Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

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A: See the answer below

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Q: Which functions is the inverse of the function f(x) O g(x) = O g(x) = 2-3x O g(x) O g(x) O g(x) = =…

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

Q: 5) Evaluate the limit; sin (3x) Tan (3x) a) lim. хэо b) lim X. Sinx X30 1- cos X fin (3001) тилев…

A: We can solve both the questions of question-5 in the below steps by finding the limit.

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A: Let's solve given differential equation.

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x),    a = pi/3

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Q: Evaluate the following integrals. a. Cπ/4 f/4 cos 20 de

A: Since you have posted multiple question in this question which are not interlinked so i have…

Q: 3. A man 5 feet tall walks at a rate of 4 ft/sec directly away from a street light which is 20 feet…

A: As per our answering guidelines we are allowed to solve only first complete question. I am solving…

Q: 5. y = cosh[tanh(sinh(x))] :

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

Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: Consider the initial value problem Observe that, if n = 0 or 1, the Bernoulli equation is linear.…

A: Given differential  equation xy'+y=4xy2    with y(1)=9

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A: As per our guidelines we can answer only 1 question, so kindly repost the remaining questions…

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: see below the answer and explanation

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A: I am attaching image so that you understand each and every step.

Q: III. Find the equation of the tangent line to at the point (,0). ge* +cos r = sin r+sinh(2 F

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Q: properties. 19. Both the function and the slope increase as x increases 20. The function increases…

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Q: Find the derivative. (e-2x) (x4)

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Q: 3. Find the derivatives: a) f(x) = 3x³-4 2x²+3 b) DO NOT SIMPLIFY y = (x² + 6x + 2)(²+√x + 3) c)…

A: Given; a) f(x)=(3x3-4)/(2x2+3) b) y= (x2+6x+2)(2/x4 + 3sqrt(x5) +3) c) g(x)=-2csc7x+8sin3x+12tan2x…

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Solve each of the following by forming exact differential (2y + 2xy2-xªy)dx +(x³ + 2x2y-x)dy-0

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Q: 2) Use guessing to find particular solutions to the following equations. e) y" +6y' + 13y=e-²t cos…

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Q: Find an equation for the tangent to the curve at the given point. Use Limits. Do not use rules of…

A: Find the limit using L'Hopital's Rule and then use in finding the slope at the given point.

Q: A patient’s drug costs her $75.00 for 300 tablets. What is her cost per week at 2 tablets per day?

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Q: The graph of continuous function f for -3 ≤ x ≤ 16 is shown. 3 2 1 04 -1 -2 -3 -4 -5% -6 -4 -2 0 2 4…

A: PART  (A)=-709.782 PART (B)=145.2 PART (C)=15.75

Q: Consider the following polynomial. g(x)= x³ + 3x² - 6x8 Step 1 of 3: Use Descartes' Rule of Signs to…

A: Given function is g(x)=x3+3x2-6x-8 We have to determine number of positive of negative real zeros…

Q: of the foll 1. Explain what each of the following means and illustrate with Lace a sketch())…

A: As  per our guidelines we can answer only 3 subparts of the given question, so kindly repost the…

Q: f(x)=6x²-4x5+3x³+x+1. Which of the following statements is true for the polynomial function f? O a.…

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Q: 2) Let the function g be defined by g(x) = 5x²-3x-2 for all real numbers x € (-∞, ∞). 2x²+3 This…

A: We need to find critical points.

Q: Find the critical points of the function g(x, y) = (x − 1)² + (y + 2)². List your answers as points…

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