27x³y6z¹2) 3/ 12-

Q: Find the derivative of the function. f(x) = arcsin (et) f'(x) = Find the domains of the function and…

A: To find out the derivative of the function.

Q: 1. Find the derivative of the following exponential and logarithmic functions. 1. y = ecos2x 2. y =…

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Q: Let an = 10n² + 4n-3 2.3n Determine lim an+1 Explicitly indicate dominant terms when taking the…

A: Given:- an=10n2+4n-32·3n

Q: Use any method to set up an equation to find the volume of the solid generated by revolving the…

A: We need to set up integral.

Q: en h(x)= x³f(x) g² (x) XT) and f(1) = 1, f'(1) = -1,g'(-1) = 3,g(-1) = -2, find h'(- 1²0100

A: Topic:- function and its derivatives

Q: 32. Sketch the following vectors, and find their components and lengths: (a) 4i +3j - 2k (b) i+j+k…

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Q: Use the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 Type your answer without…

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Q: Solve by the method of your choice:Fifty people purchase raffle tickets. Three winning tickets are…

A: Given data, n=50 r=3

Q: 2. Find the critical values of f(x) = x² +2 Find the open intervals on which f(x) = x¹ +8x³ is…

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Q: Evaluate the integral. 11x² da (x + 1)(x² + 1)

A: This question can be solved using the concept of partial fractions.

Q: Consider the following differential equation: dy dx 1. Find the general solution. + y = x.

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Q: For what value of p does the sum of roots of the equation 6x² - 3px + 5 = 0 equal the product of…

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Q: PZ π/2 54 3 2 1 -2 -3 -4 -5 Find lim f(x) = The graph of the function f(x) = tanx is given above for…

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Q: The number of words per minute that an average person can type is given by the function W(t) = 62-29…

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Q: A particle is moving along the curve y = 4√4x + 4. As the particle passes through the point (3, 16),…

A: A particle is moving along the curve y=44x+4. As the particle passes through the point 3, 16, its…

Q: Find the directional derivative of f(x, y, z) = z³ — x²y at the point (2, 4, -5) in the direction of…

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Q: 4. (x + y)dy - (2x - y + 3) dx = 0

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Q: Find the equations of all lines having a slope -1 that are tangent to the curve y=1/x-4

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Q: An object is launched directly in the air at a speed of 48 feet per second from a platform located 4…

A: The position of the object can be modeled using the function ft=-16t2+48t+4, where t is the time in…

Q: 7) Find the horizontal asymptote, if any, of the given function. 2x³-3x-9 f(x) 9x³-5x +3 A)y=5 8) If…

A: Here we have to use the concept of limits

Q: Find the x-intercept(s) of the following function. f(x)=x² - 4x +3 Give your answer as ordered pairs…

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Q: e the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 e your answer without fractional or…

A: Given query is to find indicated derivatives.

Q: S x2tan-1xdx

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Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 15-…

A: Given query is to find indicated limit.

Q: 1. x²sin (y) dx - cot(y) dy=0

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Q: Evaluate: S 5x²-3x+2 dx x³ - 2x²

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Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: Find an equation of the tangent line to the curve y=4^x at the point (1,4)  Tangent line: y=

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Q: State in interval notation where the graph is differentiable. A) (-∞, -1) U (-1,3) U (3,00) B)(− ∞,…

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Q: Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

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Q: d) How long is the ball above a height of 10 m? e) How long is the ball in flight?

A: We have to find time for which the ball is in flight.

Q: A sales team estimates that the number of new phones it will sell is a function of the price that it…

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Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

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Q: Let F(x) = f(x7) and G(x) = (ƒ(x))¹ . You also know that a = 7, ƒ(a) = 2, ƒ'(a) = 15, ƒ'(a¹) Then…

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Q: ✩ lim √25x² +279x+690 15x² +976 соех 1 2 O

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Q: Use the laws of exponents to simplify the expressions in Exer- cises 11-20. 11. 162- 16-1.75 12.…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Evaluate the following integral, showing all calculus and algebra work. 2x² √2x²+x=1d + x - 1 -dx

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Example 2 (Calculator Active): For 0 ≤ t ≤ 10 days, the rate that a company sells t shirts, in 100's…

A: Given query is to find the rate shirt sold after 5 days .

Q: Find the 35th derivative (with respect to G) of y = 5cos (2G) Select one: O a. y'= -1.717986918x10¹¹…

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Q: Use synthetic division to find the quotient and the remainder when the first polynomial is divided…

A: See the details solution in below

Q: Use polar coordinates to find the volume of the given solid. V = Inside the sphere x² + y2 + z² = 25…

A: Given sphere x2+y2+z2=25 And cylinder x2+y2=1

Q: ach of the following questions, find the error(s). Then, write out the correct response Given…

A: Given query is to find the composite function.

Q: Find a parametrization for the line perpendicular to (6, −1, 1), parallel to the plane 6x + y − 8z =…

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Q: 2) Consider the function f(x) = x + sin x defined only for x € [1,4]. Fill in each blank with a…

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Q: 3. Let f(x)=√F. and let g(x)= (fog)(x) -√√ √2² Calculate and simplify (fog)(r)

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Q: K Let f(x) - f''(x) = 3 + 3 x6

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Q: 6 5 4 3 2 1 y = f(x) 012 lim h→0 = lim f(f(x) + 1) = x → 1- 3 I f(0 +h)-f(0) h I 4 5 I I Enter each…

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

Q: C. (6x + y²)dx + y²¹)dx + y(2x − 3y)dy = 0

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