Consider the function P(x) = (x + 4)° (x – 4) The y-intercept is the point The x-intercept(s) is/are the point(s) As x → ∞, y → Preview As x → – ∞, Y → Preview

Q: Find an equation for the ellipse whose vertices are at (3, – 7) and (3, – 1), and focus is at (3, - ...

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Q: Can you please answer this question and show all of the steps and say what letter choice it is

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Q: 61. Evaluate fx V1 – x² dx using a. integration by parts. b. a u-substitution. c. a trigonometric su...

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Q: sketch the graph, noting the transition points and asymptotic behavior. y = x3 − 2x^2 + 3

A: To find transition points we find the second derivative    

Q: find the points of inflection. y = x3 − 4x2 + 4x

A: We find the second derivative using the power rule.

Q: Evaluate the integrals in Exercises 1-22. 1. fon 3 sin dx cos 2x dx 2. x sin x dx sin“ 2x cos 2x dx ...

A: Hi there, the exact one was not specified. so, I have answered first question. 

Q: Find dy by implicit differentiation, given that eT° Y + 7 ln (x) = y. Your answer could involve both...

A: To determine the implicit derivative of the function.

Q: 3. Which of the following pairs of sums are not equal? Σ: Σ ω ΣΑ ΣΗ (a) j- (ω Σί Σα -1) (ω Σι6+1), Σ...

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Q: Solve the initial value problems in Exercises 67–70 for x as a function of t. 67. (² – 3t + 2) = 1 (...

A: Hello thank you for the question. We’ll answer the first question since the exact one wasn’t specifi...

Q: Can you please answer question 6 and show all of the steps and say the letter

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Q: please solve it and show yor work

A: On the right-hand end, x is going to infinity there f(x) is also going to infinity because it is goi...

Q: Reduce the integral to the integral of a rational function, then briefly describe how you would fini...

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Q: 19. Show that et grows faster as x→∞ than x" for any positive inte- ger n, even '.000,000. (Hint: Wh...

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Q: Suppose f(x) (in first answer box) and then evaluating the limit (in the second answer box). Evaluat...

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Q: Evaluate the integrals in Exercises 51–56 by making a substitution (possibly trigonometric) and then...

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Q: use the most convenient method (Disk or Shell Method) to find the given volume ofrotation. Region be...

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Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe given a...

A: We graph the region using a graphing calculator.  The shaded region is rotating about the x=-2 axis...

Q: The demand function for a certain product is given by 1000 500 + q + 1 where p is the price and q is...

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Q: Suppose that F ,(x) = f (x) and G ,(x) = g(x). Which of the following statements are true? Explain. ...

A: a) We can have f=g=2  And F(x)=2x+3 and G(x)=2x+5 Then F'(x)=f(x)=2 And G'(x)=g(x)=2 So, f=g does no...

Q: find the volume of the solid with the given base and cross sections The base is the region enclosed ...

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Q: Two quantities increase exponentially with growth constants k = 1.2 and k = 3.4, respectively. Which...

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Q: {b_n}={3^n/n!}

A: We first expand the summation sign  

Q: Prove the following limit formula for e: e = lim (1+x)!/x

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Q: Solve the differential equation in Exercises 9–22. dy dy = x²Vy, y> 0 10. dx 9. 2Vxy = 1, x, y > 0 d...

A: –  “Since you have asked multiple question, we will solve the first question for you. If you want an...

Q: 11. Show that if positive functions f(x) and g(x) grow at the same rate as x→∞, then f = 0(g) and g ...

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Q: use the most convenient method (Disk or Shell Method) to find the volume obtained byrotating region ...

A: We will rotate the region B around the blue line y=-2  

Q: find all critical points of f and use the First Derivative Test to determine whether they are local ...

A: Consider the function  

Q: How much must be deposited today into the following account in order to have 60,000 in 5 years for a...

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Q: 82. Use the definitions of the hyperbolic functions to find each of the following limits. b. lim tan...

A: Dear Students, I am solving here 3 parts  (a), (b) and (c). In case you need help with the other que...

Q: Can you please solve these sub questions and show all of the steps

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Q: 77. Skydiving If a body of mass m falling from rest under the action of gravity encounters an air re...

A: Given the differential equation: Part (a) Taking derivative both sides, we get:

Q: 15. A rancher will use 600 m of fencing to build a corral in the shape of a semicircle on top of a r...

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Q: Explain why L’Hôpital’s Rule gives no information about lim x→∞ 2x − sin x/3x + cos 2x. Evaluate the...

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Q: 2.) (3x + x2) sin(2x) dx Use whatever method you want to

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Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = e−2x , [...

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Q: Find the derivative of f (w) = (w2-2)" %3D Enclose numerators and denominators in parentheses. For e...

A: To determine the derivative of the function.    

Q: The interval [1, 5] is divided into eight subintervals. (a) What is the left endpoint of the last su...

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Q: In Exercises 27–40, use a substitution to change the integral into one you can find in the table. Th...

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

Q: 24. Distance traveled The accompanying table shows time-to- speed data for a sports car accelerating...

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Q: Verify the MVT for f (x) = ln x on [1, 4].

A: f(x)=lnx is continuous in the interval [1,4] f'(x) = 1/x is also continuous on (1,4) So f(x) satisf...

Q: 23. Volume of water in a swimming pool A rectangular swimming pool is 30 ft wide and 50 ft long. The...

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Q: 18. The graph of x2/3 + y²/3 = 1 is called an astroid and is given be- low. Find the volume of the s...

A: We want to find the volume of solid formed by the revolving the region enclosed by the asteroid abou...

Q: The graph is like a semi circle, how would i go about setting up the integral?

A: The formula for the area of the polar region is

Q: use the Shell Method to compute the volume obtained by rotating the region enclosed bythe graphs as ...

A: We graph the region first The shaded region is rotating about the y-axis.    

Q: Find (f1) (a). f(x) = tan-(x) 6x2, a = 0 (F-1)'(a) = Additional Materials

A: We use the property of function and inverse function and differentiate both sides with respect to x....

Q: How much work is done raising a 4-kg mass to a height of 16 m above ground?

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Q: 2. What is the relation between dV /dt and dr/dt if V = ()7r? %3D

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Q: 25. Wing design The design of a new airplane requires a gasoline tank of constant cross-sectional ar...

A: Give the figure:

Q: A coffeeshop determines that it can sell 5000 cups of coffee at a price of $1.50, but for every $1 i...

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Q: sketch the graph of a function f whose derivative f' has the given description. f'(x) > 0 for x &...

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