Use logarithmic differentiation to find the derivative of the function y = 8z"(e), where r (x) = 5z . Enter the value of r (2) in the box below and upload your work in the next question.

Q: Solve the following system of equations, using whichever method you wish. x+ 2y = -1 2x+4y = -2 • If...

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Q: 36) -24i + 32j

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Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

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Q: Determine the limit of the sequence or state that the sequence diverges. 2 +n - 4n2 9n2 + 9 an = (Us...

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Q: 27e + 39e 18e – 10e- Find the horizontal asymptotes of the curve y: Note: Give the exact answer but ...

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Q: Use the Theorem of Sequence Defined by a Function to determine the limit of the sequence or state th...

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Q: |(1 – 32)} dx [a (1 – 43)! (1— 4х): (1 – 4x){ + C 3 + C 4 + C 3 none of the above

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Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O...

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Q: Use the difference an+1 – an to show that the sequence {n – 7"}n=1 | is strictly increasing or stric...

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Q: Given a particle is moving in a curve r(t) = cos  6t i + sin 6t j +  10t k. Find the tangential comp...

A: I have appended the formula used in the solution part

Q: x +1 dx (25 – x²) } X

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Q: -8

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Q: The possition function s(t) = -16t² + 350 Find : (a)average velocity over the time interval 2. %3D [...

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Q: Let z = 1+ V3i. (a) Represent z in polar form (b) Find z10

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Q: Find the total area of the shaded regions. The area is (Simplify your answer.) Ay 6- +2,4) 4 (2,4) j...

A: Here,, the region is bounded by the curve y=x4-3x2 & y=x2 Now, the area bounded in the first-fou...

Q: az Use the Chain Rule to find az and as for z = x2y3,x = s cos t, y = s sin t. %3D at

A: We will use chain Rule to perform differentiation.

Q: Sketch the graph of the following functions a) X/x+2 b) 1/(x−3)2

A: We can find the graphs as below

Q: Let us try to find where a function is increasing or decreasing given the following. 1. y = 2x –...

A: A function of x is given.We need to find the function is increasing or decreasing in the given inter...

Q: f(x) = -x + 1lx? – 28 %3D

A: We have the function                                   f(x)=-x4+11x2-28 then  Solution (a): Use the ...

Q: 16 — е2 d.x e- dr 212 + 4х —7

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

Q: Draw the Rollowin functions ゴ= 4メ-1

A: We have to draw y2=4x-1

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. b, = e9-n² (Give...

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Q: dy dr of the function given implicitly: Find 3ry + 6e" = 6e. Evaluate the second derivative at the p...

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Q: for an equivalence relation R on A, both sets, the class of equivalence classes of R —A/R— is a set.

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Q: cm/ min when the height is / m. The height is changing at a rate of (Type an exact answer, usingn as...

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Q: In the Wizard World, currency exchange is inconsistent. One Galleon from the Wizarding World is equi...

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Q: Find the first and second derivatives. 5. 6x y= – 7x + 8 eX

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: derivative of y with respect to x. y= In (6 In x) dy dx %3D

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Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: 3. Which of the following is logically equivalent to [(-p V q)^(¬p Vg) ^(¬p Vr)]→[[p V q)^(-p vq) ^(...

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Q: 4-ху Find lim (x,y)¬(2,1) x²+3y2 if it exists, or show that the limit does not exist.

A:    limx, y→2, 14-xyx2+3y2Plug in the value x, y=2, 1=4-2· 122+3· 12=27

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

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Q: Let f(x) = (r' - 5z)" and g(z) = 20z + 10. Find g(f(x)). O 20(- 52)+ 10 o (20z + 10) ( - 5x)*) (x) O...

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Q: Determine the general solution for each given higher order differential equation or particular solut...

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Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: Let f(z) = 221 + 20 z – 6 Which of the following statement is true? O There is a c in the interval (...

A: see below the answer Intermediate value theorem:-  If a function f is continuous on the interval [a,...

Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. ...

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = sec y =...

A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:  

Q: п (п Let d e R. For the arithmetic series (n-1) d, verify that sn = n=1 Also, show that an arithmeti...

A: We will check the divergence of the arithmetic series. 

Q: x3+2x dx x2+1

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Q: Find the critical points of the following. 1. R(t)=1+80t3+5t4−2t5

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Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph off passes through ...

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Q: created a mathematical question on inequality( quadratic) and answer the question

A: Inequality is an  expressions that compares the algebraic terms. 

Q: Use a tree diagram to write out the Chain Rule for u = f(x, y), where x = x(r, s, t), y = y(r,s, t)....

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5% of the drug...

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Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

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Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. f(x.y) =x - 5xy + 6y ...

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Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

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