For each of the following problems differentiate the given funct h(w) = w² – 3sinh (w) g(x) = cos(x) + cosh (x) H(t) = 3 csch(t) + 7sinht %3|

Q: 3x2 – 2x – 8 - Let f(x) 3x2 – 11x + 6 - This function has: 1) A y-intercept at the point 2)…

A: Simplify the function using definition of asymptote.

Q: -3 < x To nenen Is fox is odd ? even or

A: Use definition of odd and even .

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: Ion 14 Based on the graph, find the set of all x-values for which the points P(x, y) are on the…

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Q: A state makes auto license plates that have two letters (excluding I, 0, and Q) followed by four…

A: A state makes auto license plates that have two letters(excluding I, 0, and Q) followed by four…

Q: Using decomposition into partial fractio 2x2 + 2 x(x2 + 2) is equal to

A: We have to find solutions

Q: 10 8 Consider the function f(æ) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) :

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Q: ()6 = K 3- 0- 0. 3 6.

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Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic…

A: Here I am providing handwritten samples

Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

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Q: What are intervals of concavity of the function f(x) = -2x – 6x? – 3 ? a. Concave upward on (-00,-1)…

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Q: Find the derivative of f (x) = In x- A. В. 1– x2 2 C. x2-1 D. x² +1 E. None of these 1- x2 Given the…

A: To differentiate the given functions.

Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x² + 2)| + C…

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Q: 8n + 3 E(-1) "-1. n2+3 n=1 a) Determine whether or not the series is absolutely convergent. b)…

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Q: 4. Let R be the infinite strip between the x-axis and v= xex x20. Determine if the area of R is…

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Q: The following telescoping series 1 sin-1 sin -1 n + 1 n=1 converges to 3 converges to= the above the…

A: Given problem:-

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: Use substitution to determine whether the given x-value is a solution of the equation. -5 tan x= 3 O…

A: topic- trigonometric equations tan(-θ)=-tan(θ)tan(π-θ)=-tan(θ)

Q: dy/dx+4y/x=6x-5 if y=1 and x=1 then C equal -2 -1 O O O O O

A: Note: According to our expert guidelines only one individual question is to be answered kindly…

Q: x2-16 x - 16 Let f(x) = (a) Calculate f(x) for each value of x in the following table. (b) Make a…

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

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

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Q: 00 6" +3 2(-1)"-b,, where b,=- n' n n=1 (n+3) 9"+4 a) Find and simplify bn+1 bn b) Test the given…

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Q: Question 12 Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest…

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Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

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Q: Sx In x dx

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Q: Drag each set of column entrles to the correct locatlon In the matrix equation. Not all sets of…

A: This problem gives us the system of linear simultaneous equations. This system can be represented by…

Q: 2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is…

A: We have to find the velocity and acceleration.

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: A population of bacteria is growing according to the equation P(t) = 2000e0.05t. Estimate when the…

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Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0sts2M. 3.1. Find an equation…

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Q: Problem #2: Differentiate f(x) = [(6x³ – 3)(7x² + 8x – 1)]° and solve f'(2). %3D Solution: Reason:

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Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .

Q: 2. Evaluate the integral csc2 (5x) d> -2csc(5x)cot(5x) + C O -10csc(5x)cot(5x) + C -cot(5x) + C O 1…

A: To solve the following problem

Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…

A: This question can be solved using the concept of shell method.

Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

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Q: 6 Find the sum of the arithmetic series, 3n+2. 50 75 100 25 O O O

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Q: Juliana invested $5,100 at 5.75% p.a. simple interest. How many days will it take for her investment…

A: Given query is to find the time taken to grow the investment to 5310.

Q: Find the general solution to the trigonometric equation (2 cose - 1)(tane + 1) = 0 function value,…

A: Given equation, (2cosθ - 1) (tanθ+1) = 0 To be found : general solution of given equation

Q: de

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Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

A: Given query is to find the limit of the expression.

Q: dy y = 5x is a solution to the differential equation: da Select one: O True O False

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Q: The integral (2

A: Given: ∫124xx2-43dx

Q: A cylindrical container with both ends closed has a radius r cm and a volume 100 cm³. Determine the…

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Q: Find the first five terms of the Taylor series for the function f(x) = lnx) about the point a = 2.…

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Q: dx Given dt 1 and y = 6. Find for x2 + y² = 100 dt O A. 3 4 O B. 3 4 3

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: From Rogawski ET 2e section 10.7, exercise 58. Find the first four non-zero terms of the Maclaurin…

A: Given problem:-

Q: 1 What is the instantaneous rate of change of Y= at x = 2? - o-1 4 O none of these -1 -1

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Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…