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Q: If an annuity makes an infinite series of equal payments at the end of the interest periods, it is c...

A: Given:

Q: 10. Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and x-interc...

A: Consider the given question,Quadratic equation is a parabolic equation and its vertex is highest or ...

Q: Determine where the graph of the function is concave upward and where it is concave downward. (Enter...

A: The given function is

Q: g(x)=2x^3+5x^2-28x-15 A)find power function B) homany turning points can this graph have

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Q: f(f (x)) and g (x) = f (x2). Use the 56. If fis the function whose graph is shown, let h (x) graph o...

A: It is given that h(x)=f(f(x).

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

A: Refer to the question, from the above information one can note that the point where the rope touches...

Q: Can you help me step by step?

A: The given function is

Q: using L'Hospitals Rule, what is limx->(pi/4)+ 4sec(2x) - 4Tan(2x)

A: The given expression is:

Q: need help with part b

A: The logistic equation for rate of population growth is,

Q: Use Eulenis methed to caleulate the first thnee value problem Size. Caleulate ke 1. approximation to...

A: Calculate the first three approximation to the given IVP as follows.

Q: solve with trig substitution

A: Using trigonometric substitution, x=3sint

Q: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week ...

A: The given function is shown below:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x f...

A: Given:

Q: problem in photo attached

A: Theorem used:

Q: using L'Hospitals Rule what is the limx->0+ (x-1)(-cscx) ?

A: Obtain the limit of the function as follows.

Q: 29. Let f(x) x2, use the appropriate transformations to write the function g(x)-2x2 + 5x + 3 in term...

A: Rewrite the given function g as follows.

Q: Let f(x)=8x+6/x (A) Use interval notation to indicate where f(x) is increasing.Increasing: (B) Us...

A: From the given information:

Q: Let y= - (1)/(x^(2)+11) Find the values of x for which y is increasing most rapidly or decreasing mo...

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Q: Let f (x) = x5 + x3 + 2x − 1?The function f is increasing on the following interval(s): (a, b)...

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Q: Let f (x) = 8x4 − 16x2 + 39Find the value(s) of c at which f ' changes from positive to negative and...

A: Given:

Q: vee 0t5 9518 35 cos (Se) dO 1 t Sinse)) -10

A: Apply substitution method to solve the definite integral.

Q: Water is flowing out at a rate of 50 m3/min from a conical reservoir (vertex down) of base radius 15...

A: From given, radius is 15 m and height is 6m.

Q: For all x that satisfy |x| <(1/4), | cos x−(1−x^2/2)| is less than or equal to what numerical val...

A: First case:

Q: A cylindrical metal can is to be made to hold 1 L of oil. Find the dimensions that will minimize the...

A: To analyze the amount of material to be minimized under the given conditions

Q: Find the exact global maximum and minimum values of the function. f (x) x- lnx for x > 0 If there is...

A: We need to find the global maximum and minimum values of f(x), where f(x) is given by,

Q: Calculus Question

A: Since both the variables are a function of t, we differentiate the expression with respect to t.

Q: find the derivative of : y=cos(sqrt(6t+11))

A: The given function is y=cos(sqrt(6t+11)).

Q: Can you help me step by step?

A: Given,

Q: 79, 80, and 81 Find an equation of the tangent line to the curve at the point corresponding to the g...

A: Differentiatig the given set of parametric equations with respect to t, we get

Q: Differentiate

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

Q: An apple grower finds that if she plants 40 trees per acre, each tree will yield 230 bushels of appl...

A: Let x be the number of additional tress.From the given information, the total number of trees is (40...

Q: Prove a and b by induction

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: see attachment

A: Consider the given inequality:

Q: Find the differential of each function. (a) y=tan(sqrt3t) dy = (b) y = 5-v^2/5+v^2 ...

A: (a) Find the derivative of the function

Q: Consider the following. C = x3 − 6x2 + 12x Use the cost function to find the production level at w...

A: The given cost function for x units is

Q: Let f(x)=6(x−6)2/3+8.f(x)=6(x−6)2/3+8. (A) Find all critical values and list them below. (B) Use ...

A: As per our policy I am solving 1st three subparts and for the remaining subparts post the question a...

Q: A cube with 35-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter...

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Q: Differentiate all three problems

A: Given functions are

Q: F(x)=2x4+3x3+6x2+12x-8 solve and look for all zeros

A: Given:

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4....

A: The average velocity for [1,3] = 4.65Answer: a) i) 4.65

Q: Please help with these questions

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: = 4, fi(5) = -1, g(5) 2, and g (5) 25. If f(5) 2f(a) 3g(x) 3, find hi(5) if h(a) =

A: Differentiate the given function on both the sides with respect to x to get an expression for h’(x);

Q: what is the absolute maximum/minimum of: f(x)=xln(x/4) on [0.2,4]

A: Given, function is

Q: 21. Find the indicated quantities for the function y = f(x)= 2x2 +5 (a) The change in y if r changes...

A: Hi, as per our norms, we answer three sub parts to a question. Since your question has six sub parts...

Q: 93. Viewing angles for advertising: A 25-ft-wide billboard is erected perpendicular to a strai ght h...

A: To determine:Part a) Expression for the viewing angle.Part b) The distance d for which the viewing a...

Q: I need help with 1a)

A: straight line becomes y=x

Q: The partial fractions of these two equations and the work. Thanks

A: Hello there! We’ll answer the first question since the exact one was not specified. Please submit a ...

Q: I need to find the velocity, acceleration and speed of a particle of the given function. I was able ...

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are re...

A: We differentiate the expression with respect to time, since time relation (i.e. week) is mentioned ...

Q: problem in photo attached

A: To find the derivative of the given function as follows.