Differentiate the following function: f'(t) = FI f(t) = √t__1 1-1/1

Q: Let g(s) = (282)7. Then g'(s) is g'(2) is g" (s) is and g' (2) is "

A: Solving the following problem

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Q: -10 5 10

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Q: ric substitution. Refer to the table of trigono d fractions where needed. Use C for the arbi

A: given integration is :-I = ∫dxx2x2-4for solving the integration ,lets substitute     x = 2sect…

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A: Given f( x , y ) = 20 - 10x + 14y

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Q: 1. The function y = 6(x - 1)*(x-2)²(x + 1) Changes sign at a. x = 1 b. x = 2 c. x d. it does not…

A: from bartleby policy we supposed to do only first part of multiple questions (1)…

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Q: Given f(x, y) = sin(x + y) where x = st5, y = 6s-5t. Find ft =

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Calculate dy/dx for each of the following functions. Any answer equivalent to the correct derivative…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 Q #8 Using implicit differentiation, prove (arctan x)' = - Similar to proofs of (arcsin x)' and…

A: The given data is: Using implicit differentiation, prove arctanx'=11+x2

Q: Use the indicated substitution to evaluate the integral. S (Give your answer to three decimal…

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Q: The concentration of salt in a fluid at (x, y, z) is given by F(x, y, z) = 2x² + 2y² + 4x²x² mg/cm³.…

A: Given, the concentration of salt in a fluid at (x,y,z) is given by F(x,y,z)=2x2+2y4+4x2z2 mg/cm3. We…

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Q: Show all work for the problems below. Use the given formula below. rth Term of a Binomial Expansion…

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Q: Use the indicated substitution to evaluate the integral. 1 = 1 √x² - 169 (Use symbolic notation and…

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Q: Evaluate using Integration by Parts, substitution, or both if necessary. (Use symbolic notation and…

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Q: Find f'(x) and f"(x). f'(x) f"(x) || f(x)= X 9 X X

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Q: 1. Consider the graph of f(x) given below: 101 (a) Find the following: i. lim f(x) 8 ii. lim f(x)…

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A: here we have to find the maximum and minimum value.

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 357 9 11 -…

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Q: 12. y = e ², y=0, x=0, x=1

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Q: 1a) The position of an object at time t is given by P(t) = 4t² − 4t + 3. Find the time t = a so that…

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A: Given query is to find sequence converges or diverges.

Q: Ifa a ball is thrown into the air with a velocity of 35 ft/s, its height (in feet) after t seconds…

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Q: Find All Solutions 1+ cos x = sin a on the interval [0,2π)

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Q: 2. d. Explain the difference between f(a+h)-f(a) h and lim h→0 f(a+ a+h)-f(a) h Use the definition…

A: Please see the below picture for detailed solution.

Q: By expressing (") and (, "₁) i in terms of factorials, show that () + (₁²₁) = (^#¹).

A: nr+nr-1=n+1r by expressing nrand nr-1 in terms of factorials.

Q: Write the first five terms of the sequence defined by the recursive formula: an= -3an-1 +5 If an =…

A: given an=-3an-1+5if an=2

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A: The limit definition of the derivative for a function g(x) at any point x is given as:…

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A: Here we have to maximize the function.

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an = 7 11 15…

A: We are require to find the nth term of the sequence 71,112,156,1924,23120,...

Q: Consider the function f(x) = 4x³ + 42x² + 144x on the interval [-8, 5]. Find the absolute extrema…

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Q: Find the absolute minimum and absolute maximum of on the closed triangular region with vertices…

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Q: a+x 3. Given a number a > 0, find the minimum value of √ax where x > 0

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Q: g) tan(x- y) = y 1+x²

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Q: The surface area of the sphere is increasing at the rate of 6 square inches per second. How fast is…

A: The surface area of the sphere is increasing at the rate of 6 square inches per second. We have to…

Q: Use technology to sketch the level curve of f(x, y) = 4x - 2y + 9 that passes through P(1, 2) and…

A: Given: f(x, y)=4x-2y+9 Level curve passes through point P(1,2). The gradient vector at P=?

Q: Find all the values of Xx Where the teensont line is horizontal 3 X²³-5x²³²-9x+10

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Q: 4. What general shape are the level cuves of z = √x² + y² - 4?

A: The objective is to tell the general shape .

Q: 1₁ 25-x2dx Given the integral Determine what substitution to use in order to solve this problem O…

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Q: (Hint: Rationalize twice) (ii) Use the result of part (i) to evaluate lim #42 (Hint: It's a one line…

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Q: Let lim g(x)=8_and_lim h(x) = 5 x→4 x→4 Determine the value of the limit h(x) lim x→4 x + g(x)

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