Differentiate. f(x) = In (4x+5)(x+8)5 (1-4X)6

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Q: Jump to level 1 Order the functions by growth rate. a(x) = 9ª + 9x c(x) = x log₂ (x) +20x! Select…

A: Please see the below picture for detailed solution.

Q: Although it is not defined on all of space R³, the field associated with the line integral below is…

A: Please see the below picture for detailed solution.

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A: Solving the following problem

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Q: (Q1.) State whether the following equations is linear or non-linear and gives its order, degree, and…

A: Solution is given below:

Q: Evaluate the line integral, where C is the given curve. √xy y = 2t, C xy ds, C: x = t²₁ 0 ≤t≤ 1

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Q: Next Find the volume of the solid bounded by the paraboloids z = −6+3x² + 3y² and z = 7 - 2x² – 2y²

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Q: Using the method of undermined coefficient, find the yc and yp of the following DE y" - 3y + 2y =…

A: Given :

Q: Find the following limit using l'Hopital's Rule: S √t cost dt x² lim *→0+ -help (limits)

A: limit

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Q: 10. The Colossus was a ferris wheel built in Saint Louis in 1986. The diameter of the wheel is 165…

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Q: Use differentials to estimate the value of 1.5. Compare the answer to the exact value of $1.5. Round…

A: By using differential to estimate the value of 1.54.  To compare the answer to exact value of 1.54.…

Q: a) Explain the product rule to find the first derivative b) Explain the Quotient rule to find the…

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Q: Find the volume of the solid under 16 - x² - y² and over the circle or radius 1 in the xy-plane.…

A: Given:- The solid under 16-x2-y2 and over circle or radius 1 in xy plane

Q: [-/4 Points] Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4,…

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Q: Find r'(t), r''(t), r'(t) · r''(t)

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

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Q: 5. Determine if the following integral is convergent or divergent. Do not calculate it. 1+2 sin(¹)…

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Q: Let w(x, y, z) = x² + y² + 2² where z = sin(4t), y = cos(7t), z = e²t. dz dy dw dt & dt dt Calculate…

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Q: Find the value of f)(3) if f(x) is approximated near x = 3 by the 10 Taylor polynomial p(x) = f(4)…

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Q: Define the linear transformation 7 by T(x) = Ax. Find ker(7), nullity(7), range(7), and rank(T). = […

A: T =  9 9 9 -9   Rank(T) + Nullity(T) = N = 2

Q: part d please in the original picture!

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Q: x 15 and x # 6

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Q: 5. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? If it…

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Q: 2. Sketch a function, g(x), where lim g(x) = 0 and lim_g(x) = 3. = x→2+ x→2- 3 HH 2

A: Using limits

Q: Jump to level 1 Order the functions by growth rate. a(x) = ln(x) + ln(x) c(x) = 55x +55x³ Select…

A: Given   Order the functions by growth rate. a(x)=ln x+ ln x b(x) = log₂(x) + 65x! c(x)= 55x + 55x3…

Q: 7x f h(x) = (1 + 4) ¹*, find lim h(x). X→∞

A: Please see the below picture for detailed solution.

Q: In A CDE, DE = 14, CE = 9, and m/E = 71°. What is the length of CD? Enter your answer, rounded to…

A: Solving the following problem

Q: 10) f(x) = -2. -8 -6 4 -2 2 -10 -12 +16 +18 x + 1 +1 2 4 6 x

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x = -3 x intercepts…

A: Functions

Q: 3. Determine the intersection (if any) of the following planes. Show your work clearly ₁: 2x + 3y z…

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Q: n=1 ncosan ૦૬, Itn³ 3

A: Solution: ∑n=1∞πcos2(n)1+n3Apply the constant multiplication rule:=π·∑n=1∞cos2(n)1+n3

Q: Omso Om = 1 Om=0 Omzo Om #0 If it is one-to-one, find its inverse. (If there is no solution, enter…

A: Work as shown below follow the steps:f(x)=mx+bRecall the function f is one to one if and only…

Q: evaluate to dx dx integral 540

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Q: where Compute Ja S = {(x, y, z) = R³ x² + y² + z² = 4, z ≥ 0} (.x²₂ ²z+y²z)ds,

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Q: (9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b)…

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Q: A graph of a function f is given. Determine whether f is one-to-one. O Yes, f is one-to-one. O No, f…

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Q: Q4.4 If w(s) = (s² - √s) (s - s²), then w' (1) 01 00 0-1 O-3/2 None of the above. =

A: We need to find the derivative of the function at indicated value.

Q: Use separation of variables to find the general solution of y'(x)= x tany.

A: Given ,  y'(x)=x tany Therefore, dydx=xtany

Q: Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79 96…

A: Given that , Year 1950 1960 1970 1980 1990 Rate of change (million people per year) 27 42 59 79…

Q: The function f(x) is approximated near x = 3 by the second-degree Taylor polynomial T₂(x) =…

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Q: 5. Determine an equation of a line that lies directly on the plane: answer). 3x+4y+5z-29=0. (Justify…

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Q: Find a basis for the eigenspace corresponding to the eigenvalue. A = 622 2 94,λ=5 -2 -4 1

A: Given matrix:- A=622294-2-41

Q: Suppose that the cost function for a product is given by C(x)=0.002x³ +9x +7,443. Find the…

A: Given, C(x)=0.002x3+9x+7443

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to…

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Q: Q4.5 If f(x)= e2x O e²x - √xe² e4x 1 4e²√√x 4√xе²x then f'(x) = x 1/2e2x -x 2e4x O 1 - 4x 2e2x √√√x…

A: Need to find out the derivative of the given function.