that satisfies the given condition. ƒ(ν) = s...

A: For  find the anti derivative of function f(x):Let f(x)=ax+b Integrate the function both side ∫f(x)d...

Q: Graph r1 and r2 in the same polar coordinate system. What is the relationship between the two graphs...

A: The given equations are r1=2sin3θ,r2=2sin3θ+π6.

Q: Evaluate the integral

A:

Q: Is the distance between any two different real numbersalways positive?

A: State whether the distance between any two different real numbersalways positive or not

Q: Add or subtract as indicated: 3/(x + 1 ) - 3/x

A: Consider the provided expression, 3x+1-3x Solve to above expression add or subtract as indicated.  

Q: express each vector in the form w = w1 i +w2 j + w3 k. AB if A is the point (-7, -8, 1) and B is the...

A:

Q: Solve 3u + 4v = 12w for u.

A: To solve the expression, 3u+4v=12w for u. Solution:   The given expression is 3u+4v=12w solving and ...

Q: 21-24 - Exponential Functions from a Graph Find the expo- nential function f(x) = a* whose graph is ...

A: Given graph of the function fx=ax. Given graph passes through point (2,9). So, point will satisfy t...

Q: sketch the coordinate axes and then include thevectors u, v, and u * v as vectors starting at the or...

A: The given vectors are u=i+j+0k and v=i-j+0k.