Assume x > 0. Use logarithmic differentiation to find dx None of these. In(x) O (√)(*) In (2) 2x O (√) 2x² In(r) O (√) I In(x) In(z) (2+In(x)) 2√ given that y=(√)(x)

Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

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Q: Find the four second-order partial derivatives. 5 f(x,y) = 2x y-5xy +9y fxx(x,y) = fxy(x,y) = fyx…

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Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

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Q: A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is…

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Q: Find the partial fraction decomposition of 5 2 x²+x-6

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Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

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Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: 7s +5 s² + 25 Is true or false? Select one: O True O False Give your reasons } = 7 cos (5t) + sin…

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Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function:- y=2x

Q: Find the open interval(s) on which f(x) = -5x² + 50x+8 is increasing or decreasing. O increasing on…

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Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

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Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A: Given query is to find indicated angle.

Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t<2e2tt≥2and (b) L-13(s+5)(s-2)

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

Q: Suppose g(x) has a range of [-2, 6]. Determine the range of the transformation y = 2g(x) - 5 O [-14,…

A: Given: Range of g(x) is [-2,6]

Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: DETAILS GHCOLALG12 1.5.018.MI. oriental rug is 5 feet longer than it is wide. If the diagonal of the…

A: Given query is to find the dimensions of the rug.

Q: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: y = x^ex

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Q: X √√ ( 2² + 2)² This can be transformed into a basic integral by letting Consider the indefinite…

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Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: Use the summation formulas to rewrite the expression O O 4 8 71 72 6 8 6 S I I I + n 8 4 72 8 S…

A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

Q: 1. Evaluate the indefinite integral f sinecose de 1+sin²0

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Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1) Let an = 3+2(n-1). Write the first 5 terms of an. Find Σ10% ακ k=1

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Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: Given the graph below, solve the following inequality: k(v) ≥ 0 Họ tan 9 8 7 6 5 -10-9-8-7-6-5-4-3 4…

A: To solve the given inequality

Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: Determine whether the series given by Σ±% (-3) k+1 (-3)*+¹

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Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: The Laplace Transform of is Select one: O None of these. O F(s) = O F(s): O = F(s) = f(t) =…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

Q: Given the graph below, solve the following inequality: k(t) < 0 +10 +RVEY 9 8 7 6 5 4 3 2 1…

A: To solve the given inequality

Q: Could you find the equation of the graph?

A: A logarithmic graph is given and we have to find its equation.

Q: Find the derivative of the function. y' = y = 3 tan-¹(x - √₁+ 1 x² +

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Q: Enter the equation of the parabola graphed below, using the vertex form y = a (x-h)² + k -5 -4 -3 -1

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