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Q: Assume that x = x(t) and y = y = y(t). Let y=x^2+4 and dx/dt =2 when x=5. Find dy/dt when x=5

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Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

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Q: Which point on the graph of y = radical x is closest to the point (7, 0)?

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Q: 6. S: Ja2+1)2 dx x³ex? dx (x²+1)2'

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: -5u where u du (ii) The rate of decay of a radioactive is given by dt is the material and is the tim...

A: du/dt = -5u Hence, du/u = -5dt Integrate both sides to get: lnu = -5t + C where C is the constant of...

Q: Find the particular solution of the differential equation that satisfies the initial condition(s). (...

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Q: A manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates t...

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Q: Estimate the area under 3x+1, using R4, from 3 to 5

A: Given: f(x)= 3x+1 using R4, from 3 to 5.

Q: absolute error, relative error and percentage error

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Q: Solve the initial value problem

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Q: f(x) = 4x In(x), x> 0.

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Q: Answer

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Q: Find the derivative of f(x)=sin sin(5x) Ans: 5 cos (5x) solution?

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Q: Calculate the value of the limit, if it exists, or show that it does not exist.

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Q: Suppose f(x) = x° + 3x + 1. In this problem, we will show that f has exactly one root (or zero) in t...

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Q: f(x)=-x²+x+! If -x+- x=1 js x , then the slope of the tangent line at

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Q: e2x –1- 2x lim -0 1- cos 3x (ii) Evaluate

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Q: ative of cach of the following. You do NOT need to simplify your answer. - 3V+ 42

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Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

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Q: 4.(1) [ Find the orthogonal trajectories of astroids x* + y = m² where m is arbitrary constant. %3D ...

A: (i)

Q: Finding an equation of tangent line to the graph ln(xy) - x2+y2=0 at (1,1)

A: To find equation of tangent line to the graph of below curve at (1,1).

Q: Use logarithmic differentiation to find the derivative of the function. y = (4x + 1)°(x* – 2)6

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Q: How do I solve this by using the ratio test to see if it converges or diverges?

A: Given series is We will evaluate the following limit as follows.

Q: Find the area A of the region under the graph of the function f from x = a to x = b. f(x) = cos(x/...

A: To find the area of the region under the graph of the given function.

Q: If tan 0 = and cot ß = - for 0 in Quadrant Il and B in Quadrant II, find cos(0 – B). %3D 24 4

A: Given that

Q: Calculus Question

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Q: Calculus Question

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Q: X\ - (x) %3| ニ

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

Q: True or False. If a statement below must always be true, write True and give the brief justification...

A: The given statement is false.

Q: 5. Find the area of one petal of r=2sin4(theta).

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Q: Estimate the area under the graph of f(z) over the interval-2, 3 using ten approximating I +3 rectan...

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Q: ) (Section 10.7) Eliminate the parameter and find the correspond rectangular equation for the set of...

A: Consider the parametric equation

Q: dt

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Q: A. The Divergence test on the following series was inconclusive. State the 3 conditions to apply the...

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the au...

A: Intersection Points are: The line x=1 will intersect the x-axis at (1,0) because y is 0 at x-axis...

Q: 4. Find the point of intersection of: x + 2y = 1 3x- 2y = 11

A: Consider the pair of straight lines x + 2y = 1 3x – 2y = 11

Q: Calculus Question

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Q: 4. Sketch the region in the first quadrant bounded by the curves x = 0, y = Va? + 9, and y = 5. (a) ...

A: Given region is bounded by the below curves in the first quadrant. Region bounded by above region i...

Q: Use the fact that sec(x)′ = sec(x)tan(x) to find the derivative of arcsec(x).

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Q: 1. (a) Find a rectangular equation whose graph contains the curve C with the parametric equation x=2...

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Q: Find the Laplace transforms of the functions given in Problem. f(1) = sin t if 0 St S 2m; f(t) = 0 i...

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Q: Consider the vector space V of all the real polynomials of degree less than or equal to three, p(x)...

A: Given The vector space V of all the real polynomials of degree less than or equal to three, and l...

Q: er) be the function shown below. Find each of the following. -6 -5 -4 -3/-2 -1 6.

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

Q: Find the derivative of the function. h(t) = (1) ( + 1) %3D h'(t) = %3D

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Q: Answer

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Q: f(x) =

A: Given function:

Q: de de

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Q: 2 Evaluate V2x +1

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Q: I O1 tHe TegfonI petweell the IIIE

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Q: DA manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates ...

A: Given that: Price at which manufacturer sells 1200 television sets per week = $540 For $12 rebate, n...