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Q: see attachment

A: Given that the initial point and terminal point are (–3,5) and (1,6), respectively.

Q: A rectangular tank with a square base, an open top, and a volume of 6912 ft^2 is to be constructed o...

A: Given tank is open at top.So, the surface area is,

Q: Problem 3: Evaluate the following limits, or give a short reason why they do not exist. (You may use...

A: a) To evaluate:

Q: The sales of Sherwin-Williams paint in different regional markets depends on several input variables...

A: Click to see the answer

Q: Find the linear approximation to the function. x2 f(x + Δx) ≈ Evaluate it at the given va...

A: Click to see the answer

Q: The question says: "A pair of paraetric equations is given. a.) Sketch the curve represented by the ...

A: To sketch the graph, the points (x, y) are to be determined for different t values and then the poin...

Q: Can you help me on #1

A: Distribute secx use 1/secx=cos xThen simplify.

Q: Questions 19

A: Given:

Q: Can you help with this problem step by step?

A: Given function is

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Click to see the answer

Q: Consider the function f(x,y)=|x|+|y| Sketch the surface z = f(x,y) Draw the level curves of the func...

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Q: Find the derivative of

A: Given,

Q: Find the derivative of.

A: To determine the derivative of the quotient

Q: How do you solve this? I got -6 and 3 and it said it was incorrect, I also tried -3 and 6 but it was...

A: Given,

Q: Find the derivative using the following information.

A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to cu...

Q: 2. Microtutorial eled by the equation The Pacific halibut fishery has been mod- 8 x 107 B(t) 11 1 +3...

A: Given function

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: To determine the equation of tangent line at given point.

Q: For what values of x is the graph of y =xe-2x concave down? values (Give your answer as an interval ...

A: Click to see the answer

Q: Sketuh fCx)= x-DA2x1) ( 12X21 7xt1 X-intercept Doman: 10 Y-inteicept 10 Slant Asymptote: Vemcal Asym...

A: The given function is:

Q: Find the derivative of y with respect to x. y= csc^-1 (x^2+1) , x>0

A: Given ,

Q: Let f(x,y)= x2-y2 a) On the set of xy-axes, draw the level curves L(x,y) = k for k= 1,2,3. On anothe...

A: The level curves f (x, y) = k are just the traces of the graph of f in the horizontal plane z = k pr...

Q: if sin(0)=-7/25 with 0 quadrant IV, what is cos(0)?

A: Given

Q: Suppose that f(5) = 1, f '(5) = 9, g(5) = −5, and g'(5) = 2. Find the following values. (a) (fg)'...

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Q: Find the derivative using the following information.

A: To find the derivative of the square root of the expression

Q: The question prompts for the integral from 0 to 1 of 1/x^p, what values of p would the integral conv...

A: Given,

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the ...

A: Given:

Q: Find the derivative of the function below

A: Given,

Q: Angle of tangent to curve 8 of 13 Review Constants Part A What angle does the tangent to the curve y...

A: Click to see the answer

Q: To illustrate the Mean Value Theorem with a specific function, let's consider f(x) = x3 - x, a = 0, ...

A: Given,

Q: For the given function, find all values of cover the interval (4, 8) stipulated by Rolle's Theorem s...

A: Given function in interval (4, 8)

Q: 4. Assuming the limit exists, explain what ∞0 means and explain why an ∞0 limit could be anything be...

A: To discuss indeterminates and limits.

Q: 1 0 -1 1. For what values of x does the function f have a local maximum on (0,8)? Answer (separate b...

A: Functions can have "hills and valleys": places where they reach a minimum or maximum value. It may n...

Q: see attachment

A: Given:

Q: Use the method of partial fraction decomposition to perform the required integration. X1 (x-7)2 x 1 ...

A: Write x+1 as x-7+8 to simplify the integrand

Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a...

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of...

Q: Identify the curve by finding a Cartesian equation for the curve. 18. θ = π/3

A: Given that

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: Given,

Q: f(x)=(4x^2)/[(x^2)−4]. Calculate the first derivative of f. Find the critical numbers of f, where i...

A: The given function is,

Q: Find the limit as x approaches infinity of f(x) when f(x) is x times square root of x

A: x times sqrt(x)= x times x^(1/2)= x^[1+1/2] = x^(3/2)

Q: Find the derivative.

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) e9x e~x (a) Find the int...

A: NOTE: As you have posted a question with multiple subparts, we will answer the first subpart as per ...

Q: Evaluate the difinite integral. ∫12x3lnx4dx type an exact answer in simplified form.

A: We need to compute the value of the given integral,

Q: Find answer in terms of L(x)

A: Given equation with conditions is

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

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Q: indeterminate forms?

A: Indeterminate form is an expression involving functions whose limit cannot be determined from the li...

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Plug f(x)= g(h(x)) in the given function.

Q: Let f(x)=ex2. It can be shown by direct computation that f(4)(x)≤76e on the interval [0, 1]. Using t...

A: Compute the first, second and third derivative of the given function as follows.

Q: Find the equation of the tangent line to the curve at the given point.

A: To find the tangent at the given point on the curve, using derivatives

Q: Find dy/dx

A: Given expression,

Q: dx Evaluate 121 324x2 dx 121-324x2 (Use C as an arbitrary constant.)

A: The given integral is,