Consider the equation below. r = 11 4 + 2 cos(0) (a) Find the eccentricity. e = (b) Identify the conic. ellipse parabola hyperbola none of the above (c) Give an equation of the directrix (in Cartesian coordinates).

Q: 14) Graph the curve manually. Indicate the positive orientation r(t)=6cos(t) i + 4sin(t) j −2k for…

A: The given vector valued function  for

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A: By using the graph to find the following.

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A: Step 1: Step 2: Step 3: Step 4:

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A:

Q: Use the shortcut rules to mentally calculate the derivative of the given function. f(x) = 8x4 f'(x)…

A: The objective of this question is to find the derivative of the function f(x) = 8x^4 using the power…

Q: et-1 t-07+2te-2t-7et Given that lim [7427][h(r)]] = = = 3 use the Rules of Limits and 28 -…

A: Given: limt→0​[[7+2tet−2t−7etet−1​][h(t)]]=−283​ Step 1: Simplify the expression inside the…

Q: 10. Sally reasoned that if she drove 30 km/hr in one direction over a 180 km distance, and then…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Find the indicated derivative for the function. f'(x) for f(x)=2x-4x+4x-4 f''(x) = ☐

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Q: Q1 please

A: Step 1:As you ask question 1, I solved it but if you need other parts you can ask.

Q: This is part of the curve sketching unit for calculus solve using proper steps and give right answer

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 1. Find the work done when a non-constant force of F(x) = object from 2 m to 6 m. = 200 x2 N is used…

A: To find the work done when a non-constant force of  N is used to move an object from 2 m to 6 m.

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=5.

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Q: Show working please

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Q: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 2* 2x = 13 x…

A: Step 1:solution given that 2x=13using natural log both side ln2x=ln13 Step 2:using logarithm…

Q: 12. Given the point (2, 1) on a tangent line to the curve f(x) = x² - 2x + 5 find the point(s) where…

A: Step 1:12. The given curve is, f(x)=x2−2x+5. ..........(1)  Let (a,b) be the point where the tangent…

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A: Step 1:Step 2:Step 3:Step 4:

Q: evaluate the following limits x approaches infiniy square root (7+11xsqaured)/5+8x). and x…

A: Step 1:Step 2:

Q: Suppose that the dollar cost of producing x appliances is c(x) = 800 + 70x-0.4x². a. Find the…

A:

Q: answer questions 15, 23, 27, 39, 47

A: Step 1:15. Differentiating the right hand side, x(lnx−1)+c, we have  1(lnx−1)+x(x1​)+0=lnx−1+1=lnx,…

Q: Find the magnitude and direction (in degrees) of the vector u = Round to the nearest tenths place. =…

A: The magnitude of vector ∣∣u∣∣=8.1The direction of vector is θ=119.7∘

Q: For the function graphed below, estimate the point of greatest curvature -4-3-2 x =

A: Step 1: Step 2:We can visually inspect the graph to estimate the point of greatest curvature…

Q: Suppose that y = f(x) is a particular solution to the differential equation condition f(2) = 3. A.…

A:

Q: Determine if the sequence converges of diverges, if it converges, find the limit. an = √1+4n2 /…

A: To determine if the sequence converges or diverges, we need to find the limit as n approaches…

Q: Given f(x) = 5* determine the equation for g(x)= −ƒ¯³(x-2)

A: Or, g(x) = -log5(x - 2)     [When written in terms of log as loga(x) = ln(x)/ln(a) ]

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A:

Q: Find the derivative of the following function. y= x e-9 In |x| y' = (Simplify your answer.)

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Q: Use the quotient rule to find the derivative of the function. y= 3x+1 8x+7 What is the correct way…

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Q: Find derivative of the following function. 5x -5x e +e y= X dy dx ||

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Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

A: The objective of this question is to evaluate the double integral of the function (x² + y²) over a…

Q: Let y = 5x2. Find the change in y, Ay when x = 1 and Az = 0.3 Find the differential dy when x = 1…

A:

Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

A: The objective of this question is to evaluate the double integral of the function (x² + y²) over a…

Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor serie f(x) =…

A: By using the definition of Taylor series to find the first three nonzero termsof the Taylor series.

Q: Polar formulas 4. Assume r = f(), with on [a, ẞ]. Write the following formulas. AREA ARC LENGTH

A: Step 1: Step 2: Step 3: Step 4:

Q: include domain please

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Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…

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Q: series calculus 2

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Q: find domain

A: If you have any questions let me know in comment box thankyou for your question.

Q: Q Let x)=x+2x-8. For what value(s) of x does f(x) have a local minimum? Paragraph V B I UA Ev Ev

A: The objective of this question is to find the value of x at which the function f(x) = x^2 + 2x - 8…

Q: 5. A spring whose natural length of 15 cm is stretched to 19.8 cm in length. What is the work done…

A: Given values:xo = 15 cm = 0.15 mx = 19.8 cm = 0.198 mk = 5 N/m Introduction:We know, work done =…

Q: Find the coordinates of the local minimum of the function f(x) = x²+3x²+5x.

A: The objective of this question is to find the coordinates of the local minimum of the function f(x)…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinderto hold 450…

Q: Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x…

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Q: -17 P(X?) A X X 17

A: Step 1:Step 2:

Q: Find the error in the following work. d 2x+5 2 dx x². - 1 (2x+5)(2x)-(x²-1)2 (x²-1)² 4x²+10x-2x²+2 2…

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Q: Please solve the following calc 3 problem (show all work by hand plz)

A: Step 1:Step 2:

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Q: ☐ 4. What is step 1 for calculating volumes by shells? See where that x or y hits any curves, and…

A: The correct step 1 for calculating volumes by shells is:d) Pick a rectangular piece that is parallel…

Q: Find the coordinates of the local maximum of the function f(x) = −x³ + 2x² + 3x.

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Q: pls solve

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Q: A car is moving along a straight road. At time t seconds, the position of the car (in feet) is s(t)…

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